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Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[145.84,353.14,291.7,59.76],"bbox_pdf":[145.84,428.99,437.53,488.75],"fragments":[{"bbox_pdf":[145.84,428.99,437.53,488.75],"words":[17034,17035,17036,17037,17038,17039,17040,17041,17042,17043,17044,17045,17046,17047,17048,17049,17050,17051,17052,17053,17054,17055,17056,17057,17058,17059,17060,17061,17... | CC-BY-4.0 | assets/cdd5558acfb3f21bec0e9c523d29245a2e48b63cd9400aa2f7a459036a6a1190.pdf | cdd5558acfb3f21bec0e9c523d29245a2e48b63cd9400aa2f7a459036a6a1190 | arxiv:2608.13348 | formula | 37 | {"arxiv_id":"2608.13348","authors":"Nilasis Chaudhuri and Milan Pokorn\\'{y} and Ewelina Zatorska","title":"Dissipative measure-valued solutions and weak--strong uniqueness for a viscous Baer--Nunziato system with pressure relaxation","url":"https://arxiv.org/abs/2608.13348v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[259.11,455.88,65.15,11.46],"bbox_pdf":[259.11,374.55,324.26,386.01],"fragments":[{"bbox_pdf":[259.11,374.55,324.26,386.01],"words":[17096,17097,17098]}],"html":null,"kind":"paragraph","latex":"\\displaystyle 2\\mu A_{\\rm dev}+\\xi A_{\\rm tr}.","level":null,"list_depth":null,"match":{"src_placed":1.0... | CC-BY-4.0 | assets/cdd5558acfb3f21bec0e9c523d29245a2e48b63cd9400aa2f7a459036a6a1190.pdf | cdd5558acfb3f21bec0e9c523d29245a2e48b63cd9400aa2f7a459036a6a1190 | arxiv:2608.13348 | formula | 37 | {"arxiv_id":"2608.13348","authors":"Nilasis Chaudhuri and Milan Pokorn\\'{y} and Ewelina Zatorska","title":"Dissipative measure-valued solutions and weak--strong uniqueness for a viscous Baer--Nunziato system with pressure relaxation","url":"https://arxiv.org/abs/2608.13348v1","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":"2608.13348","authors":"Nilasis Chaudhuri and Milan Pokorn\\'{y} and Ewelina Zatorska","title":"Dissipative measure-valued solutions and weak--strong uniqueness for a viscous Baer--Nunziato system with pressure relaxation","u... | CC-BY-4.0 | assets/bd47d2253671d567236b577ae2f6fc775233ddb63dcb3d91c471049e908c6137.pdf | bd47d2253671d567236b577ae2f6fc775233ddb63dcb3d91c471049e908c6137 | arxiv:2608.13348 | page | 38 | {"arxiv_id":"2608.13348","authors":"Nilasis Chaudhuri and Milan Pokorn\\'{y} and Ewelina Zatorska","title":"Dissipative measure-valued solutions and weak--strong uniqueness for a viscous Baer--Nunziato system with pressure relaxation","url":"https://arxiv.org/abs/2608.13348v1","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":"2608.13348","authors":"Nilasis Chaudhuri and Milan Pokorn\\'{y} and Ewelina Zatorska","title":"Dissipative measure-valued solutions and weak--strong uniqueness for a viscous Baer--Nunziato system with pressure relaxation","u... | CC-BY-4.0 | assets/54ab0660618b98c4a908b4e880535f021c71247d21761195868a53ffa46582d8.pdf | 54ab0660618b98c4a908b4e880535f021c71247d21761195868a53ffa46582d8 | arxiv:2608.13348 | page | 39 | {"arxiv_id":"2608.13348","authors":"Nilasis Chaudhuri and Milan Pokorn\\'{y} and Ewelina Zatorska","title":"Dissipative measure-valued solutions and weak--strong uniqueness for a viscous Baer--Nunziato system with pressure relaxation","url":"https://arxiv.org/abs/2608.13348v1","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":"2608.13348","authors":"Nilasis Chaudhuri and Milan Pokorn\\'{y} and Ewelina Zatorska","title":"Dissipative measure-valued solutions and weak--strong uniqueness for a viscous Baer--Nunziato system with pressure relaxation","u... | CC-BY-4.0 | assets/a7b3b87308c0270b45ba6ec3f87d8dce65f830f3410e50c05ce5de826962a962.pdf | a7b3b87308c0270b45ba6ec3f87d8dce65f830f3410e50c05ce5de826962a962 | arxiv:2608.13348 | page | 40 | {"arxiv_id":"2608.13348","authors":"Nilasis Chaudhuri and Milan Pokorn\\'{y} and Ewelina Zatorska","title":"Dissipative measure-valued solutions and weak--strong uniqueness for a viscous Baer--Nunziato system with pressure relaxation","url":"https://arxiv.org/abs/2608.13348v1","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":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1},"blocks":[{"bbox":[275.54,94.13,60.92,7.97],"bbox_pd... | CC-BY-4.0 | assets/77a44435247aaf1f488cecb4201771f715cae835cbd8ab74f996e66b2f23747b.pdf | 77a44435247aaf1f488cecb4201771f715cae835cbd8ab74f996e66b2f23747b | arxiv:2608.13388 | page | 6 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[261.66,178.55,88.67,12.48],"bbox_pdf":[261.66,600.98,350.34,613.45],"fragments":[{"bbox_pdf":[261.66,600.98,350.34,613.45],"words":[2024,2025,2026,2027,2029,2030,2031]}],"html":null,"kind":"paragraph","latex":"A=\\{M^{k}:k\\geq 1\\}.","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified"... | CC-BY-4.0 | assets/77a44435247aaf1f488cecb4201771f715cae835cbd8ab74f996e66b2f23747b.pdf | 77a44435247aaf1f488cecb4201771f715cae835cbd8ab74f996e66b2f23747b | arxiv:2608.13388 | formula | 6 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[239.41,262.68,133.17,12.6],"bbox_pdf":[239.41,516.72,372.59,529.32],"fragments":[{"bbox_pdf":[239.41,516.72,372.59,529.32],"words":[2084,2085,2086,2087,2088,2089,2090]}],"html":null,"kind":"paragraph","latex":"Z_{F}(a)=Z_{G}(a)\\qquad(a\\in A).","level":null,"list_depth":null,"match":{"src_placed":1.0... | CC-BY-4.0 | assets/77a44435247aaf1f488cecb4201771f715cae835cbd8ab74f996e66b2f23747b.pdf | 77a44435247aaf1f488cecb4201771f715cae835cbd8ab74f996e66b2f23747b | arxiv:2608.13388 | formula | 6 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[242.1,319.34,127.8,10.91],"bbox_pdf":[242.1,461.75,369.9,472.66],"fragments":[{"bbox_pdf":[242.1,461.75,369.9,472.66],"words":[2107,2108,2109,2110,2111,2112,2113]}],"html":null,"kind":"paragraph","latex":"a\\mid F(n)\\quad\\Longleftrightarrow\\quad a\\mid G(n).","level":null,"list_depth":null,"match":... | CC-BY-4.0 | assets/77a44435247aaf1f488cecb4201771f715cae835cbd8ab74f996e66b2f23747b.pdf | 77a44435247aaf1f488cecb4201771f715cae835cbd8ab74f996e66b2f23747b | arxiv:2608.13388 | formula | 6 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[237.04,453.71,137.91,12.6],"bbox_pdf":[237.04,325.69,374.96,338.29],"fragments":[{"bbox_pdf":[237.04,325.69,374.96,338.29],"words":[2209,2210,2211,2212,2213,2214,2215,2216]}],"html":null,"kind":"paragraph","latex":"Z_{F}(p)=Z_{G}(p)=\\{0\\bmod p\\},","level":null,"list_depth":null,"match":{"src_placed... | CC-BY-4.0 | assets/77a44435247aaf1f488cecb4201771f715cae835cbd8ab74f996e66b2f23747b.pdf | 77a44435247aaf1f488cecb4201771f715cae835cbd8ab74f996e66b2f23747b | arxiv:2608.13388 | formula | 6 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[163.16,502.47,285.68,14.16],"bbox_pdf":[163.16,275.36,448.84,289.53],"fragments":[{"bbox_pdf":[163.16,275.36,448.84,289.53],"words":[2237,2238,2239,2241,2242,2243,2244,2245,2247,2248,2250,2251,2252,2253,2254,2256,2257,2258,2259]}],"html":null,"kind":"paragraph","latex":"Z_{F}(p^{k})=\\{0\\bmod p^{k}\\... | CC-BY-4.0 | assets/77a44435247aaf1f488cecb4201771f715cae835cbd8ab74f996e66b2f23747b.pdf | 77a44435247aaf1f488cecb4201771f715cae835cbd8ab74f996e66b2f23747b | arxiv:2608.13388 | formula | 6 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[240.37,632.01,131.26,10.91],"bbox_pdf":[240.37,149.09,371.63,159.99],"fragments":[{"bbox_pdf":[240.37,149.09,371.63,159.99],"words":[2329,2330,2331,2333,2334,2335]}],"html":null,"kind":"paragraph","latex":"\\operatorname{fd}(Q)=\\gcd\\{Q(n):n\\in\\mathbb{Z}\\},","level":null,"list_depth":null,"match":... | CC-BY-4.0 | assets/77a44435247aaf1f488cecb4201771f715cae835cbd8ab74f996e66b2f23747b.pdf | 77a44435247aaf1f488cecb4201771f715cae835cbd8ab74f996e66b2f23747b | arxiv:2608.13388 | formula | 6 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","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":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1},"blocks":[{"bbox":[126.67,94.13,8.47,7.97],"bbox_pdf... | CC-BY-4.0 | assets/daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e.pdf | daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e | arxiv:2608.13388 | page | 10 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[227.58,160.03,156.84,12.55],"bbox_pdf":[227.58,619.42,384.42,631.97],"fragments":[{"bbox_pdf":[227.58,619.42,384.42,631.97],"words":[3485,3486,3487,3488,3489,3490,3491,3492,3493]}],"html":null,"kind":"paragraph","latex":"M_{t}\\mid H(u_{t}+M_{t}y)\\mid F(u_{t}+M_{t}y).","level":null,"list_depth":null,... | CC-BY-4.0 | assets/daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e.pdf | daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e | arxiv:2608.13388 | formula | 10 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[251.3,199.15,109.4,19.91],"bbox_pdf":[251.3,572.95,360.7,592.85],"fragments":[{"bbox_pdf":[251.3,572.95,360.7,592.85],"words":[3507,3508,3509,3510,3511,3512,3513,3514,3515,3516]}],"html":null,"kind":"paragraph","latex":"\\Delta_{t}=\\operatorname{fd}\\bigl{(}K(u_{t}+M_{t}\\,\\cdot)\\bigr{)}.","level":... | CC-BY-4.0 | assets/daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e.pdf | daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e | arxiv:2608.13388 | formula | 10 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[253.56,241.3,103.69,27.41],"bbox_pdf":[253.56,523.3,357.25,550.7],"fragments":[{"bbox_pdf":[253.56,523.3,357.25,550.7],"words":[3528,3529,3530,3531,3532,3533]}],"html":null,"kind":"paragraph","latex":"Q_{t}(y)=\\frac{K(u_{t}+M_{t}y)}{\\Delta_{t}}","level":null,"list_depth":null,"match":{"src_placed":1... | CC-BY-4.0 | assets/daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e.pdf | daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e | arxiv:2608.13388 | formula | 10 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[223.95,304.36,164.11,12.64],"bbox_pdf":[223.95,474.99,388.05,487.64],"fragments":[{"bbox_pdf":[223.95,474.99,388.05,487.64],"words":[3557,3559,3560,3561,3562,3563,3564]}],"html":null,"kind":"paragraph","latex":"Q_{t}(y)\\neq 0,\\qquad\\Omega(Q_{t}(y))\\leq R_{\\deg K}.","level":null,"list_depth":null,... | CC-BY-4.0 | assets/daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e.pdf | daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e | arxiv:2608.13388 | formula | 10 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[197.99,342.42,216.03,19.65],"bbox_pdf":[197.99,429.93,414.02,449.58],"fragments":[{"bbox_pdf":[197.99,429.93,414.02,449.58],"words":[3576,3577,3578,3579,3580,3581,3582,3583,3584,3585]}],"html":null,"kind":"paragraph","latex":"\\Omega(K(n))\\leq R_{\\deg K}+\\max_{1\\leq m\\leq C_{0}(H,K)}\\Omega(m)=:B... | CC-BY-4.0 | assets/daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e.pdf | daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e | arxiv:2608.13388 | formula | 10 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[125.4,385.21,294.66,14.16],"bbox_pdf":[125.4,392.62,420.06,406.79],"fragments":[{"bbox_pdf":[125.4,392.62,420.06,406.79],"words":[3591,3592,3593,3594,3595,3596,3597,3598,3599,3600,3601]}],"html":null,"kind":"paragraph","latex":"d_{A}(G_{j}(n))\\leq\\tau(|G_{j}(n)|)\\leq\\tau(|K(n)|)\\leq 2^{B}=:C.","l... | CC-BY-4.0 | assets/daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e.pdf | daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e | arxiv:2608.13388 | formula | 10 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[214.84,437.78,182.32,17.84],"bbox_pdf":[214.84,336.38,397.16,354.22],"fragments":[{"bbox_pdf":[214.84,336.38,397.16,354.22],"words":[3624,3625,3626,3627,3628,3629,3630,3631,3632]}],"html":null,"kind":"paragraph","latex":"d_{A}(F(n))\\geq|A|>C\\geq\\max_{j}d_{A}(G_{j}(n))","level":null,"list_depth":nul... | CC-BY-4.0 | assets/daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e.pdf | daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e | arxiv:2608.13388 | formula | 10 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[219.99,493.83,172.01,17.84],"bbox_pdf":[219.99,280.33,392.01,298.17],"fragments":[{"bbox_pdf":[219.99,280.33,392.01,298.17],"words":[3657,3658,3659,3660,3661,3662,3663,3664,3665]}],"html":null,"kind":"paragraph","latex":"d_{A}(F(n))-\\max_{j}d_{A}(G_{j}(n))\\geq t-C,","level":null,"list_depth":null,"m... | CC-BY-4.0 | assets/daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e.pdf | daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e | arxiv:2608.13388 | formula | 10 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[220.71,674.49,170.58,26.37],"bbox_pdf":[220.71,91.14,391.29,117.51],"fragments":[{"bbox_pdf":[220.71,91.14,391.29,117.51],"words":[3789,3790,3791,3792,3793,3794,3795,3796,3797,3798]}],"html":null,"kind":"paragraph","latex":"\\limsup_{n\\to\\infty}\\bigl{(}d_{A}(F(n))-d_{A}(G(n))\\bigr{)}=\\infty","lev... | CC-BY-4.0 | assets/daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e.pdf | daf573bc29e089aee1f707ff2afc8b27c6563845de2f91efa1f75e3663c0078e | arxiv:2608.13388 | formula | 10 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","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":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1},"blocks":[{"bbox":[199.95,94.13,212.11,7.97],"bbox_p... | CC-BY-4.0 | assets/6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3.pdf | 6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3 | arxiv:2608.13388 | page | 13 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[238.72,224.47,134.56,12.48],"bbox_pdf":[238.72,555.05,373.28,567.53],"fragments":[{"bbox_pdf":[238.72,555.05,373.28,567.53],"words":[4661,4662,4663,4664,4665,4666,4667,4668,4669,4670]}],"html":null,"kind":"paragraph","latex":"P(x)=(2x+1)(x^{2}+x+2)","level":null,"list_depth":null,"match":{"src_placed"... | CC-BY-4.0 | assets/6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3.pdf | 6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3 | arxiv:2608.13388 | formula | 13 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[260.18,369.89,91.65,33.44],"bbox_pdf":[260.18,388.67,351.82,422.11],"fragments":[{"bbox_pdf":[260.18,388.67,351.82,422.11],"words":[4775,4776,4777,4778,4779,4780,4781,4782,4783]}],"html":null,"kind":"paragraph","latex":"P=c_{P}\\prod_{\\phi\\in\\mathcal{I}_{P}}\\phi^{e_{P}(\\phi)},","level":null,"list... | CC-BY-4.0 | assets/6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3.pdf | 6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3 | arxiv:2608.13388 | formula | 13 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[180.97,436.59,245.36,12.6],"bbox_pdf":[180.97,342.82,426.33,355.41],"fragments":[{"bbox_pdf":[180.97,342.82,426.33,355.41],"words":[4810,4811,4812,4813,4814,4815,4816,4817,4818,4819,4820,4821,4822,4823,4824]}],"html":null,"kind":"paragraph","latex":"\\mathcal{I}_{C}=\\mathcal{I}_{F}\\cap\\mathcal{I}_{... | CC-BY-4.0 | assets/6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3.pdf | 6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3 | arxiv:2608.13388 | formula | 13 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[198.12,459.35,215.75,33.44],"bbox_pdf":[198.12,299.21,413.88,332.65],"fragments":[{"bbox_pdf":[198.12,299.21,413.88,332.65],"words":[4828,4829,4830,4831,4832,4833,4834,4835,4836,4837,4838,4839,4840,4841,4842]}],"html":null,"kind":"paragraph","latex":"C=\\prod_{\\phi\\in\\mathcal{I}_{C}}\\phi,\\qquad U... | CC-BY-4.0 | assets/6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3.pdf | 6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3 | arxiv:2608.13388 | formula | 13 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[221.91,512.43,165.75,12.64],"bbox_pdf":[221.91,266.93,387.66,279.57],"fragments":[{"bbox_pdf":[221.91,266.93,387.66,279.57],"words":[4856,4857,4858,4859,4860,4861]}],"html":null,"kind":"paragraph","latex":"\\operatorname{rad}_{\\mathbb{Q}}(F)=CU,\\qquad\\operatorname{rad}_{\\mathbb{Q}}(G)%\n=CV","leve... | CC-BY-4.0 | assets/6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3.pdf | 6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3 | arxiv:2608.13388 | formula | 13 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[199.34,632.88,213.31,10.91],"bbox_pdf":[199.34,148.21,412.66,159.12],"fragments":[{"bbox_pdf":[199.34,148.21,412.66,159.12],"words":[4942,4943,4944,4945,4946,4947,4948,4949,4950,4951,4952]}],"html":null,"kind":"paragraph","latex":"p\\mid F(n)\\quad\\Longleftrightarrow\\quad p\\mid C(n)\\quad\\Longleft... | CC-BY-4.0 | assets/6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3.pdf | 6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3 | arxiv:2608.13388 | formula | 13 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[240.07,668.93,131.86,12.6],"bbox_pdf":[240.07,110.47,371.93,123.07],"fragments":[{"bbox_pdf":[240.07,110.47,371.93,123.07],"words":[4966,4967,4968,4969,4970,4971,4972]}],"html":null,"kind":"paragraph","latex":"Z_{F}(p)=Z_{G}(p)\\qquad(p\\in A).","level":null,"list_depth":null,"match":{"src_placed":1.0... | CC-BY-4.0 | assets/6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3.pdf | 6f14f41dede8524e328332e485b15df634674d655a883c89ec7af528b17a70d3 | arxiv:2608.13388 | formula | 13 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","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":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","version":1},"blocks":[{"bbox":[199.95,94.13,212.11,7.97],"bbox_p... | CC-BY-4.0 | assets/eef1bb31894b3f4030bf8915102e11383f4ce495feb946727a5f187e9dd37a5f.pdf | eef1bb31894b3f4030bf8915102e11383f4ce495feb946727a5f187e9dd37a5f | arxiv:2608.13388 | page | 19 | {"arxiv_id":"2608.13388","authors":"Zihan Zhang","title":"Intersective Polynomials and Universal Separation of Divosor Profiles","url":"https://arxiv.org/abs/2608.13388v1","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":"2608.13394","authors":"Muhammad Hannan Akram, Muhammad Abubakar Rashid, Wassi Haider Kabir, Haejoon Jung, Kapal Dev, Syed Ali Hassan","title":"Heterogeneity-Aware Belief Synchronization for Semantic Communication in AI-Nativ... | CC-BY-4.0 | assets/51a66edf79885fe1e8a474296f7b5a3152d695788efd08230446f6f410b3eebb.pdf | 51a66edf79885fe1e8a474296f7b5a3152d695788efd08230446f6f410b3eebb | arxiv:2608.13394 | page | 2 | {"arxiv_id":"2608.13394","authors":"Muhammad Hannan Akram, Muhammad Abubakar Rashid, Wassi Haider Kabir, Haejoon Jung, Kapal Dev, Syed Ali Hassan","title":"Heterogeneity-Aware Belief Synchronization for Semantic Communication in AI-Native 6G Networks","url":"https://arxiv.org/abs/2608.13394v1","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":"2608.13394","authors":"Muhammad Hannan Akram, Muhammad Abubakar Rashid, Wassi Haider Kabir, Haejoon Jung, Kapal Dev, Syed Ali Hassan","title":"Heterogeneity-Aware Belief Synchronization for Semantic Communication in AI-Nativ... | CC-BY-4.0 | assets/0a2903463c19fc9e4d8ade17c2649c681d56c6607275749eff467e1a5c21458f.pdf | 0a2903463c19fc9e4d8ade17c2649c681d56c6607275749eff467e1a5c21458f | arxiv:2608.13394 | page | 6 | {"arxiv_id":"2608.13394","authors":"Muhammad Hannan Akram, Muhammad Abubakar Rashid, Wassi Haider Kabir, Haejoon Jung, Kapal Dev, Syed Ali Hassan","title":"Heterogeneity-Aware Belief Synchronization for Semantic Communication in AI-Native 6G Networks","url":"https://arxiv.org/abs/2608.13394v1","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":"2608.13394","authors":"Muhammad Hannan Akram, Muhammad Abubakar Rashid, Wassi Haider Kabir, Haejoon Jung, Kapal Dev, Syed Ali Hassan","title":"Heterogeneity-Aware Belief Synchronization for Semantic Communication in AI-Nativ... | CC-BY-4.0 | assets/ef96c9b3519dcd33a7b79b8a63fc0ae22ce3b8bedd42d0fec42f6a32ddc5ae45.pdf | ef96c9b3519dcd33a7b79b8a63fc0ae22ce3b8bedd42d0fec42f6a32ddc5ae45 | arxiv:2608.13394 | page | 8 | {"arxiv_id":"2608.13394","authors":"Muhammad Hannan Akram, Muhammad Abubakar Rashid, Wassi Haider Kabir, Haejoon Jung, Kapal Dev, Syed Ali Hassan","title":"Heterogeneity-Aware Belief Synchronization for Semantic Communication in AI-Native 6G Networks","url":"https://arxiv.org/abs/2608.13394v1","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":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4},"blocks":[{"bbox":[271.66,70.18,51.96,8.9... | CC-BY-4.0 | assets/8a6fe850969ad050b2a33f656f702d18376c9eb4408017937471d83967f516f9.pdf | 8a6fe850969ad050b2a33f656f702d18376c9eb4408017937471d83967f516f9 | arxiv:2608.13397 | page | 2 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[227.09,107.29,141.1,42.26],"bbox_pdf":[227.09,692.34,368.19,734.6],"fragments":[{"bbox_pdf":[227.09,692.34,368.19,734.6],"words":[380,381,382,383,384,385,386,387,388,389,390,391,392]}],"html":null,"kind":"paragraph","latex":"\\|T^{n}\\|=O\\!\\left(\\frac{n}{\\sqrt{\\log(n+1)}}\\right),","level":null,"... | CC-BY-4.0 | assets/8a6fe850969ad050b2a33f656f702d18376c9eb4408017937471d83967f516f9.pdf | 8a6fe850969ad050b2a33f656f702d18376c9eb4408017937471d83967f516f9 | arxiv:2608.13397 | formula | 2 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[222.74,165.96,149.8,37.01],"bbox_pdf":[222.74,638.91,372.54,675.93],"fragments":[{"bbox_pdf":[222.74,638.91,372.54,675.93],"words":[407,408,409,410,411,412,413,414,415,416,417,418,419]}],"html":null,"kind":"paragraph","latex":"\\|T^{n}\\|=O\\!\\left(\\frac{n}{(\\log(n+1))^{1/s}}\\right),","level":null... | CC-BY-4.0 | assets/8a6fe850969ad050b2a33f656f702d18376c9eb4408017937471d83967f516f9.pdf | 8a6fe850969ad050b2a33f656f702d18376c9eb4408017937471d83967f516f9 | arxiv:2608.13397 | formula | 2 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[238.43,265.4,118.41,14.7],"bbox_pdf":[238.43,561.79,356.84,576.49],"fragments":[{"bbox_pdf":[238.43,561.79,356.84,576.49],"words":[472,473,474,475,476,477,478]}],"html":null,"kind":"paragraph","latex":"\\left\\|T_{t}\\right\\|\\gtrsim t^{\\gamma}\\qquad(t\\to\\infty);","level":null,"list_depth":null,"... | CC-BY-4.0 | assets/8a6fe850969ad050b2a33f656f702d18376c9eb4408017937471d83967f516f9.pdf | 8a6fe850969ad050b2a33f656f702d18376c9eb4408017937471d83967f516f9 | arxiv:2608.13397 | formula | 2 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[259.66,302.27,70.9,14.7],"bbox_pdf":[259.66,524.92,330.56,539.62],"fragments":[{"bbox_pdf":[259.66,524.92,330.56,539.62],"words":[492,493,494,495]}],"html":null,"kind":"paragraph","latex":"\\left\\|T_{t}\\right\\|=O(t^{1-\\varepsilon})","level":null,"list_depth":null,"match":{"src_placed":1.0,"verifie... | CC-BY-4.0 | assets/8a6fe850969ad050b2a33f656f702d18376c9eb4408017937471d83967f516f9.pdf | 8a6fe850969ad050b2a33f656f702d18376c9eb4408017937471d83967f516f9 | arxiv:2608.13397 | formula | 2 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[188.18,726.56,218.91,14.7],"bbox_pdf":[188.18,100.63,407.09,115.33],"fragments":[{"bbox_pdf":[188.18,100.63,407.09,115.33],"words":[840,841,842,843,844,845,846,847,848,849,850,851,853,854,855]}],"html":null,"kind":"paragraph","latex":"L^{p}(\\Omega,\\mu)_{+}=\\{f\\in L^{p}(\\Omega,\\mu;\\mathbb{R}):f\... | CC-BY-4.0 | assets/8a6fe850969ad050b2a33f656f702d18376c9eb4408017937471d83967f516f9.pdf | 8a6fe850969ad050b2a33f656f702d18376c9eb4408017937471d83967f516f9 | arxiv:2608.13397 | formula | 2 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | 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":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4},"blocks":[{"bbox":[117.48,70.18,360.31,8.... | CC-BY-4.0 | assets/c52c81b21c65eb935cca9875aa0678c1fde513bab18f97556f6f33c01249d67a.pdf | c52c81b21c65eb935cca9875aa0678c1fde513bab18f97556f6f33c01249d67a | arxiv:2608.13397 | page | 3 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[207.91,103.66,179.46,39.02],"bbox_pdf":[207.91,699.21,387.36,738.23],"fragments":[{"bbox_pdf":[207.91,699.21,387.36,738.23],"words":[894,895,897,896,898,899,900,901,902,903,904,905,906]}],"html":null,"kind":"paragraph","latex":"\\widehat{f}(\\beta):=\\int_{\\mathbb{R}}e^{-i\\beta s}f(s)\\,ds,\\qquad\\... | CC-BY-4.0 | assets/c52c81b21c65eb935cca9875aa0678c1fde513bab18f97556f6f33c01249d67a.pdf | c52c81b21c65eb935cca9875aa0678c1fde513bab18f97556f6f33c01249d67a | arxiv:2608.13397 | formula | 3 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[221.81,170.59,151.67,37.42],"bbox_pdf":[221.81,633.88,373.47,671.3],"fragments":[{"bbox_pdf":[221.81,633.88,373.47,671.3],"words":[931,932,934,933,935,936,937,938,939,940,941]}],"html":null,"kind":"paragraph","latex":"\\widehat{f}(\\gamma):=\\sum_{k\\in\\mathbb{Z}}f_{k}\\gamma^{-k},\\qquad\\gamma\\in%... | CC-BY-4.0 | assets/c52c81b21c65eb935cca9875aa0678c1fde513bab18f97556f6f33c01249d67a.pdf | c52c81b21c65eb935cca9875aa0678c1fde513bab18f97556f6f33c01249d67a | arxiv:2608.13397 | formula | 3 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[200.57,245.71,194.13,12.91],"bbox_pdf":[200.57,583.27,394.7,596.18],"fragments":[{"bbox_pdf":[200.57,583.27,394.7,596.18],"words":[965,966,967,968,969,970,971,972,973,974,975]}],"html":null,"kind":"paragraph","latex":"R(\\lambda,B):=(\\lambda I-B)^{-1},\\qquad\\lambda\\in\\rho(B),","level":null,"list_... | CC-BY-4.0 | assets/c52c81b21c65eb935cca9875aa0678c1fde513bab18f97556f6f33c01249d67a.pdf | c52c81b21c65eb935cca9875aa0678c1fde513bab18f97556f6f33c01249d67a | arxiv:2608.13397 | formula | 3 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[107.99,329.9,374.06,28.52],"bbox_pdf":[107.99,483.47,482.04,511.99],"fragments":[{"bbox_pdf":[107.99,483.47,482.04,511.99],"words":[1016,1018,1019,1020,1021,1022,1023,1024,1025,1026,1028,1029,1030,1031,1032,1034,1035,1036]}],"html":null,"kind":"paragraph","latex":"C_{K}(T):=\\sup_{\\begin{subarray}{c}... | CC-BY-4.0 | assets/c52c81b21c65eb935cca9875aa0678c1fde513bab18f97556f6f33c01249d67a.pdf | c52c81b21c65eb935cca9875aa0678c1fde513bab18f97556f6f33c01249d67a | arxiv:2608.13397 | formula | 3 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[98.1,442.41,393.84,22.25],"bbox_pdf":[98.1,377.23,491.93,399.48],"fragments":[{"bbox_pdf":[98.1,377.23,491.93,399.48],"words":[1100,1102,1103,1104,1105,1106,1107,1108,1109,1110,1112,1113,1114,1115,1116,1117,1118,1120,1121]}],"html":null,"kind":"paragraph","latex":"C_{K}(T):=\\sup_{|\\lambda|>1}(|\\lam... | CC-BY-4.0 | assets/c52c81b21c65eb935cca9875aa0678c1fde513bab18f97556f6f33c01249d67a.pdf | c52c81b21c65eb935cca9875aa0678c1fde513bab18f97556f6f33c01249d67a | arxiv:2608.13397 | formula | 3 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[210.49,558.52,174.3,29.84],"bbox_pdf":[210.49,253.53,384.79,283.37],"fragments":[{"bbox_pdf":[210.49,253.53,384.79,283.37],"words":[1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233]}],"html":null,"kind":"paragraph","latex":"\\varepsilon_{r}(C):=\\frac{1}{r}\\log_{2}\\!\\left(1+(2eC)^{-... | CC-BY-4.0 | assets/c52c81b21c65eb935cca9875aa0678c1fde513bab18f97556f6f33c01249d67a.pdf | c52c81b21c65eb935cca9875aa0678c1fde513bab18f97556f6f33c01249d67a | arxiv:2608.13397 | formula | 3 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | 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":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4},"blocks":[{"bbox":[117.48,70.18,360.31,8.... | CC-BY-4.0 | assets/8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c.pdf | 8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c | arxiv:2608.13397 | page | 15 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[150.59,108.04,293.1,94.46],"bbox_pdf":[150.59,639.39,443.69,733.85],"fragments":[{"bbox_pdf":[150.59,639.39,443.69,733.85],"words":[5475,5476,5477,5478,5479,5480,5481,5482,5483,5484,5485,5486,5487,5488,5489,5490,5491,5492,5493,5494,5495,5496,5497,5498,5499,5500,5501,5502,5503,5504,5505,5506,5507,5508,... | CC-BY-4.0 | assets/8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c.pdf | 8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c | arxiv:2608.13397 | formula | 15 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[217.19,229.35,132.69,38.58],"bbox_pdf":[217.19,573.97,349.88,612.54],"fragments":[{"bbox_pdf":[217.19,573.97,349.88,612.54],"words":[5542,5543,5544,5545,5546,5547,5548,5549,5550,5551,5552,5553,5554]}],"html":null,"kind":"paragraph","latex":"\\sup_{R\\geq 1}\\frac{1}{R}\\left(\\int_{0}^{R}\\left\\|T_{t... | CC-BY-4.0 | assets/8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c.pdf | 8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c | arxiv:2608.13397 | formula | 15 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[193.5,356.86,208.27,40.02],"bbox_pdf":[193.5,445.01,401.77,485.03],"fragments":[{"bbox_pdf":[193.5,445.01,401.77,485.03],"words":[5618,5619,5620,5621,5622,5623,5624,5625,5626,5627,5628]}],"html":null,"kind":"paragraph","latex":"(\\mathcal{K}_{m}f)(s)=\\int_{J_{m}}T_{v-s}f(v)\\,dv,\\qquad s\\in I_{m}."... | CC-BY-4.0 | assets/8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c.pdf | 8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c | arxiv:2608.13397 | formula | 15 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[216.83,427.97,161.62,16.44],"bbox_pdf":[216.83,397.48,378.45,413.92],"fragments":[{"bbox_pdf":[216.83,397.48,378.45,413.92],"words":[5635,5636,5637]}],"html":null,"kind":"paragraph","latex":"\\left\\|\\mathcal{K}_{m}\\right\\|_{B(L^{p}(J_{m};E),L^{p}(I_{m};E))}\\leq 2\\Gamma m.","level":null,"list_dep... | CC-BY-4.0 | assets/8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c.pdf | 8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c | arxiv:2608.13397 | formula | 15 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[215.98,474.7,163.33,28.24],"bbox_pdf":[215.98,338.95,379.3,367.19],"fragments":[{"bbox_pdf":[215.98,338.95,379.3,367.19],"words":[5650,5651,5652,5653,5654,5655,5656,5657,5658,5659,5660]}],"html":null,"kind":"paragraph","latex":"r=p,\\qquad C_{0}=\\frac{\\Gamma}{e},\\qquad C_{1}=\\Lambda.","level":null... | CC-BY-4.0 | assets/8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c.pdf | 8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c | arxiv:2608.13397 | formula | 15 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[220.49,527.54,154.3,14.7],"bbox_pdf":[220.49,299.65,374.79,314.35],"fragments":[{"bbox_pdf":[220.49,299.65,374.79,314.35],"words":[5664,5665,5666,5667,5668,5669,5670,5671,5672,5673]}],"html":null,"kind":"paragraph","latex":"\\left\\|T_{t}\\right\\|\\leq C(1+t)^{1-\\varepsilon},\\qquad t\\geq 0,","leve... | CC-BY-4.0 | assets/8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c.pdf | 8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c | arxiv:2608.13397 | formula | 15 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[226.12,561.35,143.03,29.84],"bbox_pdf":[226.12,250.7,369.16,280.54],"fragments":[{"bbox_pdf":[226.12,250.7,369.16,280.54],"words":[5675,5676,5677,5678,5679,5680,5681,5682,5683,5684,5685,5686,5687,5688]}],"html":null,"kind":"paragraph","latex":"\\varepsilon=\\frac{1}{p}\\log_{2}\\left(1+(2\\Gamma)^{-p}... | CC-BY-4.0 | assets/8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c.pdf | 8cd0d4e70ddabb9c80acde29b8071cd25a7ad52015265b1ec9b0c5b60735425c | arxiv:2608.13397 | formula | 15 | {"arxiv_id":"2608.13397","authors":"Loris Arnold","title":"Polynomial gaps below linear growth for Kreiss bounded semigroups and operators","url":"https://arxiv.org/abs/2608.13397v4","version":4} | 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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[60.05... | CC-BY-4.0 | assets/c9d9501949ed3d6c77196b28c420502ccd8c9ab08f8c515d59f4d7691a5a4584.pdf | c9d9501949ed3d6c77196b28c420502ccd8c9ab08f8c515d59f4d7691a5a4584 | arxiv:2608.13398 | page | 2 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[60.05... | CC-BY-4.0 | assets/6bee2adaf96eb9d39f97f095aaa06ee8d46fc58a09b32c64bb58dc089cffb98c.pdf | 6bee2adaf96eb9d39f97f095aaa06ee8d46fc58a09b32c64bb58dc089cffb98c | arxiv:2608.13398 | page | 3 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[171.39,373.21,271.22,32.4],"bbox_pdf":[171.39,294.55,442.61,326.95],"fragments":[{"bbox_pdf":[171.39,294.55,442.61,326.95],"words":[1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175]}],"html":null,"kind":"paragraph","latex":"\\... | CC-BY-4.0 | assets/6bee2adaf96eb9d39f97f095aaa06ee8d46fc58a09b32c64bb58dc089cffb98c.pdf | 6bee2adaf96eb9d39f97f095aaa06ee8d46fc58a09b32c64bb58dc089cffb98c | arxiv:2608.13398 | formula | 3 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[229.4,446.69,213.21,32.29],"bbox_pdf":[229.4,221.18,442.61,253.47],"fragments":[{"bbox_pdf":[229.4,221.18,442.61,253.47],"words":[1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189]}],"html":null,"kind":"paragraph","latex":"\\bm{Q}=\\begin{pmatrix}\\rho\\\\\n\\rho U\\\\\n\\rho V\\\\\n\\r... | CC-BY-4.0 | assets/6bee2adaf96eb9d39f97f095aaa06ee8d46fc58a09b32c64bb58dc089cffb98c.pdf | 6bee2adaf96eb9d39f97f095aaa06ee8d46fc58a09b32c64bb58dc089cffb98c | arxiv:2608.13398 | formula | 3 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[226.45,497.45,216.16,24.72],"bbox_pdf":[226.45,177.99,442.61,202.7],"fragments":[{"bbox_pdf":[226.45,177.99,442.61,202.7],"words":[1197,1198,1199,1200,1201,1202,1203,1204,1205]}],"html":null,"kind":"paragraph","latex":"J=\\frac{\\partial(\\xi,\\eta)}{\\partial(x,y)}","level":null,"list_depth":null,"ma... | CC-BY-4.0 | assets/6bee2adaf96eb9d39f97f095aaa06ee8d46fc58a09b32c64bb58dc089cffb98c.pdf | 6bee2adaf96eb9d39f97f095aaa06ee8d46fc58a09b32c64bb58dc089cffb98c | arxiv:2608.13398 | formula | 3 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[180.99,555.36,261.61,29.56],"bbox_pdf":[180.99,115.24,442.61,144.8],"fragments":[{"bbox_pdf":[180.99,115.24,442.61,144.8],"words":[1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252]}],"html":null,"kind":"paragraph","latex":"e=\\frac{T}{\\gamma(\\gamma-1)M^{... | CC-BY-4.0 | assets/6bee2adaf96eb9d39f97f095aaa06ee8d46fc58a09b32c64bb58dc089cffb98c.pdf | 6bee2adaf96eb9d39f97f095aaa06ee8d46fc58a09b32c64bb58dc089cffb98c | arxiv:2608.13398 | formula | 3 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[60.05... | CC-BY-4.0 | assets/a3428d28f38a6722e5cc9edbe28b7e15a15ffce9b9beef9b108b6424d291acf8.pdf | a3428d28f38a6722e5cc9edbe28b7e15a15ffce9b9beef9b108b6424d291acf8 | arxiv:2608.13398 | page | 4 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[192.82,74.92,249.79,52.08],"bbox_pdf":[192.82,573.16,442.61,625.24],"fragments":[{"bbox_pdf":[192.82,573.16,442.61,625.24],"words":[1271,1272,1273,1274,1275,1276,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298]}],"html":null,"kind":"paragraph","... | CC-BY-4.0 | assets/a3428d28f38a6722e5cc9edbe28b7e15a15ffce9b9beef9b108b6424d291acf8.pdf | a3428d28f38a6722e5cc9edbe28b7e15a15ffce9b9beef9b108b6424d291acf8 | arxiv:2608.13398 | formula | 4 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[214.73,146.24,227.89,12.03],"bbox_pdf":[214.73,541.89,442.61,553.92],"fragments":[{"bbox_pdf":[214.73,541.89,442.61,553.92],"words":[1300,1301,1302,1303,1304,1305]}],"html":null,"kind":"paragraph","latex":"\\mathcal{U}_{\\kappa}=\\kappa_{x}U+\\kappa_{y}V","level":null,"list_depth":null,"match":{"src_p... | CC-BY-4.0 | assets/a3428d28f38a6722e5cc9edbe28b7e15a15ffce9b9beef9b108b6424d291acf8.pdf | a3428d28f38a6722e5cc9edbe28b7e15a15ffce9b9beef9b108b6424d291acf8 | arxiv:2608.13398 | formula | 4 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[114.46,195.43,328.15,52.08],"bbox_pdf":[114.46,452.64,442.61,504.72],"fragments":[{"bbox_pdf":[114.46,452.64,442.61,504.72],"words":[1344,1345,1346,1347,1348,1349,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1374,1371,1372,1375,1373,1376,1377,1378... | CC-BY-4.0 | assets/a3428d28f38a6722e5cc9edbe28b7e15a15ffce9b9beef9b108b6424d291acf8.pdf | a3428d28f38a6722e5cc9edbe28b7e15a15ffce9b9beef9b108b6424d291acf8 | arxiv:2608.13398 | formula | 4 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[176.99,259.17,265.62,33.97],"bbox_pdf":[176.99,407.02,442.61,440.99],"fragments":[{"bbox_pdf":[176.99,407.02,442.61,440.99],"words":[1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420]}],"html":null,"kind":"paragraph","latex":"\\tau_{ij}=\\fra... | CC-BY-4.0 | assets/a3428d28f38a6722e5cc9edbe28b7e15a15ffce9b9beef9b108b6424d291acf8.pdf | a3428d28f38a6722e5cc9edbe28b7e15a15ffce9b9beef9b108b6424d291acf8 | arxiv:2608.13398 | formula | 4 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[190.84,307.38,251.77,26.29],"bbox_pdf":[190.84,366.49,442.61,392.78],"fragments":[{"bbox_pdf":[190.84,366.49,442.61,392.78],"words":[1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435]}],"html":null,"kind":"paragraph","latex":"q_{i}=-\\frac{\\mu}{(\\gamma-1)M^{2}Re\\,Pr}\\frac{\\par... | CC-BY-4.0 | assets/a3428d28f38a6722e5cc9edbe28b7e15a15ffce9b9beef9b108b6424d291acf8.pdf | a3428d28f38a6722e5cc9edbe28b7e15a15ffce9b9beef9b108b6424d291acf8 | arxiv:2608.13398 | formula | 4 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[60.05... | CC-BY-4.0 | assets/f609442bf7ba9bb776cbbaa61d81aba6d6ad976270755ce19ceda13903f51fa1.pdf | f609442bf7ba9bb776cbbaa61d81aba6d6ad976270755ce19ceda13903f51fa1 | arxiv:2608.13398 | page | 7 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[157.8... | CC-BY-4.0 | assets/621b9d7283a2f94207a27a870f249d3c3134a10844bc51b0e68098015a2a4f67.pdf | 621b9d7283a2f94207a27a870f249d3c3134a10844bc51b0e68098015a2a4f67 | arxiv:2608.13398 | page | 9 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[60.05... | CC-BY-4.0 | assets/252e2c6f40bc557fb7f3ae5f7f8d4bc717fe3e864ae4ee9604de3e833cdd2c30.pdf | 252e2c6f40bc557fb7f3ae5f7f8d4bc717fe3e864ae4ee9604de3e833cdd2c30 | arxiv:2608.13398 | page | 10 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[432.1... | CC-BY-4.0 | assets/21672d74fd74020ca5aeed13ecbc490e53329ff72b75ae560e8ec128a54b00e0.pdf | 21672d74fd74020ca5aeed13ecbc490e53329ff72b75ae560e8ec128a54b00e0 | arxiv:2608.13398 | page | 11 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[162.5,458.42,177.5,12.03],"bbox_pdf":[162.5,229.7,340.0,241.73],"fragments":[{"bbox_pdf":[162.5,229.7,340.0,241.73],"words":[3867,3868,3869,3870,3871,3872,3873,3874,3875,3876,3880]}],"html":null,"kind":"paragraph","latex":"t_{m}=t_{e}+(m-41)\\varDelta t,\\qquad m=1,\\ldots,41,","level":null,"list_dept... | CC-BY-4.0 | assets/21672d74fd74020ca5aeed13ecbc490e53329ff72b75ae560e8ec128a54b00e0.pdf | 21672d74fd74020ca5aeed13ecbc490e53329ff72b75ae560e8ec128a54b00e0 | arxiv:2608.13398 | formula | 11 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[60.05... | CC-BY-4.0 | assets/388456db0930adaa4924c01b8e8c076254d657c5f5c13e581a1597fb200fd087.pdf | 388456db0930adaa4924c01b8e8c076254d657c5f5c13e581a1597fb200fd087 | arxiv:2608.13398 | page | 14 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[432.1... | CC-BY-4.0 | assets/1fe0b0627283fee65f58f1e423c01be89c69ec7a769e3487cf556eca47ae73b2.pdf | 1fe0b0627283fee65f58f1e423c01be89c69ec7a769e3487cf556eca47ae73b2 | arxiv:2608.13398 | page | 15 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[432.1... | CC-BY-4.0 | assets/b75ffb74baf6d9145cef9260f1dc286e95f05617c007902a250addf3e7754502.pdf | b75ffb74baf6d9145cef9260f1dc286e95f05617c007902a250addf3e7754502 | arxiv:2608.13398 | page | 17 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[158.74,386.95,283.87,35.08],"bbox_pdf":[158.74,278.13,442.61,313.21],"fragments":[{"bbox_pdf":[158.74,278.13,442.61,313.21],"words":[5798,5799,5800,5801,5802,5803,5804,5805,5806,5807,5808,5809]}],"html":null,"kind":"paragraph","latex":"\\varGamma(m)=\\iint_{\\mathcal{A}_{v}(m)}\\omega_{z}\\,dA,\\qquad... | CC-BY-4.0 | assets/b75ffb74baf6d9145cef9260f1dc286e95f05617c007902a250addf3e7754502.pdf | b75ffb74baf6d9145cef9260f1dc286e95f05617c007902a250addf3e7754502 | arxiv:2608.13398 | formula | 17 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[60.05... | CC-BY-4.0 | assets/36d71488a2f3014a357fc7040fd25bf850821c51e5fdfa6b7eac2c36a099bf2c.pdf | 36d71488a2f3014a357fc7040fd25bf850821c51e5fdfa6b7eac2c36a099bf2c | arxiv:2608.13398 | page | 18 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[432.1... | CC-BY-4.0 | assets/c1f19c635ad28df9077114c44e75fae1809aa371e475a4a61e77bdb78cdc916f.pdf | c1f19c635ad28df9077114c44e75fae1809aa371e475a4a61e77bdb78cdc916f | arxiv:2608.13398 | page | 19 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[60.05... | CC-BY-4.0 | assets/6aa224cd789c599fd0c4fe57711839968a69763fcf6fae4af2f7c7707d9d88eb.pdf | 6aa224cd789c599fd0c4fe57711839968a69763fcf6fae4af2f7c7707d9d88eb | arxiv:2608.13398 | page | 20 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[432.1... | CC-BY-4.0 | assets/2b95d220e5dbe9ebc6a01e244ae325c60c1ba0b9d83f7b2f6c397aa0bf73624c.pdf | 2b95d220e5dbe9ebc6a01e244ae325c60c1ba0b9d83f7b2f6c397aa0bf73624c | arxiv:2608.13398 | page | 21 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[150.17,581.08,202.17,12.03],"bbox_pdf":[150.17,107.04,352.34,119.08],"fragments":[{"bbox_pdf":[150.17,107.04,352.34,119.08],"words":[7531,7532,7533,7534,7535,7536,7537,7538,7539,7540,7544]}],"html":null,"kind":"paragraph","latex":"t_{m}=t_{e}+(m-101)\\varDelta t_{\\mathrm{snap}},\\qquad m=1,\\ldots,10... | CC-BY-4.0 | assets/2b95d220e5dbe9ebc6a01e244ae325c60c1ba0b9d83f7b2f6c397aa0bf73624c.pdf | 2b95d220e5dbe9ebc6a01e244ae325c60c1ba0b9d83f7b2f6c397aa0bf73624c | arxiv:2608.13398 | formula | 21 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[60.05... | CC-BY-4.0 | assets/8d82e7c281bb14644b83b94cbada30c20ee226dfc935a6a602febbb4d7db839e.pdf | 8d82e7c281bb14644b83b94cbada30c20ee226dfc935a6a602febbb4d7db839e | arxiv:2608.13398 | page | 22 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[432.1... | CC-BY-4.0 | assets/dc0c9ba83ac9192154b537d54fc0699900a3525056d2b1f80db1385dedafa235.pdf | dc0c9ba83ac9192154b537d54fc0699900a3525056d2b1f80db1385dedafa235 | arxiv:2608.13398 | page | 23 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","version":1},"blocks":[{"bbox":[60.05... | CC-BY-4.0 | assets/b066982041edd29862e2b56ac2be6835104930c5b5e3b7fb9d2abf8f4d2e7d5d.pdf | b066982041edd29862e2b56ac2be6835104930c5b5e3b7fb9d2abf8f4d2e7d5d | arxiv:2608.13398 | page | 24 | {"arxiv_id":"2608.13398","authors":"Shishir Gautam and Chitrarth Prasad","title":"Intermittent Vortex Merging and Extreme Drag in Transitional Airfoil Flow","url":"https://arxiv.org/abs/2608.13398v1","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":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1},"blocks":[{"bbox":[133.77,124.8,343.71,33.87],"bbox_pdf":[133.77,... | CC-BY-4.0 | assets/4609b72dd2af045a1cb278d7595a4a193aa3553dfcd6fd843cad969033e42e2b.pdf | 4609b72dd2af045a1cb278d7595a4a193aa3553dfcd6fd843cad969033e42e2b | arxiv:2608.13405 | page | 4 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[218.29,214.47,158.59,11.46],"bbox_pdf":[218.29,615.97,376.87,627.42],"fragments":[{"bbox_pdf":[218.29,615.97,376.87,627.42],"words":[1252,1254,1255,1256,1257,1258,1259]}],"html":null,"kind":"paragraph","latex":"y_{C}:F(C)\\rightarrow\\operatorname{Mor}_{\\mathbf{Funct}}(\\operatorname{Mor}_{%\n\\mathb... | CC-BY-4.0 | assets/4609b72dd2af045a1cb278d7595a4a193aa3553dfcd6fd843cad969033e42e2b.pdf | 4609b72dd2af045a1cb278d7595a4a193aa3553dfcd6fd843cad969033e42e2b | arxiv:2608.13405 | formula | 4 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[211.35,282.21,188.55,11.46],"bbox_pdf":[211.35,548.22,399.9,559.68],"fragments":[{"bbox_pdf":[211.35,548.22,399.9,559.68],"words":[1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304]}],"html":null,"kind":"paragraph","latex":"y_{C}(\\xi)(D)(\\phi)=F(\\phi)(\\xi)\\in F(D),\\ \\xi\\in F(C).","level":... | CC-BY-4.0 | assets/4609b72dd2af045a1cb278d7595a4a193aa3553dfcd6fd843cad969033e42e2b.pdf | 4609b72dd2af045a1cb278d7595a4a193aa3553dfcd6fd843cad969033e42e2b | arxiv:2608.13405 | formula | 4 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[244.96,328.23,121.33,60.78],"bbox_pdf":[244.96,452.88,366.29,513.66],"fragments":[{"bbox_pdf":[244.96,452.88,366.29,513.66],"words":[1316,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329]}],"html":null,"kind":"paragraph","latex":"\\textstyle{\\operatorname{Mor}_{\\mathbf{C}}(C,D_{1})\\ignor... | CC-BY-4.0 | assets/4609b72dd2af045a1cb278d7595a4a193aa3553dfcd6fd843cad969033e42e2b.pdf | 4609b72dd2af045a1cb278d7595a4a193aa3553dfcd6fd843cad969033e42e2b | arxiv:2608.13405 | formula | 4 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[223.69,455.01,150.54,11.46],"bbox_pdf":[223.69,375.42,374.23,386.88],"fragments":[{"bbox_pdf":[223.69,375.42,374.23,386.88],"words":[1366,1368,1369,1370,1371,1372,1373]}],"html":null,"kind":"paragraph","latex":"y_{C}:F(C)\\rightarrow\\operatorname{Mor}_{\\mathbf{Cat}}(\\operatorname{Mor}_{%\n\\mathbf{... | CC-BY-4.0 | assets/4609b72dd2af045a1cb278d7595a4a193aa3553dfcd6fd843cad969033e42e2b.pdf | 4609b72dd2af045a1cb278d7595a4a193aa3553dfcd6fd843cad969033e42e2b | arxiv:2608.13405 | formula | 4 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[260.01,518.77,91.24,11.46],"bbox_pdf":[260.01,311.66,351.24,323.12],"fragments":[{"bbox_pdf":[260.01,311.66,351.24,323.12],"words":[1392,1394,1395,1396,1397]}],"html":null,"kind":"paragraph","latex":"\\operatorname{Y}_{C}:F\\rightarrow\\operatorname{Mor}(C,-)","level":null,"list_depth":null,"match":{"... | CC-BY-4.0 | assets/4609b72dd2af045a1cb278d7595a4a193aa3553dfcd6fd843cad969033e42e2b.pdf | 4609b72dd2af045a1cb278d7595a4a193aa3553dfcd6fd843cad969033e42e2b | arxiv:2608.13405 | formula | 4 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[193.54,662.23,224.15,11.46],"bbox_pdf":[193.54,168.2,417.7,179.66],"fragments":[{"bbox_pdf":[193.54,168.2,417.7,179.66],"words":[1509,1510,1511,1512,1513,1514,1515]}],"html":null,"kind":"paragraph","latex":"\\operatorname{Mor}_{\\mathbf{C}}(P,C)\\rightarrow\\operatorname{Mor}_{\\mathbf{%\nFunct}}(\\op... | CC-BY-4.0 | assets/4609b72dd2af045a1cb278d7595a4a193aa3553dfcd6fd843cad969033e42e2b.pdf | 4609b72dd2af045a1cb278d7595a4a193aa3553dfcd6fd843cad969033e42e2b | arxiv:2608.13405 | formula | 4 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1},"blocks":[{"bbox":[133.77,124.8,343.71,21.92],"bbox_pdf":[133.77,... | CC-BY-4.0 | assets/7258a99c96b7500b3eb3bc3a63dc16fd806f695b15f7fb40528cff542c2b5f1f.pdf | 7258a99c96b7500b3eb3bc3a63dc16fd806f695b15f7fb40528cff542c2b5f1f | arxiv:2608.13405 | page | 9 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1},"blocks":[{"bbox":[133.77,124.8,343.71,33.87],"bbox_pdf":[133.77,... | CC-BY-4.0 | assets/5291b7063f8679b442dbf4ff9b87718f6cae539e3ace29d55fc6f29fe4e48a6c.pdf | 5291b7063f8679b442dbf4ff9b87718f6cae539e3ace29d55fc6f29fe4e48a6c | arxiv:2608.13405 | page | 10 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[190.77,619.54,229.21,13.55],"bbox_pdf":[190.77,208.79,419.98,222.35],"fragments":[{"bbox_pdf":[190.77,208.79,419.98,222.35],"words":[4047,4048,4049,4050,4051,4052,4053,4054,4055,4056,4057,4058,4062,4063,4064,4065]}],"html":null,"kind":"paragraph","latex":"V=\\{V_{i}\\rightarrow V_{i-1}\\}_{i=n}^{1}=V_... | CC-BY-4.0 | assets/5291b7063f8679b442dbf4ff9b87718f6cae539e3ace29d55fc6f29fe4e48a6c.pdf | 5291b7063f8679b442dbf4ff9b87718f6cae539e3ace29d55fc6f29fe4e48a6c | arxiv:2608.13405 | formula | 10 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1},"blocks":[{"bbox":[133.77,124.8,343.71,54.21],"bbox_pdf":[133.77,... | CC-BY-4.0 | assets/6f1db8733cb4d9b396227f2cd127752ffac04b7cc16030be38456c2a1d1719e1.pdf | 6f1db8733cb4d9b396227f2cd127752ffac04b7cc16030be38456c2a1d1719e1 | arxiv:2608.13405 | page | 11 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[252.01,300.56,107.22,11.46],"bbox_pdf":[252.01,529.87,359.23,541.33],"fragments":[{"bbox_pdf":[252.01,529.87,359.23,541.33],"words":[4279,4281,4282,4283,4284,4285,4286]}],"html":null,"kind":"paragraph","latex":"f_{ij}:\\{x\\}\\rightarrow\\mathcal{F}(U_{i}\\times_{U}U_{j})","level":null,"list_depth":nu... | CC-BY-4.0 | assets/6f1db8733cb4d9b396227f2cd127752ffac04b7cc16030be38456c2a1d1719e1.pdf | 6f1db8733cb4d9b396227f2cd127752ffac04b7cc16030be38456c2a1d1719e1 | arxiv:2608.13405 | formula | 11 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1},"blocks":[{"bbox":[144.28,124.8,300.49,9.96],"bbox_pdf":[144.28,7... | CC-BY-4.0 | assets/d41369588f2e224d5edc2ae81a5944e707954233aea6c2b7669a049d601fd7fb.pdf | d41369588f2e224d5edc2ae81a5944e707954233aea6c2b7669a049d601fd7fb | arxiv:2608.13405 | page | 12 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1},"blocks":[{"bbox":[133.77,124.8,343.71,21.92],"bbox_pdf":[133.77,... | CC-BY-4.0 | assets/e9a67eefdf79cdd0f1276aa7dbb90285d3d70445654698e72a1a5a2bf4bca7d3.pdf | e9a67eefdf79cdd0f1276aa7dbb90285d3d70445654698e72a1a5a2bf4bca7d3 | arxiv:2608.13405 | page | 15 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1},"blocks":[{"bbox":[141.52,124.8,335.96,21.92],"bbox_pdf":[141.52,... | CC-BY-4.0 | assets/3c274e2d43717145f490c9e6ed14ea952ea266ab23bb343a8df8f6b1f2b48063.pdf | 3c274e2d43717145f490c9e6ed14ea952ea266ab23bb343a8df8f6b1f2b48063 | arxiv:2608.13405 | page | 17 | {"arxiv_id":"2608.13405","authors":"Arvid Siqveland","title":"Sites and Grothendieck Topologies, Sites and Sheaves","url":"https://arxiv.org/abs/2608.13405v1","version":1} | CC0-1.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.13415","authors":"Shivam Vats, Sudarshan Harithas, Mete Tuluhan Akbulut, Arvind Raghunathan, George Konidaris","title":"Deliberate Practice: Learning Robot Skills under a Budget","url":"https://arxiv.org/abs/2608.13415v... | CC-BY-4.0 | assets/40edc04a150da3fc8b92d299441db5ccbcbcbea144134dcbc3482f944ef3e33a.pdf | 40edc04a150da3fc8b92d299441db5ccbcbcbea144134dcbc3482f944ef3e33a | arxiv:2608.13415 | page | 1 | {"arxiv_id":"2608.13415","authors":"Shivam Vats, Sudarshan Harithas, Mete Tuluhan Akbulut, Arvind Raghunathan, George Konidaris","title":"Deliberate Practice: Learning Robot Skills under a Budget","url":"https://arxiv.org/abs/2608.13415v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
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