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Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17298","authors":"Laurent Vit, Oliver Batchelor and Richard Green","title":"3D Gaussian Accelerated Ray Tracing: Fast training through particle-based backward propagation","url":"https://arxiv.org/abs/2608.17298v1","ver... | CC-BY-4.0 | assets/c02eebaeffaaf5be602c8272c580d351e90af39b9d2d2e5d2518be18e7c28506.pdf | c02eebaeffaaf5be602c8272c580d351e90af39b9d2d2e5d2518be18e7c28506 | arxiv:2608.17298 | page | 2 | {"arxiv_id":"2608.17298","authors":"Laurent Vit, Oliver Batchelor and Richard Green","title":"3D Gaussian Accelerated Ray Tracing: Fast training through particle-based backward propagation","url":"https://arxiv.org/abs/2608.17298v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17304","authors":"Zhiyuan Yan, Xiaofeng Zhou, Ziyue Zheng, Ziyi Yang, Wenbin Che, Wei Zhang, Yangdi Lyu, and Hongce Zhang","title":"NeuroAbs: A Neuro-Symbolic RTL Abstraction Framework for Property Checking Acceleration... | CC-BY-4.0 | assets/60be4c36c64eef2f1e7aa87ddd476679a19e4e4f8d2c10fed8f4819a2dfb6e86.pdf | 60be4c36c64eef2f1e7aa87ddd476679a19e4e4f8d2c10fed8f4819a2dfb6e86 | arxiv:2608.17304 | page | 2 | {"arxiv_id":"2608.17304","authors":"Zhiyuan Yan, Xiaofeng Zhou, Ziyue Zheng, Ziyi Yang, Wenbin Che, Wei Zhang, Yangdi Lyu, and Hongce Zhang","title":"NeuroAbs: A Neuro-Symbolic RTL Abstraction Framework for Property Checking Acceleration","url":"https://arxiv.org/abs/2608.17304v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17304","authors":"Zhiyuan Yan, Xiaofeng Zhou, Ziyue Zheng, Ziyi Yang, Wenbin Che, Wei Zhang, Yangdi Lyu, and Hongce Zhang","title":"NeuroAbs: A Neuro-Symbolic RTL Abstraction Framework for Property Checking Acceleration... | CC-BY-4.0 | assets/cadab51fa6aa207b6f093aa3588d625b57431070707fe995a9d96090c07dbf07.pdf | cadab51fa6aa207b6f093aa3588d625b57431070707fe995a9d96090c07dbf07 | arxiv:2608.17304 | page | 5 | {"arxiv_id":"2608.17304","authors":"Zhiyuan Yan, Xiaofeng Zhou, Ziyue Zheng, Ziyi Yang, Wenbin Che, Wei Zhang, Yangdi Lyu, and Hongce Zhang","title":"NeuroAbs: A Neuro-Symbolic RTL Abstraction Framework for Property Checking Acceleration","url":"https://arxiv.org/abs/2608.17304v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[114.82,207.52,117.7,12.43],"bbox_pdf":[114.82,572.05,232.52,584.48],"fragments":[{"bbox_pdf":[114.82,572.05,232.52,584.48],"words":[4010,4012,4013,4014,4015,4016,4017,4018,4019,4020,4021]}],"html":null,"kind":"paragraph","latex":"\\tau:\\{a\\in A\\mid\\Phi_{\\mathit{loc}}(a)=\\mathit{true}\\}\\rightar... | CC-BY-4.0 | assets/cadab51fa6aa207b6f093aa3588d625b57431070707fe995a9d96090c07dbf07.pdf | cadab51fa6aa207b6f093aa3588d625b57431070707fe995a9d96090c07dbf07 | arxiv:2608.17304 | formula | 5 | {"arxiv_id":"2608.17304","authors":"Zhiyuan Yan, Xiaofeng Zhou, Ziyue Zheng, Ziyi Yang, Wenbin Che, Wei Zhang, Yangdi Lyu, and Hongce Zhang","title":"NeuroAbs: A Neuro-Symbolic RTL Abstraction Framework for Property Checking Acceleration","url":"https://arxiv.org/abs/2608.17304v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[140.45,482.16,154.13,11.13],"bbox_pdf":[140.45,298.71,294.58,309.84],"fragments":[{"bbox_pdf":[140.45,298.71,294.58,309.84],"words":[4222,4224,4225,4227,4228,4229,4231]}],"html":null,"kind":"paragraph","latex":"\\begin{split}\\forall V,\\ S(V)\\Rightarrow\\hat{S}(V)\\end{split}","level":null,"list_dep... | CC-BY-4.0 | assets/cadab51fa6aa207b6f093aa3588d625b57431070707fe995a9d96090c07dbf07.pdf | cadab51fa6aa207b6f093aa3588d625b57431070707fe995a9d96090c07dbf07 | arxiv:2608.17304 | formula | 5 | {"arxiv_id":"2608.17304","authors":"Zhiyuan Yan, Xiaofeng Zhou, Ziyue Zheng, Ziyi Yang, Wenbin Che, Wei Zhang, Yangdi Lyu, and Hongce Zhang","title":"NeuroAbs: A Neuro-Symbolic RTL Abstraction Framework for Property Checking Acceleration","url":"https://arxiv.org/abs/2608.17304v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[119.19,619.74,175.4,16.4],"bbox_pdf":[119.19,155.87,294.58,172.26],"fragments":[{"bbox_pdf":[119.19,155.87,294.58,172.26],"words":[4328,4329,4330,4332,4334,4335,4337,4339,4340,4341,4343,4345]}],"html":null,"kind":"paragraph","latex":"\\begin{split}\\forall V,\\ \\exists Y,\\ \\left[S(V,Y)\\Rightarrow\... | CC-BY-4.0 | assets/cadab51fa6aa207b6f093aa3588d625b57431070707fe995a9d96090c07dbf07.pdf | cadab51fa6aa207b6f093aa3588d625b57431070707fe995a9d96090c07dbf07 | arxiv:2608.17304 | formula | 5 | {"arxiv_id":"2608.17304","authors":"Zhiyuan Yan, Xiaofeng Zhou, Ziyue Zheng, Ziyi Yang, Wenbin Che, Wei Zhang, Yangdi Lyu, and Hongce Zhang","title":"NeuroAbs: A Neuro-Symbolic RTL Abstraction Framework for Property Checking Acceleration","url":"https://arxiv.org/abs/2608.17304v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17304","authors":"Zhiyuan Yan, Xiaofeng Zhou, Ziyue Zheng, Ziyi Yang, Wenbin Che, Wei Zhang, Yangdi Lyu, and Hongce Zhang","title":"NeuroAbs: A Neuro-Symbolic RTL Abstraction Framework for Property Checking Acceleration... | CC-BY-4.0 | assets/239361f66e6ca99a8134707bfb5c0ed2a9403f6e6728471918cf2f5f837a2ec9.pdf | 239361f66e6ca99a8134707bfb5c0ed2a9403f6e6728471918cf2f5f837a2ec9 | arxiv:2608.17304 | page | 7 | {"arxiv_id":"2608.17304","authors":"Zhiyuan Yan, Xiaofeng Zhou, Ziyue Zheng, Ziyi Yang, Wenbin Che, Wei Zhang, Yangdi Lyu, and Hongce Zhang","title":"NeuroAbs: A Neuro-Symbolic RTL Abstraction Framework for Property Checking Acceleration","url":"https://arxiv.org/abs/2608.17304v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[120.92,373.44,173.66,16.4],"bbox_pdf":[120.92,402.17,294.58,418.56],"fragments":[{"bbox_pdf":[120.92,402.17,294.58,418.56],"words":[6086,6087,6088,6090,6092,6093,6095,6097,6098,6099,6101,6103]}],"html":null,"kind":"paragraph","latex":"\\begin{split}\\forall V,\\ \\exists Y,\\ \\left[S(V,Y)\\neq\\hat{S... | CC-BY-4.0 | assets/239361f66e6ca99a8134707bfb5c0ed2a9403f6e6728471918cf2f5f837a2ec9.pdf | 239361f66e6ca99a8134707bfb5c0ed2a9403f6e6728471918cf2f5f837a2ec9 | arxiv:2608.17304 | formula | 7 | {"arxiv_id":"2608.17304","authors":"Zhiyuan Yan, Xiaofeng Zhou, Ziyue Zheng, Ziyi Yang, Wenbin Che, Wei Zhang, Yangdi Lyu, and Hongce Zhang","title":"NeuroAbs: A Neuro-Symbolic RTL Abstraction Framework for Property Checking Acceleration","url":"https://arxiv.org/abs/2608.17304v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17305","authors":"Hassan Tavakoli, Thinh Nguyen, Bella Bose","title":"Chi-Squared Geometry for Robust Finite-Blocklength Information and Dispersion Analysis","url":"https://arxiv.org/abs/2608.17305v1","version":1},"bloc... | CC-BY-4.0 | assets/eead45b6b667ba28fc66e45a3c6d57b9d412500dc9011832b5a8256719283a3f.pdf | eead45b6b667ba28fc66e45a3c6d57b9d412500dc9011832b5a8256719283a3f | arxiv:2608.17305 | page | 6 | {"arxiv_id":"2608.17305","authors":"Hassan Tavakoli, Thinh Nguyen, Bella Bose","title":"Chi-Squared Geometry for Robust Finite-Blocklength Information and Dispersion Analysis","url":"https://arxiv.org/abs/2608.17305v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1},... | CC-BY-4.0 | assets/3002cd09b3974c188c6aecc522eb36b4a446b99833e96a3dd35caceeb32758cb.pdf | 3002cd09b3974c188c6aecc522eb36b4a446b99833e96a3dd35caceeb32758cb | arxiv:2608.17317 | page | 2 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1},... | CC-BY-4.0 | assets/f5825cfebc1f0f44b538de77982d861d0115cf17467f7ad9587ad1882636f357.pdf | f5825cfebc1f0f44b538de77982d861d0115cf17467f7ad9587ad1882636f357 | arxiv:2608.17317 | page | 4 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[253.14,201.05,104.53,35.39],"bbox_pdf":[253.14,555.56,357.67,590.95],"fragments":[{"bbox_pdf":[253.14,555.56,357.67,590.95],"words":[1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343]}],"html":null,"kind":"paragraph","latex":"e_{\\xi}(\\eta)=\\begin{cases}1,&\\text{if $\\eta=\\xi$}... | CC-BY-4.0 | assets/f5825cfebc1f0f44b538de77982d861d0115cf17467f7ad9587ad1882636f357.pdf | f5825cfebc1f0f44b538de77982d861d0115cf17467f7ad9587ad1882636f357 | arxiv:2608.17317 | formula | 4 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[267.58,278.64,76.83,12.47],"bbox_pdf":[267.58,500.89,344.42,513.36],"fragments":[{"bbox_pdf":[267.58,500.89,344.42,513.36],"words":[1372,1373,1374,1375,1376,1377,1378,1379]}],"html":null,"kind":"paragraph","latex":"\\mathbb{Z}^{(\\mathfrak{c})}\\leq G\\leq\\mathbb{Q}^{(\\mathfrak{c})}.","level":null,"... | CC-BY-4.0 | assets/f5825cfebc1f0f44b538de77982d861d0115cf17467f7ad9587ad1882636f357.pdf | f5825cfebc1f0f44b538de77982d861d0115cf17467f7ad9587ad1882636f357 | arxiv:2608.17317 | formula | 4 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[229.49,340.7,153.01,12.64],"bbox_pdf":[229.49,438.66,382.51,451.3],"fragments":[{"bbox_pdf":[229.49,438.66,382.51,451.3],"words":[1397,1398,1399,1400,1401,1402,1403,1404,1405,1406]}],"html":null,"kind":"paragraph","latex":"G\\longrightarrow\\mathbb{Q}\\otimes_{\\mathbb{Z}}G,\\qquad x\\longmapsto 1\\ot... | CC-BY-4.0 | assets/f5825cfebc1f0f44b538de77982d861d0115cf17467f7ad9587ad1882636f357.pdf | f5825cfebc1f0f44b538de77982d861d0115cf17467f7ad9587ad1882636f357 | arxiv:2608.17317 | formula | 4 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[130.04,461.96,351.93,39.41],"bbox_pdf":[130.04,290.64,481.96,330.04],"fragments":[{"bbox_pdf":[130.04,290.64,481.96,330.04],"words":[1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1533,1534,1535,1536,1537]}],"html":null,"kind":"paragraph","late... | CC-BY-4.0 | assets/f5825cfebc1f0f44b538de77982d861d0115cf17467f7ad9587ad1882636f357.pdf | f5825cfebc1f0f44b538de77982d861d0115cf17467f7ad9587ad1882636f357 | arxiv:2608.17317 | formula | 4 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[125.4,651.62,223.75,16.89],"bbox_pdf":[125.4,123.5,349.15,140.38],"fragments":[{"bbox_pdf":[125.4,123.5,349.15,140.38],"words":[1662,1663,1664,1665,1666,1667,1668]}],"html":null,"kind":"paragraph","latex":"p\\text{-}\\lim_{n}s(\\varphi(n))=b.","level":null,"list_depth":null,"match":{"src_placed":1.0,"... | CC-BY-4.0 | assets/f5825cfebc1f0f44b538de77982d861d0115cf17467f7ad9587ad1882636f357.pdf | f5825cfebc1f0f44b538de77982d861d0115cf17467f7ad9587ad1882636f357 | arxiv:2608.17317 | formula | 4 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1},... | CC-BY-4.0 | assets/535dbc1c5157934669b62dc1b9dca39a90bc1b81db3de4781261fed0e315b493.pdf | 535dbc1c5157934669b62dc1b9dca39a90bc1b81db3de4781261fed0e315b493 | arxiv:2608.17317 | page | 5 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[215.16,326.74,181.69,14.16],"bbox_pdf":[215.16,451.1,396.84,465.26],"fragments":[{"bbox_pdf":[215.16,451.1,396.84,465.26],"words":[1872,1874,1875,1876,1877,1878,1879,1880,1881,1882]}],"html":null,"kind":"paragraph","latex":"\\Delta:G\\longrightarrow\\mathbb{T}^{J},\\qquad\\Delta(x)=(\\psi_{j}(x))_{j\\... | CC-BY-4.0 | assets/535dbc1c5157934669b62dc1b9dca39a90bc1b81db3de4781261fed0e315b493.pdf | 535dbc1c5157934669b62dc1b9dca39a90bc1b81db3de4781261fed0e315b493 | arxiv:2608.17317 | formula | 5 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[255.52,602.98,100.96,17.84],"bbox_pdf":[255.52,171.18,356.48,189.02],"fragments":[{"bbox_pdf":[255.52,171.18,356.48,189.02],"words":[2110,2111,2112,2113,2114,2115,2116]}],"html":null,"kind":"paragraph","latex":"\\max_{i<m}\\|\\psi(z_{i})-t_{i}\\|<\\varepsilon.","level":null,"list_depth":null,"match":{... | CC-BY-4.0 | assets/535dbc1c5157934669b62dc1b9dca39a90bc1b81db3de4781261fed0e315b493.pdf | 535dbc1c5157934669b62dc1b9dca39a90bc1b81db3de4781261fed0e315b493 | arxiv:2608.17317 | formula | 5 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[244.86,682.51,122.27,17.84],"bbox_pdf":[244.86,91.65,367.14,109.49],"fragments":[{"bbox_pdf":[244.86,91.65,367.14,109.49],"words":[2162,2163,2164,2165,2166,2167,2168,2169]}],"html":null,"kind":"paragraph","latex":"\\rho_{\\infty}(u,v)=\\max_{i<m}\\|u_{i}-v_{i}\\|.","level":null,"list_depth":null,"matc... | CC-BY-4.0 | assets/535dbc1c5157934669b62dc1b9dca39a90bc1b81db3de4781261fed0e315b493.pdf | 535dbc1c5157934669b62dc1b9dca39a90bc1b81db3de4781261fed0e315b493 | arxiv:2608.17317 | formula | 5 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1},... | CC-BY-4.0 | assets/fd90e22196afb8701a1fda6d0ecb09b740439b4554811dda842e8f88cea62ff5.pdf | fd90e22196afb8701a1fda6d0ecb09b740439b4554811dda842e8f88cea62ff5 | arxiv:2608.17317 | page | 6 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[204.12,144.8,203.77,12.48],"bbox_pdf":[204.12,634.72,407.88,647.2],"fragments":[{"bbox_pdf":[204.12,634.72,407.88,647.2],"words":[2202,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217]}],"html":null,"kind":"paragraph","latex":"E:\\mathbb{T}=\\mathbb{R}/\\mathbb{Z}\\longrightarrow\... | CC-BY-4.0 | assets/fd90e22196afb8701a1fda6d0ecb09b740439b4554811dda842e8f88cea62ff5.pdf | fd90e22196afb8701a1fda6d0ecb09b740439b4554811dda842e8f88cea62ff5 | arxiv:2608.17317 | formula | 6 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[184.19,169.26,225.0,34.73],"bbox_pdf":[184.19,588.02,409.2,622.74],"fragments":[{"bbox_pdf":[184.19,588.02,409.2,622.74],"words":[2230,2231,2232,2233,2234,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247]}],"html":null,"kind":"paragraph","latex":"\\phi_{a}:\\mathbb{T}^{m}\\longrightarrow\\m... | CC-BY-4.0 | assets/fd90e22196afb8701a1fda6d0ecb09b740439b4554811dda842e8f88cea62ff5.pdf | fd90e22196afb8701a1fda6d0ecb09b740439b4554811dda842e8f88cea62ff5 | arxiv:2608.17317 | formula | 6 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[254.98,627.47,102.04,39.98],"bbox_pdf":[254.98,124.54,357.02,164.53],"fragments":[{"bbox_pdf":[254.98,124.54,357.02,164.53],"words":[2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602]}],"html":null,"kind":"paragraph","latex":"\\left\\|f-\\sum_{a\\in S}c_{a}\\phi_{a}\\righ... | CC-BY-4.0 | assets/fd90e22196afb8701a1fda6d0ecb09b740439b4554811dda842e8f88cea62ff5.pdf | fd90e22196afb8701a1fda6d0ecb09b740439b4554811dda842e8f88cea62ff5 | arxiv:2608.17317 | formula | 6 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1},... | CC-BY-4.0 | assets/d7d028a7b275be2a1a80e445eb41afa3d798e677e18074efd4ecd6f5d5751030.pdf | d7d028a7b275be2a1a80e445eb41afa3d798e677e18074efd4ecd6f5d5751030 | arxiv:2608.17317 | page | 7 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[198.84,226.18,214.32,13.9],"bbox_pdf":[198.84,551.92,413.16,565.82],"fragments":[{"bbox_pdf":[198.84,551.92,413.16,565.82],"words":[2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750]}],"html":null,"kind":"paragraph","latex":"\\|f-P_{f_{j}}\\|_{\\infty}\\leq\\|f-f_{j}\\|_{\\infty}+\\|f_{... | CC-BY-4.0 | assets/d7d028a7b275be2a1a80e445eb41afa3d798e677e18074efd4ecd6f5d5751030.pdf | d7d028a7b275be2a1a80e445eb41afa3d798e677e18074efd4ecd6f5d5751030 | arxiv:2608.17317 | formula | 7 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[191.23,280.03,229.54,39.41],"bbox_pdf":[191.23,472.56,420.77,511.97],"fragments":[{"bbox_pdf":[191.23,472.56,420.77,511.97],"words":[2771,2772,2773,2774,2775,2776,2777,2778,2779,2781,2782,2783,2784,2785,2786,2787,2788,2789,2790]}],"html":null,"kind":"paragraph","latex":"H_{R}=\\left\\{u\\in\\mathbb{T}... | CC-BY-4.0 | assets/d7d028a7b275be2a1a80e445eb41afa3d798e677e18074efd4ecd6f5d5751030.pdf | d7d028a7b275be2a1a80e445eb41afa3d798e677e18074efd4ecd6f5d5751030 | arxiv:2608.17317 | formula | 7 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[222.8,388.57,166.39,32.6],"bbox_pdf":[222.8,370.83,389.19,403.43],"fragments":[{"bbox_pdf":[222.8,370.83,389.19,403.43],"words":[2862,2863,2864,2865,2866,2867,2868,2869,2870,2871,2872]}],"html":null,"kind":"paragraph","latex":"\\int_{H}g(x+h)\\,d\\mu(h)=\\int_{H}g(h)\\,d\\mu(h).","level":null,"list_de... | CC-BY-4.0 | assets/d7d028a7b275be2a1a80e445eb41afa3d798e677e18074efd4ecd6f5d5751030.pdf | d7d028a7b275be2a1a80e445eb41afa3d798e677e18074efd4ecd6f5d5751030 | arxiv:2608.17317 | formula | 7 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[125.4,478.82,286.78,14.16],"bbox_pdf":[125.4,299.02,412.18,313.18],"fragments":[{"bbox_pdf":[125.4,299.02,412.18,313.18],"words":[2912,2913,2914,2915,2916,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927]}],"html":null,"kind":"paragraph","latex":"\\{a\\in\\mathbb{Z}^{m}:\\phi_{a}(h)=1\\text{ for ever... | CC-BY-4.0 | assets/d7d028a7b275be2a1a80e445eb41afa3d798e677e18074efd4ecd6f5d5751030.pdf | d7d028a7b275be2a1a80e445eb41afa3d798e677e18074efd4ecd6f5d5751030 | arxiv:2608.17317 | formula | 7 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[125.4,525.51,276.84,37.42],"bbox_pdf":[125.4,229.08,402.24,266.49],"fragments":[{"bbox_pdf":[125.4,229.08,402.24,266.49],"words":[2944,2945,2946,2947,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2964,2965]}],"html":null,"kind":"paragraph","latex":"\\int_{H_{R}}\\phi_{a}(s... | CC-BY-4.0 | assets/d7d028a7b275be2a1a80e445eb41afa3d798e677e18074efd4ecd6f5d5751030.pdf | d7d028a7b275be2a1a80e445eb41afa3d798e677e18074efd4ecd6f5d5751030 | arxiv:2608.17317 | formula | 7 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[202.01,660.95,207.97,39.41],"bbox_pdf":[202.01,91.65,409.99,131.05],"fragments":[{"bbox_pdf":[202.01,91.65,409.99,131.05],"words":[3085,3086,3087,3088,3089,3090,3091,3092,3093,3094,3095,3096,3097,3098,3099,3100]}],"html":null,"kind":"paragraph","latex":"\\sum_{i<m}r_{i}u_{i}=\\phi\\left(\\pi\\left(\\s... | CC-BY-4.0 | assets/d7d028a7b275be2a1a80e445eb41afa3d798e677e18074efd4ecd6f5d5751030.pdf | d7d028a7b275be2a1a80e445eb41afa3d798e677e18074efd4ecd6f5d5751030 | arxiv:2608.17317 | formula | 7 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1},... | CC-BY-4.0 | assets/1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb.pdf | 1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb | arxiv:2608.17317 | page | 9 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[125.4,130.05,232.5,32.01],"bbox_pdf":[125.4,629.93,357.9,661.95],"fragments":[{"bbox_pdf":[125.4,629.93,357.9,661.95],"words":[3420,3421,3422,3423,3424,3425]}],"html":null,"kind":"paragraph","latex":"A(s)=\\sum_{a\\in S\\cap R}c_{a}\\phi_{a}(s).","level":null,"list_depth":null,"match":{"src_placed":1.... | CC-BY-4.0 | assets/1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb.pdf | 1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb | arxiv:2608.17317 | formula | 9 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[125.4,199.02,316.28,32.01],"bbox_pdf":[125.4,560.97,441.68,592.98],"fragments":[{"bbox_pdf":[125.4,560.97,441.68,592.98],"words":[3457,3458,3459,3460,3461,3462,3463,3464,3465,3466,3467,3468,3469,3470,3471,3472]}],"html":null,"kind":"paragraph","latex":"A(t)=\\sum_{a\\in S\\cap R}c_{a}\\phi_{a}(t)=\\su... | CC-BY-4.0 | assets/1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb.pdf | 1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb | arxiv:2608.17317 | formula | 9 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[125.4,252.83,308.46,34.83],"bbox_pdf":[125.4,504.35,433.85,539.17],"fragments":[{"bbox_pdf":[125.4,504.35,433.85,539.17],"words":[3484,3485,3486,3487,3488,3489,3490,3491,3492,3493,3494,3495,3496,3497,3498,3499,3500,3501,3502,3503,3504,3505,3506]}],"html":null,"kind":"paragraph","latex":"|A(0)|=\\left|... | CC-BY-4.0 | assets/1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb.pdf | 1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb | arxiv:2608.17317 | formula | 9 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[125.4,324.03,309.71,34.83],"bbox_pdf":[125.4,433.15,435.11,467.97],"fragments":[{"bbox_pdf":[125.4,433.15,435.11,467.97],"words":[3538,3539,3540,3541,3542,3543,3544,3545,3546,3547,3548,3549,3550,3551,3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,3562]}],"html":null,"kind":"paragraph","latex":"|d(t... | CC-BY-4.0 | assets/1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb.pdf | 1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb | arxiv:2608.17317 | formula | 9 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[196.28,388.64,219.45,10.91],"bbox_pdf":[196.28,392.45,415.73,403.36],"fragments":[{"bbox_pdf":[196.28,392.45,415.73,403.36],"words":[3567,3568,3569,3570,3571,3572,3573,3574,3575,3576,3577,3578,3579]}],"html":null,"kind":"paragraph","latex":"d(t)=|d(t)|\\leq|d(t)-A(t)|+|A(0)|<2\\eta<\\varepsilon.","lev... | CC-BY-4.0 | assets/1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb.pdf | 1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb | arxiv:2608.17317 | formula | 9 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[247.1,502.23,117.8,39.41],"bbox_pdf":[247.1,250.36,364.9,289.77],"fragments":[{"bbox_pdf":[247.1,250.36,364.9,289.77],"words":[3659,3660,3661,3662,3663,3664,3665,3666,3667,3668]}],"html":null,"kind":"paragraph","latex":"\\varphi\\left(\\sum_{i<m}n_{i}z_{i}\\right)=\\sum_{i<m}n_{i}u_{i}.","level":null,... | CC-BY-4.0 | assets/1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb.pdf | 1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb | arxiv:2608.17317 | formula | 9 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[208.08,579.33,195.84,31.84],"bbox_pdf":[208.08,180.84,403.92,212.67],"fragments":[{"bbox_pdf":[208.08,180.84,403.92,212.67],"words":[3707,3708,3709,3710,3711,3712,3713,3714,3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3725,3726]}],"html":null,"kind":"paragraph","latex":"\\sum_{i<m}n_{i}u_{i}-\\su... | CC-BY-4.0 | assets/1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb.pdf | 1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb | arxiv:2608.17317 | formula | 9 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[229.19,663.15,153.63,17.84],"bbox_pdf":[229.19,111.01,382.81,128.85],"fragments":[{"bbox_pdf":[229.19,111.01,382.81,128.85],"words":[3762,3763,3764,3765,3766,3767,3768,3769,3770,3771]}],"html":null,"kind":"paragraph","latex":"\\max_{i<m}\\|\\psi(z_{i})-t_{i}\\|=\\rho_{\\infty}(u,t)<\\varepsilon.","lev... | CC-BY-4.0 | assets/1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb.pdf | 1e90f0e617bb9bc96901116977ddbfc49a4325358329d93c5223ec18939646bb | arxiv:2608.17317 | formula | 9 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1},... | CC-BY-4.0 | assets/a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a.pdf | a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a | arxiv:2608.17317 | page | 12 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[185.23,132.98,241.55,12.55],"bbox_pdf":[185.23,646.47,426.77,659.02],"fragments":[{"bbox_pdf":[185.23,646.47,426.77,659.02],"words":[4625,4626,4627,4628,4629,4630,4631,4633,4634,4635,4636,4637,4638,4639,4640]}],"html":null,"kind":"paragraph","latex":"B(R,Q)=\\max\\left(\\{1\\}\\cup\\left\\{b(\\mathbf{... | CC-BY-4.0 | assets/a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a.pdf | a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a | arxiv:2608.17317 | formula | 12 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[248.04,181.69,115.92,10.91],"bbox_pdf":[248.04,599.4,363.96,610.31],"fragments":[{"bbox_pdf":[248.04,599.4,363.96,610.31],"words":[4673,4674,4675,4676,4677,4678]}],"html":null,"kind":"paragraph","latex":"\\operatorname{ht}(\\lambda)=b(\\mathbf{v})\\leq B(R,Q).","level":null,"list_depth":null,"match":{... | CC-BY-4.0 | assets/a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a.pdf | a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a | arxiv:2608.17317 | formula | 12 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[264.78,323.97,82.44,10.91],"bbox_pdf":[264.78,457.12,347.22,468.03],"fragments":[{"bbox_pdf":[264.78,457.12,347.22,468.03],"words":[4770,4771,4772,4773,4774]}],"html":null,"kind":"paragraph","latex":"M=(R+1)BQ.","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"order":11,"role... | CC-BY-4.0 | assets/a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a.pdf | a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a | arxiv:2608.17317 | formula | 12 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[173.0,411.54,266.0,12.6],"bbox_pdf":[173.0,367.87,439.0,380.46],"fragments":[{"bbox_pdf":[173.0,367.87,439.0,380.46],"words":[4836,4837,4838,4839,4840,4841,4842,4843,4844,4845,4846,4847]}],"html":null,"kind":"paragraph","latex":"(\\beta_{i},\\gamma_{i})\\in\\operatorname{Rel}_{G}(A,Y\\cup\\{x_{i}\\})\... | CC-BY-4.0 | assets/a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a.pdf | a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a | arxiv:2608.17317 | formula | 12 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[125.4,438.54,274.35,32.01],"bbox_pdf":[125.4,321.45,399.75,353.46],"fragments":[{"bbox_pdf":[125.4,321.45,399.75,353.46],"words":[4849,4850,4851,4852,4853,4854,4855,4856,4857,4858,4859,4860,4861,4862,4863]}],"html":null,"kind":"paragraph","latex":"\\sum_{a\\in A}\\beta_{i}(a)\\,a+\\sum_{y\\in Y}\\gamm... | CC-BY-4.0 | assets/a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a.pdf | a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a | arxiv:2608.17317 | formula | 12 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[261.31,520.07,89.38,12.55],"bbox_pdf":[261.31,259.38,350.69,271.93],"fragments":[{"bbox_pdf":[261.31,259.38,350.69,271.93],"words":[4893,4894,4895,4899]}],"html":null,"kind":"paragraph","latex":"A=\\{a_{0},\\ldots,a_{s-1}\\}","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"o... | CC-BY-4.0 | assets/a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a.pdf | a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a | arxiv:2608.17317 | formula | 12 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[230.52,554.27,150.96,14.11],"bbox_pdf":[230.52,223.62,381.48,237.73],"fragments":[{"bbox_pdf":[230.52,223.62,381.48,237.73],"words":[4907,4908,4909,4914,4915,4916,4917,4918,4919,4920]}],"html":null,"kind":"paragraph","latex":"b_{i}=(\\beta_{i}(a_{0}),\\ldots,\\beta_{i}(a_{s-1}))\\in\\mathbb{Z}^{s}.","... | CC-BY-4.0 | assets/a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a.pdf | a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a | arxiv:2608.17317 | formula | 12 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[223.15,596.65,165.7,31.9],"bbox_pdf":[223.15,163.45,388.85,195.35],"fragments":[{"bbox_pdf":[223.15,163.45,388.85,195.35],"words":[4953,4954,4955,4956,4957,4958,4959,4960,4961,4962,4963]}],"html":null,"kind":"paragraph","latex":"|\\lambda_{i}|\\leq B\\quad(i\\leq s),\\qquad\\sum_{i\\leq s}\\lambda_{i}... | CC-BY-4.0 | assets/a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a.pdf | a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a | arxiv:2608.17317 | formula | 12 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[208.19,656.42,195.63,42.57],"bbox_pdf":[208.19,93.0,403.82,135.58],"fragments":[{"bbox_pdf":[208.19,93.0,403.82,135.58],"words":[4989,4990,4991,4992,4993,4994,4995,4996,4997,4998,4999,5000,5001,5002,5003,5004]}],"html":null,"kind":"paragraph","latex":"\\sum_{y\\in Y}\\left(\\sum_{i\\leq s}\\lambda_{i}... | CC-BY-4.0 | assets/a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a.pdf | a145d889e5cdd5d4a1d06908a7505e1f8e79e044101237f4baf2bc5aa428144a | arxiv:2608.17317 | formula | 12 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1},... | CC-BY-4.0 | assets/c02468deab63fb5387dc278830e8ebc898860e198fd315da4b4774ce95a3878b.pdf | c02468deab63fb5387dc278830e8ebc898860e198fd315da4b4774ce95a3878b | arxiv:2608.17317 | page | 23 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[198.17,153.62,215.66,14.25],"bbox_pdf":[198.17,624.13,413.83,638.38],"fragments":[{"bbox_pdf":[198.17,624.13,413.83,638.38],"words":[8558,8560,8561,8562,8563,8564,8565,8566,8567,8568,8569,8570,8571,8572]}],"html":null,"kind":"paragraph","latex":"\\Delta_{G}:G\\longrightarrow\\mathbb{T}^{\\,G\\setminus... | CC-BY-4.0 | assets/c02468deab63fb5387dc278830e8ebc898860e198fd315da4b4774ce95a3878b.pdf | c02468deab63fb5387dc278830e8ebc898860e198fd315da4b4774ce95a3878b | arxiv:2608.17317 | formula | 23 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[125.4,229.0,230.42,16.89],"bbox_pdf":[125.4,546.11,355.82,563.0],"fragments":[{"bbox_pdf":[125.4,546.11,355.82,563.0],"words":[8604,8605,8606,8607,8608,8609,8610]}],"html":null,"kind":"paragraph","latex":"p_{\\alpha}\\text{-}\\lim_{n}h_{\\alpha}(n)=e_{\\iota(\\alpha)}.","level":null,"list_depth":null,... | CC-BY-4.0 | assets/c02468deab63fb5387dc278830e8ebc898860e198fd315da4b4774ce95a3878b.pdf | c02468deab63fb5387dc278830e8ebc898860e198fd315da4b4774ce95a3878b | arxiv:2608.17317 | formula | 23 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[207.19,337.16,197.62,16.89],"bbox_pdf":[207.19,437.95,404.81,454.84],"fragments":[{"bbox_pdf":[207.19,437.95,404.81,454.84],"words":[8698,8699,8700,8701,8702,8703,8704,8705,8706,8707]}],"html":null,"kind":"paragraph","latex":"p_{\\alpha}\\text{-}\\lim_{n}\\psi_{x}(h_{\\alpha}(n))=\\psi_{x}(e_{\\iota(\... | CC-BY-4.0 | assets/c02468deab63fb5387dc278830e8ebc898860e198fd315da4b4774ce95a3878b.pdf | c02468deab63fb5387dc278830e8ebc898860e198fd315da4b4774ce95a3878b | arxiv:2608.17317 | formula | 23 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[238.77,490.75,134.46,24.25],"bbox_pdf":[238.77,277.0,373.23,301.25],"fragments":[{"bbox_pdf":[238.77,277.0,373.23,301.25],"words":[8817,8818,8819,8820,8821,8822,8823,8824,8826,8827,8828]}],"html":null,"kind":"paragraph","latex":"p_{\\alpha}\\text{-}\\lim_{n}s\\bigl{(}\\varphi_{\\alpha}(n)\\bigr{)}=e_{... | CC-BY-4.0 | assets/c02468deab63fb5387dc278830e8ebc898860e198fd315da4b4774ce95a3878b.pdf | c02468deab63fb5387dc278830e8ebc898860e198fd315da4b4774ce95a3878b | arxiv:2608.17317 | formula | 23 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[192.51,638.78,226.98,12.47],"bbox_pdf":[192.51,140.75,419.49,153.22],"fragments":[{"bbox_pdf":[192.51,140.75,419.49,153.22],"words":[8908,8909,8910,8911,8912,8913,8915,8916,8917,8918,8919,8920,8921,8922,8923,8924,8925,8926]}],"html":null,"kind":"paragraph","latex":"P=\\{z\\in\\mathbb{Z}^{(\\mathfrak{c... | CC-BY-4.0 | assets/c02468deab63fb5387dc278830e8ebc898860e198fd315da4b4774ce95a3878b.pdf | c02468deab63fb5387dc278830e8ebc898860e198fd315da4b4774ce95a3878b | arxiv:2608.17317 | formula | 23 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1},... | CC-BY-4.0 | assets/c87b4faef7562a9b3f2693af88c1ac540fe9186ed49fb13b938b6127c5efe008.pdf | c87b4faef7562a9b3f2693af88c1ac540fe9186ed49fb13b938b6127c5efe008 | arxiv:2608.17317 | page | 24 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[257.83,160.31,95.84,16.89],"bbox_pdf":[257.83,614.8,353.67,631.69],"fragments":[{"bbox_pdf":[257.83,614.8,353.67,631.69],"words":[9006,9007,9008,9009,9010,9011]}],"html":null,"kind":"paragraph","latex":"p_{\\alpha}\\text{-}\\lim_{n}h_{\\alpha}(n)=e_{\\iota(\\alpha)}","level":null,"list_depth":null,"ma... | CC-BY-4.0 | assets/c87b4faef7562a9b3f2693af88c1ac540fe9186ed49fb13b938b6127c5efe008.pdf | c87b4faef7562a9b3f2693af88c1ac540fe9186ed49fb13b938b6127c5efe008 | arxiv:2608.17317 | formula | 24 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[287.97,344.19,36.06,10.91],"bbox_pdf":[287.97,436.9,324.03,447.81],"fragments":[{"bbox_pdf":[287.97,436.9,324.03,447.81],"words":[9117,9118,9119]}],"html":null,"kind":"paragraph","latex":"|\\overline{A}|=\\mathfrak{c}.","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"order":... | CC-BY-4.0 | assets/c87b4faef7562a9b3f2693af88c1ac540fe9186ed49fb13b938b6127c5efe008.pdf | c87b4faef7562a9b3f2693af88c1ac540fe9186ed49fb13b938b6127c5efe008 | arxiv:2608.17317 | formula | 24 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[256.32,435.33,99.36,16.89],"bbox_pdf":[256.32,339.79,355.68,356.67],"fragments":[{"bbox_pdf":[256.32,339.79,355.68,356.67],"words":[9181,9182,9183,9184,9185,9186]}],"html":null,"kind":"paragraph","latex":"p_{\\alpha}\\text{-}\\lim_{n}h_{\\alpha}(n)=e_{\\iota(\\alpha)}.","level":null,"list_depth":null,... | CC-BY-4.0 | assets/c87b4faef7562a9b3f2693af88c1ac540fe9186ed49fb13b938b6127c5efe008.pdf | c87b4faef7562a9b3f2693af88c1ac540fe9186ed49fb13b938b6127c5efe008 | arxiv:2608.17317 | formula | 24 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[249.26,490.8,113.47,10.91],"bbox_pdf":[249.26,290.29,362.74,301.2],"fragments":[{"bbox_pdf":[249.26,290.29,362.74,301.2],"words":[9214,9215,9216,9217,9218,9219,9220,9221,9222]}],"html":null,"kind":"paragraph","latex":"\\mathfrak{c}\\leq|\\overline{B}|\\leq|\\overline{A}|\\leq|G|=\\mathfrak{c}.","level... | CC-BY-4.0 | assets/c87b4faef7562a9b3f2693af88c1ac540fe9186ed49fb13b938b6127c5efe008.pdf | c87b4faef7562a9b3f2693af88c1ac540fe9186ed49fb13b938b6127c5efe008 | arxiv:2608.17317 | formula | 24 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1},... | CC-BY-4.0 | assets/7335f2b575367e5d186d0354bfaf07a34b3ae3546aa8c323e731a9276f581587.pdf | 7335f2b575367e5d186d0354bfaf07a34b3ae3546aa8c323e731a9276f581587 | arxiv:2608.17317 | page | 25 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1},... | CC-BY-4.0 | assets/49fecfb5be1d13087e24a777540ef778f40bb410743e60a2f65037ce71c96a9c.pdf | 49fecfb5be1d13087e24a777540ef778f40bb410743e60a2f65037ce71c96a9c | arxiv:2608.17317 | page | 26 | {"arxiv_id":"2608.17317","authors":"Juliane Trianon Fraga and Vinicius de Oliveira Rodrigues","title":"The Wallace problem and countably compact torsion-free Abelian groups in ZFC","url":"https://arxiv.org/abs/2608.17317v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17454","authors":"Klesti Hoxha, Olti Qirici","title":"From Entity Mentions to Tone: An LLM-Based Pipeline for Media Bias Analysis","url":"https://arxiv.org/abs/2608.17454v1","version":1},"blocks":[{"bbox":[48.96,48.95,1... | CC-BY-4.0 | assets/eefa8fe1a5b4acd0872ac0d124d296b8a59402d8c58ef91843f48c7cd7c1e004.pdf | eefa8fe1a5b4acd0872ac0d124d296b8a59402d8c58ef91843f48c7cd7c1e004 | arxiv:2608.17454 | page | 3 | {"arxiv_id":"2608.17454","authors":"Klesti Hoxha, Olti Qirici","title":"From Entity Mentions to Tone: An LLM-Based Pipeline for Media Bias Analysis","url":"https://arxiv.org/abs/2608.17454v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17454","authors":"Klesti Hoxha, Olti Qirici","title":"From Entity Mentions to Tone: An LLM-Based Pipeline for Media Bias Analysis","url":"https://arxiv.org/abs/2608.17454v1","version":1},"blocks":[{"bbox":[48.96,51.94,2... | CC-BY-4.0 | assets/5bc38502c834554cd77abf16458f5b8a066e22d026dd11b4380ccd2187f17ebd.pdf | 5bc38502c834554cd77abf16458f5b8a066e22d026dd11b4380ccd2187f17ebd | arxiv:2608.17454 | page | 4 | {"arxiv_id":"2608.17454","authors":"Klesti Hoxha, Olti Qirici","title":"From Entity Mentions to Tone: An LLM-Based Pipeline for Media Bias Analysis","url":"https://arxiv.org/abs/2608.17454v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17454","authors":"Klesti Hoxha, Olti Qirici","title":"From Entity Mentions to Tone: An LLM-Based Pipeline for Media Bias Analysis","url":"https://arxiv.org/abs/2608.17454v1","version":1},"blocks":[{"bbox":[48.96,48.95,2... | CC-BY-4.0 | assets/17671357b60efa127ed26f52b9543686f62faf61e09ad8da4102680e22afd390.pdf | 17671357b60efa127ed26f52b9543686f62faf61e09ad8da4102680e22afd390 | arxiv:2608.17454 | page | 5 | {"arxiv_id":"2608.17454","authors":"Klesti Hoxha, Olti Qirici","title":"From Entity Mentions to Tone: An LLM-Based Pipeline for Media Bias Analysis","url":"https://arxiv.org/abs/2608.17454v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17455","authors":"Noam Berkovich Lahav, Oren Wiezel and Yizhar Or","title":"Optimal control of a swimming robot based on Purcell's microswimmer model","url":"https://arxiv.org/abs/2608.17455v2","version":2},"blocks":[{"... | CC-BY-4.0 | assets/157e9780cf8e39a8d9773a259b5bcc57f96a143514a52634eb7b09c48636e2a9.pdf | 157e9780cf8e39a8d9773a259b5bcc57f96a143514a52634eb7b09c48636e2a9 | arxiv:2608.17455 | page | 6 | {"arxiv_id":"2608.17455","authors":"Noam Berkovich Lahav, Oren Wiezel and Yizhar Or","title":"Optimal control of a swimming robot based on Purcell's microswimmer model","url":"https://arxiv.org/abs/2608.17455v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[96.41,577.28,202.39,55.29],"bbox_pdf":[96.41,159.43,298.8,214.72],"fragments":[{"bbox_pdf":[96.41,159.43,298.8,214.72],"words":[4588,4590,4591,4592,4593,4594,4595,4596,4597,4598,4599,4600,4601,4602,4603,4604,4605,4606,4607,4608,4609,4610,4611,4612,4613,4614,4615,4616,4617,4618,4619]}],"html":null,"kin... | CC-BY-4.0 | assets/157e9780cf8e39a8d9773a259b5bcc57f96a143514a52634eb7b09c48636e2a9.pdf | 157e9780cf8e39a8d9773a259b5bcc57f96a143514a52634eb7b09c48636e2a9 | arxiv:2608.17455 | formula | 6 | {"arxiv_id":"2608.17455","authors":"Noam Berkovich Lahav, Oren Wiezel and Yizhar Or","title":"Optimal control of a swimming robot based on Purcell's microswimmer model","url":"https://arxiv.org/abs/2608.17455v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[139.82,721.56,158.98,11.46],"bbox_pdf":[139.82,58.98,298.8,70.44],"fragments":[{"bbox_pdf":[139.82,58.98,298.8,70.44],"words":[4687,4688,4689,4690,4691]}],"html":null,"kind":"paragraph","latex":"J(t_{f},\\mathbf{z}_{f})=x(t_{f})","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true... | CC-BY-4.0 | assets/157e9780cf8e39a8d9773a259b5bcc57f96a143514a52634eb7b09c48636e2a9.pdf | 157e9780cf8e39a8d9773a259b5bcc57f96a143514a52634eb7b09c48636e2a9 | arxiv:2608.17455 | formula | 6 | {"arxiv_id":"2608.17455","authors":"Noam Berkovich Lahav, Oren Wiezel and Yizhar Or","title":"Optimal control of a swimming robot based on Purcell's microswimmer model","url":"https://arxiv.org/abs/2608.17455v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[386.96,387.71,171.04,24.76],"bbox_pdf":[386.96,379.53,558.0,404.29],"fragments":[{"bbox_pdf":[386.96,379.53,558.0,404.29],"words":[4784,4785,4786,4787,4788,4789,4790,4791,4792,4793,4794,4795]}],"html":null,"kind":"paragraph","latex":"|\\mathbf{u}(t)|=\\sqrt{u_{1}^{2}+u_{2}^{2}}=1","level":null,"list_d... | CC-BY-4.0 | assets/157e9780cf8e39a8d9773a259b5bcc57f96a143514a52634eb7b09c48636e2a9.pdf | 157e9780cf8e39a8d9773a259b5bcc57f96a143514a52634eb7b09c48636e2a9 | arxiv:2608.17455 | formula | 6 | {"arxiv_id":"2608.17455","authors":"Noam Berkovich Lahav, Oren Wiezel and Yizhar Or","title":"Optimal control of a swimming robot based on Purcell's microswimmer model","url":"https://arxiv.org/abs/2608.17455v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[337.38,491.52,220.62,55.29],"bbox_pdf":[337.38,245.19,558.0,300.48],"fragments":[{"bbox_pdf":[337.38,245.19,558.0,300.48],"words":[4859,4860,4861,4862,4863,4864,4865,4866,4867,4868,4869,4870,4871,4872,4873,4874,4875,4876,4877,4878,4879,4880,4881,4882,4883]}],"html":null,"kind":"paragraph","latex":"\\b... | CC-BY-4.0 | assets/157e9780cf8e39a8d9773a259b5bcc57f96a143514a52634eb7b09c48636e2a9.pdf | 157e9780cf8e39a8d9773a259b5bcc57f96a143514a52634eb7b09c48636e2a9 | arxiv:2608.17455 | formula | 6 | {"arxiv_id":"2608.17455","authors":"Noam Berkovich Lahav, Oren Wiezel and Yizhar Or","title":"Optimal control of a swimming robot based on Purcell's microswimmer model","url":"https://arxiv.org/abs/2608.17455v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[318.18,574.83,239.82,11.46],"bbox_pdf":[318.18,205.71,558.0,217.17],"fragments":[{"bbox_pdf":[318.18,205.71,558.0,217.17],"words":[4892,4893,4894,4895,4896,4897,4898,4899,4900,4901,4902,4903,4904,4905,4906]}],"html":null,"kind":"paragraph","latex":"H=\\lambda_{1}u_{1}+\\lambda_{2}u_{2}+\\lambda_{3}(gu... | CC-BY-4.0 | assets/157e9780cf8e39a8d9773a259b5bcc57f96a143514a52634eb7b09c48636e2a9.pdf | 157e9780cf8e39a8d9773a259b5bcc57f96a143514a52634eb7b09c48636e2a9 | arxiv:2608.17455 | formula | 6 | {"arxiv_id":"2608.17455","authors":"Noam Berkovich Lahav, Oren Wiezel and Yizhar Or","title":"Optimal control of a swimming robot based on Purcell's microswimmer model","url":"https://arxiv.org/abs/2608.17455v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[326.74,612.75,231.26,88.56],"bbox_pdf":[326.74,90.69,558.0,179.25],"fragments":[{"bbox_pdf":[326.74,90.69,558.0,179.25],"words":[4916,4924,4917,4918,4919,4920,4921,4922,4923,4925,4933,4926,4927,4928,4929,4930,4931,4932,4934,4935,4941,4936,4937,4938,4939,4940,4942,4946,4943,4944,4945]}],"html":null,"ki... | CC-BY-4.0 | assets/157e9780cf8e39a8d9773a259b5bcc57f96a143514a52634eb7b09c48636e2a9.pdf | 157e9780cf8e39a8d9773a259b5bcc57f96a143514a52634eb7b09c48636e2a9 | arxiv:2608.17455 | formula | 6 | {"arxiv_id":"2608.17455","authors":"Noam Berkovich Lahav, Oren Wiezel and Yizhar Or","title":"Optimal control of a swimming robot based on Purcell's microswimmer model","url":"https://arxiv.org/abs/2608.17455v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17455","authors":"Noam Berkovich Lahav, Oren Wiezel and Yizhar Or","title":"Optimal control of a swimming robot based on Purcell's microswimmer model","url":"https://arxiv.org/abs/2608.17455v2","version":2},"blocks":[{"... | CC-BY-4.0 | assets/8757d428ffcadfed0280b4da108989ef0dc2054a1b8fe3fb8c05f3e9c6c74f86.pdf | 8757d428ffcadfed0280b4da108989ef0dc2054a1b8fe3fb8c05f3e9c6c74f86 | arxiv:2608.17455 | page | 11 | {"arxiv_id":"2608.17455","authors":"Noam Berkovich Lahav, Oren Wiezel and Yizhar Or","title":"Optimal control of a swimming robot based on Purcell's microswimmer model","url":"https://arxiv.org/abs/2608.17455v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[63.1,84.52,235.7,11.46],"bbox_pdf":[63.1,696.02,298.8,707.48],"fragments":[{"bbox_pdf":[63.1,696.02,298.8,707.48],"words":[8218,8219,8220,8221,8222,8223,8224,8225,8226,8227,8228,8229,8230]}],"html":null,"kind":"paragraph","latex":"\\phi_{1}(t_{0})\\!=\\!\\phi_{2}(t_{0}),x(t_{0})\\!=\\!0,\\theta(t_{0})... | CC-BY-4.0 | assets/8757d428ffcadfed0280b4da108989ef0dc2054a1b8fe3fb8c05f3e9c6c74f86.pdf | 8757d428ffcadfed0280b4da108989ef0dc2054a1b8fe3fb8c05f3e9c6c74f86 | arxiv:2608.17455 | formula | 11 | {"arxiv_id":"2608.17455","authors":"Noam Berkovich Lahav, Oren Wiezel and Yizhar Or","title":"Optimal control of a swimming robot based on Purcell's microswimmer model","url":"https://arxiv.org/abs/2608.17455v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/135c8539cbd844e77f0458b928e549278f6d4b0cc6a1b3acc9e766886700080f.pdf | 135c8539cbd844e77f0458b928e549278f6d4b0cc6a1b3acc9e766886700080f | arxiv:2608.17531 | page | 2 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/96abc5a1fc090eac143d50fc0eb972e4bcf5fc7aa990bd61be46640b288a11df.pdf | 96abc5a1fc090eac143d50fc0eb972e4bcf5fc7aa990bd61be46640b288a11df | arxiv:2608.17531 | page | 3 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[224.11,150.77,162.04,30.04],"bbox_pdf":[224.11,611.2,386.15,641.23],"fragments":[{"bbox_pdf":[224.11,611.2,386.15,641.23],"words":[565,566,567,568,569,570,571,572,573,574,575,576,577]}],"html":null,"kind":"paragraph","latex":"\\displaystyle\\mathbb{P}(M_{i,j}=1)=\\frac{\\exp(\\theta_{i}-\\beta_{j})}{1... | CC-BY-4.0 | assets/96abc5a1fc090eac143d50fc0eb972e4bcf5fc7aa990bd61be46640b288a11df.pdf | 96abc5a1fc090eac143d50fc0eb972e4bcf5fc7aa990bd61be46640b288a11df | arxiv:2608.17531 | formula | 3 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/692006583de6106b9aeefb8a650546ec88971df668dfeee39900a54ff258bf30.pdf | 692006583de6106b9aeefb8a650546ec88971df668dfeee39900a54ff258bf30 | arxiv:2608.17531 | page | 4 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/c48f8f982df0725eb22cba577893bf71a8fa7bdfdb76f374b30de566540cf2cf.pdf | c48f8f982df0725eb22cba577893bf71a8fa7bdfdb76f374b30de566540cf2cf | arxiv:2608.17531 | page | 5 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/4bbfb9c2cf1f6f48ad0cc617d13c6baafe8feb42bd15bc1a7918181eead3ab0d.pdf | 4bbfb9c2cf1f6f48ad0cc617d13c6baafe8feb42bd15bc1a7918181eead3ab0d | arxiv:2608.17531 | page | 6 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/6c52d0c667e7928fbe14309944529c94836cd17f01edc87be348ac4dbd556235.pdf | 6c52d0c667e7928fbe14309944529c94836cd17f01edc87be348ac4dbd556235 | arxiv:2608.17531 | page | 7 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[222.83,285.48,164.59,40.95],"bbox_pdf":[222.83,465.57,387.42,506.52],"fragments":[{"bbox_pdf":[222.83,465.57,387.42,506.52],"words":[1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,1910]}],"html":null,"kind":"paragraph","latex":"\\displaystyle\\left(\\begin{array}[... | CC-BY-4.0 | assets/6c52d0c667e7928fbe14309944529c94836cd17f01edc87be348ac4dbd556235.pdf | 6c52d0c667e7928fbe14309944529c94836cd17f01edc87be348ac4dbd556235 | arxiv:2608.17531 | formula | 7 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/95e1e913d6b95652c340e71a25d525811a07cdb6cfe92c92da31c609c93776b9.pdf | 95e1e913d6b95652c340e71a25d525811a07cdb6cfe92c92da31c609c93776b9 | arxiv:2608.17531 | page | 8 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/1d281d9bdeef58ccd49d38d4a4aaa3bd6d5d3901fd3460c90e0842a67a347a2e.pdf | 1d281d9bdeef58ccd49d38d4a4aaa3bd6d5d3901fd3460c90e0842a67a347a2e | arxiv:2608.17531 | page | 11 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/b5f8d78287b293bcf58dbf5bc15554179084d56d03d1de237189f0b0a709f8a7.pdf | b5f8d78287b293bcf58dbf5bc15554179084d56d03d1de237189f0b0a709f8a7 | arxiv:2608.17531 | page | 12 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/6d9b96e32189df6355d0daca40af3fe18f71867651358041afa6c61b991dffd3.pdf | 6d9b96e32189df6355d0daca40af3fe18f71867651358041afa6c61b991dffd3 | arxiv:2608.17531 | page | 13 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/a6cc933d975e7c54991d3cd00086bf6d551f4fde69d5480a17c6677416b96d94.pdf | a6cc933d975e7c54991d3cd00086bf6d551f4fde69d5480a17c6677416b96d94 | arxiv:2608.17531 | page | 14 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/367adaca6e4e4a061f0a2b72cad616a0945e6ec8f9dee4adf2b56f42666a3207.pdf | 367adaca6e4e4a061f0a2b72cad616a0945e6ec8f9dee4adf2b56f42666a3207 | arxiv:2608.17531 | page | 15 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[81.3,689.36,435.82,14.7],"bbox_pdf":[81.3,87.94,517.12,102.64],"fragments":[{"bbox_pdf":[81.3,87.94,517.12,102.64],"words":[4230,4231,4232,4233,4234,4236,4237,4238,4239,4240,4241,4243,4244,4245,4246,4247,4248,4249,4250,4251,4252,4253,4254,4255,4256,4257,4258,4259,4260,4261,4263]}],"html":null,"kind":"... | CC-BY-4.0 | assets/367adaca6e4e4a061f0a2b72cad616a0945e6ec8f9dee4adf2b56f42666a3207.pdf | 367adaca6e4e4a061f0a2b72cad616a0945e6ec8f9dee4adf2b56f42666a3207 | arxiv:2608.17531 | formula | 15 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/8ffeeeda5754b4495150a1d4e2481750b137204f4b7ee9f7953f494273265602.pdf | 8ffeeeda5754b4495150a1d4e2481750b137204f4b7ee9f7953f494273265602 | arxiv:2608.17531 | page | 16 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/a162a5a212bd44c645cd79ebf63ddb93fd3027fddaaca2105ae7e21b109670b0.pdf | a162a5a212bd44c645cd79ebf63ddb93fd3027fddaaca2105ae7e21b109670b0 | arxiv:2608.17531 | page | 17 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/e44a867b41a0f6fd82099ea8adc9e51a7ab6ce345e3b29eda2fe142b860c6419.pdf | e44a867b41a0f6fd82099ea8adc9e51a7ab6ce345e3b29eda2fe142b860c6419 | arxiv:2608.17531 | page | 18 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/a42094f39e6dce3cd0faa95b17f666df21a2ad31259aed74ec7bd534beba2603.pdf | a42094f39e6dce3cd0faa95b17f666df21a2ad31259aed74ec7bd534beba2603 | arxiv:2608.17531 | page | 20 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[213.83,649.02,182.59,38.02],"bbox_pdf":[213.83,104.96,396.42,142.98],"fragments":[{"bbox_pdf":[213.83,104.96,396.42,142.98],"words":[5694,5695,5696,5697,5698,5699,5700,5701,5702,5703,5704,5705,5706,5707,5708,5709]}],"html":null,"kind":"paragraph","latex":"\\mathbb{E}(L)\\geq\\frac{1}{64}\\sqrt{\\max\\... | CC-BY-4.0 | assets/a42094f39e6dce3cd0faa95b17f666df21a2ad31259aed74ec7bd534beba2603.pdf | a42094f39e6dce3cd0faa95b17f666df21a2ad31259aed74ec7bd534beba2603 | arxiv:2608.17531 | formula | 20 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/11841bbed50d424a509e9c071a0c6e605b79e0da64cf3d1f8492442404c11f4f.pdf | 11841bbed50d424a509e9c071a0c6e605b79e0da64cf3d1f8492442404c11f4f | arxiv:2608.17531 | page | 22 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[221.64,441.41,166.98,13.75],"bbox_pdf":[221.64,336.84,388.62,350.59],"fragments":[{"bbox_pdf":[221.64,336.84,388.62,350.59],"words":[6191,6192,6193,6194,6195,6196,6197]}],"html":null,"kind":"paragraph","latex":"\\mathbf{r}_{\\mathsf{max}}\\leq\\delta n\\qquad\\text{or}\\qquad\\mathbf{c}_{\\mathsf{%\nm... | CC-BY-4.0 | assets/11841bbed50d424a509e9c071a0c6e605b79e0da64cf3d1f8492442404c11f4f.pdf | 11841bbed50d424a509e9c071a0c6e605b79e0da64cf3d1f8492442404c11f4f | arxiv:2608.17531 | formula | 22 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[232.61,532.17,146.23,29.72],"bbox_pdf":[232.61,230.11,378.84,259.83],"fragments":[{"bbox_pdf":[232.61,230.11,378.84,259.83],"words":[6206,6207,6208,6209,6210,6211,6212,6213,6214,6215,6216,6217]}],"html":null,"kind":"paragraph","latex":"\\frac{\\mathbb{E}(C)}{\\mathbb{E}(L)}={\\mathcal{O}}_{\\delta,\\D... | CC-BY-4.0 | assets/11841bbed50d424a509e9c071a0c6e605b79e0da64cf3d1f8492442404c11f4f.pdf | 11841bbed50d424a509e9c071a0c6e605b79e0da64cf3d1f8492442404c11f4f | arxiv:2608.17531 | formula | 22 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/d2a91fade59719d655b6e251eb455a6fd8d454e40d435676ebdb66f142930aee.pdf | d2a91fade59719d655b6e251eb455a6fd8d454e40d435676ebdb66f142930aee | arxiv:2608.17531 | page | 23 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[142.75,291.01,328.98,23.02],"bbox_pdf":[142.75,477.97,471.73,500.99],"fragments":[{"bbox_pdf":[142.75,477.97,471.73,500.99],"words":[6369,6370,6371,6372,6373,6374,6375,6376,6377,6378,6379,6380,6381,6382,6383,6384,6385,6386,6387,6388,6389,6390,6391,6392]}],"html":null,"kind":"paragraph","latex":"t_{\\t... | CC-BY-4.0 | assets/d2a91fade59719d655b6e251eb455a6fd8d454e40d435676ebdb66f142930aee.pdf | d2a91fade59719d655b6e251eb455a6fd8d454e40d435676ebdb66f142930aee | arxiv:2608.17531 | formula | 23 | {"arxiv_id":"2608.17531","authors":"Zipei Nie, Guanyang Wang, Peng Zhang","title":"The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins","url":"https://arxiv.org/abs/2608.17531v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
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