annotation_attribution stringclasses 1
value | annotation_json stringlengths 496 126k | annotation_licence stringclasses 1
value | asset stringlengths 75 75 | asset_sha256 stringlengths 64 64 | document_id stringclasses 413
values | kind stringclasses 2
values | page_number int64 1 99 | paper_attribution_json stringclasses 413
values | paper_licence stringclasses 3
values | source stringclasses 3
values |
|---|---|---|---|---|---|---|---|---|---|---|
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[222.07,654.99,166.1,35.7],"bbox_pdf":[222.07,101.31,388.18,137.01],"fragments":[{"bbox_pdf":[222.07,101.31,388.18,137.01],"words":[6564,6565,6566,6567,6568,6569,6570,6571,6572,6573,6574]}],"html":null,"kind":"paragraph","latex":"\\operatorname{gap}(\\mathbb{P}_{\\textsc{Swap~{}},\\mathrm{lazy}})\\geq\... | 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 |
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/8bcc286188cc66900e61f6515c577e4cdb618c08fdb0a261f1142f148dd36cd6.pdf | 8bcc286188cc66900e61f6515c577e4cdb618c08fdb0a261f1142f148dd36cd6 | arxiv:2608.17531 | page | 24 | {"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":[239.78,306.86,130.69,23.72],"bbox_pdf":[239.78,461.42,370.47,485.14],"fragments":[{"bbox_pdf":[239.78,461.42,370.47,485.14],"words":[6693,6694,6695,6696,6697,6698,6699,6700,6701]}],"html":null,"kind":"paragraph","latex":"t_{\\mathrm{mix}}^{\\mathrm{perm}}(1/4)=\\Theta(\\sqrt{n}\\log n).","level":null,... | CC-BY-4.0 | assets/8bcc286188cc66900e61f6515c577e4cdb618c08fdb0a261f1142f148dd36cd6.pdf | 8bcc286188cc66900e61f6515c577e4cdb618c08fdb0a261f1142f148dd36cd6 | arxiv:2608.17531 | formula | 24 | {"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":[244.23,407.18,121.78,23.72],"bbox_pdf":[244.23,361.1,366.01,384.82],"fragments":[{"bbox_pdf":[244.23,361.1,366.01,384.82],"words":[6711,6712,6713,6714,6715,6716,6717,6718,6719]}],"html":null,"kind":"paragraph","latex":"t_{\\mathrm{mix}}^{\\mathrm{perm}}(\\epsilon)=\\Theta_{\\epsilon}(\\sqrt{n}\\log n)... | CC-BY-4.0 | assets/8bcc286188cc66900e61f6515c577e4cdb618c08fdb0a261f1142f148dd36cd6.pdf | 8bcc286188cc66900e61f6515c577e4cdb618c08fdb0a261f1142f148dd36cd6 | arxiv:2608.17531 | formula | 24 | {"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/99a28ae2186e7ecfc06b2be20a06991c9a4158155449d914eddb291c511ebd98.pdf | 99a28ae2186e7ecfc06b2be20a06991c9a4158155449d914eddb291c511ebd98 | arxiv:2608.17531 | page | 25 | {"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":[240.56,215.62,129.12,24.79],"bbox_pdf":[240.56,551.59,369.69,576.38],"fragments":[{"bbox_pdf":[240.56,551.59,369.69,576.38],"words":[6885,6886,6887,6888,6889,6890,6891]}],"html":null,"kind":"paragraph","latex":"\\operatorname{gap}(\\mathbb{P}_{\\textsc{Snake~{}},\\mathrm{lazy}})\\geq\\frac{1}{%\nmnd^{... | CC-BY-4.0 | assets/99a28ae2186e7ecfc06b2be20a06991c9a4158155449d914eddb291c511ebd98.pdf | 99a28ae2186e7ecfc06b2be20a06991c9a4158155449d914eddb291c511ebd98 | arxiv:2608.17531 | formula | 25 | {"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":[124.09,314.47,362.07,21.52],"bbox_pdf":[124.09,456.01,486.16,477.53],"fragments":[{"bbox_pdf":[124.09,456.01,486.16,477.53],"words":[6900,6901,6902,6903,6904,6905,6906,6907,6908,6909,6910,6911,6912,6913,6914,6915,6916,6917,6918,6919,6920,6921,6922,6923,6924,6925,6926,6927,6928]}],"html":null,"kind":"p... | CC-BY-4.0 | assets/99a28ae2186e7ecfc06b2be20a06991c9a4158155449d914eddb291c511ebd98.pdf | 99a28ae2186e7ecfc06b2be20a06991c9a4158155449d914eddb291c511ebd98 | arxiv:2608.17531 | formula | 25 | {"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/c38709b47b68f1e9fa7c9e1f28c674ec1471031b114917ea2c4f712bdfe864c8.pdf | c38709b47b68f1e9fa7c9e1f28c674ec1471031b114917ea2c4f712bdfe864c8 | arxiv:2608.17531 | page | 26 | {"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/16d16662c5dc3f07e5ebc76d5eb0ce68895aa8472493f65c38a5449dfbff163b.pdf | 16d16662c5dc3f07e5ebc76d5eb0ce68895aa8472493f65c38a5449dfbff163b | arxiv:2608.17531 | page | 27 | {"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/dc3f3e263d96cab2621b6aa3952968cc6d2b6857c2dec1c14e2ef451807c069a.pdf | dc3f3e263d96cab2621b6aa3952968cc6d2b6857c2dec1c14e2ef451807c069a | arxiv:2608.17531 | page | 29 | {"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":[250.45,94.99,109.35,32.83],"bbox_pdf":[250.45,664.17,359.8,697.01],"fragments":[{"bbox_pdf":[250.45,664.17,359.8,697.01],"words":[8007,8008,8009,8010,8011,8012,8013,8014]}],"html":null,"kind":"paragraph","latex":"N_{1}:=\\sum_{i=1}^{m}\\sum_{j=1}^{n}M_{0}(i,j),","level":null,"list_depth":null,"match":... | CC-BY-4.0 | assets/dc3f3e263d96cab2621b6aa3952968cc6d2b6857c2dec1c14e2ef451807c069a.pdf | dc3f3e263d96cab2621b6aa3952968cc6d2b6857c2dec1c14e2ef451807c069a | arxiv:2608.17531 | formula | 29 | {"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":[179.79,211.81,250.67,41.87],"bbox_pdf":[179.79,538.32,430.46,580.19],"fragments":[{"bbox_pdf":[179.79,538.32,430.46,580.19],"words":[8035,8036,8037,8038,8039,8040,8041,8042,8043,8044,8045,8046,8047,8048,8049,8050,8051,8052,8053]}],"html":null,"kind":"paragraph","latex":"T_{S}(M_{1};M_{0}):=\\frac{\\su... | CC-BY-4.0 | assets/dc3f3e263d96cab2621b6aa3952968cc6d2b6857c2dec1c14e2ef451807c069a.pdf | dc3f3e263d96cab2621b6aa3952968cc6d2b6857c2dec1c14e2ef451807c069a | arxiv:2608.17531 | formula | 29 | {"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":[185.67,377.98,238.92,32.83],"bbox_pdf":[185.67,381.19,424.59,414.02],"fragments":[{"bbox_pdf":[185.67,381.19,424.59,414.02],"words":[8091,8092,8093,8094,8095,8096,8097,8098,8099,8100,8101,8102,8103,8104,8105]}],"html":null,"kind":"paragraph","latex":"T_{S}(M_{1};M_{0})=\\frac{1}{2N_{1}}\\sum_{i=1}^{m}... | CC-BY-4.0 | assets/dc3f3e263d96cab2621b6aa3952968cc6d2b6857c2dec1c14e2ef451807c069a.pdf | dc3f3e263d96cab2621b6aa3952968cc6d2b6857c2dec1c14e2ef451807c069a | arxiv:2608.17531 | formula | 29 | {"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":[204.1,471.73,202.05,39.47],"bbox_pdf":[204.1,280.8,406.15,320.27],"fragments":[{"bbox_pdf":[204.1,280.8,406.15,320.27],"words":[8110,8111,8112,8113,8114,8115,8116,8117,8118,8119,8120,8121,8122,8123,8124,8125,8126,8127,8128,8129]}],"html":null,"kind":"paragraph","latex":"T_{1}(M_{1})=\\binom{m}{2}^{-1}... | CC-BY-4.0 | assets/dc3f3e263d96cab2621b6aa3952968cc6d2b6857c2dec1c14e2ef451807c069a.pdf | dc3f3e263d96cab2621b6aa3952968cc6d2b6857c2dec1c14e2ef451807c069a | arxiv:2608.17531 | formula | 29 | {"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":[212.54,606.08,185.17,32.83],"bbox_pdf":[212.54,153.09,397.71,185.92],"fragments":[{"bbox_pdf":[212.54,153.09,397.71,185.92],"words":[8150,8151,8152,8153,8154,8155,8156,8157,8158,8159,8160,8161,8162,8163,8164,8165]}],"html":null,"kind":"paragraph","latex":"T_{2}(M_{1})=n^{-1}\\sum_{j=1}^{n}\\sum_{i=1}^... | CC-BY-4.0 | assets/dc3f3e263d96cab2621b6aa3952968cc6d2b6857c2dec1c14e2ef451807c069a.pdf | dc3f3e263d96cab2621b6aa3952968cc6d2b6857c2dec1c14e2ef451807c069a | arxiv:2608.17531 | formula | 29 | {"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/c5fa013748029c9df955dccdca19578de606e75700501834e0319481df76dfb5.pdf | c5fa013748029c9df955dccdca19578de606e75700501834e0319481df76dfb5 | arxiv:2608.17531 | page | 31 | {"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/c39b343b28292b3ccbeb68f8f73fe25351fc1019e17a6742a591dd408141648c.pdf | c39b343b28292b3ccbeb68f8f73fe25351fc1019e17a6742a591dd408141648c | arxiv:2608.17531 | page | 32 | {"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":[263.93,500.07,82.4,13.75],"bbox_pdf":[263.93,278.19,346.32,291.93],"fragments":[{"bbox_pdf":[263.93,278.19,346.32,291.93],"words":[8782,8783,8784]}],"html":null,"kind":"paragraph","latex":"\\theta_{h}=\\mathbb{E}_{U}(h(M)),","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"or... | CC-BY-4.0 | assets/c39b343b28292b3ccbeb68f8f73fe25351fc1019e17a6742a591dd408141648c.pdf | c39b343b28292b3ccbeb68f8f73fe25351fc1019e17a6742a591dd408141648c | arxiv:2608.17531 | formula | 32 | {"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":[170.31,626.36,269.63,16.44],"bbox_pdf":[170.31,149.2,439.94,165.64],"fragments":[{"bbox_pdf":[170.31,149.2,439.94,165.64],"words":[8804,8805,8806,8807,8808,8809,8810,8811,8812,8813,8814,8815,8816,8817]}],"html":null,"kind":"paragraph","latex":"p_{h}^{>}(x)=\\mathbb{P}_{U}(h(M)>x),\\qquad p_{h}^{\\geq}... | CC-BY-4.0 | assets/c39b343b28292b3ccbeb68f8f73fe25351fc1019e17a6742a591dd408141648c.pdf | c39b343b28292b3ccbeb68f8f73fe25351fc1019e17a6742a591dd408141648c | arxiv:2608.17531 | formula | 32 | {"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/8b482c032dfd9ddc3663643db2d8c1c7054478ac7283c32f3ca8639423895e97.pdf | 8b482c032dfd9ddc3663643db2d8c1c7054478ac7283c32f3ca8639423895e97 | arxiv:2608.17531 | page | 33 | {"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":[168.85,149.89,272.54,33.01],"bbox_pdf":[168.85,609.1,441.4,642.11],"fragments":[{"bbox_pdf":[168.85,609.1,441.4,642.11],"words":[8889,8890,8891,8892,8893,8894,8895,8896,8897,8898,8899,8900,8901,8902,8903,8904,8905,8906,8907,8908]}],"html":null,"kind":"paragraph","latex":"\\widehat{\\theta}_{h}=\\frac{... | CC-BY-4.0 | assets/8b482c032dfd9ddc3663643db2d8c1c7054478ac7283c32f3ca8639423895e97.pdf | 8b482c032dfd9ddc3663643db2d8c1c7054478ac7283c32f3ca8639423895e97 | arxiv:2608.17531 | formula | 33 | {"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":[265.93,452.83,78.4,32.07],"bbox_pdf":[265.93,307.1,344.32,339.17],"fragments":[{"bbox_pdf":[265.93,307.1,344.32,339.17],"words":[9013,9014,9015,9016,9017,9018,9019,9020,9021,9022,9023]}],"html":null,"kind":"paragraph","latex":"\\bar{w}_{s}=\\frac{q_{s}^{-1}}{\\sum_{\\ell=1}^{N}q_{\\ell}^{-1}}.","level... | CC-BY-4.0 | assets/8b482c032dfd9ddc3663643db2d8c1c7054478ac7283c32f3ca8639423895e97.pdf | 8b482c032dfd9ddc3663643db2d8c1c7054478ac7283c32f3ca8639423895e97 | arxiv:2608.17531 | formula | 33 | {"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":[234.64,552.63,140.97,32.7],"bbox_pdf":[234.64,206.67,375.61,239.37],"fragments":[{"bbox_pdf":[234.64,206.67,375.61,239.37],"words":[9029,9030,9031,9032,9033,9034,9035,9036,9037,9038,9039]}],"html":null,"kind":"paragraph","latex":"\\widehat{p}_{h,\\mathrm{SIS}}^{\\geq}(x)=\\sum_{s=1}^{N}\\bar{w}_{s}{\\... | CC-BY-4.0 | assets/8b482c032dfd9ddc3663643db2d8c1c7054478ac7283c32f3ca8639423895e97.pdf | 8b482c032dfd9ddc3663643db2d8c1c7054478ac7283c32f3ca8639423895e97 | arxiv:2608.17531 | formula | 33 | {"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":[190.83,673.82,228.59,39.27],"bbox_pdf":[190.83,78.9,419.42,118.18],"fragments":[{"bbox_pdf":[190.83,78.9,419.42,118.18],"words":[9062,9063,9064,9065,9066,9067,9068,9069,9070,9071,9072,9073,9074,9075,9076,9077,9078,9079,9080]}],"html":null,"kind":"paragraph","latex":"\\widehat{\\mathrm{se}}_{\\mathrm{S... | CC-BY-4.0 | assets/8b482c032dfd9ddc3663643db2d8c1c7054478ac7283c32f3ca8639423895e97.pdf | 8b482c032dfd9ddc3663643db2d8c1c7054478ac7283c32f3ca8639423895e97 | arxiv:2608.17531 | formula | 33 | {"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/27c0631ca38f5349831a81251ff949c564378a3cd3c7fd187b8bda875ab8b6c1.pdf | 27c0631ca38f5349831a81251ff949c564378a3cd3c7fd187b8bda875ab8b6c1 | arxiv:2608.17531 | page | 34 | {"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":[218.59,203.15,172.12,32.22],"bbox_pdf":[218.59,556.63,390.71,588.85],"fragments":[{"bbox_pdf":[218.59,556.63,390.71,588.85],"words":[9127,9128,9129,9130,9131,9132,9133,9134,9135,9136,9137,9138,9139,9140,9141]}],"html":null,"kind":"paragraph","latex":"S^{2}(M):=\\frac{1}{m(m-1)}\\sum_{i\\neq j}(MM^{\\t... | CC-BY-4.0 | assets/27c0631ca38f5349831a81251ff949c564378a3cd3c7fd187b8bda875ab8b6c1.pdf | 27c0631ca38f5349831a81251ff949c564378a3cd3c7fd187b8bda875ab8b6c1 | arxiv:2608.17531 | formula | 34 | {"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/b4d7e81b72b0d5b6186d4f75ee7693c42911e368c9ce82b2ea2bd1bed05a3088.pdf | b4d7e81b72b0d5b6186d4f75ee7693c42911e368c9ce82b2ea2bd1bed05a3088 | arxiv:2608.17531 | page | 35 | {"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/6016696bd90c31eabafa44c4d2c7a16d9daf48b6c37c2c372a61827995c6dc38.pdf | 6016696bd90c31eabafa44c4d2c7a16d9daf48b6c37c2c372a61827995c6dc38 | arxiv:2608.17531 | page | 36 | {"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/4860a11e985275f655f395057f26a218626568ea957bec6df0f2b523eed043f2.pdf | 4860a11e985275f655f395057f26a218626568ea957bec6df0f2b523eed043f2 | arxiv:2608.17531 | page | 38 | {"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/b9727db1bb804ca6cc5bdc8d08d80e546a0744754dd7ee10422a22151a515885.pdf | b9727db1bb804ca6cc5bdc8d08d80e546a0744754dd7ee10422a22151a515885 | arxiv:2608.17531 | page | 39 | {"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/7e6f3dd0c1e6b2ed697ad16235ea9644d0b7c49564207f39b11997f5875b5ce6.pdf | 7e6f3dd0c1e6b2ed697ad16235ea9644d0b7c49564207f39b11997f5875b5ce6 | arxiv:2608.17531 | page | 40 | {"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/091aa704093809ce895c2e0872b601901ef24611abe3e56e349e8a58ac558e13.pdf | 091aa704093809ce895c2e0872b601901ef24611abe3e56e349e8a58ac558e13 | arxiv:2608.17531 | page | 42 | {"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":[220.03,653.3,170.2,13.75],"bbox_pdf":[220.03,124.95,390.23,138.7],"fragments":[{"bbox_pdf":[220.03,124.95,390.23,138.7],"words":[11508,11509,11510,11514,11515,11516,11517,11518,11519,11520]}],"html":null,"kind":"paragraph","latex":"h=(s_{1},\\ldots,s_{q};p),\\qquad 1\\leq p<q,","level":null,"list_dept... | CC-BY-4.0 | assets/091aa704093809ce895c2e0872b601901ef24611abe3e56e349e8a58ac558e13.pdf | 091aa704093809ce895c2e0872b601901ef24611abe3e56e349e8a58ac558e13 | arxiv:2608.17531 | formula | 42 | {"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/6b94d98f04f84a6b6e8dd5e0f48d9a26b39d5d4182e863fd5d04780231e3fb9d.pdf | 6b94d98f04f84a6b6e8dd5e0f48d9a26b39d5d4182e863fd5d04780231e3fb9d | arxiv:2608.17531 | page | 43 | {"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/3f4757a7ecd47422b72c6f5f9eae1546f0f09916d7514875922b908200385e09.pdf | 3f4757a7ecd47422b72c6f5f9eae1546f0f09916d7514875922b908200385e09 | arxiv:2608.17531 | page | 44 | {"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/0a571cf5a090e1a3c3c6feb5408d8c6075ec80eb40fee999f97db9eda1679fc4.pdf | 0a571cf5a090e1a3c3c6feb5408d8c6075ec80eb40fee999f97db9eda1679fc4 | arxiv:2608.17531 | page | 51 | {"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":[247.56,88.74,115.13,37.16],"bbox_pdf":[247.56,666.09,362.69,703.26],"fragments":[{"bbox_pdf":[247.56,666.09,362.69,703.26],"words":[13580,13581,13582,13583,13584,13585,13586,13587,13588,13589]}],"html":null,"kind":"paragraph","latex":"\\mathbb{E}(L)\\geq\\frac{1}{64}\\sqrt{\\frac{m}{m-\\mathbf{c}_{\\m... | CC-BY-4.0 | assets/0a571cf5a090e1a3c3c6feb5408d8c6075ec80eb40fee999f97db9eda1679fc4.pdf | 0a571cf5a090e1a3c3c6feb5408d8c6075ec80eb40fee999f97db9eda1679fc4 | arxiv:2608.17531 | formula | 51 | {"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":[162.34,313.02,285.57,32.83],"bbox_pdf":[162.34,446.14,447.91,478.98],"fragments":[{"bbox_pdf":[162.34,446.14,447.91,478.98],"words":[13625,13626,13627,13628,13629,13630,13631,13632,13633,13634,13635,13636,13637,13638,13639,13640,13641,13642,13643,13644,13645,13646,13647,13648,13649,13650]}],"html":nul... | CC-BY-4.0 | assets/0a571cf5a090e1a3c3c6feb5408d8c6075ec80eb40fee999f97db9eda1679fc4.pdf | 0a571cf5a090e1a3c3c6feb5408d8c6075ec80eb40fee999f97db9eda1679fc4 | arxiv:2608.17531 | formula | 51 | {"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":[205.48,533.98,199.29,28.24],"bbox_pdf":[205.48,229.78,404.77,258.02],"fragments":[{"bbox_pdf":[205.48,229.78,404.77,258.02],"words":[13724,13725,13726,13727,13728,13729,13730,13731,13732,13733,13734,13735,13736,13737,13738,13739,13740]}],"html":null,"kind":"paragraph","latex":"\\mathbb{P}(R>k+1\\mid R... | CC-BY-4.0 | assets/0a571cf5a090e1a3c3c6feb5408d8c6075ec80eb40fee999f97db9eda1679fc4.pdf | 0a571cf5a090e1a3c3c6feb5408d8c6075ec80eb40fee999f97db9eda1679fc4 | arxiv:2608.17531 | formula | 51 | {"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":[150.9,623.86,308.45,42.66],"bbox_pdf":[150.9,125.48,459.35,168.14],"fragments":[{"bbox_pdf":[150.9,125.48,459.35,168.14],"words":[13749,13750,13751,13752,13753,13754,13755,13756,13757,13758,13759,13760,13761,13762,13763,13764,13765,13766,13767,13768,13769,13770,13771,13772,13773,13774,13775,13776,1377... | CC-BY-4.0 | assets/0a571cf5a090e1a3c3c6feb5408d8c6075ec80eb40fee999f97db9eda1679fc4.pdf | 0a571cf5a090e1a3c3c6feb5408d8c6075ec80eb40fee999f97db9eda1679fc4 | arxiv:2608.17531 | formula | 51 | {"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/4adb2b1aa4af5c1b41e3333aec0ab9229f5d0069f987dce87512a176bfbd3945.pdf | 4adb2b1aa4af5c1b41e3333aec0ab9229f5d0069f987dce87512a176bfbd3945 | arxiv:2608.17531 | page | 67 | {"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":[196.67,88.02,338.73,40.07],"bbox_pdf":[196.67,663.91,535.4,703.98],"fragments":[{"bbox_pdf":[196.67,663.91,535.4,703.98],"words":[17452,17453,17454,17455,17456,17457,17458,17459,17460,17461,17462,17463,17464,17465,17466,17467,17468,17469,17470,17471,17472,17473,17474,17475]}],"html":null,"kind":"parag... | CC-BY-4.0 | assets/4adb2b1aa4af5c1b41e3333aec0ab9229f5d0069f987dce87512a176bfbd3945.pdf | 4adb2b1aa4af5c1b41e3333aec0ab9229f5d0069f987dce87512a176bfbd3945 | arxiv:2608.17531 | formula | 67 | {"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":[275.44,238.46,58.87,33.1],"bbox_pdf":[275.44,520.45,334.31,553.54],"fragments":[{"bbox_pdf":[275.44,520.45,334.31,553.54],"words":[17516,17517,17518,17519,17520]}],"html":null,"kind":"paragraph","latex":"p_{I}:=\\sum_{\\ell\\in I_{n}}p_{\\ell}","level":null,"list_depth":null,"match":{"src_placed":1.0,... | CC-BY-4.0 | assets/4adb2b1aa4af5c1b41e3333aec0ab9229f5d0069f987dce87512a176bfbd3945.pdf | 4adb2b1aa4af5c1b41e3333aec0ab9229f5d0069f987dce87512a176bfbd3945 | arxiv:2608.17531 | formula | 67 | {"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":[234.75,317.41,132.46,44.06],"bbox_pdf":[234.75,430.53,367.2,474.59],"fragments":[{"bbox_pdf":[234.75,430.53,367.2,474.59],"words":[17529,17530,17531,17532,17533,17534,17535,17536,17537,17538,17539,17540,17541,17542,17543,17545,17546,17547,17548,17549,17550]}],"html":null,"kind":"paragraph","latex":"\\... | CC-BY-4.0 | assets/4adb2b1aa4af5c1b41e3333aec0ab9229f5d0069f987dce87512a176bfbd3945.pdf | 4adb2b1aa4af5c1b41e3333aec0ab9229f5d0069f987dce87512a176bfbd3945 | arxiv:2608.17531 | formula | 67 | {"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":[238.97,428.57,132.31,28.24],"bbox_pdf":[238.97,335.18,371.28,363.43],"fragments":[{"bbox_pdf":[238.97,335.18,371.28,363.43],"words":[17563,17564,17565,17566,17567,17568,17569,17570,17571,17572,17573,17574,17575]}],"html":null,"kind":"paragraph","latex":"p_{\\ell}-p_{\\ell+1}=\\frac{\\mathbb{P}(T=\\ell... | CC-BY-4.0 | assets/4adb2b1aa4af5c1b41e3333aec0ab9229f5d0069f987dce87512a176bfbd3945.pdf | 4adb2b1aa4af5c1b41e3333aec0ab9229f5d0069f987dce87512a176bfbd3945 | arxiv:2608.17531 | formula | 67 | {"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":[185.23,583.79,231.48,33.22],"bbox_pdf":[185.23,174.99,416.72,208.21],"fragments":[{"bbox_pdf":[185.23,174.99,416.72,208.21],"words":[17624,17625,17626,17627,17628,17629,17630,17631,17632,17633,17634,17635,17636,17637,17639,17640,17641,17642,17643]}],"html":null,"kind":"paragraph","latex":"\\sum_{\\ell... | CC-BY-4.0 | assets/4adb2b1aa4af5c1b41e3333aec0ab9229f5d0069f987dce87512a176bfbd3945.pdf | 4adb2b1aa4af5c1b41e3333aec0ab9229f5d0069f987dce87512a176bfbd3945 | arxiv:2608.17531 | formula | 67 | {"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/07660a2d9932dc0f1c3d115b26c2be247f7b03f73dc18175f4aa70c76d8431a0.pdf | 07660a2d9932dc0f1c3d115b26c2be247f7b03f73dc18175f4aa70c76d8431a0 | arxiv:2608.17531 | page | 72 | {"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":[180.82,95.87,240.77,23.0],"bbox_pdf":[180.82,673.13,421.6,696.13],"fragments":[{"bbox_pdf":[180.82,673.13,421.6,696.13],"words":[18572,18574,18575,18576,18577,18578,18579,18580,18581,18582,18583,18584,18585,18586,18587]}],"html":null,"kind":"paragraph","latex":"t_{\\textsc{mix~{}}}^{\\textsc{Snake~{}}... | CC-BY-4.0 | assets/07660a2d9932dc0f1c3d115b26c2be247f7b03f73dc18175f4aa70c76d8431a0.pdf | 07660a2d9932dc0f1c3d115b26c2be247f7b03f73dc18175f4aa70c76d8431a0 | arxiv:2608.17531 | formula | 72 | {"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":"2608.17541","authors":"Adrian Friday, Fieke Jansen, Gauthier Roussilhe, Srinjoy Mitra","title":"Too cheap to matter: over abundant microchips, and what we can learn from them","url":"https://arxiv.org/abs/2608.17541v1","vers... | CC-BY-4.0 | assets/4e57579fd03df612ac1bbef6898ddedb0d876407c3be4b07ad86bb5e3717bc87.pdf | 4e57579fd03df612ac1bbef6898ddedb0d876407c3be4b07ad86bb5e3717bc87 | arxiv:2608.17541 | page | 4 | {"arxiv_id":"2608.17541","authors":"Adrian Friday, Fieke Jansen, Gauthier Roussilhe, Srinjoy Mitra","title":"Too cheap to matter: over abundant microchips, and what we can learn from them","url":"https://arxiv.org/abs/2608.17541v1","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":"2608.17548","authors":"Shunsuke Sengoku and Haruki Watanabe","title":"Absence of nontrivial local conserved quantities in a class of $U(1)$-symmetric spin-1 chains","url":"https://arxiv.org/abs/2608.17548v1","version":1},"bl... | CC-BY-4.0 | assets/601f31d3b0aea44dcd3475c62788ffe46b51758b0e6fd5366f6a68dd850f64d7.pdf | 601f31d3b0aea44dcd3475c62788ffe46b51758b0e6fd5366f6a68dd850f64d7 | arxiv:2608.17548 | page | 2 | {"arxiv_id":"2608.17548","authors":"Shunsuke Sengoku and Haruki Watanabe","title":"Absence of nontrivial local conserved quantities in a class of $U(1)$-symmetric spin-1 chains","url":"https://arxiv.org/abs/2608.17548v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[60.07,233.75,239.01,37.67],"bbox_pdf":[60.07,520.58,299.08,558.25],"fragments":[{"bbox_pdf":[60.07,520.58,299.08,558.25],"words":[943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,981,982,983,984,985,986,... | CC-BY-4.0 | assets/601f31d3b0aea44dcd3475c62788ffe46b51758b0e6fd5366f6a68dd850f64d7.pdf | 601f31d3b0aea44dcd3475c62788ffe46b51758b0e6fd5366f6a68dd850f64d7 | arxiv:2608.17548 | formula | 2 | {"arxiv_id":"2608.17548","authors":"Shunsuke Sengoku and Haruki Watanabe","title":"Absence of nontrivial local conserved quantities in a class of $U(1)$-symmetric spin-1 chains","url":"https://arxiv.org/abs/2608.17548v1","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":"2608.17549","authors":"Tomasz Kania and Jerzy K\\k{a}kol","title":"Pointwise function spaces over compacta are not weak Banach spaces","url":"https://arxiv.org/abs/2608.17549v1","version":1},"blocks":[{"bbox":[252.26,73.0,98... | CC-BY-4.0 | assets/755ef500b44348d3328e98915ef344244b57321d1eafa7cf018cbe16af29511b.pdf | 755ef500b44348d3328e98915ef344244b57321d1eafa7cf018cbe16af29511b | arxiv:2608.17549 | page | 2 | {"arxiv_id":"2608.17549","authors":"Tomasz Kania and Jerzy K\\k{a}kol","title":"Pointwise function spaces over compacta are not weak Banach spaces","url":"https://arxiv.org/abs/2608.17549v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[265.1,125.84,72.8,14.26],"bbox_pdf":[265.1,701.79,337.9,716.05],"fragments":[{"bbox_pdf":[265.1,701.79,337.9,716.05],"words":[542,544,545]}],"html":null,"kind":"paragraph","latex":"C_{p}(K)\\not\\cong C_{w}(L).","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"order":3,"role"... | CC-BY-4.0 | assets/755ef500b44348d3328e98915ef344244b57321d1eafa7cf018cbe16af29511b.pdf | 755ef500b44348d3328e98915ef344244b57321d1eafa7cf018cbe16af29511b | arxiv:2608.17549 | formula | 2 | {"arxiv_id":"2608.17549","authors":"Tomasz Kania and Jerzy K\\k{a}kol","title":"Pointwise function spaces over compacta are not weak Banach spaces","url":"https://arxiv.org/abs/2608.17549v1","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":"2608.17549","authors":"Tomasz Kania and Jerzy K\\k{a}kol","title":"Pointwise function spaces over compacta are not weak Banach spaces","url":"https://arxiv.org/abs/2608.17549v1","version":1},"blocks":[{"bbox":[252.26,73.0,98... | CC-BY-4.0 | assets/049c77d163a3a936979a9b76fb199e73195a60197ebd32b75f00c697b3838a4d.pdf | 049c77d163a3a936979a9b76fb199e73195a60197ebd32b75f00c697b3838a4d | arxiv:2608.17549 | page | 4 | {"arxiv_id":"2608.17549","authors":"Tomasz Kania and Jerzy K\\k{a}kol","title":"Pointwise function spaces over compacta are not weak Banach spaces","url":"https://arxiv.org/abs/2608.17549v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[124.59,73.7,370... | CC-BY-4.0 | assets/6d4233c2b536aa7e79705ef0e3a69fecbdf0e62b53eb09bc5e7873f46bc9bccf.pdf | 6d4233c2b536aa7e79705ef0e3a69fecbdf0e62b53eb09bc5e7873f46bc9bccf | arxiv:2608.17620 | page | 2 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[100.07,72.66,23... | CC-BY-4.0 | assets/e51aa1cc4a7e1c88463be4e2637ae7b8b9ff60f1c48d4fc195c0548d7ece6521.pdf | e51aa1cc4a7e1c88463be4e2637ae7b8b9ff60f1c48d4fc195c0548d7ece6521 | arxiv:2608.17620 | page | 7 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[124.59,73.7,370... | CC-BY-4.0 | assets/219f973de97d9bdbd6f83b0a64066811d01a7850e0b8c3c45f06e5a40a34b2e7.pdf | 219f973de97d9bdbd6f83b0a64066811d01a7850e0b8c3c45f06e5a40a34b2e7 | arxiv:2608.17620 | page | 8 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[100.07,73.66,49... | CC-BY-4.0 | assets/45905d00b63ace1ada77b96bad31572698365bccc49a8ab972c36eb1ea7ac6b9.pdf | 45905d00b63ace1ada77b96bad31572698365bccc49a8ab972c36eb1ea7ac6b9 | arxiv:2608.17620 | page | 9 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[124.6,73.7,370.... | CC-BY-4.0 | assets/6995f3159687a87e640a50dadea320e7d487d168b1ff773620810c71c242e2f9.pdf | 6995f3159687a87e640a50dadea320e7d487d168b1ff773620810c71c242e2f9 | arxiv:2608.17620 | page | 10 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[100.07,36.0,370... | CC-BY-4.0 | assets/306b245a728925cf2b4e7b63ab06eaffee45292df22ad41ea1a9e57bd1d0548f.pdf | 306b245a728925cf2b4e7b63ab06eaffee45292df22ad41ea1a9e57bd1d0548f | arxiv:2608.17620 | page | 11 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[124.59,36.0,370... | CC-BY-4.0 | assets/dc32f4a9f486913f27b61b698ae5adf15898a4c592585e719dd99a03671a7686.pdf | dc32f4a9f486913f27b61b698ae5adf15898a4c592585e719dd99a03671a7686 | arxiv:2608.17620 | page | 12 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[100.07,73.7,370... | CC-BY-4.0 | assets/254d05730912c7b7be9d36f437ea785a1e898ccedcf83a7b58bce9d9b5734743.pdf | 254d05730912c7b7be9d36f437ea785a1e898ccedcf83a7b58bce9d9b5734743 | arxiv:2608.17620 | page | 13 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[124.59,73.7,370... | CC-BY-4.0 | assets/31fedf91100907c95b6037e663c47280ddedb0ee7d7beece5d489d45a57e16c8.pdf | 31fedf91100907c95b6037e663c47280ddedb0ee7d7beece5d489d45a57e16c8 | arxiv:2608.17620 | page | 14 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[100.07,73.7,370... | CC-BY-4.0 | assets/62f2adb6ebf593415ebfa89249e2cb322434fa9c58640b17d1dc190e885382b3.pdf | 62f2adb6ebf593415ebfa89249e2cb322434fa9c58640b17d1dc190e885382b3 | arxiv:2608.17620 | page | 21 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[124.59,73.7,370... | CC-BY-4.0 | assets/117584a08d70fd082f72cd047a9b997d48c92963bacd6ff6a0a5e161d08846f4.pdf | 117584a08d70fd082f72cd047a9b997d48c92963bacd6ff6a0a5e161d08846f4 | arxiv:2608.17620 | page | 24 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[100.07,36.0,370... | CC-BY-4.0 | assets/e93eccf20c5adf0baded1be8bc84725539725a64f38ec4ae6a25cbcd16a0b09b.pdf | e93eccf20c5adf0baded1be8bc84725539725a64f38ec4ae6a25cbcd16a0b09b | arxiv:2608.17620 | page | 25 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[100.07,36.0,352... | CC-BY-4.0 | assets/20779f3e60c7fa906b44bb013ec55bf9470c42412e6d8112c52ba94456f02453.pdf | 20779f3e60c7fa906b44bb013ec55bf9470c42412e6d8112c52ba94456f02453 | arxiv:2608.17620 | page | 29 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[124.59,36.0,370... | CC-BY-4.0 | assets/0928a9cda4b64b9cfe7b5be43ec27bbfbd8bae97c6a430057b66183d423804eb.pdf | 0928a9cda4b64b9cfe7b5be43ec27bbfbd8bae97c6a430057b66183d423804eb | arxiv:2608.17620 | page | 30 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[100.07,36.0,356... | CC-BY-4.0 | assets/d34eed0e362805e9a573fb05f2a8a7d737552bd9d011600744f3e3f7f4ee9e79.pdf | d34eed0e362805e9a573fb05f2a8a7d737552bd9d011600744f3e3f7f4ee9e79 | arxiv:2608.17620 | page | 31 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[124.59,36.0,358... | CC-BY-4.0 | assets/85c091366676400a919b8f72bac96e36c3a11ee9799a88c423d84983d967fce7.pdf | 85c091366676400a919b8f72bac96e36c3a11ee9799a88c423d84983d967fce7 | arxiv:2608.17620 | page | 32 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[124.59,36.0,364... | CC-BY-4.0 | assets/cd1eb79a00fbf53eb244c05d91563088624e9e4c0a2d9a77f894ecf66d3ec2a4.pdf | cd1eb79a00fbf53eb244c05d91563088624e9e4c0a2d9a77f894ecf66d3ec2a4 | arxiv:2608.17620 | page | 34 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[100.07,36.0,370... | CC-BY-4.0 | assets/d656babe54216ee84c4329e2d36f75749de694c63e27ca930a46234f74eb7844.pdf | d656babe54216ee84c4329e2d36f75749de694c63e27ca930a46234f74eb7844 | arxiv:2608.17620 | page | 35 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[124.59,36.0,363... | CC-BY-4.0 | assets/36021cb86b6a701b4d094912b563257aaf2cbff99ae765610e2de90dadf026bc.pdf | 36021cb86b6a701b4d094912b563257aaf2cbff99ae765610e2de90dadf026bc | arxiv:2608.17620 | page | 36 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","version":1},"blocks":[{"bbox":[100.07,36.0,365... | CC-BY-4.0 | assets/161d27544d093c7d2d5cc968d8d359480c04e5549b3c3c1a7956172166b2fd0d.pdf | 161d27544d093c7d2d5cc968d8d359480c04e5549b3c3c1a7956172166b2fd0d | arxiv:2608.17620 | page | 37 | {"arxiv_id":"2608.17620","authors":"Philipp Bomatter, Henry Gouk","title":"OOD Detection for EEG-based Machine Learning in High-Risk Environments","url":"https://arxiv.org/abs/2608.17620v1","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":"2608.17627","authors":"Jiali Chen, Chaoxi Cui, Zhi-Ming Yu, Wei Jiang, and Yugui Yao","title":"Quantized Spin Hall Effect in Three-Dimensional Nodal-Ring Semimetal: Geometric Scaling and Symmetry-Engineered Spin Response","u... | CC-BY-4.0 | assets/7558ff727b63fbc50a919e13ad6b03ce3d4e52e09bfb8c7e86341854e310f484.pdf | 7558ff727b63fbc50a919e13ad6b03ce3d4e52e09bfb8c7e86341854e310f484 | arxiv:2608.17627 | page | 3 | {"arxiv_id":"2608.17627","authors":"Jiali Chen, Chaoxi Cui, Zhi-Ming Yu, Wei Jiang, and Yugui Yao","title":"Quantized Spin Hall Effect in Three-Dimensional Nodal-Ring Semimetal: Geometric Scaling and Symmetry-Engineered Spin Response","url":"https://arxiv.org/abs/2608.17627v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[132.42,477.58,166.66,23.54],"bbox_pdf":[132.42,290.88,299.08,314.42],"fragments":[{"bbox_pdf":[132.42,290.88,299.08,314.42],"words":[1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831]}],"html":null,"kind":"paragraph","latex":"\\sigma_{\\alpha\\beta}^{S,3D}=\\sigma_{0}^{S,2D}\\cdot\\frac{\\pi R}{2... | CC-BY-4.0 | assets/7558ff727b63fbc50a919e13ad6b03ce3d4e52e09bfb8c7e86341854e310f484.pdf | 7558ff727b63fbc50a919e13ad6b03ce3d4e52e09bfb8c7e86341854e310f484 | arxiv:2608.17627 | formula | 3 | {"arxiv_id":"2608.17627","authors":"Jiali Chen, Chaoxi Cui, Zhi-Ming Yu, Wei Jiang, and Yugui Yao","title":"Quantized Spin Hall Effect in Three-Dimensional Nodal-Ring Semimetal: Geometric Scaling and Symmetry-Engineered Spin Response","url":"https://arxiv.org/abs/2608.17627v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[323.48,515.89,238.61,57.97],"bbox_pdf":[323.48,218.14,562.1,276.11],"fragments":[{"bbox_pdf":[323.48,218.14,562.1,276.11],"words":[2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2... | CC-BY-4.0 | assets/7558ff727b63fbc50a919e13ad6b03ce3d4e52e09bfb8c7e86341854e310f484.pdf | 7558ff727b63fbc50a919e13ad6b03ce3d4e52e09bfb8c7e86341854e310f484 | arxiv:2608.17627 | formula | 3 | {"arxiv_id":"2608.17627","authors":"Jiali Chen, Chaoxi Cui, Zhi-Ming Yu, Wei Jiang, and Yugui Yao","title":"Quantized Spin Hall Effect in Three-Dimensional Nodal-Ring Semimetal: Geometric Scaling and Symmetry-Engineered Spin Response","url":"https://arxiv.org/abs/2608.17627v1","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":"2608.17627","authors":"Jiali Chen, Chaoxi Cui, Zhi-Ming Yu, Wei Jiang, and Yugui Yao","title":"Quantized Spin Hall Effect in Three-Dimensional Nodal-Ring Semimetal: Geometric Scaling and Symmetry-Engineered Spin Response","u... | CC-BY-4.0 | assets/1ce28f3208d3206fc45f84910e5e547ae4987c30dfc56ab795afd6936b9f6d06.pdf | 1ce28f3208d3206fc45f84910e5e547ae4987c30dfc56ab795afd6936b9f6d06 | arxiv:2608.17627 | page | 4 | {"arxiv_id":"2608.17627","authors":"Jiali Chen, Chaoxi Cui, Zhi-Ming Yu, Wei Jiang, and Yugui Yao","title":"Quantized Spin Hall Effect in Three-Dimensional Nodal-Ring Semimetal: Geometric Scaling and Symmetry-Engineered Spin Response","url":"https://arxiv.org/abs/2608.17627v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[122.28,64.9,176.81,41.01],"bbox_pdf":[122.28,686.08,299.09,727.1],"fragments":[{"bbox_pdf":[122.28,686.08,299.09,727.1],"words":[2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348]}],"html":null,"kind":"paragraph","latex":"\\begin{aligned... | CC-BY-4.0 | assets/1ce28f3208d3206fc45f84910e5e547ae4987c30dfc56ab795afd6936b9f6d06.pdf | 1ce28f3208d3206fc45f84910e5e547ae4987c30dfc56ab795afd6936b9f6d06 | arxiv:2608.17627 | formula | 4 | {"arxiv_id":"2608.17627","authors":"Jiali Chen, Chaoxi Cui, Zhi-Ming Yu, Wei Jiang, and Yugui Yao","title":"Quantized Spin Hall Effect in Three-Dimensional Nodal-Ring Semimetal: Geometric Scaling and Symmetry-Engineered Spin Response","url":"https://arxiv.org/abs/2608.17627v1","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":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/b17ca55025b1b31378e7d6bf3dc5fcbbac83271194ade1d77d8098f98474d213.pdf | b17ca55025b1b31378e7d6bf3dc5fcbbac83271194ade1d77d8098f98474d213 | arxiv:2608.17663 | page | 2 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","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":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/fd896f55f00737fcfa67f0bfed4ec552c1f555eec066237158b573e2b6da2c72.pdf | fd896f55f00737fcfa67f0bfed4ec552c1f555eec066237158b573e2b6da2c72 | arxiv:2608.17663 | page | 5 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[152.89,198.98,292.47,83.78],"bbox_pdf":[152.89,509.24,445.37,593.02],"fragments":[{"bbox_pdf":[152.89,509.24,445.37,593.02],"words":[2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2263,2264,2265,2266,2268,2269... | CC-BY-4.0 | assets/fd896f55f00737fcfa67f0bfed4ec552c1f555eec066237158b573e2b6da2c72.pdf | fd896f55f00737fcfa67f0bfed4ec552c1f555eec066237158b573e2b6da2c72 | arxiv:2608.17663 | formula | 5 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[139.72,305.65,332.57,14.11],"bbox_pdf":[139.72,472.24,472.28,486.35],"fragments":[{"bbox_pdf":[139.72,472.24,472.28,486.35],"words":[2303,2305,2306,2307,2308,2309,2310,2311,2312,2313,2315,2316,2317,2318,2319,2320,2321,2322]}],"html":null,"kind":"paragraph","latex":"C_{\\varphi}:H^{p}\\to H^{p}\\text{ ... | CC-BY-4.0 | assets/fd896f55f00737fcfa67f0bfed4ec552c1f555eec066237158b573e2b6da2c72.pdf | fd896f55f00737fcfa67f0bfed4ec552c1f555eec066237158b573e2b6da2c72 | arxiv:2608.17663 | formula | 5 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[140.73,487.69,315.38,12.69],"bbox_pdf":[140.73,291.63,456.11,304.31],"fragments":[{"bbox_pdf":[140.73,291.63,456.11,304.31],"words":[2520,2521,2522,2523,2525,2526,2527,2528,2530,2531,2532,2533,2535,2536,2537,2538]}],"html":null,"kind":"paragraph","latex":"T\\in\\mathcal{S}_{\\ell^{r}}(X,Y)\\Longleftri... | CC-BY-4.0 | assets/fd896f55f00737fcfa67f0bfed4ec552c1f555eec066237158b573e2b6da2c72.pdf | fd896f55f00737fcfa67f0bfed4ec552c1f555eec066237158b573e2b6da2c72 | arxiv:2608.17663 | formula | 5 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[149.15,524.59,313.7,14.84],"bbox_pdf":[149.15,252.57,462.85,267.41],"fragments":[{"bbox_pdf":[149.15,252.57,462.85,267.41],"words":[2552,2553,2554,2555,2556,2557,2558,2559,2560,2562,2563,2564,2565,2567,2568,2569,2570,2572,2573,2574,2575,2576,2577,2579,2580]}],"html":null,"kind":"paragraph","latex":"\\... | CC-BY-4.0 | assets/fd896f55f00737fcfa67f0bfed4ec552c1f555eec066237158b573e2b6da2c72.pdf | fd896f55f00737fcfa67f0bfed4ec552c1f555eec066237158b573e2b6da2c72 | arxiv:2608.17663 | formula | 5 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[161.31,582.42,289.38,111.36],"bbox_pdf":[161.31,98.22,450.69,209.58],"fragments":[{"bbox_pdf":[161.31,98.22,450.69,209.58],"words":[2628,2629,2630,2631,2632,2633,2634,2635,2636,2638,2639,2640,2641,2642,2643,2646,2648,2649,2650,2651,2652,2653,2654,2655,2657,2658,2659,2660,2661,2662,2664,2665,2666,2667,... | CC-BY-4.0 | assets/fd896f55f00737fcfa67f0bfed4ec552c1f555eec066237158b573e2b6da2c72.pdf | fd896f55f00737fcfa67f0bfed4ec552c1f555eec066237158b573e2b6da2c72 | arxiv:2608.17663 | formula | 5 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","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":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/2a4b6bb8788a1151560bad14d55bef163fce5d9f2ca271d2483762a8cc2c9046.pdf | 2a4b6bb8788a1151560bad14d55bef163fce5d9f2ca271d2483762a8cc2c9046 | arxiv:2608.17663 | page | 7 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","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":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/e892ebc9e2b1a3a3c31c7d990a89aaf35e04e1d8000d5221bf52fd98de874579.pdf | e892ebc9e2b1a3a3c31c7d990a89aaf35e04e1d8000d5221bf52fd98de874579 | arxiv:2608.17663 | page | 8 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[178.72,645.59,254.55,10.91],"bbox_pdf":[178.72,135.5,433.27,146.41],"fragments":[{"bbox_pdf":[178.72,135.5,433.27,146.41],"words":[4360,4361,4362,4363,4364,4365,4366,4367,4368,4369,4370,4371,4372,4373,4374,4375,4376,4377,4378]}],"html":null,"kind":"paragraph","latex":"s\\leq r\\leq 2\\quad(1\\leq s\\l... | CC-BY-4.0 | assets/e892ebc9e2b1a3a3c31c7d990a89aaf35e04e1d8000d5221bf52fd98de874579.pdf | e892ebc9e2b1a3a3c31c7d990a89aaf35e04e1d8000d5221bf52fd98de874579 | arxiv:2608.17663 | formula | 8 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","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":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e.pdf | b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e | arxiv:2608.17663 | page | 34 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[202.31,108.98,207.38,30.5],"bbox_pdf":[202.31,652.52,409.69,683.02],"fragments":[{"bbox_pdf":[202.31,652.52,409.69,683.02],"words":[15797,15798,15799,15800,15801,15802,15803,15804,15805,15806,15807,15808,15809,15810,15811,15812,15813,15814,15815,15822,15823,15824,15825,15826,15827,15828]}],"html":null... | CC-BY-4.0 | assets/b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e.pdf | b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e | arxiv:2608.17663 | formula | 34 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[201.51,155.28,208.99,34.21],"bbox_pdf":[201.51,602.51,410.5,636.72],"fragments":[{"bbox_pdf":[201.51,602.51,410.5,636.72],"words":[15829,15830,15831,15832,15833,15834,15835,15836,15837,15838,15839,15840,15841,15842,15843,15844,15845,15846,15847,15848,15849,15850,15851,15852,15853,15854,15855,15856,158... | CC-BY-4.0 | assets/b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e.pdf | b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e | arxiv:2608.17663 | formula | 34 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[233.27,232.23,289.29,13.54],"bbox_pdf":[233.27,546.23,522.57,559.77],"fragments":[{"bbox_pdf":[233.27,546.23,522.57,559.77],"words":[15884,15885,15886,15887,15888,15889,15890,15891]}],"html":null,"kind":"paragraph","latex":"E_{\\varphi_{\\alpha}}=\\{1,-1\\},\\qquad(\\mu_{\\alpha})_{\\mathbb{T}}=0,","l... | CC-BY-4.0 | assets/b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e.pdf | b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e | arxiv:2608.17663 | formula | 34 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[144.86,288.07,322.27,20.38],"bbox_pdf":[144.86,483.55,467.13,503.93],"fragments":[{"bbox_pdf":[144.86,483.55,467.13,503.93],"words":[15909,15910,15911,15912,15913,15914,15916,15917,15918,15919,15920,15921,15922,15923,15924,15925,15926]}],"html":null,"kind":"paragraph","latex":"S(\\xi,h)=\\{z\\in\\math... | CC-BY-4.0 | assets/b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e.pdf | b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e | arxiv:2608.17663 | formula | 34 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[231.62,349.39,148.76,15.11],"bbox_pdf":[231.62,427.51,380.38,442.61],"fragments":[{"bbox_pdf":[231.62,427.51,380.38,442.61],"words":[15953,15954,15955,15956,15957,15958,15959,15960,15961,15962]}],"html":null,"kind":"paragraph","latex":"\\rho_{\\varphi_{\\alpha}}(h)\\asymp_{\\alpha}h^{1/\\alpha},\\qqua... | CC-BY-4.0 | assets/b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e.pdf | b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e | arxiv:2608.17663 | formula | 34 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[208.5,392.55,314.06,12.69],"bbox_pdf":[208.5,386.77,522.56,399.45],"fragments":[{"bbox_pdf":[208.5,386.77,522.56,399.45],"words":[15973,15974,15975,15976,15977,15978,15979,15980,15981]}],"html":null,"kind":"paragraph","latex":"S(I)\\subset S(\\xi_{I},c|I|),\\qquad S(\\xi,h)\\subset S(I_{\\xi,ch}),","l... | CC-BY-4.0 | assets/b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e.pdf | b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e | arxiv:2608.17663 | formula | 34 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[204.72,446.82,202.57,15.11],"bbox_pdf":[204.72,330.07,407.28,345.18],"fragments":[{"bbox_pdf":[204.72,330.07,407.28,345.18],"words":[16019,16020,16021,16022,16023,16024,16025,16026,16027,16028]}],"html":null,"kind":"paragraph","latex":"(\\mu_{\\alpha})_{\\mathbb{D}}(S(I))\\leq\\rho_{\\varphi_{\\alpha}... | CC-BY-4.0 | assets/b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e.pdf | b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e | arxiv:2608.17663 | formula | 34 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[209.76,515.52,191.28,66.64],"bbox_pdf":[209.76,209.83,401.04,276.48],"fragments":[{"bbox_pdf":[209.76,209.83,401.04,276.48],"words":[16072,16073,16074,16075,16076,16077,16078,16079,16080,16081,16082,16083,16084,16085,16086,16087,16088,16089,16090]}],"html":null,"kind":"paragraph","latex":"\\begin{alig... | CC-BY-4.0 | assets/b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e.pdf | b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e | arxiv:2608.17663 | formula | 34 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[164.89,680.31,274.17,14.25],"bbox_pdf":[164.89,97.43,439.06,111.69],"fragments":[{"bbox_pdf":[164.89,97.43,439.06,111.69],"words":[16178,16179,16180,16181,16182,16184,16185,16186,16187,16188,16189,16191,16192,16193,16194,16195,16196,16198,16199,16200,16201,16202,16203]}],"html":null,"kind":"paragraph"... | CC-BY-4.0 | assets/b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e.pdf | b73e8df5d6fc3baa01928681d67b5383b8ee2a6b19e0f765df9e7216e329850e | arxiv:2608.17663 | formula | 34 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","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":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1},"blocks":[{"... | CC-BY-4.0 | assets/b9529e2209011221365ab5281b942d6a126721b264066b3971ed1cdfe0c7665c.pdf | b9529e2209011221365ab5281b942d6a126721b264066b3971ed1cdfe0c7665c | arxiv:2608.17663 | page | 36 | {"arxiv_id":"2608.17663","authors":"Yecheng Shi and Songxiao Li","title":"Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces","url":"https://arxiv.org/abs/2608.17663v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.