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Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[257.86,392.55,86.81,12.91],"bbox_pdf":[257.86,386.54,344.66,399.45],"fragments":[{"bbox_pdf":[257.86,386.54,344.66,399.45],"words":[2530,2531,2532,2533,2534,2535]}],"html":null,"kind":"paragraph","latex":"({\\mathbf{x}};{\\mathbf{y}})\\longmapsto({\\mathbf{x}};{\\mathbf{y}}^{W}).","level":null,"list_d... | CC-BY-4.0 | assets/b3736718a7262ac0f7238f6e570c9ec949d6c1cc49e38ec343fe79cfbed35691.pdf | b3736718a7262ac0f7238f6e570c9ec949d6c1cc49e38ec343fe79cfbed35691 | arxiv:2608.28774 | formula | 6 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[255.54,477.36,285.59,13.75],"bbox_pdf":[255.54,300.89,541.13,314.64],"fragments":[{"bbox_pdf":[255.54,300.89,541.13,314.64],"words":[2593,2594,2595,2596,2597,2598,2599,2600]}],"html":null,"kind":"paragraph","latex":"\\sigma_{F}\\leq\\sigma_{G}\\leq\\sigma_{F}+s_{2}.","level":null,"list_depth":null,"ma... | CC-BY-4.0 | assets/b3736718a7262ac0f7238f6e570c9ec949d6c1cc49e38ec343fe79cfbed35691.pdf | b3736718a7262ac0f7238f6e570c9ec949d6c1cc49e38ec343fe79cfbed35691 | arxiv:2608.28774 | formula | 6 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[235.58,530.29,140.84,37.15],"bbox_pdf":[235.58,224.56,376.42,261.71],"fragments":[{"bbox_pdf":[235.58,224.56,376.42,261.71],"words":[2624,2625,2626,2627,2628,2629,2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640]}],"html":null,"kind":"paragraph","latex":"F({\\mathbf{x}};{\\mathbf{y}})=\\sum_{j=1... | CC-BY-4.0 | assets/b3736718a7262ac0f7238f6e570c9ec949d6c1cc49e38ec343fe79cfbed35691.pdf | b3736718a7262ac0f7238f6e570c9ec949d6c1cc49e38ec343fe79cfbed35691 | arxiv:2608.28774 | formula | 6 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","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":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1},"blocks":[{"bbox":[70.87,69.87,9.22,8.97],"bbox_pdf":[70.87,713... | CC-BY-4.0 | assets/e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198.pdf | e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198 | arxiv:2608.28774 | page | 12 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[246.97,110.74,118.06,13.81],"bbox_pdf":[246.97,667.44,365.03,681.26],"fragments":[{"bbox_pdf":[246.97,667.44,365.03,681.26],"words":[4721,4722,4723,4724,4725,4726]}],"html":null,"kind":"paragraph","latex":"\\operatorname{ht}_{R/\\mathfrak{p}}(\\mathfrak{q}/\\mathfrak{p})=\\operatorname{ht%\n}_{A}\\ove... | CC-BY-4.0 | assets/e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198.pdf | e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198 | arxiv:2608.28774 | formula | 12 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[278.21,145.77,55.58,13.75],"bbox_pdf":[278.21,632.48,333.8,646.23],"fragments":[{"bbox_pdf":[278.21,632.48,333.8,646.23],"words":[4728,4729,4730,4731]}],"html":null,"kind":"paragraph","latex":"\\operatorname{ht}_{R}\\mathfrak{q}\\leq 2c.","level":null,"list_depth":null,"match":{"src_placed":1.0,"verif... | CC-BY-4.0 | assets/e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198.pdf | e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198 | arxiv:2608.28774 | formula | 12 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[239.99,178.35,132.03,13.75],"bbox_pdf":[239.99,599.9,372.01,613.65],"fragments":[{"bbox_pdf":[239.99,599.9,372.01,613.65],"words":[4739,4740,4741,4742,4743,4744,4745,4746,4747,4748,4749]}],"html":null,"kind":"paragraph","latex":"\\operatorname{ht}J\\leq\\operatorname{ht}\\mathfrak{q}\\leq 2c=2\\operat... | CC-BY-4.0 | assets/e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198.pdf | e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198 | arxiv:2608.28774 | formula | 12 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[174.33,210.94,263.35,13.75],"bbox_pdf":[174.33,567.32,437.68,581.06],"fragments":[{"bbox_pdf":[174.33,567.32,437.68,581.06],"words":[4751,4752,4753,4754,4755,4756,4757,4758,4759,4760,4761]}],"html":null,"kind":"paragraph","latex":"\\operatorname{codim}\\left(V_{\\mathcal{E}}(G)\\right)=\\operatorname{... | CC-BY-4.0 | assets/e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198.pdf | e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198 | arxiv:2608.28774 | formula | 12 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[255.47,281.05,101.06,38.07],"bbox_pdf":[255.47,472.88,356.53,510.95],"fragments":[{"bbox_pdf":[255.47,472.88,356.53,510.95],"words":[4807,4808,4809,4810,4811,4812,4813,4814,4815,4816,4817]}],"html":null,"kind":"paragraph","latex":"d_{j}G=\\sum_{i=1}^{N_{j}}z^{(j)}_{i}\\frac{\\partial G}{\\partial z^{(... | CC-BY-4.0 | assets/e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198.pdf | e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198 | arxiv:2608.28774 | formula | 12 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[226.0,416.0,160.0,37.86],"bbox_pdf":[226.0,338.14,386.0,376.0],"fragments":[{"bbox_pdf":[226.0,338.14,386.0,376.0],"words":[4874,4875,4876,4877,4878,4879,4880,4881,4882,4883,4884,4885,4886]}],"html":null,"kind":"paragraph","latex":"S({\\alpha}):=\\sum_{|{\\mathbf{x}}|\\leq X}\\sum_{|{\\mathbf{y}}|\\le... | CC-BY-4.0 | assets/e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198.pdf | e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198 | arxiv:2608.28774 | formula | 12 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[248.79,466.82,114.43,39.02],"bbox_pdf":[248.79,286.16,363.21,325.18],"fragments":[{"bbox_pdf":[248.79,286.16,363.21,325.18],"words":[4891,4892,4893,4894,4896,4897,4898,4899]}],"html":null,"kind":"paragraph","latex":"R_{F}(P)=\\int_{0}^{1}S({\\alpha})\\,{\\,{\\rm d}}{\\alpha}.","level":null,"list_depth... | CC-BY-4.0 | assets/e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198.pdf | e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198 | arxiv:2608.28774 | formula | 12 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[239.08,517.27,133.84,47.45],"bbox_pdf":[239.08,227.28,372.92,274.73],"fragments":[{"bbox_pdf":[239.08,227.28,372.92,274.73],"words":[4912,4913,4914,4915,4916,4917,4918]}],"html":null,"kind":"paragraph","latex":"{\\mathfrak{M}}(\\theta):=\\bigcup_{\\begin{subarray}{c}0\\leq a\\leq q\\leq P^{%\n\\theta}... | CC-BY-4.0 | assets/e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198.pdf | e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198 | arxiv:2608.28774 | formula | 12 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[200.51,585.38,210.99,14.7],"bbox_pdf":[200.51,191.92,411.49,206.62],"fragments":[{"bbox_pdf":[200.51,191.92,411.49,206.62],"words":[4920,4921,4922,4923,4924,4925,4927,4928,4929,4930,4931,4932,4933]}],"html":null,"kind":"paragraph","latex":"{\\mathfrak{M}}_{a,q}(\\theta):=\\{{\\alpha}\\in[0,1):|q{\\alp... | CC-BY-4.0 | assets/e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198.pdf | e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198 | arxiv:2608.28774 | formula | 12 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[195.39,637.38,221.23,46.73],"bbox_pdf":[195.39,107.89,416.61,154.62],"fragments":[{"bbox_pdf":[195.39,107.89,416.61,154.62],"words":[4960,4961,4962,4963,4964,4965,4966,4967,4968,4969,4970,4971,4972,4973,4974,4975,4976]}],"html":null,"kind":"paragraph","latex":"S(a,q):=\\sum_{{\\mathbf{x}}\\in({\\mathb... | CC-BY-4.0 | assets/e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198.pdf | e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198 | arxiv:2608.28774 | formula | 12 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[194.27,672.15,223.46,39.02],"bbox_pdf":[194.27,80.83,417.73,119.85],"fragments":[{"bbox_pdf":[194.27,80.83,417.73,119.85],"words":[4977,4978,4979,4980,4981,4983,4984,4985,4986,4987,4988,4989,4990,4991]}],"html":null,"kind":"paragraph","latex":"I({\\beta};P):=\\int_{|{\\boldsymbol{{\\gamma}}}|\\leq X}\... | CC-BY-4.0 | assets/e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198.pdf | e5577bda652dfbd4817074055e93c5e22aa5445bfcf991b1cb52fdc819620198 | arxiv:2608.28774 | formula | 12 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","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":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1},"blocks":[{"bbox":[199.3,69.87,213.39,8.97],"bbox_pdf":[199.3,7... | CC-BY-4.0 | assets/739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13.pdf | 739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13 | arxiv:2608.28774 | page | 17 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[233.74,134.17,144.52,13.75],"bbox_pdf":[233.74,644.08,378.26,657.83],"fragments":[{"bbox_pdf":[233.74,644.08,378.26,657.83],"words":[6412,6413,6414,6415,6416,6417,6418]}],"html":null,"kind":"paragraph","latex":"d_{1}=d_{1}(k_{0})\\ \\text{and}\\ d_{2}=d_{2}(k_{0}).","level":null,"list_depth":null,"mat... | CC-BY-4.0 | assets/739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13.pdf | 739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13 | arxiv:2608.28774 | formula | 17 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[79.57,163.02,461.57,74.56],"bbox_pdf":[79.57,554.42,541.14,628.98],"fragments":[{"bbox_pdf":[79.57,554.42,541.14,628.98],"words":[6433,6434,6435,6436,6437,6438,6439,6440,6441,6442,6443,6444,6446,6447,6448,6450,6451,6452,6453,6454,6455,6456,6457]}],"html":null,"kind":"paragraph","latex":"|S_{{\\mathbf{... | CC-BY-4.0 | assets/739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13.pdf | 739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13 | arxiv:2608.28774 | formula | 17 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[70.87,261.4,475.47,40.44],"bbox_pdf":[70.87,490.16,546.34,530.6],"fragments":[{"bbox_pdf":[70.87,490.16,546.34,530.6],"words":[6480,6481,6482,6483,6484,6485,6486,6487,6488,6489,6491,6493,6494,6495,6496,6498,6499,6500,6501,6503,6504,6505]}],"html":null,"kind":"paragraph","latex":"F_{d_{1},1}({\\mathbf{... | CC-BY-4.0 | assets/739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13.pdf | 739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13 | arxiv:2608.28774 | formula | 17 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[126.69,317.0,358.63,40.44],"bbox_pdf":[126.69,434.56,485.31,475.0],"fragments":[{"bbox_pdf":[126.69,434.56,485.31,475.0],"words":[6515,6516,6517,6518,6519,6520,6521,6522,6523,6525,6526,6527,6528,6530,6531,6532,6533,6535,6536,6537]}],"html":null,"kind":"paragraph","latex":"{\\mathcal{G}}({\\mathbf{X}}^... | CC-BY-4.0 | assets/739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13.pdf | 739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13 | arxiv:2608.28774 | formula | 17 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
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Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[70.87,516.77,480.96,44.37],"bbox_pdf":[70.87,230.86,551.83,275.23],"fragments":[{"bbox_pdf":[70.87,230.86,551.83,275.23],"words":[6650,6651,6652,6653,6654,6655,6656,6657,6658,6659,6660,6661,6662,6663,6664,6665,6666,6667,6668,6669,6671,6672,6673,6674,6675,6677,6679,6680,6681,6682,6683,6684]}],"html":nu... | CC-BY-4.0 | assets/739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13.pdf | 739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13 | arxiv:2608.28774 | formula | 17 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[97.44,578.23,417.11,48.81],"bbox_pdf":[97.44,164.96,514.56,213.77],"fragments":[{"bbox_pdf":[97.44,164.96,514.56,213.77],"words":[6692,6693,6694,6695,6696,6697,6698,6699,6700,6701,6702,6703,6704,6705,6706,6708,6709,6710,6711,6713,6714,6715,6716,6718,6719,6720,6721,6722,6723,6724,6725,6726,6727,6728,67... | CC-BY-4.0 | assets/739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13.pdf | 739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13 | arxiv:2608.28774 | formula | 17 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[248.63,645.47,111.5,24.54],"bbox_pdf":[248.63,121.99,360.12,146.53],"fragments":[{"bbox_pdf":[248.63,121.99,360.12,146.53],"words":[6754,6755,6756,6757,6758,6759,6761]}],"html":null,"kind":"paragraph","latex":"{\\mathbf{M}}_{k_{0}}\\bigl{(}{\\mathbf{X}}^{(d_{1}-1)};{\\mathbf{Y}}^{(d_{2}-1)}%\n\\bigr{)... | CC-BY-4.0 | assets/739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13.pdf | 739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13 | arxiv:2608.28774 | formula | 17 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[192.12,687.34,227.77,24.54],"bbox_pdf":[192.12,80.12,419.88,104.66],"fragments":[{"bbox_pdf":[192.12,80.12,419.88,104.66],"words":[6778,6779,6780,6781,6782,6783,6784,6785,6786,6788,6789,6790,6791,6792]}],"html":null,"kind":"paragraph","latex":"{\\mathbf{L}}_{k_{0}}\\bigl{(}{\\mathbf{X}}^{(d_{1}-1)};{\... | CC-BY-4.0 | assets/739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13.pdf | 739f58679038c0a0aa8de65ef3df5e505c9a23a9e0c47a03237986df41691d13 | arxiv:2608.28774 | formula | 17 | {"arxiv_id":"2608.28774","authors":"Daniel Flores Galiote, Kiseok Yeon","title":"On weighted forms in many variables","url":"https://arxiv.org/abs/2608.28774v1","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":"2608.28837","authors":"Jared Ren and Soobin Cho","title":"Delegating Before Learning: Where Generative AI Sits in Students' Professional Communication","url":"https://arxiv.org/abs/2608.28837v2","version":2},"blocks":[{"bbox... | CC-BY-4.0 | assets/aba94d110253732571abf8bf4335d6b775a4640931913d802149e940e9f7e8f4.pdf | aba94d110253732571abf8bf4335d6b775a4640931913d802149e940e9f7e8f4 | arxiv:2608.28837 | page | 2 | {"arxiv_id":"2608.28837","authors":"Jared Ren and Soobin Cho","title":"Delegating Before Learning: Where Generative AI Sits in Students' Professional Communication","url":"https://arxiv.org/abs/2608.28837v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.28880","authors":"Reya Vir, Lydia Chilton, Zhuo Zhang, Eugene Wu","title":"FlowCheck: Helping End-Users Specify and Verify Intent in Vibe-Coded Web Apps","url":"https://arxiv.org/abs/2608.28880v1","version":1},"blocks":... | CC-BY-4.0 | assets/fdd768ac95b70fb31e1e4e8a0299b45089580b020f5c08a249b112c9da7bc144.pdf | fdd768ac95b70fb31e1e4e8a0299b45089580b020f5c08a249b112c9da7bc144 | arxiv:2608.28880 | page | 2 | {"arxiv_id":"2608.28880","authors":"Reya Vir, Lydia Chilton, Zhuo Zhang, Eugene Wu","title":"FlowCheck: Helping End-Users Specify and Verify Intent in Vibe-Coded Web Apps","url":"https://arxiv.org/abs/2608.28880v1","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":"2608.28880","authors":"Reya Vir, Lydia Chilton, Zhuo Zhang, Eugene Wu","title":"FlowCheck: Helping End-Users Specify and Verify Intent in Vibe-Coded Web Apps","url":"https://arxiv.org/abs/2608.28880v1","version":1},"blocks":... | CC-BY-4.0 | assets/2cb708ac96df8208151668a2c9859c397b0be2ddb4a4c36762a76aaa1c3e7280.pdf | 2cb708ac96df8208151668a2c9859c397b0be2ddb4a4c36762a76aaa1c3e7280 | arxiv:2608.28880 | page | 3 | {"arxiv_id":"2608.28880","authors":"Reya Vir, Lydia Chilton, Zhuo Zhang, Eugene Wu","title":"FlowCheck: Helping End-Users Specify and Verify Intent in Vibe-Coded Web Apps","url":"https://arxiv.org/abs/2608.28880v1","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":"2608.28916","authors":"Tyler Baumgartner, Brandon Tai, Lisa Kaelin-Martin, Candice Fan, Luc Debaupte, Bill Wang, and Yi Zhong","title":"VoiceCodeBench: Evaluating Exact Structured-Token Recovery in Automatic Speech Recogniti... | CC-BY-4.0 | assets/e5a306c75d4c51a0d029227b5f71c30eb4dcf3b7a2df36244c22f1d9ac3dd064.pdf | e5a306c75d4c51a0d029227b5f71c30eb4dcf3b7a2df36244c22f1d9ac3dd064 | arxiv:2608.28916 | page | 1 | {"arxiv_id":"2608.28916","authors":"Tyler Baumgartner, Brandon Tai, Lisa Kaelin-Martin, Candice Fan, Luc Debaupte, Bill Wang, and Yi Zhong","title":"VoiceCodeBench: Evaluating Exact Structured-Token Recovery in Automatic Speech Recognition","url":"https://arxiv.org/abs/2608.28916v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.28916","authors":"Tyler Baumgartner, Brandon Tai, Lisa Kaelin-Martin, Candice Fan, Luc Debaupte, Bill Wang, and Yi Zhong","title":"VoiceCodeBench: Evaluating Exact Structured-Token Recovery in Automatic Speech Recogniti... | CC-BY-4.0 | assets/23d42b691b84e7244d063d010b55cdfedcdad4216a48403aba0c5c5478677077.pdf | 23d42b691b84e7244d063d010b55cdfedcdad4216a48403aba0c5c5478677077 | arxiv:2608.28916 | page | 2 | {"arxiv_id":"2608.28916","authors":"Tyler Baumgartner, Brandon Tai, Lisa Kaelin-Martin, Candice Fan, Luc Debaupte, Bill Wang, and Yi Zhong","title":"VoiceCodeBench: Evaluating Exact Structured-Token Recovery in Automatic Speech Recognition","url":"https://arxiv.org/abs/2608.28916v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.28916","authors":"Tyler Baumgartner, Brandon Tai, Lisa Kaelin-Martin, Candice Fan, Luc Debaupte, Bill Wang, and Yi Zhong","title":"VoiceCodeBench: Evaluating Exact Structured-Token Recovery in Automatic Speech Recogniti... | CC-BY-4.0 | assets/0cd3063829877413f154ce08f63d79cf6cfaafc7d54ecf7d625a8349a741ddb9.pdf | 0cd3063829877413f154ce08f63d79cf6cfaafc7d54ecf7d625a8349a741ddb9 | arxiv:2608.28916 | page | 4 | {"arxiv_id":"2608.28916","authors":"Tyler Baumgartner, Brandon Tai, Lisa Kaelin-Martin, Candice Fan, Luc Debaupte, Bill Wang, and Yi Zhong","title":"VoiceCodeBench: Evaluating Exact Structured-Token Recovery in Automatic Speech Recognition","url":"https://arxiv.org/abs/2608.28916v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[383.05,188.33,105.2,25.03],"bbox_pdf":[383.05,578.64,488.25,603.67],"fragments":[{"bbox_pdf":[383.05,578.64,488.25,603.67],"words":[2405,2406,2407,2408,2409,2410]}],"html":null,"kind":"paragraph","latex":"\\mathrm{CTEM}=\\frac{N_{\\mathrm{correct\\ entities}}}{N_{\\mathrm{target\\ %\nentities}}}","lev... | CC-BY-4.0 | assets/0cd3063829877413f154ce08f63d79cf6cfaafc7d54ecf7d625a8349a741ddb9.pdf | 0cd3063829877413f154ce08f63d79cf6cfaafc7d54ecf7d625a8349a741ddb9 | arxiv:2608.28916 | formula | 4 | {"arxiv_id":"2608.28916","authors":"Tyler Baumgartner, Brandon Tai, Lisa Kaelin-Martin, Candice Fan, Luc Debaupte, Bill Wang, and Yi Zhong","title":"VoiceCodeBench: Evaluating Exact Structured-Token Recovery in Automatic Speech Recognition","url":"https://arxiv.org/abs/2608.28916v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[378.06,274.98,115.18,25.03],"bbox_pdf":[378.06,491.99,493.24,517.02],"fragments":[{"bbox_pdf":[378.06,491.99,493.24,517.02],"words":[2441,2442,2443,2444,2445]}],"html":null,"kind":"paragraph","latex":"\\mathrm{TSR}=\\frac{N_{\\mathrm{successful\\ recordings}}}{N_{\\mathrm{recordings}}}","level":null,"... | CC-BY-4.0 | assets/0cd3063829877413f154ce08f63d79cf6cfaafc7d54ecf7d625a8349a741ddb9.pdf | 0cd3063829877413f154ce08f63d79cf6cfaafc7d54ecf7d625a8349a741ddb9 | arxiv:2608.28916 | formula | 4 | {"arxiv_id":"2608.28916","authors":"Tyler Baumgartner, Brandon Tai, Lisa Kaelin-Martin, Candice Fan, Luc Debaupte, Bill Wang, and Yi Zhong","title":"VoiceCodeBench: Evaluating Exact Structured-Token Recovery in Automatic Speech Recognition","url":"https://arxiv.org/abs/2608.28916v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.28916","authors":"Tyler Baumgartner, Brandon Tai, Lisa Kaelin-Martin, Candice Fan, Luc Debaupte, Bill Wang, and Yi Zhong","title":"VoiceCodeBench: Evaluating Exact Structured-Token Recovery in Automatic Speech Recogniti... | CC-BY-4.0 | assets/25ba260bb170f3f001cc8b989872e32137538c525a42b754b85b3ce405b8a0d8.pdf | 25ba260bb170f3f001cc8b989872e32137538c525a42b754b85b3ce405b8a0d8 | arxiv:2608.28916 | page | 5 | {"arxiv_id":"2608.28916","authors":"Tyler Baumgartner, Brandon Tai, Lisa Kaelin-Martin, Candice Fan, Luc Debaupte, Bill Wang, and Yi Zhong","title":"VoiceCodeBench: Evaluating Exact Structured-Token Recovery in Automatic Speech Recognition","url":"https://arxiv.org/abs/2608.28916v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.28916","authors":"Tyler Baumgartner, Brandon Tai, Lisa Kaelin-Martin, Candice Fan, Luc Debaupte, Bill Wang, and Yi Zhong","title":"VoiceCodeBench: Evaluating Exact Structured-Token Recovery in Automatic Speech Recogniti... | CC-BY-4.0 | assets/69c1aa9be6716bd828ca0ad40c8eab61f1304ff22f66aeec8fb353ca41297d9f.pdf | 69c1aa9be6716bd828ca0ad40c8eab61f1304ff22f66aeec8fb353ca41297d9f | arxiv:2608.28916 | page | 7 | {"arxiv_id":"2608.28916","authors":"Tyler Baumgartner, Brandon Tai, Lisa Kaelin-Martin, Candice Fan, Luc Debaupte, Bill Wang, and Yi Zhong","title":"VoiceCodeBench: Evaluating Exact Structured-Token Recovery in Automatic Speech Recognition","url":"https://arxiv.org/abs/2608.28916v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.28916","authors":"Tyler Baumgartner, Brandon Tai, Lisa Kaelin-Martin, Candice Fan, Luc Debaupte, Bill Wang, and Yi Zhong","title":"VoiceCodeBench: Evaluating Exact Structured-Token Recovery in Automatic Speech Recogniti... | CC-BY-4.0 | assets/e5fadac0f27108f15bec03149032426697745992fa2d6507f55c7aef035a57ef.pdf | e5fadac0f27108f15bec03149032426697745992fa2d6507f55c7aef035a57ef | arxiv:2608.28916 | page | 8 | {"arxiv_id":"2608.28916","authors":"Tyler Baumgartner, Brandon Tai, Lisa Kaelin-Martin, Candice Fan, Luc Debaupte, Bill Wang, and Yi Zhong","title":"VoiceCodeBench: Evaluating Exact Structured-Token Recovery in Automatic Speech Recognition","url":"https://arxiv.org/abs/2608.28916v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.28930","authors":"Jungseob Lee, Jaehyung Seo, Heuiseok Lim","title":"The Hallucination Signal Is a Mean Shift: Why Simple Probes Suffice","url":"https://arxiv.org/abs/2608.28930v2","version":2},"blocks":[{"bbox":[92.17,... | CC-BY-4.0 | assets/464894b41485a4e61e7d25c6fbd3c46732fb0189e46b1ca5968a2e735f95b004.pdf | 464894b41485a4e61e7d25c6fbd3c46732fb0189e46b1ca5968a2e735f95b004 | arxiv:2608.28930 | page | 2 | {"arxiv_id":"2608.28930","authors":"Jungseob Lee, Jaehyung Seo, Heuiseok Lim","title":"The Hallucination Signal Is a Mean Shift: Why Simple Probes Suffice","url":"https://arxiv.org/abs/2608.28930v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.28930","authors":"Jungseob Lee, Jaehyung Seo, Heuiseok Lim","title":"The Hallucination Signal Is a Mean Shift: Why Simple Probes Suffice","url":"https://arxiv.org/abs/2608.28930v2","version":2},"blocks":[{"bbox":[70.87,... | CC-BY-4.0 | assets/58fe2af249c68c9f8f07d4a4c7d55c5659dbaaf8ed3eb7479b66713c11dc9121.pdf | 58fe2af249c68c9f8f07d4a4c7d55c5659dbaaf8ed3eb7479b66713c11dc9121 | arxiv:2608.28930 | page | 18 | {"arxiv_id":"2608.28930","authors":"Jungseob Lee, Jaehyung Seo, Heuiseok Lim","title":"The Hallucination Signal Is a Mean Shift: Why Simple Probes Suffice","url":"https://arxiv.org/abs/2608.28930v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1},"blocks":[{"bbox":[108.0,107.37,396.0,34.5],"bbox_pdf":[108.0,650.13,504.0... | CC-BY-4.0 | assets/7e3a2ac98ae159bb1a01b1a9e20d160c516f5771314ac5f78c371e3dd03c0060.pdf | 7e3a2ac98ae159bb1a01b1a9e20d160c516f5771314ac5f78c371e3dd03c0060 | arxiv:2608.28971 | page | 3 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[209.91,208.64,294.09,25.03],"bbox_pdf":[209.91,558.33,504.0,583.36],"fragments":[{"bbox_pdf":[209.91,558.33,504.0,583.36],"words":[997,998,1000,1001,1003,1011,1015,1016,1017,1018,1019,1020]}],"html":null,"kind":"paragraph","latex":"\\frac{1}{\\Phi(F,\\mathcal{C})}={\\left|\\kern-1.07639pt\\left|\\kern... | CC-BY-4.0 | assets/7e3a2ac98ae159bb1a01b1a9e20d160c516f5771314ac5f78c371e3dd03c0060.pdf | 7e3a2ac98ae159bb1a01b1a9e20d160c516f5771314ac5f78c371e3dd03c0060 | arxiv:2608.28971 | formula | 3 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[220.03,308.48,171.95,11.46],"bbox_pdf":[220.03,472.07,391.98,483.52],"fragments":[{"bbox_pdf":[220.03,472.07,391.98,483.52],"words":[1083,1084,1085,1089]}],"html":null,"kind":"paragraph","latex":"\\operatorname{diam}(\\mathcal{C})={\\left|\\kern-1.07639pt\\left|\\kern-1.07639pt%\n\\left|\\left(\\opera... | CC-BY-4.0 | assets/7e3a2ac98ae159bb1a01b1a9e20d160c516f5771314ac5f78c371e3dd03c0060.pdf | 7e3a2ac98ae159bb1a01b1a9e20d160c516f5771314ac5f78c371e3dd03c0060 | arxiv:2608.28971 | formula | 3 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[176.35,352.21,244.16,81.62],"bbox_pdf":[176.35,358.17,420.5,439.79],"fragments":[{"bbox_pdf":[176.35,358.17,420.5,439.79],"words":[1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1118,1119,1120,1121,1126,1128,1129,1130,1131,1136,1137,1138,1139,1143,1144,1145,1146,1150]}],"html":null,"kind"... | CC-BY-4.0 | assets/7e3a2ac98ae159bb1a01b1a9e20d160c516f5771314ac5f78c371e3dd03c0060.pdf | 7e3a2ac98ae159bb1a01b1a9e20d160c516f5771314ac5f78c371e3dd03c0060 | arxiv:2608.28971 | formula | 3 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[233.09,516.24,138.69,18.92],"bbox_pdf":[233.09,256.84,371.77,275.76],"fragments":[{"bbox_pdf":[233.09,256.84,371.77,275.76],"words":[1193,1194,1195,1196,1197,1199,1200,1202,1204]}],"html":null,"kind":"paragraph","latex":"G:=\\operatorname*{argmin}_{G^{\\prime}\\in\\operatorname{faces}(F)\\atop G^{\\pr... | CC-BY-4.0 | assets/7e3a2ac98ae159bb1a01b1a9e20d160c516f5771314ac5f78c371e3dd03c0060.pdf | 7e3a2ac98ae159bb1a01b1a9e20d160c516f5771314ac5f78c371e3dd03c0060 | arxiv:2608.28971 | formula | 3 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[141.81,573.01,318.48,23.48],"bbox_pdf":[141.81,195.52,460.29,218.99],"fragments":[{"bbox_pdf":[141.81,195.52,460.29,218.99],"words":[1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1232,1233,1235,1237]}],"html":null,"kind":"paragraph","latex":"\\Phi(F,C)=\\operatorname{dist}(G,\\mathcal{C}... | CC-BY-4.0 | assets/7e3a2ac98ae159bb1a01b1a9e20d160c516f5771314ac5f78c371e3dd03c0060.pdf | 7e3a2ac98ae159bb1a01b1a9e20d160c516f5771314ac5f78c371e3dd03c0060 | arxiv:2608.28971 | formula | 3 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","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":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1},"blocks":[{"bbox":[108.0,105.48,396.0,24.44],"bbox_pdf":[108.0,662.08,504.... | CC-BY-4.0 | assets/9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379.pdf | 9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379 | arxiv:2608.28971 | page | 4 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[182.27,137.45,247.47,12.48],"bbox_pdf":[182.27,642.07,429.73,654.55],"fragments":[{"bbox_pdf":[182.27,642.07,429.73,654.55],"words":[1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401]}],"html":null,"kind":"paragraph","latex":"\\operatorname{dist}(\\tilde{G},\\mathcal{C}[\\tild... | CC-BY-4.0 | assets/9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379.pdf | 9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379 | arxiv:2608.28971 | formula | 4 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[142.81,190.83,316.47,23.48],"bbox_pdf":[142.81,577.69,459.28,601.17],"fragments":[{"bbox_pdf":[142.81,577.69,459.28,601.17],"words":[1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1444,1445,1447,1449]}],"html":null,"kind":"paragraph","latex":"\\Phi(F,\\mathcal{C})\\leq\\operatorname{dist}... | CC-BY-4.0 | assets/9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379.pdf | 9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379 | arxiv:2608.28971 | formula | 4 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[234.91,274.48,142.18,11.46],"bbox_pdf":[234.91,506.07,377.09,517.52],"fragments":[{"bbox_pdf":[234.91,506.07,377.09,517.52],"words":[1494,1495,1496,1497,1498,1499,1500]}],"html":null,"kind":"paragraph","latex":"\\delta_{i}:=\\Phi(F_{i},\\mathcal{C}_{i})=\\operatorname{dist}(G_{i},\\mathcal{C}_%\n{i}[G... | CC-BY-4.0 | assets/9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379.pdf | 9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379 | arxiv:2608.28971 | formula | 4 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[264.67,336.37,239.33,23.86],"bbox_pdf":[264.67,431.77,504.0,455.63],"fragments":[{"bbox_pdf":[264.67,431.77,504.0,455.63],"words":[1564,1565,1566,1567,1568,1569,1570,1571]}],"html":null,"kind":"paragraph","latex":"\\|{\\mathbf{p}}-{\\mathbf{q}}\\|=\\frac{1}{{\\left|\\kern-1.07639pt\\left|\\kern-1.076%... | CC-BY-4.0 | assets/9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379.pdf | 9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379 | arxiv:2608.28971 | formula | 4 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[151.94,382.6,352.06,32.74],"bbox_pdf":[151.94,376.67,504.0,409.4],"fragments":[{"bbox_pdf":[151.94,376.67,504.0,409.4],"words":[1598,1599,1600,1601,1603,1604,1606,1607,1608,1609,1617,1621,1622,1623,1624,1625,1626,1627,1628]}],"html":null,"kind":"paragraph","latex":"\\frac{1}{\\Phi(F,\\mathcal{C})}\\ge... | CC-BY-4.0 | assets/9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379.pdf | 9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379 | arxiv:2608.28971 | formula | 4 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[219.08,441.93,173.16,12.58],"bbox_pdf":[219.08,337.49,392.25,350.07],"fragments":[{"bbox_pdf":[219.08,337.49,392.25,350.07],"words":[1643,1644,1645,1649,1650,1651,1652,1653,1654,1658,1659,1660]}],"html":null,"kind":"paragraph","latex":"{\\mathbf{p}}=({\\mathbf{p}}_{1},\\dots,{\\mathbf{p}}_{k}),{\\math... | CC-BY-4.0 | assets/9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379.pdf | 9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379 | arxiv:2608.28971 | formula | 4 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[142.07,505.86,327.86,12.58],"bbox_pdf":[142.07,273.55,469.93,286.14],"fragments":[{"bbox_pdf":[142.07,273.55,469.93,286.14],"words":[1713,1714,1715,1716,1717,1721,1722,1723,1724,1725,1726,1727,1731,1735,1736,1737,1738,1742,1743]}],"html":null,"kind":"paragraph","latex":"{\\mathbf{q}}^{1}=({\\mathbf{q}... | CC-BY-4.0 | assets/9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379.pdf | 9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379 | arxiv:2608.28971 | formula | 4 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[253.26,556.95,105.48,18.87],"bbox_pdf":[253.26,216.17,358.74,235.05],"fragments":[{"bbox_pdf":[253.26,216.17,358.74,235.05],"words":[1750,1751,1752,1753,1754,1755,1756]}],"html":null,"kind":"paragraph","latex":"\\displaystyle{\\left|\\kern-1.07639pt\\left|\\kern-1.07639pt\\left|1/\\boldsymbol{%\n\\del... | CC-BY-4.0 | assets/9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379.pdf | 9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379 | arxiv:2608.28971 | formula | 4 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[234.84,651.82,142.32,31.18],"bbox_pdf":[234.84,109.0,377.16,140.18],"fragments":[{"bbox_pdf":[234.84,109.0,377.16,140.18],"words":[1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843]}],"html":null,"kind":"paragraph","latex":"\\displaystyle 1 \\displaystyle=\\langle 1/\\boldsymbol{\\... | CC-BY-4.0 | assets/9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379.pdf | 9061d2d525b083cd4a19fece76bc8a8495839f704fa1dc4133a9256b19ea7379 | arxiv:2608.28971 | formula | 4 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","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":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1},"blocks":[{"bbox":[108.0,107.9,357.96,10.06],"bbox_pdf":[108.0,674.04,465.... | CC-BY-4.0 | assets/40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7.pdf | 40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7 | arxiv:2608.28971 | page | 10 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[233.04,129.93,145.91,11.09],"bbox_pdf":[233.04,650.98,378.95,662.07],"fragments":[{"bbox_pdf":[233.04,650.98,378.95,662.07],"words":[3998,3999,4000,4001,4002,4003,4004,4005,4006,4007,4008,4009,4010,4011]}],"html":null,"kind":"paragraph","latex":"\\mathcal{C}=\\{{\\mathbf{x}}\\in\\mathbb{R}^{2n}\\;|\\;... | CC-BY-4.0 | assets/40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7.pdf | 40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7 | arxiv:2608.28971 | formula | 10 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[136.15,234.57,336.57,83.29],"bbox_pdf":[136.15,474.15,472.72,557.43],"fragments":[{"bbox_pdf":[136.15,474.15,472.72,557.43],"words":[4117,4118,4119,4120,4121,4122,4123,4124,4125,4126,4127,4128,4129,4131,4132,4133,4134,4135,4136,4137,4138,4139,4140,4141,4142,4143,4144,4145,4146,4147,4148,4149,4150,4151... | CC-BY-4.0 | assets/40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7.pdf | 40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7 | arxiv:2608.28971 | formula | 10 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[135.36,341.16,332.34,34.42],"bbox_pdf":[135.36,416.43,467.7,450.84],"fragments":[{"bbox_pdf":[135.36,416.43,467.7,450.84],"words":[4213,4214,4215,4216,4217,4218,4220,4221,4222,4223,4224,4225,4226,4227,4228,4229,4230,4231,4232,4233,4234,4235,4236,4237,4238,4239,4240,4241,4243,4244,4245,4246,4247,4248,4... | CC-BY-4.0 | assets/40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7.pdf | 40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7 | arxiv:2608.28971 | formula | 10 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[269.61,397.88,72.79,24.23],"bbox_pdf":[269.61,369.89,342.39,394.12],"fragments":[{"bbox_pdf":[269.61,369.89,342.39,394.12],"words":[4251,4252,4253,4254,4255,4256,4257,4258]}],"html":null,"kind":"paragraph","latex":"\\Phi(\\mathcal{D})=\\frac{1}{\\sqrt{n-1}}.","level":null,"list_depth":null,"match":{"s... | CC-BY-4.0 | assets/40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7.pdf | 40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7 | arxiv:2608.28971 | formula | 10 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[215.71,451.11,180.08,12.58],"bbox_pdf":[215.71,328.31,395.79,340.89],"fragments":[{"bbox_pdf":[215.71,328.31,395.79,340.89],"words":[4269,4270,4271,4272,4273,4274,4275,4276,4277,4278,4279,4280,4281,4284]}],"html":null,"kind":"paragraph","latex":"\\mathcal{C}=\\{{\\mathbf{x}}\\in\\mathbb{R}^{n}\\;|\\;\... | CC-BY-4.0 | assets/40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7.pdf | 40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7 | arxiv:2608.28971 | formula | 10 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[212.42,505.43,187.17,25.57],"bbox_pdf":[212.42,261.0,399.59,286.57],"fragments":[{"bbox_pdf":[212.42,261.0,399.59,286.57],"words":[4318,4319,4320,4321,4322,4323,4324,4325,4326,4327,4328,4329,4330,4331,4335,4336,4337,4338]}],"html":null,"kind":"paragraph","latex":"\\Phi(\\mathcal{C})=\\frac{1}{\\|\\beg... | CC-BY-4.0 | assets/40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7.pdf | 40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7 | arxiv:2608.28971 | formula | 10 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[159.99,575.74,292.02,33.17],"bbox_pdf":[159.99,183.09,452.01,216.26],"fragments":[{"bbox_pdf":[159.99,183.09,452.01,216.26],"words":[4366,4367,4368,4369,4370,4371,4372,4373,4374,4375,4376,4377,4378,4379,4380,4381,4382,4383,4384,4385,4386,4387,4388,4389,4390,4391,4392,4393,4394,4395,4396,4397,4398,4399... | CC-BY-4.0 | assets/40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7.pdf | 40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7 | arxiv:2608.28971 | formula | 10 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[213.72,668.33,184.57,11.46],"bbox_pdf":[213.72,112.21,398.29,123.67],"fragments":[{"bbox_pdf":[213.72,112.21,398.29,123.67],"words":[4459,4460,4461,4462,4463,4464,4465,4466,4467,4468,4469,4470,4471,4472,4473]}],"html":null,"kind":"paragraph","latex":"F_{ij}=\\{{\\mathbf{x}}\\in\\mathcal{C}\\;|\\;x_{ij... | CC-BY-4.0 | assets/40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7.pdf | 40576ab50e770360d9d80099d24490e73f5a6ab260655cb48dee732b4245eed7 | arxiv:2608.28971 | formula | 10 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","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":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1},"blocks":[{"bbox":[108.0,107.37,395.42,26.59],"bbox_pdf":[108.0,658.04,503... | CC-BY-4.0 | assets/2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898.pdf | 2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898 | arxiv:2608.28971 | page | 11 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[202.18,140.79,198.51,11.46],"bbox_pdf":[202.18,639.75,400.69,651.21],"fragments":[{"bbox_pdf":[202.18,639.75,400.69,651.21],"words":[4519,4521,4522,4523,4524,4525,4526,4527,4528,4529,4530,4531,4532,4533,4534,4535]}],"html":null,"kind":"paragraph","latex":"I(F)=\\{i\\in[n]\\;|\\;x_{i}=0\\text{ for all ... | CC-BY-4.0 | assets/2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898.pdf | 2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898 | arxiv:2608.28971 | formula | 11 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[175.87,177.51,260.26,26.53],"bbox_pdf":[175.87,587.96,436.13,614.49],"fragments":[{"bbox_pdf":[175.87,587.96,436.13,614.49],"words":[4560,4561,4562,4563,4565,4567,4568,4569,4570,4571,4572,4573,4574,4575,4576,4577,4578,4579,4581,4582,4583,4584]}],"html":null,"kind":"paragraph","latex":"\\operatorname{d... | CC-BY-4.0 | assets/2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898.pdf | 2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898 | arxiv:2608.28971 | formula | 11 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[268.44,227.95,75.12,24.71],"bbox_pdf":[268.44,539.34,343.56,564.05],"fragments":[{"bbox_pdf":[268.44,539.34,343.56,564.05],"words":[4591,4592,4593,4594,4595,4596,4597,4598]}],"html":null,"kind":"paragraph","latex":"\\Phi(\\mathcal{C})\\geq\\frac{1}{\\sqrt{n^{2}-1}}.","level":null,"list_depth":null,"ma... | CC-BY-4.0 | assets/2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898.pdf | 2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898 | arxiv:2608.28971 | formula | 11 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[210.32,386.15,182.24,11.46],"bbox_pdf":[210.32,394.39,392.55,405.85],"fragments":[{"bbox_pdf":[210.32,394.39,392.55,405.85],"words":[4723,4725,4726,4727,4728,4729,4730,4731,4732,4733,4734,4735,4736,4737,4738]}],"html":null,"kind":"paragraph","latex":"J(F):=\\{i\\in[n]\\;|\\;\\left\\langle{\\mathbf{e}}... | CC-BY-4.0 | assets/2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898.pdf | 2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898 | arxiv:2608.28971 | formula | 11 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[249.12,460.79,254.88,11.46],"bbox_pdf":[249.12,319.75,504.0,331.21],"fragments":[{"bbox_pdf":[249.12,319.75,504.0,331.21],"words":[4821,4822,4823,4824,4825,4826,4827,4828,4829,4830,4831]}],"html":null,"kind":"paragraph","latex":"F=\\{{\\mathbf{x}}\\in\\mathcal{C}\\;|\\;\\left\\langle{\\mathbf{e}}_{j},... | CC-BY-4.0 | assets/2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898.pdf | 2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898 | arxiv:2608.28971 | formula | 11 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[186.68,612.58,238.63,26.52],"bbox_pdf":[186.68,152.9,425.32,179.42],"fragments":[{"bbox_pdf":[186.68,152.9,425.32,179.42],"words":[5019,5020,5021,5022,5024,5026,5027,5028,5029,5030,5031,5032,5033,5034,5035,5037,5038,5039,5040]}],"html":null,"kind":"paragraph","latex":"\\operatorname{dist}(\\operatorna... | CC-BY-4.0 | assets/2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898.pdf | 2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898 | arxiv:2608.28971 | formula | 11 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[279.25,663.01,53.49,23.58],"bbox_pdf":[279.25,105.41,332.75,128.99],"fragments":[{"bbox_pdf":[279.25,105.41,332.75,128.99],"words":[5047,5048,5049,5050,5051,5052]}],"html":null,"kind":"paragraph","latex":"\\Phi(\\mathcal{C})\\geq\\frac{1}{\\sqrt{n}}.","level":null,"list_depth":null,"match":{"src_place... | CC-BY-4.0 | assets/2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898.pdf | 2550aa098fc69050bf515088dbb54b7d32ac12b7d1dbb876501014a033536898 | arxiv:2608.28971 | formula | 11 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","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":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1},"blocks":[{"bbox":[108.0,108.0,396.0,33.87],"bbox_pdf":[108.0,650.13,504.0... | CC-BY-4.0 | assets/63aaded6b0993de8470506826a5ed90311ff01951cf69057e0efeb5173991b8b.pdf | 63aaded6b0993de8470506826a5ed90311ff01951cf69057e0efeb5173991b8b | arxiv:2608.28971 | page | 15 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","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":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","version":1},"blocks":[{"bbox":[108.0,108.0,396.0,21.92],"bbox_pdf":[108.0,662.08,504.0... | CC-BY-4.0 | assets/e70a219c10a276bd00be1f8c45d4c0e0a2089ac5a1573c60a7ad52a2b7e82cf1.pdf | e70a219c10a276bd00be1f8c45d4c0e0a2089ac5a1573c60a7ad52a2b7e82cf1 | arxiv:2608.28971 | page | 16 | {"arxiv_id":"2608.28971","authors":"Javier Pena and Elias Wirth","title":"Calculus of the Facial Distance","url":"https://arxiv.org/abs/2608.28971v1","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":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608... | CC-BY-4.0 | assets/d14d69108c2a128df3adfdbb8dbdc57238eda8f5cf97c1de863ffac275d4060e.pdf | d14d69108c2a128df3adfdbb8dbdc57238eda8f5cf97c1de863ffac275d4060e | arxiv:2608.28988 | page | 2 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","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":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608... | CC-BY-4.0 | assets/e7ffcc6dc429fd79bb7b4711673c01ab1c239bbb1ab59f31fcfa1f9a3d2e3673.pdf | e7ffcc6dc429fd79bb7b4711673c01ab1c239bbb1ab59f31fcfa1f9a3d2e3673 | arxiv:2608.28988 | page | 3 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[180.51,422.74,324.16,120.01],"bbox_pdf":[180.51,249.25,504.67,369.26],"fragments":[{"bbox_pdf":[180.51,249.25,504.67,369.26],"words":[1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,150... | CC-BY-4.0 | assets/e7ffcc6dc429fd79bb7b4711673c01ab1c239bbb1ab59f31fcfa1f9a3d2e3673.pdf | e7ffcc6dc429fd79bb7b4711673c01ab1c239bbb1ab59f31fcfa1f9a3d2e3673 | arxiv:2608.28988 | formula | 3 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[224.43,710.04,280.23,11.46],"bbox_pdf":[224.43,70.51,504.67,81.96],"fragments":[{"bbox_pdf":[224.43,70.51,504.67,81.96],"words":[1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1722,1723]}],"html":null,"kind":"paragraph","latex":"\\lambda_{j,i}=0,\\quad\\forall\\,j\\in[J],\\;i\\notin\\{L_{j},\\ldots... | CC-BY-4.0 | assets/e7ffcc6dc429fd79bb7b4711673c01ab1c239bbb1ab59f31fcfa1f9a3d2e3673.pdf | e7ffcc6dc429fd79bb7b4711673c01ab1c239bbb1ab59f31fcfa1f9a3d2e3673 | arxiv:2608.28988 | formula | 3 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","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":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608... | CC-BY-4.0 | assets/66c8bf350ae9e91a21ccc86dace925430705757b8b7c6378085a085d88401561.pdf | 66c8bf350ae9e91a21ccc86dace925430705757b8b7c6378085a085d88401561 | arxiv:2608.28988 | page | 7 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[258.51,523.3,96.17,27.17],"bbox_pdf":[258.51,241.53,354.68,268.7],"fragments":[{"bbox_pdf":[258.51,241.53,354.68,268.7],"words":[4229,4230,4231,4232,4233,4234,4235,4236,4237,4238,4239,4240,4241]}],"html":null,"kind":"paragraph","latex":"\\frac{|z_{\\mathrm{solver}}-z^{\\star}_{\\mathrm{ref}}|}{\\max\\... | CC-BY-4.0 | assets/66c8bf350ae9e91a21ccc86dace925430705757b8b7c6378085a085d88401561.pdf | 66c8bf350ae9e91a21ccc86dace925430705757b8b7c6378085a085d88401561 | arxiv:2608.28988 | formula | 7 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[213.19,617.44,185.62,38.75],"bbox_pdf":[213.19,135.81,398.81,174.56],"fragments":[{"bbox_pdf":[213.19,135.81,398.81,174.56],"words":[4316,4317,4318,4319,4320,4321,4322,4323,4324,4325,4326,4327,4328,4329]}],"html":null,"kind":"paragraph","latex":"\\operatorname{GeoTime}(t)=\\exp\\!\\left(\\frac{1}{n}\\... | CC-BY-4.0 | assets/66c8bf350ae9e91a21ccc86dace925430705757b8b7c6378085a085d88401561.pdf | 66c8bf350ae9e91a21ccc86dace925430705757b8b7c6378085a085d88401561 | arxiv:2608.28988 | formula | 7 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[190.59,685.23,230.81,31.19],"bbox_pdf":[190.59,75.58,421.4,106.77],"fragments":[{"bbox_pdf":[190.59,75.58,421.4,106.77],"words":[4362,4363,4364,4365,4366,4367,4368,4369,4370,4371,4372,4373,4374,4375,4376,4377,4378,4379,4380,4381,4382]}],"html":null,"kind":"paragraph","latex":"\\operatorname{GeoSpd}(\\... | CC-BY-4.0 | assets/66c8bf350ae9e91a21ccc86dace925430705757b8b7c6378085a085d88401561.pdf | 66c8bf350ae9e91a21ccc86dace925430705757b8b7c6378085a085d88401561 | arxiv:2608.28988 | formula | 7 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","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":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608... | CC-BY-4.0 | assets/2716ccaca56922a4eb9dcfb90b1ebb4b7159661cf7e2e621628c33522f4d7bef.pdf | 2716ccaca56922a4eb9dcfb90b1ebb4b7159661cf7e2e621628c33522f4d7bef | arxiv:2608.28988 | page | 11 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","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":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608... | CC-BY-4.0 | assets/dbc7de6bfb5b46ea057a851661db172a4ef24652ae5124c06a8a87b9de204681.pdf | dbc7de6bfb5b46ea057a851661db172a4ef24652ae5124c06a8a87b9de204681 | arxiv:2608.28988 | page | 15 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[164.22,111.6,340.45,42.94],"bbox_pdf":[164.22,637.46,504.67,680.4],"fragments":[{"bbox_pdf":[164.22,637.46,504.67,680.4],"words":[7779,7780,7781,7782,7783,7784,7785,7786,7787,7788,7789,7790,7791,7792,7793,7794,7796,7797,7798,7799,7800,7801,7802,7803,7804,7805,7806,7807,7808,7809,7810,7811,7813,7814,78... | CC-BY-4.0 | assets/dbc7de6bfb5b46ea057a851661db172a4ef24652ae5124c06a8a87b9de204681.pdf | dbc7de6bfb5b46ea057a851661db172a4ef24652ae5124c06a8a87b9de204681 | arxiv:2608.28988 | formula | 15 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[194.43,285.48,310.24,17.92],"bbox_pdf":[194.43,488.6,504.67,506.52],"fragments":[{"bbox_pdf":[194.43,488.6,504.67,506.52],"words":[7951,7952,7953,7956,7957,7958,7959,7960,7961,7962,7963,7964,7965,7967,7968,7969,7970,7971,7972,7973,7974,7975,7976,7977,7978]}],"html":null,"kind":"paragraph","latex":"z^{... | CC-BY-4.0 | assets/dbc7de6bfb5b46ea057a851661db172a4ef24652ae5124c06a8a87b9de204681.pdf | dbc7de6bfb5b46ea057a851661db172a4ef24652ae5124c06a8a87b9de204681 | arxiv:2608.28988 | formula | 15 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[246.78,708.91,117.96,13.55],"bbox_pdf":[246.78,69.54,364.73,83.09],"fragments":[{"bbox_pdf":[246.78,69.54,364.73,83.09],"words":[8365,8366,8367,8368,8369,8370,8371,8372]}],"html":null,"kind":"paragraph","latex":"LB\\leq z^{\\star}_{\\mathrm{Gurobi}}\\leq UB_{\\mathrm{validated}}","level":null,"list_de... | CC-BY-4.0 | assets/dbc7de6bfb5b46ea057a851661db172a4ef24652ae5124c06a8a87b9de204681.pdf | dbc7de6bfb5b46ea057a851661db172a4ef24652ae5124c06a8a87b9de204681 | arxiv:2608.28988 | formula | 15 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","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":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608... | CC-BY-4.0 | assets/73e2a234123850637cf204575553178f8a42e189f55c02cccb46cb02818a669b.pdf | 73e2a234123850637cf204575553178f8a42e189f55c02cccb46cb02818a669b | arxiv:2608.28988 | page | 18 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[248.39,591.75,256.28,31.18],"bbox_pdf":[248.39,169.07,504.67,200.25],"fragments":[{"bbox_pdf":[248.39,169.07,504.67,200.25],"words":[9684,9685,9686,9687,9688,9689,9690,9691,9692,9693,9694,9695,9696,9697]}],"html":null,"kind":"paragraph","latex":"\\min_{w,z}\\;-\\sum_{j=1}^{N}\\mu_{j}w_{j}+\\gamma\\sum... | CC-BY-4.0 | assets/73e2a234123850637cf204575553178f8a42e189f55c02cccb46cb02818a669b.pdf | 73e2a234123850637cf204575553178f8a42e189f55c02cccb46cb02818a669b | arxiv:2608.28988 | formula | 18 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[280.64,691.45,224.02,20.92],"bbox_pdf":[280.64,79.63,504.67,100.55],"fragments":[{"bbox_pdf":[280.64,79.63,504.67,100.55],"words":[9740,9741,9742,9743,9744,9745,9746]}],"html":null,"kind":"paragraph","latex":"\\sum_{j=1}^{N}w_{j}\\leq C.","level":null,"list_depth":null,"match":{"src_placed":1.0,"verif... | CC-BY-4.0 | assets/73e2a234123850637cf204575553178f8a42e189f55c02cccb46cb02818a669b.pdf | 73e2a234123850637cf204575553178f8a42e189f55c02cccb46cb02818a669b | arxiv:2608.28988 | formula | 18 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","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":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608... | CC-BY-4.0 | assets/9c1bbfc34270c656eeb138b9873d3d266bcdd660d5731e6bcdad50a0d1e4b657.pdf | 9c1bbfc34270c656eeb138b9873d3d266bcdd660d5731e6bcdad50a0d1e4b657 | arxiv:2608.28988 | page | 19 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[266.11,77.58,238.56,35.03],"bbox_pdf":[266.11,679.38,504.67,714.42],"fragments":[{"bbox_pdf":[266.11,679.38,504.67,714.42],"words":[9769,9771,9772,9773,9774,9775,9776,9777,9778,9779,9780,9781]}],"html":null,"kind":"paragraph","latex":"\\sum_{j=1}^{N}\\sigma_{i,j}w_{j}\\leq B_{i}^{\\mathrm{risk}},","le... | CC-BY-4.0 | assets/9c1bbfc34270c656eeb138b9873d3d266bcdd660d5731e6bcdad50a0d1e4b657.pdf | 9c1bbfc34270c656eeb138b9873d3d266bcdd660d5731e6bcdad50a0d1e4b657 | arxiv:2608.28988 | formula | 19 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[266.64,153.84,238.03,31.8],"bbox_pdf":[266.64,606.37,504.67,638.16],"fragments":[{"bbox_pdf":[266.64,606.37,504.67,638.16],"words":[9817,9818,9819,9820,9821,9822,9823,9824,9825,9826]}],"html":null,"kind":"paragraph","latex":"\\sum_{j:\\,s(j)=s}w_{j}\\leq B_{s}^{\\mathrm{sec}}.","level":null,"list_dept... | CC-BY-4.0 | assets/9c1bbfc34270c656eeb138b9873d3d266bcdd660d5731e6bcdad50a0d1e4b657.pdf | 9c1bbfc34270c656eeb138b9873d3d266bcdd660d5731e6bcdad50a0d1e4b657 | arxiv:2608.28988 | formula | 19 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[257.24,251.68,247.43,91.28],"bbox_pdf":[257.24,449.04,504.67,540.32],"fragments":[{"bbox_pdf":[257.24,449.04,504.67,540.32],"words":[9884,9885,9886,9887,9888,9889,9890,9891,9892,9893,9894,9895,9896,9897,9898,9899,9900,9901,9902,9903,9904]}],"html":null,"kind":"paragraph","latex":"\\begin{aligned} \\di... | CC-BY-4.0 | assets/9c1bbfc34270c656eeb138b9873d3d266bcdd660d5731e6bcdad50a0d1e4b657.pdf | 9c1bbfc34270c656eeb138b9873d3d266bcdd660d5731e6bcdad50a0d1e4b657 | arxiv:2608.28988 | formula | 19 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[207.94,415.77,296.72,259.79],"bbox_pdf":[207.94,116.44,504.67,376.23],"fragments":[{"bbox_pdf":[207.94,116.44,504.67,376.23],"words":[9939,9940,9941,9942,9943,9944,9945,9946,9947,9948,9949,9950,9951,9952,9953,9954,9955,9956,9957,9958,9959,9960,9961,9962,9963,9964,9968,9969,9970,9971,9972,9973,9974,997... | CC-BY-4.0 | assets/9c1bbfc34270c656eeb138b9873d3d266bcdd660d5731e6bcdad50a0d1e4b657.pdf | 9c1bbfc34270c656eeb138b9873d3d266bcdd660d5731e6bcdad50a0d1e4b657 | arxiv:2608.28988 | formula | 19 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[206.36,710.04,298.31,12.45],"bbox_pdf":[206.36,69.51,504.67,81.96],"fragments":[{"bbox_pdf":[206.36,69.51,504.67,81.96],"words":[10066,10067,10068,10069,10070,10071,10072,10073,10074,10075,10076,10077]}],"html":null,"kind":"paragraph","latex":"[\\underline{w}_{j},\\overline{w}_{j}]=[m_{j}-0.35\\,\\mat... | CC-BY-4.0 | assets/9c1bbfc34270c656eeb138b9873d3d266bcdd660d5731e6bcdad50a0d1e4b657.pdf | 9c1bbfc34270c656eeb138b9873d3d266bcdd660d5731e6bcdad50a0d1e4b657 | arxiv:2608.28988 | formula | 19 | {"arxiv_id":"2608.28988","authors":"Yilin Guan, Shuqing Luo, Pingzhi Li, Tianlong Chen, Kaidi Xu","title":"B$^3$-PWL: GPU-Batched Branch-and-Bound for Piecewise-Linear Optimization with SOS2 Constraints","url":"https://arxiv.org/abs/2608.28988v1","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":"2608.29042","authors":"Yu-Ji Shi, Jun Zeng","title":"Towards power corrections in the factorization of baryon quasi-distribution amplitudes in LaMET","url":"https://arxiv.org/abs/2608.29042v1","version":1},"blocks":[{"bbox":... | CC-BY-4.0 | assets/c97e1804e2cafe6b50894917efda3c7cd7c336a47eb93d35617af41b541f4d9b.pdf | c97e1804e2cafe6b50894917efda3c7cd7c336a47eb93d35617af41b541f4d9b | arxiv:2608.29042 | page | 4 | {"arxiv_id":"2608.29042","authors":"Yu-Ji Shi, Jun Zeng","title":"Towards power corrections in the factorization of baryon quasi-distribution amplitudes in LaMET","url":"https://arxiv.org/abs/2608.29042v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[129.32,446.15,336.64,64.82],"bbox_pdf":[129.32,330.92,465.96,395.74],"fragments":[{"bbox_pdf":[129.32,330.92,465.96,395.74],"words":[1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1295,1296,1297,1298,1300,1301,1302,1304,1305,1306,1307,1309,1310,1311,1312,1313... | CC-BY-4.0 | assets/c97e1804e2cafe6b50894917efda3c7cd7c336a47eb93d35617af41b541f4d9b.pdf | c97e1804e2cafe6b50894917efda3c7cd7c336a47eb93d35617af41b541f4d9b | arxiv:2608.29042 | formula | 4 | {"arxiv_id":"2608.29042","authors":"Yu-Ji Shi, Jun Zeng","title":"Towards power corrections in the factorization of baryon quasi-distribution amplitudes in LaMET","url":"https://arxiv.org/abs/2608.29042v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[207.73,618.11,179.81,27.93],"bbox_pdf":[207.73,195.85,387.54,223.78],"fragments":[{"bbox_pdf":[207.73,195.85,387.54,223.78],"words":[1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1454]}],"html":null,"kind":"paragraph","latex":"W(tn)=\\mathcal{P}\\exp\\left[ig_{s}\\int_{t}^{\\infty}\... | CC-BY-4.0 | assets/c97e1804e2cafe6b50894917efda3c7cd7c336a47eb93d35617af41b541f4d9b.pdf | c97e1804e2cafe6b50894917efda3c7cd7c336a47eb93d35617af41b541f4d9b | arxiv:2608.29042 | formula | 4 | {"arxiv_id":"2608.29042","authors":"Yu-Ji Shi, Jun Zeng","title":"Towards power corrections in the factorization of baryon quasi-distribution amplitudes in LaMET","url":"https://arxiv.org/abs/2608.29042v1","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":"2608.29042","authors":"Yu-Ji Shi, Jun Zeng","title":"Towards power corrections in the factorization of baryon quasi-distribution amplitudes in LaMET","url":"https://arxiv.org/abs/2608.29042v1","version":1},"blocks":[{"bbox":... | CC-BY-4.0 | assets/3263aafe3bf0690285f92109d87f89d9fb82c046fbcddef513c2cfd50a269026.pdf | 3263aafe3bf0690285f92109d87f89d9fb82c046fbcddef513c2cfd50a269026 | arxiv:2608.29042 | page | 5 | {"arxiv_id":"2608.29042","authors":"Yu-Ji Shi, Jun Zeng","title":"Towards power corrections in the factorization of baryon quasi-distribution amplitudes in LaMET","url":"https://arxiv.org/abs/2608.29042v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[135.19,98.13,376.74,30.61],"bbox_pdf":[135.19,713.15,511.94,743.76],"fragments":[{"bbox_pdf":[135.19,713.15,511.94,743.76],"words":[1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542]}],"html":null,"kind":"paragraph","latex":"\\mathc... | CC-BY-4.0 | assets/3263aafe3bf0690285f92109d87f89d9fb82c046fbcddef513c2cfd50a269026.pdf | 3263aafe3bf0690285f92109d87f89d9fb82c046fbcddef513c2cfd50a269026 | arxiv:2608.29042 | formula | 5 | {"arxiv_id":"2608.29042","authors":"Yu-Ji Shi, Jun Zeng","title":"Towards power corrections in the factorization of baryon quasi-distribution amplitudes in LaMET","url":"https://arxiv.org/abs/2608.29042v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
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