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Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.22462","authors":"Hossein Javidnia","title":"Functional compatibility as a determinant of persistent neural learning","url":"https://arxiv.org/abs/2608.22462v3","version":3},"blocks":[{"bbox":[71.64,80.07,468.36,34.07],... | CC-BY-4.0 | assets/2ea8ac6a60da5a217d92226d753f54d28235fb1315d6e8fdb0655bd324188136.pdf | 2ea8ac6a60da5a217d92226d753f54d28235fb1315d6e8fdb0655bd324188136 | arxiv:2608.22462 | page | 75 | {"arxiv_id":"2608.22462","authors":"Hossein Javidnia","title":"Functional compatibility as a determinant of persistent neural learning","url":"https://arxiv.org/abs/2608.22462v3","version":3} | 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":"2608.22462","authors":"Hossein Javidnia","title":"Functional compatibility as a determinant of persistent neural learning","url":"https://arxiv.org/abs/2608.22462v3","version":3},"blocks":[{"bbox":[72.0,80.47,468.27,33.67],"... | CC-BY-4.0 | assets/e9a29e847901054e7338d644868d9a389dd2df2bf90a29119b9544cf6598796b.pdf | e9a29e847901054e7338d644868d9a389dd2df2bf90a29119b9544cf6598796b | arxiv:2608.22462 | page | 76 | {"arxiv_id":"2608.22462","authors":"Hossein Javidnia","title":"Functional compatibility as a determinant of persistent neural learning","url":"https://arxiv.org/abs/2608.22462v3","version":3} | 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":"2608.22462","authors":"Hossein Javidnia","title":"Functional compatibility as a determinant of persistent neural learning","url":"https://arxiv.org/abs/2608.22462v3","version":3},"blocks":[{"bbox":[71.64,80.07,468.63,46.03],... | CC-BY-4.0 | assets/ce0600440451f5c6ed36fd48862938d7e664f1f545cd0ed84d1ed69589785527.pdf | ce0600440451f5c6ed36fd48862938d7e664f1f545cd0ed84d1ed69589785527 | arxiv:2608.22462 | page | 78 | {"arxiv_id":"2608.22462","authors":"Hossein Javidnia","title":"Functional compatibility as a determinant of persistent neural learning","url":"https://arxiv.org/abs/2608.22462v3","version":3} | 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":"2608.22462","authors":"Hossein Javidnia","title":"Functional compatibility as a determinant of persistent neural learning","url":"https://arxiv.org/abs/2608.22462v3","version":3},"blocks":[{"bbox":[71.64,80.07,468.36,22.12],... | CC-BY-4.0 | assets/d17300590f22fea0f564df7a6f5f958213f9f98fe9dd016609b29401d1d6592b.pdf | d17300590f22fea0f564df7a6f5f958213f9f98fe9dd016609b29401d1d6592b | arxiv:2608.22462 | page | 81 | {"arxiv_id":"2608.22462","authors":"Hossein Javidnia","title":"Functional compatibility as a determinant of persistent neural learning","url":"https://arxiv.org/abs/2608.22462v3","version":3} | 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":"2608.22462","authors":"Hossein Javidnia","title":"Functional compatibility as a determinant of persistent neural learning","url":"https://arxiv.org/abs/2608.22462v3","version":3},"blocks":[{"bbox":[71.64,80.19,468.36,33.95],... | CC-BY-4.0 | assets/2f266d6d2972401b285b33abe7a65d06481aef633199853abedf5f0395ff01b3.pdf | 2f266d6d2972401b285b33abe7a65d06481aef633199853abedf5f0395ff01b3 | arxiv:2608.22462 | page | 83 | {"arxiv_id":"2608.22462","authors":"Hossein Javidnia","title":"Functional compatibility as a determinant of persistent neural learning","url":"https://arxiv.org/abs/2608.22462v3","version":3} | 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":"2608.22462","authors":"Hossein Javidnia","title":"Functional compatibility as a determinant of persistent neural learning","url":"https://arxiv.org/abs/2608.22462v3","version":3},"blocks":[{"bbox":[71.64,81.84,469.75,81.71],... | CC-BY-4.0 | assets/127c3957ce4339bb61169dc2ccb88e46b5d9c13dc4f69b2f3229a832444f5561.pdf | 127c3957ce4339bb61169dc2ccb88e46b5d9c13dc4f69b2f3229a832444f5561 | arxiv:2608.22462 | page | 88 | {"arxiv_id":"2608.22462","authors":"Hossein Javidnia","title":"Functional compatibility as a determinant of persistent neural learning","url":"https://arxiv.org/abs/2608.22462v3","version":3} | 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":"2608.22464","authors":"Marie-Therese Huebsch, Martijn Marsman, Jacques K. Desmarais, Stefano Pittalis, Fabien Tran","title":"A test drive for exchange-correlation functionals on noncollinear magnets: Mn$_3$Ir, Mn$_3$Ge, NiS$... | CC-BY-4.0 | assets/f38edb0b6c4fa1e54861519ffb987cdb8a19b8cf88ccd611cb8b6eaf7c193cca.pdf | f38edb0b6c4fa1e54861519ffb987cdb8a19b8cf88ccd611cb8b6eaf7c193cca | arxiv:2608.22464 | page | 10 | {"arxiv_id":"2608.22464","authors":"Marie-Therese Huebsch, Martijn Marsman, Jacques K. Desmarais, Stefano Pittalis, Fabien Tran","title":"A test drive for exchange-correlation functionals on noncollinear magnets: Mn$_3$Ir, Mn$_3$Ge, NiS$_2$, and YMnO$_3$","url":"https://arxiv.org/abs/2608.22464v1","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":"2608.22512","authors":"Christos Sardianos, Iliana Pla, Vasilis Efthymiou, Iraklis Varlamis, Thomas Lagkas, Panagiotis Sarigiannidis, Georgios Th. Papadopoulos","title":"HANSARD: A Reference Architecture for Forensic Readines... | CC-BY-4.0 | assets/03e99cdd6067769d54981935831b1c0c25f6cf40fdb5eee2584d4debadff8631.pdf | 03e99cdd6067769d54981935831b1c0c25f6cf40fdb5eee2584d4debadff8631 | arxiv:2608.22512 | page | 2 | {"arxiv_id":"2608.22512","authors":"Christos Sardianos, Iliana Pla, Vasilis Efthymiou, Iraklis Varlamis, Thomas Lagkas, Panagiotis Sarigiannidis, Georgios Th. Papadopoulos","title":"HANSARD: A Reference Architecture for Forensic Readiness, Runtime Witnessing, and Graded Attribution in Autonomous Multi-Agent AI Systems"... | 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":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1},"blocks":[{"bbo... | CC-BY-4.0 | assets/4bb17ac8531a026dc7c79f83659db94a00135109d8d21f0452e8c7f9e2b9f058.pdf | 4bb17ac8531a026dc7c79f83659db94a00135109d8d21f0452e8c7f9e2b9f058 | arxiv:2608.22534 | page | 3 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[170.89,174.83,368.83,32.6],"bbox_pdf":[170.89,584.57,539.71,617.17],"fragments":[{"bbox_pdf":[170.89,584.57,539.71,617.17],"words":[1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213]}],"html":null,"kind":"paragraph","latex":"\\displaystyle h(... | CC-BY-4.0 | assets/4bb17ac8531a026dc7c79f83659db94a00135109d8d21f0452e8c7f9e2b9f058.pdf | 4bb17ac8531a026dc7c79f83659db94a00135109d8d21f0452e8c7f9e2b9f058 | arxiv:2608.22534 | formula | 3 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[231.06,282.66,308.67,23.54],"bbox_pdf":[231.06,485.8,539.72,509.34],"fragments":[{"bbox_pdf":[231.06,485.8,539.72,509.34],"words":[1316,1317,1318,1319,1320,1322,1323,1324,1325,1327,1328,1329]}],"html":null,"kind":"paragraph","latex":"\\displaystyle h(X+Y)\\geq\\frac{1}{2}h(X)+\\frac{1}{2}h(Y),","level... | CC-BY-4.0 | assets/4bb17ac8531a026dc7c79f83659db94a00135109d8d21f0452e8c7f9e2b9f058.pdf | 4bb17ac8531a026dc7c79f83659db94a00135109d8d21f0452e8c7f9e2b9f058 | arxiv:2608.22534 | formula | 3 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[226.39,327.59,313.33,18.03],"bbox_pdf":[226.39,446.38,539.72,464.41],"fragments":[{"bbox_pdf":[226.39,446.38,539.72,464.41],"words":[1336,1337,1338,1339,1340,1342,1343,1344,1346,1347]}],"html":null,"kind":"paragraph","latex":"\\displaystyle h(X+Y)\\geq\\max\\big{\\{}h(X),h(Y)\\big{\\}},","level":null,... | CC-BY-4.0 | assets/4bb17ac8531a026dc7c79f83659db94a00135109d8d21f0452e8c7f9e2b9f058.pdf | 4bb17ac8531a026dc7c79f83659db94a00135109d8d21f0452e8c7f9e2b9f058 | arxiv:2608.22534 | formula | 3 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[232.44,611.49,146.84,23.54],"bbox_pdf":[232.44,156.97,379.28,180.51],"fragments":[{"bbox_pdf":[232.44,156.97,379.28,180.51],"words":[1692,1693,1694,1695,1696,1698,1699,1700,1701,1703,1704,1705,1706]}],"html":null,"kind":"paragraph","latex":"h(X+Y)-\\frac{1}{2}h(X)-\\frac{1}{2}h(Y)\\geq 0.","level":nul... | CC-BY-4.0 | assets/4bb17ac8531a026dc7c79f83659db94a00135109d8d21f0452e8c7f9e2b9f058.pdf | 4bb17ac8531a026dc7c79f83659db94a00135109d8d21f0452e8c7f9e2b9f058 | arxiv:2608.22534 | formula | 3 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","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":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1},"blocks":[{"bbo... | CC-BY-4.0 | assets/0f1312866ca0d2e34563100019785a7064fecdb615f104ee3612870acb6af61b.pdf | 0f1312866ca0d2e34563100019785a7064fecdb615f104ee3612870acb6af61b | arxiv:2608.22534 | page | 4 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[224.29,112.18,154.28,23.54],"bbox_pdf":[224.29,656.29,378.57,679.82],"fragments":[{"bbox_pdf":[224.29,656.29,378.57,679.82],"words":[1821,1822,1823,1824,1825,1826,1827,1829,1830,1831,1832,1834,1835]}],"html":null,"kind":"paragraph","latex":"\\delta_{\\mathrm{EPI}}:=h(X+Y)-\\frac{1}{2}h(X)-\\frac{1}{2}... | CC-BY-4.0 | assets/0f1312866ca0d2e34563100019785a7064fecdb615f104ee3612870acb6af61b.pdf | 0f1312866ca0d2e34563100019785a7064fecdb615f104ee3612870acb6af61b | arxiv:2608.22534 | formula | 4 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[191.9,163.38,347.81,29.35],"bbox_pdf":[191.9,599.27,539.71,628.62],"fragments":[{"bbox_pdf":[191.9,599.27,539.71,628.62],"words":[1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875]}],"html":null,"kind":"paragraph","latex":"\\max\\big{\\{}D(X\\|U_{G}),D(Y\\|U_{G})\\bi... | CC-BY-4.0 | assets/0f1312866ca0d2e34563100019785a7064fecdb615f104ee3612870acb6af61b.pdf | 0f1312866ca0d2e34563100019785a7064fecdb615f104ee3612870acb6af61b | arxiv:2608.22534 | formula | 4 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[114.73,220.94,382.25,29.35],"bbox_pdf":[114.73,541.71,496.98,571.06],"fragments":[{"bbox_pdf":[114.73,541.71,496.98,571.06],"words":[1899,1900,1901,1902,1903,1904,1905,1906,1907,1909,1910,1911,1913,1914,1915,1916,1917,1918,1919,1920,1921]}],"html":null,"kind":"paragraph","latex":"\\log\\mu(\\{0\\})\\l... | CC-BY-4.0 | assets/0f1312866ca0d2e34563100019785a7064fecdb615f104ee3612870acb6af61b.pdf | 0f1312866ca0d2e34563100019785a7064fecdb615f104ee3612870acb6af61b | arxiv:2608.22534 | formula | 4 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[236.35,461.78,139.01,18.03],"bbox_pdf":[236.35,312.19,375.37,330.22],"fragments":[{"bbox_pdf":[236.35,312.19,375.37,330.22],"words":[2226,2227,2228,2229,2230,2232,2233,2234,2236]}],"html":null,"kind":"paragraph","latex":"h(X+Y)\\geq\\max\\big{\\{}h(X),h(Y)\\big{\\}}.","level":null,"list_depth":null,"m... | CC-BY-4.0 | assets/0f1312866ca0d2e34563100019785a7064fecdb615f104ee3612870acb6af61b.pdf | 0f1312866ca0d2e34563100019785a7064fecdb615f104ee3612870acb6af61b | arxiv:2608.22534 | formula | 4 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[217.84,654.08,176.04,30.84],"bbox_pdf":[217.84,107.08,393.88,137.92],"fragments":[{"bbox_pdf":[217.84,107.08,393.88,137.92],"words":[2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458]}],"html":null,"kind":"paragraph","latex":"s:=e^{6h(X)-2}\\quad\\text{and}\\quad\\eta_{s}:=\\left(\\frac{\\si... | CC-BY-4.0 | assets/0f1312866ca0d2e34563100019785a7064fecdb615f104ee3612870acb6af61b.pdf | 0f1312866ca0d2e34563100019785a7064fecdb615f104ee3612870acb6af61b | arxiv:2608.22534 | formula | 4 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[196.11,696.65,219.49,32.3],"bbox_pdf":[196.11,63.05,415.6,95.35],"fragments":[{"bbox_pdf":[196.11,63.05,415.6,95.35],"words":[2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,2471,2472,2474,2475,2476,2477,2478,2479,2480,2481,2482,2483]}],"html":null,"kind":"paragraph","latex":"h(X+Y)-h(Y)\\geq\\min{\... | CC-BY-4.0 | assets/0f1312866ca0d2e34563100019785a7064fecdb615f104ee3612870acb6af61b.pdf | 0f1312866ca0d2e34563100019785a7064fecdb615f104ee3612870acb6af61b | arxiv:2608.22534 | formula | 4 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","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":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1},"blocks":[{"bbo... | CC-BY-4.0 | assets/fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0.pdf | fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0 | arxiv:2608.22534 | page | 6 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[244.32,107.87,123.07,15.94],"bbox_pdf":[244.32,668.19,367.4,684.13],"fragments":[{"bbox_pdf":[244.32,668.19,367.4,684.13],"words":[3214,3215,3216,3217,3218,3219]}],"html":null,"kind":"paragraph","latex":"\\mathop{\\rm lim\\ inf}_{n\\to\\infty}D(\\mu_{n}\\|\\nu_{n})\\geq D(\\mu\\|\\nu).","level":null,"... | CC-BY-4.0 | assets/fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0.pdf | fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0 | arxiv:2608.22534 | formula | 6 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[255.46,176.33,100.79,16.12],"bbox_pdf":[255.46,599.55,356.25,615.67],"fragments":[{"bbox_pdf":[255.46,599.55,356.25,615.67],"words":[3268,3269,3270,3271,3272,3273,3274]}],"html":null,"kind":"paragraph","latex":"\\lim_{\\epsilon\\to 0}h(X+U_{\\epsilon})=h(X).","level":null,"list_depth":null,"match":{"s... | CC-BY-4.0 | assets/fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0.pdf | fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0 | arxiv:2608.22534 | formula | 6 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[227.91,213.19,155.89,11.46],"bbox_pdf":[227.91,567.35,383.8,578.81],"fragments":[{"bbox_pdf":[227.91,567.35,383.8,578.81],"words":[3279,3280,3281,3282,3283,3284,3285,3286,3287]}],"html":null,"kind":"paragraph","latex":"h(X+U_{\\epsilon})\\geq h(X+U_{\\epsilon}|U_{\\epsilon})=h(X).","level":null,"list_... | CC-BY-4.0 | assets/fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0.pdf | fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0 | arxiv:2608.22534 | formula | 6 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[260.8,252.85,90.12,11.46],"bbox_pdf":[260.8,527.69,350.92,539.15],"fragments":[{"bbox_pdf":[260.8,527.69,350.92,539.15],"words":[3296,3297,3298]}],"html":null,"kind":"paragraph","latex":"h(X)=-D(X\\|U_{G}).","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"order":7,"role":"fo... | CC-BY-4.0 | assets/fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0.pdf | fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0 | arxiv:2608.22534 | formula | 6 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[154.48,308.39,302.77,18.05],"bbox_pdf":[154.48,465.55,457.24,483.61],"fragments":[{"bbox_pdf":[154.48,465.55,457.24,483.61],"words":[3321,3322,3323,3324,3325,3326,3327,3328,3329,3330,3331,3332,3333,3334,3335,3336,3337,3342]}],"html":null,"kind":"paragraph","latex":"\\mathop{\\rm lim\\ sup}_{\\epsilon\... | CC-BY-4.0 | assets/fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0.pdf | fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0 | arxiv:2608.22534 | formula | 6 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[212.07,416.23,178.72,23.54],"bbox_pdf":[212.07,352.23,390.79,375.77],"fragments":[{"bbox_pdf":[212.07,352.23,390.79,375.77],"words":[3413,3414,3415,3416,3417,3418,3420,3421,3422,3423,3425,3426,3427,3428,3430,3431]}],"html":null,"kind":"paragraph","latex":"d_{\\mathrm{R}}(X,Y)=h(X^{\\prime}-Y^{\\prime}... | CC-BY-4.0 | assets/fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0.pdf | fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0 | arxiv:2608.22534 | formula | 6 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[205.13,473.41,195.38,23.54],"bbox_pdf":[205.13,295.06,400.5,318.59],"fragments":[{"bbox_pdf":[205.13,295.06,400.5,318.59],"words":[3456,3457,3458,3459,3460,3461,3462,3464,3465,3466,3467,3468,3470,3471,3472,3473,3475,3476]}],"html":null,"kind":"paragraph","latex":"d^{*}_{\\mathrm{R}}(X,Y)=\\sup h(X^{\\... | CC-BY-4.0 | assets/fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0.pdf | fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0 | arxiv:2608.22534 | formula | 6 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[206.65,601.5,198.41,13.55],"bbox_pdf":[206.65,176.95,405.07,190.5],"fragments":[{"bbox_pdf":[206.65,176.95,405.07,190.5],"words":[3565,3566,3567,3568,3569,3570,3571,3572,3573,3574,3576,3577,3578]}],"html":null,"kind":"paragraph","latex":"d_{\\mathrm{R}}(X,Z)\\leq d^{*}_{\\mathrm{R}}(X,Z)\\leq d_{\\mat... | CC-BY-4.0 | assets/fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0.pdf | fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0 | arxiv:2608.22534 | formula | 6 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[211.87,672.24,327.85,9.96],"bbox_pdf":[211.87,109.8,539.72,119.76],"fragments":[{"bbox_pdf":[211.87,109.8,539.72,119.76],"words":[3631,3632,3633,3634,3635,3636,3637,3639,3640,3641,3642,3643,3644,3646]}],"html":null,"kind":"paragraph","latex":"h(X-Z)\\leq h(X-Y)+h(Y-Z)-h(Y).","level":null,"list_depth":... | CC-BY-4.0 | assets/fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0.pdf | fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0 | arxiv:2608.22534 | formula | 6 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[223.39,714.01,316.32,9.96],"bbox_pdf":[223.39,68.03,539.71,77.99],"fragments":[{"bbox_pdf":[223.39,68.03,539.71,77.99],"words":[3668,3669,3670,3671,3672,3673,3674,3675,3676,3677,3678,3679,3680]}],"html":null,"kind":"paragraph","latex":"I(X;(X-Y,Y-Z))\\geq I(X;X-Z).","level":null,"list_depth":null,"mat... | CC-BY-4.0 | assets/fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0.pdf | fb89f314a4f6cdd61dd5e14692409a7a4a4fe4bae1a1cbc567f33f5c9a18ffc0 | arxiv:2608.22534 | formula | 6 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","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":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1},"blocks":[{"bbo... | CC-BY-4.0 | assets/47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636.pdf | 47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636 | arxiv:2608.22534 | page | 7 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[147.89,104.67,391.82,9.96],"bbox_pdf":[147.89,677.37,539.72,687.33],"fragments":[{"bbox_pdf":[147.89,677.37,539.72,687.33],"words":[3704,3705,3706,3707,3708,3709,3710,3711,3712,3713,3714,3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3725,3726,3727,3728]}],"html":null,"kind":"paragraph","latex":"I(... | CC-BY-4.0 | assets/47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636.pdf | 47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636 | arxiv:2608.22534 | formula | 7 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[226.69,146.1,313.03,9.96],"bbox_pdf":[226.69,635.94,539.72,645.9],"fragments":[{"bbox_pdf":[226.69,635.94,539.72,645.9],"words":[3734,3735,3736,3737,3738,3739,3740,3741,3742,3743,3744]}],"html":null,"kind":"paragraph","latex":"I(X;X-Z)=h(X-Z)-h(Z|X).","level":null,"list_depth":null,"match":{"src_place... | CC-BY-4.0 | assets/47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636.pdf | 47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636 | arxiv:2608.22534 | formula | 7 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[169.02,187.52,264.82,39.85],"bbox_pdf":[169.02,564.63,433.84,604.48],"fragments":[{"bbox_pdf":[169.02,564.63,433.84,604.48],"words":[3762,3763,3764,3765,3766,3767,3768,3769,3770,3771,3773,3774,3775,3776,3777,3778,3779,3781,3782,3783,3784,3785,3786,3788,3789,3790,3791,3792,3793,3794,3795,3796]}],"html"... | CC-BY-4.0 | assets/47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636.pdf | 47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636 | arxiv:2608.22534 | formula | 7 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[222.38,250.08,158.11,9.96],"bbox_pdf":[222.38,531.96,380.49,541.92],"fragments":[{"bbox_pdf":[222.38,531.96,380.49,541.92],"words":[3800,3801,3802,3803,3804,3805,3807,3808,3809,3810]}],"html":null,"kind":"paragraph","latex":"h(Y-Z|X,X-Y)=h(Y-Z|X,Y).","level":null,"list_depth":null,"match":{"src_placed... | CC-BY-4.0 | assets/47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636.pdf | 47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636 | arxiv:2608.22534 | formula | 7 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[162.46,288.0,280.7,69.74],"bbox_pdf":[162.46,434.26,443.16,504.0],"fragments":[{"bbox_pdf":[162.46,434.26,443.16,504.0],"words":[3813,3814,3815,3816,3817,3818,3819,3820,3821,3822,3823,3824,3825,3826,3827,3828,3829,3830,3831,3832,3833,3835,3836,3837,3838,3840,3841,3842,3843,3844,3846,3847,3848,3850,385... | CC-BY-4.0 | assets/47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636.pdf | 47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636 | arxiv:2608.22534 | formula | 7 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[160.43,401.16,290.85,9.96],"bbox_pdf":[160.43,380.88,451.28,390.84],"fragments":[{"bbox_pdf":[160.43,380.88,451.28,390.84],"words":[3890,3891,3892,3893,3894,3895,3896,3897,3898,3899,3900,3901,3902,3904,3905,3906,3907,3908,3909]}],"html":null,"kind":"paragraph","latex":"h(X)+h(X-Y,Y-Z)-h(X,Z)-h(Y)\\geq... | CC-BY-4.0 | assets/47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636.pdf | 47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636 | arxiv:2608.22534 | formula | 7 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[191.82,550.73,347.9,9.96],"bbox_pdf":[191.82,231.31,539.72,241.27],"fragments":[{"bbox_pdf":[191.82,231.31,539.72,241.27],"words":[4090,4091,4092,4093,4094,4095,4096,4098,4099,4100,4101,4103,4104,4105,4106,4107]}],"html":null,"kind":"paragraph","latex":"\\displaystyle h(X+Y+Z)+h(Y)\\leq h(X+Y)+h(Y+Z).... | CC-BY-4.0 | assets/47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636.pdf | 47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636 | arxiv:2608.22534 | formula | 7 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[232.4,616.07,146.91,9.96],"bbox_pdf":[232.4,165.97,379.32,175.93],"fragments":[{"bbox_pdf":[232.4,165.97,379.32,175.93],"words":[4151,4152,4153,4154,4155,4156,4157,4158,4159,4160,4162]}],"html":null,"kind":"paragraph","latex":"I(X+Y+Z;X)\\leq I(X+Y;X),","level":null,"list_depth":null,"match":{"src_pla... | CC-BY-4.0 | assets/47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636.pdf | 47cb70966079402f17c74139c3950df537eb5993ff994686e4cac9b726223636 | arxiv:2608.22534 | formula | 7 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","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":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1},"blocks":[{"bbo... | CC-BY-4.0 | assets/3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f.pdf | 3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f | arxiv:2608.22534 | page | 8 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[137.03,104.26,337.65,9.96],"bbox_pdf":[137.03,677.77,474.69,687.74],"fragments":[{"bbox_pdf":[137.03,677.77,474.69,687.74],"words":[4314,4315,4316,4317,4318,4319,4320,4321,4322,4323,4324,4325,4326,4327,4328,4329,4330,4331]}],"html":null,"kind":"paragraph","latex":"A+B+H=A+B\\quad\\text{and}\\quad\\mu(... | CC-BY-4.0 | assets/3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f.pdf | 3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f | arxiv:2608.22534 | formula | 8 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[231.99,136.53,147.73,9.96],"bbox_pdf":[231.99,645.51,379.73,655.47],"fragments":[{"bbox_pdf":[231.99,645.51,379.73,655.47],"words":[4333,4334,4335,4336,4337,4338,4339,4340,4341]}],"html":null,"kind":"paragraph","latex":"\\mu(A+B)\\geq\\mu(A)+\\mu(B)-\\mu(H).","level":null,"list_depth":null,"match":{"s... | CC-BY-4.0 | assets/3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f.pdf | 3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f | arxiv:2608.22534 | formula | 8 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[247.21,164.32,117.3,11.09],"bbox_pdf":[247.21,616.59,364.51,627.68],"fragments":[{"bbox_pdf":[247.21,616.59,364.51,627.68],"words":[4343,4344,4345,4346,4347,4348,4349,4350,4351]}],"html":null,"kind":"paragraph","latex":"\\mu^{*}(A+B)\\geq\\mu(A)+\\mu(B),","level":null,"list_depth":null,"match":{"src_p... | CC-BY-4.0 | assets/3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f.pdf | 3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f | arxiv:2608.22534 | formula | 8 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[220.49,332.41,170.74,11.46],"bbox_pdf":[220.49,448.13,391.23,459.59],"fragments":[{"bbox_pdf":[220.49,448.13,391.23,459.59],"words":[4497,4498,4499,4500,4502,4503,4504,4506,4507]}],"html":null,"kind":"paragraph","latex":"d_{\\mathrm{R}}(X,X),d_{\\mathrm{R}}(Y,Y)\\leq 2d_{\\mathrm{R}}(X,-Y)=0.","level"... | CC-BY-4.0 | assets/3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f.pdf | 3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f | arxiv:2608.22534 | formula | 8 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[205.48,603.25,334.24,11.46],"bbox_pdf":[205.48,177.29,539.72,188.75],"fragments":[{"bbox_pdf":[205.48,177.29,539.72,188.75],"words":[4865,4866,4868,4869,4870,4871,4872,4874,4875,4876,4877,4878]}],"html":null,"kind":"paragraph","latex":"d_{\\mathrm{R}}(U_{S},Y)\\leq(C+2)d_{\\mathrm{R}}(X,Y)+H_{2}(1-2/C... | CC-BY-4.0 | assets/3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f.pdf | 3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f | arxiv:2608.22534 | formula | 8 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[194.5,632.03,345.22,23.54],"bbox_pdf":[194.5,136.44,539.72,159.97],"fragments":[{"bbox_pdf":[194.5,136.44,539.72,159.97],"words":[4880,4881,4882,4883,4884,4885,4886,4887,4888,4890,4891,4892,4893,4894,4895]}],"html":null,"kind":"paragraph","latex":"\\log\\frac{\\mu(S-S)}{\\mu(S)}\\leq(2C+4)d_{\\mathrm{... | CC-BY-4.0 | assets/3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f.pdf | 3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f | arxiv:2608.22534 | formula | 8 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[171.15,705.41,269.42,23.54],"bbox_pdf":[171.15,63.05,440.57,86.59],"fragments":[{"bbox_pdf":[171.15,63.05,440.57,86.59],"words":[4936,4937,4938,4939,4940,4941,4942,4944,4945,4946,4947,4949,4950,4951,4952,4953,4954,4956,4957,4959,4960,4961,4962,4963,4964]}],"html":null,"kind":"paragraph","latex":"h(X-Y... | CC-BY-4.0 | assets/3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f.pdf | 3c1d6eedc3b5bb8d16da96a207a7951904f6bc31480fa1771cd7700b6f333f7f | arxiv:2608.22534 | formula | 8 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","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":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1},"blocks":[{"bbo... | CC-BY-4.0 | assets/ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee.pdf | ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee | arxiv:2608.22534 | page | 17 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[202.31,129.77,337.41,32.6],"bbox_pdf":[202.31,629.62,539.72,662.23],"fragments":[{"bbox_pdf":[202.31,629.62,539.72,662.23],"words":[8902,8903,8904,8905,8906,8907,8908,8909,8910,8911,8912,8913,8914,8915,8916,8917,8918,8919,8920,8921]}],"html":null,"kind":"paragraph","latex":"\\int_{G}(f_{Y}\\ast g_{S}(... | CC-BY-4.0 | assets/ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee.pdf | ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee | arxiv:2608.22534 | formula | 17 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[257.65,170.1,96.41,30.84],"bbox_pdf":[257.65,591.05,354.06,621.9],"fragments":[{"bbox_pdf":[257.65,591.05,354.06,621.9],"words":[8923,8924,8925,8926,8927,8928,8929]}],"html":null,"kind":"paragraph","latex":"\\eta_{S}=\\left(\\frac{\\sin(\\pi\\mu(S))}{\\pi\\mu(S)}\\right)^{2}.","level":null,"list_depth... | CC-BY-4.0 | assets/ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee.pdf | ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee | arxiv:2608.22534 | formula | 17 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[175.5,216.77,364.22,12.58],"bbox_pdf":[175.5,562.65,539.71,575.23],"fragments":[{"bbox_pdf":[175.5,562.65,539.71,575.23],"words":[8931,8932,8933,8934,8935,8936,8937,8938,8939,8940,8941,8942,8943,8944,8945,8946,8947,8948,8949,8950,8951,8952,8953,8954,8955,8966]}],"html":null,"kind":"paragraph","latex":... | CC-BY-4.0 | assets/ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee.pdf | ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee | arxiv:2608.22534 | formula | 17 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[208.39,258.63,194.94,31.59],"bbox_pdf":[208.39,501.78,403.33,533.37],"fragments":[{"bbox_pdf":[208.39,501.78,403.33,533.37],"words":[8976,8977,8978,8979,8980,8981,8982,8983,8984,8985,8986,8987,8988,8989,8990,8991,8992,8993,8994,8995,8996,8997,8998,8999,9000]}],"html":null,"kind":"paragraph","latex":"\... | CC-BY-4.0 | assets/ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee.pdf | ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee | arxiv:2608.22534 | formula | 17 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[221.74,321.2,168.23,11.46],"bbox_pdf":[221.74,459.34,389.98,470.8],"fragments":[{"bbox_pdf":[221.74,459.34,389.98,470.8],"words":[9020,9021,9022,9023,9024,9025,9026,9027,9028,9029,9030,9031,9032,9033,9034]}],"html":null,"kind":"paragraph","latex":"(f_{Y}*g_{S})-1=(f_{Y}-1)*g_{S}=h*g_{S}.","level":null... | CC-BY-4.0 | assets/ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee.pdf | ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee | arxiv:2608.22534 | formula | 17 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[232.37,351.34,146.97,13.8],"bbox_pdf":[232.37,426.86,379.34,440.66],"fragments":[{"bbox_pdf":[232.37,426.86,379.34,440.66],"words":[9036,9037,9038,9039,9040,9041,9042,9043,9044,9045,9046,9047,9048]}],"html":null,"kind":"paragraph","latex":"\\chi^{2}(Y+U_{S}\\,\\|\\,U_{G})=\\|h*g_{S}\\|_{L^{2}(G)}^{2},... | CC-BY-4.0 | assets/ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee.pdf | ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee | arxiv:2608.22534 | formula | 17 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[164.78,391.62,282.16,26.23],"bbox_pdf":[164.78,374.14,446.94,400.38],"fragments":[{"bbox_pdf":[164.78,374.14,446.94,400.38],"words":[9076,9077,9078,9079,9080,9081,9082,9083,9084,9085,9086,9087,9088,9089,9090,9091,9092,9093,9094,9095,9096]}],"html":null,"kind":"paragraph","latex":"\\|h*g_{S}\\|_{L^{2}(... | CC-BY-4.0 | assets/ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee.pdf | ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee | arxiv:2608.22534 | formula | 17 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[210.45,442.33,190.82,32.6],"bbox_pdf":[210.45,317.07,401.27,349.67],"fragments":[{"bbox_pdf":[210.45,317.07,401.27,349.67],"words":[9104,9105,9106,9107,9108,9109,9110,9111,9112,9113,9114,9115,9116]}],"html":null,"kind":"paragraph","latex":"\\widehat{g_{S}}(\\chi)=\\int_{G}g_{S}(x)\\overline{\\chi(x)}\... | CC-BY-4.0 | assets/ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee.pdf | ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee | arxiv:2608.22534 | formula | 17 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[141.51,494.23,328.69,26.23],"bbox_pdf":[141.51,271.54,470.2,297.77],"fragments":[{"bbox_pdf":[141.51,271.54,470.2,297.77],"words":[9133,9136,9137,9138,9139,9140,9141,9142,9143,9144,9145,9146,9147,9148,9149,9150,9151,9152,9153,9154,9155,9156,9157,9158,9159,9160]}],"html":null,"kind":"paragraph","latex"... | CC-BY-4.0 | assets/ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee.pdf | ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee | arxiv:2608.22534 | formula | 17 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[244.14,536.78,123.44,26.23],"bbox_pdf":[244.14,228.99,367.58,255.22],"fragments":[{"bbox_pdf":[244.14,228.99,367.58,255.22],"words":[9165,9166,9167,9168,9169,9170,9171,9172,9173]}],"html":null,"kind":"paragraph","latex":"\\int_{\\hat{G}}|\\widehat{h}(\\chi)|^{2}\\,d\\theta(\\chi)=\\|h\\|_{L^{2}(G)}^{2... | CC-BY-4.0 | assets/ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee.pdf | ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee | arxiv:2608.22534 | formula | 17 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[273.85,652.08,64.02,23.54],"bbox_pdf":[273.85,116.39,337.87,139.92],"fragments":[{"bbox_pdf":[273.85,116.39,337.87,139.92],"words":[9255,9256,9257,9258,9259,9260,9261,9262,9263,9264]}],"html":null,"kind":"paragraph","latex":"Q^{t}:=\\frac{tQ+P}{1+t}.","level":null,"list_depth":null,"match":{"src_place... | CC-BY-4.0 | assets/ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee.pdf | ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee | arxiv:2608.22534 | formula | 17 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[179.95,689.5,251.82,36.08],"bbox_pdf":[179.95,66.43,431.77,102.5],"fragments":[{"bbox_pdf":[179.95,66.43,431.77,102.5],"words":[9271,9272,9273,9274,9275,9276,9277,9278,9279,9280,9281,9282,9283,9284,9285,9287,9288,9289,9290,9291,9292,9293,9294,9295,9296,9297,9298,9299]}],"html":null,"kind":"paragraph",... | CC-BY-4.0 | assets/ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee.pdf | ee3130e0ab54439d02c744ada3b48a3489ef4a8c9833f145fa64d9bef03e2dee | arxiv:2608.22534 | formula | 17 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","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":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1},"blocks":[{"bbo... | CC-BY-4.0 | assets/53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4.pdf | 53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4 | arxiv:2608.22534 | page | 19 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[192.86,86.21,225.99,92.53],"bbox_pdf":[192.86,613.25,418.85,705.79],"fragments":[{"bbox_pdf":[192.86,613.25,418.85,705.79],"words":[9754,9755,9756,9757,9758,9759,9760,9761,9762,9764,9765,9766,9767,9768,9769,9770,9771,9772,9773,9774,9775,9776,9777,9778,9779,9780,9781,9782,9783,9784,9785,9786,9787,9788,... | CC-BY-4.0 | assets/53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4.pdf | 53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4 | arxiv:2608.22534 | formula | 19 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[197.47,197.33,216.77,32.6],"bbox_pdf":[197.47,562.07,414.24,594.67],"fragments":[{"bbox_pdf":[197.47,562.07,414.24,594.67],"words":[9823,9824,9825,9826,9827,9828,9829,9830,9831,9832,9833,9834,9835,9836,9837,9838,9839,9840,9841,9842,9843,9844,9845]}],"html":null,"kind":"paragraph","latex":"\\chi^{2}(f_... | CC-BY-4.0 | assets/53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4.pdf | 53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4 | arxiv:2608.22534 | formula | 19 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[214.26,256.43,176.06,23.54],"bbox_pdf":[214.26,512.03,390.32,535.57],"fragments":[{"bbox_pdf":[214.26,512.03,390.32,535.57],"words":[9853,9854,9855,9856,9857,9858,9859,9860,9861,9862,9863,9864,9865,9866,9867,9868,9869,9870,9872]}],"html":null,"kind":"paragraph","latex":"\\chi^{2}(f_{Y}\\ast g_{S}\\|g^... | CC-BY-4.0 | assets/53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4.pdf | 53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4 | arxiv:2608.22534 | formula | 19 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[182.52,368.77,246.67,25.66],"bbox_pdf":[182.52,397.57,429.19,423.23],"fragments":[{"bbox_pdf":[182.52,397.57,429.19,423.23],"words":[9959,9960,9961,9962,9963,9964,9965,9966,9967,9968,9969,9970,9971,9972,9973,9974,9975]}],"html":null,"kind":"paragraph","latex":"D(Y\\|U_{G})-D(Y+U_{S}\\|U_{G})\\geq\\fra... | CC-BY-4.0 | assets/53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4.pdf | 53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4 | arxiv:2608.22534 | formula | 19 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[257.65,402.11,96.41,30.84],"bbox_pdf":[257.65,359.04,354.06,389.89],"fragments":[{"bbox_pdf":[257.65,359.04,354.06,389.89],"words":[9977,9978,9979,9980,9981,9982,9983]}],"html":null,"kind":"paragraph","latex":"\\eta_{S}=\\left(\\frac{\\sin(\\pi\\mu(S))}{\\pi\\mu(S)}\\right)^{2}.","level":null,"list_de... | CC-BY-4.0 | assets/53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4.pdf | 53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4 | arxiv:2608.22534 | formula | 19 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[116.3,460.04,231.96,32.8],"bbox_pdf":[116.3,299.16,348.25,331.96],"fragments":[{"bbox_pdf":[116.3,299.16,348.25,331.96],"words":[10029,10030,10031,10032,10033,10034,10035,10036,10037,10038,10039,10041,10042,10043]}],"html":null,"kind":"paragraph","latex":"g^{t}\\ast g_{S}=\\frac{t+f_{Y}\\ast g_{S}}{1+... | CC-BY-4.0 | assets/53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4.pdf | 53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4 | arxiv:2608.22534 | formula | 19 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[138.66,538.57,334.4,40.71],"bbox_pdf":[138.66,212.71,473.06,253.43],"fragments":[{"bbox_pdf":[138.66,212.71,473.06,253.43],"words":[10067,10068,10069,10070,10071,10072,10073,10074,10075,10076,10077,10078,10079,10080,10081,10082,10083,10084,10085,10086,10087,10088,10089,10090,10091,10092,10094,10095,10... | CC-BY-4.0 | assets/53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4.pdf | 53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4 | arxiv:2608.22534 | formula | 19 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[138.66,609.87,334.4,32.6],"bbox_pdf":[138.66,149.53,473.06,182.13],"fragments":[{"bbox_pdf":[138.66,149.53,473.06,182.13],"words":[10129,10130,10131,10132,10133,10134,10135,10136,10137,10138,10139,10140,10141,10142,10143,10144,10145,10147,10148,10149,10150,10151,10152,10153,10154,10155,10156,10157,101... | CC-BY-4.0 | assets/53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4.pdf | 53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4 | arxiv:2608.22534 | formula | 19 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[108.4,661.95,392.16,61.77],"bbox_pdf":[108.4,68.28,500.55,130.05],"fragments":[{"bbox_pdf":[108.4,68.28,500.55,130.05],"words":[10164,10165,10166,10167,10168,10169,10170,10171,10172,10173,10174,10175,10176,10177,10178,10179,10180,10181,10182,10183,10184,10185,10186,10187,10189,10190,10191,10192,10193,... | CC-BY-4.0 | assets/53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4.pdf | 53b5536a8a940d408fb72718300bca568251cc5915c880ac601b4e0cd25cf5e4 | arxiv:2608.22534 | formula | 19 | {"arxiv_id":"2608.22534","authors":"Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu, Aaron Wagner","title":"Entropy power inequalities in compact groups","url":"https://arxiv.org/abs/2608.22534v1","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":"2608.22549","authors":"Cevahir Koprulu, David Paz, Feng Tao, Yuliang Guo, Xinyu Huang, Ufuk Topcu, Liu Ren","title":"Scaling Curriculum Learning For Autonomous Driving","url":"https://arxiv.org/abs/2608.22549v1","version":1}... | CC-BY-4.0 | assets/c17f59902d29d620845c5bc546ae3b514f4a8c5bae01810536ed9af216870700.pdf | c17f59902d29d620845c5bc546ae3b514f4a8c5bae01810536ed9af216870700 | arxiv:2608.22549 | page | 3 | {"arxiv_id":"2608.22549","authors":"Cevahir Koprulu, David Paz, Feng Tao, Yuliang Guo, Xinyu Huang, Ufuk Topcu, Liu Ren","title":"Scaling Curriculum Learning For Autonomous Driving","url":"https://arxiv.org/abs/2608.22549v1","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":"2608.22549","authors":"Cevahir Koprulu, David Paz, Feng Tao, Yuliang Guo, Xinyu Huang, Ufuk Topcu, Liu Ren","title":"Scaling Curriculum Learning For Autonomous Driving","url":"https://arxiv.org/abs/2608.22549v1","version":1}... | CC-BY-4.0 | assets/517ad59c03166249e274a46c9290cb6db728a0ef1b6802bee1541087de41a015.pdf | 517ad59c03166249e274a46c9290cb6db728a0ef1b6802bee1541087de41a015 | arxiv:2608.22549 | page | 5 | {"arxiv_id":"2608.22549","authors":"Cevahir Koprulu, David Paz, Feng Tao, Yuliang Guo, Xinyu Huang, Ufuk Topcu, Liu Ren","title":"Scaling Curriculum Learning For Autonomous Driving","url":"https://arxiv.org/abs/2608.22549v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[170.37,545.36,334.29,11.46],"bbox_pdf":[170.37,235.18,504.67,246.64],"fragments":[{"bbox_pdf":[170.37,235.18,504.67,246.64],"words":[3078,3079,3080,3081,3082,3083,3084,3086,3087,3089,3090,3092,3093,3094]}],"html":null,"kind":"paragraph","latex":"\\mathbb{P}_{\\text{replay}}(\\theta_{i}|\\mathcal{B},U,... | CC-BY-4.0 | assets/517ad59c03166249e274a46c9290cb6db728a0ef1b6802bee1541087de41a015.pdf | 517ad59c03166249e274a46c9290cb6db728a0ef1b6802bee1541087de41a015 | arxiv:2608.22549 | formula | 5 | {"arxiv_id":"2608.22549","authors":"Cevahir Koprulu, David Paz, Feng Tao, Yuliang Guo, Xinyu Huang, Ufuk Topcu, Liu Ren","title":"Scaling Curriculum Learning For Autonomous Driving","url":"https://arxiv.org/abs/2608.22549v1","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":"2608.22549","authors":"Cevahir Koprulu, David Paz, Feng Tao, Yuliang Guo, Xinyu Huang, Ufuk Topcu, Liu Ren","title":"Scaling Curriculum Learning For Autonomous Driving","url":"https://arxiv.org/abs/2608.22549v1","version":1}... | CC-BY-4.0 | assets/4c7444f599b099bd7ac26685c4a2e39a477b2997543346800421691e4203f97b.pdf | 4c7444f599b099bd7ac26685c4a2e39a477b2997543346800421691e4203f97b | arxiv:2608.22549 | page | 9 | {"arxiv_id":"2608.22549","authors":"Cevahir Koprulu, David Paz, Feng Tao, Yuliang Guo, Xinyu Huang, Ufuk Topcu, Liu Ren","title":"Scaling Curriculum Learning For Autonomous Driving","url":"https://arxiv.org/abs/2608.22549v1","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":"2608.22549","authors":"Cevahir Koprulu, David Paz, Feng Tao, Yuliang Guo, Xinyu Huang, Ufuk Topcu, Liu Ren","title":"Scaling Curriculum Learning For Autonomous Driving","url":"https://arxiv.org/abs/2608.22549v1","version":1}... | CC-BY-4.0 | assets/77c59cfaaaa45d6488dc7ba70da2d77dbb7f4c4d32edbeaae9c547bd7d502f9e.pdf | 77c59cfaaaa45d6488dc7ba70da2d77dbb7f4c4d32edbeaae9c547bd7d502f9e | arxiv:2608.22549 | page | 10 | {"arxiv_id":"2608.22549","authors":"Cevahir Koprulu, David Paz, Feng Tao, Yuliang Guo, Xinyu Huang, Ufuk Topcu, Liu Ren","title":"Scaling Curriculum Learning For Autonomous Driving","url":"https://arxiv.org/abs/2608.22549v1","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":"2608.22549","authors":"Cevahir Koprulu, David Paz, Feng Tao, Yuliang Guo, Xinyu Huang, Ufuk Topcu, Liu Ren","title":"Scaling Curriculum Learning For Autonomous Driving","url":"https://arxiv.org/abs/2608.22549v1","version":1}... | CC-BY-4.0 | assets/afbe27400a726a047f9f9e1ffb15c35d857f6fcfe5b17c01f7ab0955219e1916.pdf | afbe27400a726a047f9f9e1ffb15c35d857f6fcfe5b17c01f7ab0955219e1916 | arxiv:2608.22549 | page | 16 | {"arxiv_id":"2608.22549","authors":"Cevahir Koprulu, David Paz, Feng Tao, Yuliang Guo, Xinyu Huang, Ufuk Topcu, Liu Ren","title":"Scaling Curriculum Learning For Autonomous Driving","url":"https://arxiv.org/abs/2608.22549v1","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":"2608.22549","authors":"Cevahir Koprulu, David Paz, Feng Tao, Yuliang Guo, Xinyu Huang, Ufuk Topcu, Liu Ren","title":"Scaling Curriculum Learning For Autonomous Driving","url":"https://arxiv.org/abs/2608.22549v1","version":1}... | CC-BY-4.0 | assets/c71bc22d5289d4c80ad61d86fb94502922ceba1b0d9464cdfa961966005fd19e.pdf | c71bc22d5289d4c80ad61d86fb94502922ceba1b0d9464cdfa961966005fd19e | arxiv:2608.22549 | page | 31 | {"arxiv_id":"2608.22549","authors":"Cevahir Koprulu, David Paz, Feng Tao, Yuliang Guo, Xinyu Huang, Ufuk Topcu, Liu Ren","title":"Scaling Curriculum Learning For Autonomous Driving","url":"https://arxiv.org/abs/2608.22549v1","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":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1},"blocks":[{"bbox":[75.... | CC-BY-4.0 | assets/95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f.pdf | 95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f | arxiv:2608.22561 | page | 2 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[220.44,160.16,171.12,43.23],"bbox_pdf":[220.44,588.61,391.56,631.84],"fragments":[{"bbox_pdf":[220.44,588.61,391.56,631.84],"words":[445,446,447,451,452,453,454,455,459,460,461]}],"html":null,"kind":"paragraph","latex":"E_{i,j}(n)=\\sum_{\\begin{subarray}{c}\\mu\\vdash j\\\\\n\\ell(\\mu)=i\\end{subarr... | CC-BY-4.0 | assets/95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f.pdf | 95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f | arxiv:2608.22561 | formula | 2 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[224.6,245.03,162.8,34.69],"bbox_pdf":[224.6,512.27,387.4,546.97],"fragments":[{"bbox_pdf":[224.6,512.27,387.4,546.97],"words":[482,483,484,485,486,487,488,489,490]}],"html":null,"kind":"paragraph","latex":"A_{r}(n)=\\sum_{i=1}^{n}\\log(i+r)\\,E_{i,i+r-1}(n).","level":null,"list_depth":null,"match":{"s... | CC-BY-4.0 | assets/95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f.pdf | 95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f | arxiv:2608.22561 | formula | 2 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[262.42,308.8,87.16,10.91],"bbox_pdf":[262.42,472.29,349.58,483.2],"fragments":[{"bbox_pdf":[262.42,472.29,349.58,483.2],"words":[499,500,501,502,503,504,505]}],"html":null,"kind":"paragraph","latex":"|\\mu|-\\ell(\\mu)=r-1.","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"or... | CC-BY-4.0 | assets/95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f.pdf | 95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f | arxiv:2608.22561 | formula | 2 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[290.3,378.2,26.66,12.47],"bbox_pdf":[290.3,401.32,316.96,413.8],"fragments":[{"bbox_pdf":[290.3,401.32,316.96,413.8],"words":[544,545,546]}],"html":null,"kind":"paragraph","latex":"(r,1^{m})","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"order":9,"role":"formula","source_r... | CC-BY-4.0 | assets/95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f.pdf | 95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f | arxiv:2608.22561 | formula | 2 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[275.7,442.35,30.3,10.91],"bbox_pdf":[275.7,338.74,306.0,349.65],"fragments":[{"bbox_pdf":[275.7,338.74,306.0,349.65],"words":[585]}],"html":null,"kind":"paragraph","latex":"1.635904\\ldots,","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"order":11,"role":"formula","source_r... | CC-BY-4.0 | assets/95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f.pdf | 95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f | arxiv:2608.22561 | formula | 2 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[210.38,495.01,186.5,12.47],"bbox_pdf":[210.38,284.52,396.88,296.99],"fragments":[{"bbox_pdf":[210.38,284.52,396.88,296.99],"words":[613,614,615,616,618,619,620,621,623,624,625,626,627]}],"html":null,"kind":"paragraph","latex":"(2,2,1^{m}),\\qquad(3,2,1^{m}),\\qquad(2,2,2,1^{m})","level":null,"list_dep... | CC-BY-4.0 | assets/95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f.pdf | 95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f | arxiv:2608.22561 | formula | 2 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[199.01,566.59,213.97,60.06],"bbox_pdf":[199.01,165.35,412.98,225.41],"fragments":[{"bbox_pdf":[199.01,165.35,412.98,225.41],"words":[672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705]}],"html":null,"kind":"paragraph"... | CC-BY-4.0 | assets/95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f.pdf | 95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f | arxiv:2608.22561 | formula | 2 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[199.01,657.75,213.97,60.06],"bbox_pdf":[199.01,74.19,412.98,134.25],"fragments":[{"bbox_pdf":[199.01,74.19,412.98,134.25],"words":[716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749]}],"html":null,"kind":"paragraph","... | CC-BY-4.0 | assets/95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f.pdf | 95f01e591b191a9b48073c9ea5c5b119553d55a4eef4b7f1e080aad89c5eb33f | arxiv:2608.22561 | formula | 2 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","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":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1},"blocks":[{"bbox":[75.... | CC-BY-4.0 | assets/bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856.pdf | bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856 | arxiv:2608.22561 | page | 8 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[242.5,107.68,127.0,34.42],"bbox_pdf":[242.5,649.9,369.5,684.32],"fragments":[{"bbox_pdf":[242.5,649.9,369.5,684.32],"words":[3110,3111,3112,3113,3114,3115,3116,3117,3118,3119,3120,3121]}],"html":null,"kind":"paragraph","latex":"v\\sum_{m\\geq 1}\\frac{u^{m}}{m!\\,q^{m}}=v(e^{u/q}-1).","level":null,"li... | CC-BY-4.0 | assets/bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856.pdf | bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856 | arxiv:2608.22561 | formula | 8 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[269.22,176.1,73.55,12.47],"bbox_pdf":[269.22,603.42,342.77,615.9],"fragments":[{"bbox_pdf":[269.22,603.42,342.77,615.9],"words":[3131,3132,3133,3134,3135,3136]}],"html":null,"kind":"paragraph","latex":"1+v(e^{u/q}-1).","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"order":3... | CC-BY-4.0 | assets/bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856.pdf | bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856 | arxiv:2608.22561 | formula | 8 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[227.22,222.3,157.56,35.97],"bbox_pdf":[227.22,533.73,384.78,569.7],"fragments":[{"bbox_pdf":[227.22,533.73,384.78,569.7],"words":[3155,3156,3157,3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3168,3169]}],"html":null,"kind":"paragraph","latex":"F_{n}(u,v)=\\prod_{q=1}^{n}\\left(1+v(e^{u/q}-1)\\righ... | CC-BY-4.0 | assets/bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856.pdf | bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856 | arxiv:2608.22561 | formula | 8 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[183.78,312.78,353.9,36.17],"bbox_pdf":[183.78,443.05,537.68,479.22],"fragments":[{"bbox_pdf":[183.78,443.05,537.68,479.22],"words":[3188,3189,3190,3191,3192,3193,3194,3195,3196,3197,3198,3199,3200,3201,3202,3203,3204,3205,3206,3207,3208,3209,3210]}],"html":null,"kind":"paragraph","latex":"F_{n}(u,v)=\... | CC-BY-4.0 | assets/bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856.pdf | bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856 | arxiv:2608.22561 | formula | 8 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[249.03,372.2,113.94,14.11],"bbox_pdf":[249.03,405.69,362.97,419.8],"fragments":[{"bbox_pdf":[249.03,405.69,362.97,419.8],"words":[3213,3214,3215,3216,3217,3218,3219,3220]}],"html":null,"kind":"paragraph","latex":"[u^{j}v^{i}]F_{n}(u,v)=E_{i,j}(n).","level":null,"list_depth":null,"match":{"src_placed":... | CC-BY-4.0 | assets/bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856.pdf | bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856 | arxiv:2608.22561 | formula | 8 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[223.71,414.76,164.58,34.42],"bbox_pdf":[223.71,342.82,388.29,377.24],"fragments":[{"bbox_pdf":[223.71,342.82,388.29,377.24],"words":[3227,3228,3229,3230,3231,3232,3233,3234,3235,3236,3237,3238,3239,3240,3241,3242,3243]}],"html":null,"kind":"paragraph","latex":"1+v(e^{u/q}-1)=1+v\\sum_{m\\geq 1}\\frac{... | CC-BY-4.0 | assets/bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856.pdf | bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856 | arxiv:2608.22561 | formula | 8 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[253.19,486.4,105.61,12.55],"bbox_pdf":[253.19,293.06,358.81,305.6],"fragments":[{"bbox_pdf":[253.19,293.06,358.81,305.6],"words":[3262,3266,3267,3268,3272]}],"html":null,"kind":"paragraph","latex":"q_{1},\\ldots,q_{i}\\in\\{1,\\ldots,n\\}.","level":null,"list_depth":null,"match":{"src_placed":1.0,"ver... | CC-BY-4.0 | assets/bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856.pdf | bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856 | arxiv:2608.22561 | formula | 8 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[223.28,532.01,165.44,29.03],"bbox_pdf":[223.28,230.96,388.72,259.99],"fragments":[{"bbox_pdf":[223.28,230.96,388.72,259.99],"words":[3288,3289,3290,3291,3292,3293,3294,3295,3296,3300,3301,3302,3303,3305]}],"html":null,"kind":"paragraph","latex":"v^{i}u^{m_{1}+\\cdots+m_{i}}\\frac{1}{m_{1}!\\cdots m_{i... | CC-BY-4.0 | assets/bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856.pdf | bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856 | arxiv:2608.22561 | formula | 8 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[262.84,583.21,85.7,12.55],"bbox_pdf":[262.84,196.24,348.54,208.79],"fragments":[{"bbox_pdf":[262.84,196.24,348.54,208.79],"words":[3310,3311,3315,3316,3317,3318]}],"html":null,"kind":"paragraph","latex":"m_{1}+\\cdots+m_{i}=j","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"... | CC-BY-4.0 | assets/bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856.pdf | bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856 | arxiv:2608.22561 | formula | 8 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[258.47,641.29,95.05,12.55],"bbox_pdf":[258.47,138.16,353.53,150.71],"fragments":[{"bbox_pdf":[258.47,138.16,353.53,150.71],"words":[3345,3346,3350]}],"html":null,"kind":"paragraph","latex":"m_{\\mu}(1,1/2,\\ldots,1/n).","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"order":... | CC-BY-4.0 | assets/bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856.pdf | bfdf1470458494e73cebc6c0a49a39417f21ed90def5428da6f9abbfbe462856 | arxiv:2608.22561 | formula | 8 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","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":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1},"blocks":[{"bbox":[75.... | CC-BY-4.0 | assets/60181a001f35e087619ac2ef548aadc5fe2f45522d9f9ab4e2c9f8968f24c834.pdf | 60181a001f35e087619ac2ef548aadc5fe2f45522d9f9ab4e2c9f8968f24c834 | arxiv:2608.22561 | page | 9 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[249.64,113.71,112.73,10.91],"bbox_pdf":[249.64,667.38,362.36,678.29],"fragments":[{"bbox_pdf":[249.64,667.38,362.36,678.29],"words":[3402,3403,3404,3405,3406]}],"html":null,"kind":"paragraph","latex":"(3,1)\\qquad\\text{and}\\qquad(2,2),","level":null,"list_depth":null,"match":{"src_placed":1.0,"verif... | CC-BY-4.0 | assets/60181a001f35e087619ac2ef548aadc5fe2f45522d9f9ab4e2c9f8968f24c834.pdf | 60181a001f35e087619ac2ef548aadc5fe2f45522d9f9ab4e2c9f8968f24c834 | arxiv:2608.22561 | formula | 9 | {"arxiv_id":"2608.22561","authors":"Ricardo G\\'omez-A\\'iza","title":"Young-lattice diagonals and a doubly graded multiple-zeta decomposition of $e^\\gamma$","url":"https://arxiv.org/abs/2608.22561v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
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