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Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[218.44,442.05,343.66,24.16],"bbox_pdf":[218.44,375.68,562.1,399.84],"fragments":[{"bbox_pdf":[218.44,375.68,562.1,399.84],"words":[1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial^{2}\\p... | CC-BY-4.0 | assets/12003d117e3dfd645a8c0e287e44f5ea7565c3396f97612145c89fdbbd0d22ed.pdf | 12003d117e3dfd645a8c0e287e44f5ea7565c3396f97612145c89fdbbd0d22ed | arxiv:2608.11370 | formula | 3 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
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Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[265.15,563.88,296.94,20.46],"bbox_pdf":[265.15,257.55,562.09,278.01],"fragments":[{"bbox_pdf":[265.15,257.55,562.09,278.01],"words":[1722,1723,1724,1725,1726,1727,1728,1729]}],"html":null,"kind":"paragraph","latex":"\\partial_{x}\\phi=\\pm\\sqrt{2V(\\phi,s)}.","level":null,"list_depth":null,"match":{"... | CC-BY-4.0 | assets/12003d117e3dfd645a8c0e287e44f5ea7565c3396f97612145c89fdbbd0d22ed.pdf | 12003d117e3dfd645a8c0e287e44f5ea7565c3396f97612145c89fdbbd0d22ed | arxiv:2608.11370 | formula | 3 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[194.24,652.11,367.85,25.8],"bbox_pdf":[194.24,163.97,562.09,189.78],"fragments":[{"bbox_pdf":[194.24,163.97,562.09,189.78],"words":[1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825]}],"html":null,"kind":"paragraph","latex":"\\frac{d\\phi}{dx}=\\sqrt{2... | CC-BY-4.0 | assets/12003d117e3dfd645a8c0e287e44f5ea7565c3396f97612145c89fdbbd0d22ed.pdf | 12003d117e3dfd645a8c0e287e44f5ea7565c3396f97612145c89fdbbd0d22ed | arxiv:2608.11370 | formula | 3 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[194.24,699.75,367.85,25.8],"bbox_pdf":[194.24,116.34,562.09,142.14],"fragments":[{"bbox_pdf":[194.24,116.34,562.09,142.14],"words":[1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858]}],"html":null,"kind":"paragraph","latex":"\\frac{d\\phi}{dx}=-\\sqrt{... | CC-BY-4.0 | assets/12003d117e3dfd645a8c0e287e44f5ea7565c3396f97612145c89fdbbd0d22ed.pdf | 12003d117e3dfd645a8c0e287e44f5ea7565c3396f97612145c89fdbbd0d22ed | arxiv:2608.11370 | formula | 3 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","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":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2},"blocks":[{"bbox":[54... | CC-BY-4.0 | assets/8b381603ec088d032564b1f90032474b1ff291345f32b378a33557256b5ccba6.pdf | 8b381603ec088d032564b1f90032474b1ff291345f32b378a33557256b5ccba6 | arxiv:2608.11370 | page | 4 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[202.14,396.4,359.95,69.6],"bbox_pdf":[202.14,375.89,562.09,445.49],"fragments":[{"bbox_pdf":[202.14,375.89,562.09,445.49],"words":[1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1... | CC-BY-4.0 | assets/8b381603ec088d032564b1f90032474b1ff291345f32b378a33557256b5ccba6.pdf | 8b381603ec088d032564b1f90032474b1ff291345f32b378a33557256b5ccba6 | arxiv:2608.11370 | formula | 4 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[248.19,624.03,313.9,13.55],"bbox_pdf":[248.19,204.31,562.09,217.86],"fragments":[{"bbox_pdf":[248.19,204.31,562.09,217.86],"words":[2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141]}],"html":null,"kind":"paragraph","latex":"\\left(-\\partial_{x}^{2}+U\\left(\\phi\\right)\\right)\\eta(x)=\\o... | CC-BY-4.0 | assets/8b381603ec088d032564b1f90032474b1ff291345f32b378a33557256b5ccba6.pdf | 8b381603ec088d032564b1f90032474b1ff291345f32b378a33557256b5ccba6 | arxiv:2608.11370 | formula | 4 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[269.64,657.18,292.46,34.37],"bbox_pdf":[269.64,150.33,562.1,184.71],"fragments":[{"bbox_pdf":[269.64,150.33,562.1,184.71],"words":[2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166]}],"html":null,"kind":"paragraph","latex":"U(x)=\\frac{d^{2}V}{d\\phi^{2}}\\bigg{|}_{\\phi(x)}."... | CC-BY-4.0 | assets/8b381603ec088d032564b1f90032474b1ff291345f32b378a33557256b5ccba6.pdf | 8b381603ec088d032564b1f90032474b1ff291345f32b378a33557256b5ccba6 | arxiv:2608.11370 | formula | 4 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","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":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2},"blocks":[{"bbox":[54... | CC-BY-4.0 | assets/c230fb52dc295db1e81d70b98be51258c871f348f6452cea29019663f14c685d.pdf | c230fb52dc295db1e81d70b98be51258c871f348f6452cea29019663f14c685d | arxiv:2608.11370 | page | 5 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[111.13,369.54,450.97,42.05],"bbox_pdf":[111.13,430.29,562.09,472.35],"fragments":[{"bbox_pdf":[111.13,430.29,562.09,472.35],"words":[2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2270,2271... | CC-BY-4.0 | assets/c230fb52dc295db1e81d70b98be51258c871f348f6452cea29019663f14c685d.pdf | c230fb52dc295db1e81d70b98be51258c871f348f6452cea29019663f14c685d | arxiv:2608.11370 | formula | 5 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[238.43,611.45,323.67,11.76],"bbox_pdf":[238.43,218.67,562.1,230.44],"fragments":[{"bbox_pdf":[238.43,218.67,562.1,230.44],"words":[2571,2572,2573,2574,2575,2576,2577,2578]}],"html":null,"kind":"paragraph","latex":"\\phi(x;s)=\\phi_{\\mathrm{B(W)}}(x;s)+\\varepsilon\\eta_{-1}(x),","level":null,"list_de... | CC-BY-4.0 | assets/c230fb52dc295db1e81d70b98be51258c871f348f6452cea29019663f14c685d.pdf | c230fb52dc295db1e81d70b98be51258c871f348f6452cea29019663f14c685d | arxiv:2608.11370 | formula | 5 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","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":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2},"blocks":[{"bbox":[54... | CC-BY-4.0 | assets/742e3bd612791941de253306bc2554e56d8264af5a28a562cf84efa4ffde95fc.pdf | 742e3bd612791941de253306bc2554e56d8264af5a28a562cf84efa4ffde95fc | arxiv:2608.11370 | page | 6 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[146.36,552.74,415.74,26.66],"bbox_pdf":[146.36,262.49,562.1,289.15],"fragments":[{"bbox_pdf":[146.36,262.49,562.1,289.15],"words":[2976,2977,2978,2979,2980,2981,2982,2983,2984,2985,2987,2988,2989,2990,2991,2992,2993,2994,2995,2996,2997,2998,2999,3000,3001,3002]}],"html":null,"kind":"paragraph","latex"... | CC-BY-4.0 | assets/742e3bd612791941de253306bc2554e56d8264af5a28a562cf84efa4ffde95fc.pdf | 742e3bd612791941de253306bc2554e56d8264af5a28a562cf84efa4ffde95fc | arxiv:2608.11370 | formula | 6 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[173.21,644.19,388.88,11.76],"bbox_pdf":[173.21,185.94,562.1,197.7],"fragments":[{"bbox_pdf":[173.21,185.94,562.1,197.7],"words":[3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,3069,3070,3071,3072,3073,3074,3075]}],"html":null,"kind":"paragraph","latex":"\\phi_{\\mathrm{init}}(x,t;s)=\\phi_{\\m... | CC-BY-4.0 | assets/742e3bd612791941de253306bc2554e56d8264af5a28a562cf84efa4ffde95fc.pdf | 742e3bd612791941de253306bc2554e56d8264af5a28a562cf84efa4ffde95fc | arxiv:2608.11370 | formula | 6 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[188.88,696.5,373.22,27.31],"bbox_pdf":[188.88,118.08,562.09,145.39],"fragments":[{"bbox_pdf":[188.88,118.08,562.09,145.39],"words":[3124,3125,3126,3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,3147,3148,3149,3150]}],"html":null,"kind":"paragraph","... | CC-BY-4.0 | assets/742e3bd612791941de253306bc2554e56d8264af5a28a562cf84efa4ffde95fc.pdf | 742e3bd612791941de253306bc2554e56d8264af5a28a562cf84efa4ffde95fc | arxiv:2608.11370 | formula | 6 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","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":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2},"blocks":[{"bbox":[54... | CC-BY-4.0 | assets/ab61a69194c95b3f049bdc59895343a0b9064d3b3538475a48c98dec88b5c866.pdf | ab61a69194c95b3f049bdc59895343a0b9064d3b3538475a48c98dec88b5c866 | arxiv:2608.11370 | page | 7 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","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":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2},"blocks":[{"bbox":[54... | CC-BY-4.0 | assets/091de8ad36da537f583a1d5d2aa929e5ba0e90b8c00de31e91bf19e63d19b6a7.pdf | 091de8ad36da537f583a1d5d2aa929e5ba0e90b8c00de31e91bf19e63d19b6a7 | arxiv:2608.11370 | page | 8 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","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":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2},"blocks":[{"bbox":[54... | CC-BY-4.0 | assets/b6fb987f0149854115ef79de13958c96ee9f5dc5964b1ee43aeaab68067c0dd9.pdf | b6fb987f0149854115ef79de13958c96ee9f5dc5964b1ee43aeaab68067c0dd9 | arxiv:2608.11370 | page | 9 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","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":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2},"blocks":[{"bbox":[55... | CC-BY-4.0 | assets/e22d4355458661668d0ef5a29bf80f008c5fc50de2c84cd02eddc78f251283f6.pdf | e22d4355458661668d0ef5a29bf80f008c5fc50de2c84cd02eddc78f251283f6 | arxiv:2608.11370 | page | 10 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","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":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2},"blocks":[{"bbox":[55... | CC-BY-4.0 | assets/a6052da51165b947e1982b511a491416be95c157d890e72cc53f365043473c40.pdf | a6052da51165b947e1982b511a491416be95c157d890e72cc53f365043473c40 | arxiv:2608.11370 | page | 11 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","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":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2},"blocks":[{"bbox":[55... | CC-BY-4.0 | assets/65782d87e257a91d0df2b17bc4f01268674dc24988f0eaf29764f496b1b94b61.pdf | 65782d87e257a91d0df2b17bc4f01268674dc24988f0eaf29764f496b1b94b61 | arxiv:2608.11370 | page | 12 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","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":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","version":2},"blocks":[{"bbox":[55... | CC-BY-4.0 | assets/5128330356d8ed52d3172daf060eb5cc3f14b541ae3525d43b2015b17f83d519.pdf | 5128330356d8ed52d3172daf060eb5cc3f14b541ae3525d43b2015b17f83d519 | arxiv:2608.11370 | page | 13 | {"arxiv_id":"2608.11370","authors":"Manuel A. Mart\\'inez S\\'anchez, Christoph Adam, Danial Saadatmand","title":"False-vacuum bubbles in sphaleron scattering","url":"https://arxiv.org/abs/2608.11370v2","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":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","ve... | CC-BY-4.0 | assets/470a91049c3e35fd8d1d549b49390c82f614681faaa41cb326e7653cec2eb8b5.pdf | 470a91049c3e35fd8d1d549b49390c82f614681faaa41cb326e7653cec2eb8b5 | arxiv:2608.11936 | page | 2 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","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":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","ve... | CC-BY-4.0 | assets/126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53.pdf | 126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53 | arxiv:2608.11936 | page | 16 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[141.11,79.3,383.44,25.77],"bbox_pdf":[141.11,736.82,524.56,762.59],"fragments":[{"bbox_pdf":[141.11,736.82,524.56,762.59],"words":[7055,7056,7057,7058,7059,7060,7061,7062,7063,7064,7065,7066,7067,7068,7069,7070,7071,7072,7073,7074,7075,7076,7077,7079,7080,7081,7082,7083,7084,7085,7087,7088,7089]}],"ht... | CC-BY-4.0 | assets/126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53.pdf | 126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53 | arxiv:2608.11936 | formula | 16 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[89.28,133.28,435.27,74.15],"bbox_pdf":[89.28,634.47,524.55,708.61],"fragments":[{"bbox_pdf":[89.28,634.47,524.55,708.61],"words":[7099,7100,7101,7102,7103,7104,7105,7106,7107,7108,7109,7110,7111,7112,7113,7114,7115,7116,7117,7118,7120,7121,7122,7123,7124,7126,7127,7128,7129,7130,7131,7132,7134,7135,71... | CC-BY-4.0 | assets/126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53.pdf | 126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53 | arxiv:2608.11936 | formula | 16 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[128.3,226.3,396.25,102.58],"bbox_pdf":[128.3,513.01,524.55,615.59],"fragments":[{"bbox_pdf":[128.3,513.01,524.55,615.59],"words":[7208,7209,7210,7211,7212,7213,7214,7215,7216,7217,7218,7219,7220,7221,7222,7223,7224,7225,7226,7227,7228,7229,7230,7231,7232,7233,7234,7236,7237,7238,7239,7240,7242,7243,72... | CC-BY-4.0 | assets/126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53.pdf | 126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53 | arxiv:2608.11936 | formula | 16 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[220.37,361.39,304.18,28.32],"bbox_pdf":[220.37,452.18,524.56,480.5],"fragments":[{"bbox_pdf":[220.37,452.18,524.56,480.5],"words":[7313,7314,7315,7316,7317,7318,7319,7320,7321,7322,7323,7324,7325,7326,7327,7328,7329,7330,7331]}],"html":null,"kind":"paragraph","latex":"x_{b}^{p}-x_{i}=\\Delta t\\,\\mu+... | CC-BY-4.0 | assets/126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53.pdf | 126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53 | arxiv:2608.11936 | formula | 16 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[152.98,420.28,282.75,103.05],"bbox_pdf":[152.98,318.56,435.73,421.61],"fragments":[{"bbox_pdf":[152.98,318.56,435.73,421.61],"words":[7345,7346,7347,7348,7349,7350,7351,7352,7354,7355,7356,7357,7358,7359,7360,7361,7362,7363,7364,7365,7367,7368,7369,7370,7371,7372,7374,7375,7376,7377,7378,7379,7380,738... | CC-BY-4.0 | assets/126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53.pdf | 126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53 | arxiv:2608.11936 | formula | 16 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[217.88,556.26,159.51,28.11],"bbox_pdf":[217.88,257.51,377.39,285.63],"fragments":[{"bbox_pdf":[217.88,257.51,377.39,285.63],"words":[7460,7461,7462,7463,7464,7465,7466,7467,7468,7469,7470,7471,7472,7473]}],"html":null,"kind":"paragraph","latex":"D\\phi_{n,i}\\cdot\\delta+\\frac{\\widetilde{d}}{2}D\\ph... | CC-BY-4.0 | assets/126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53.pdf | 126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53 | arxiv:2608.11936 | formula | 16 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[197.18,616.38,202.11,28.11],"bbox_pdf":[197.18,197.39,399.29,225.51],"fragments":[{"bbox_pdf":[197.18,197.39,399.29,225.51],"words":[7481,7482,7483,7484,7485,7486,7487,7488,7489,7490,7491,7493,7494,7495,7496,7497,7498,7499,7500,7501,7502,7503,7504,7505]}],"html":null,"kind":"paragraph","latex":"\\frac... | CC-BY-4.0 | assets/126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53.pdf | 126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53 | arxiv:2608.11936 | formula | 16 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[150.92,689.49,255.09,83.77],"bbox_pdf":[150.92,68.63,406.01,152.4],"fragments":[{"bbox_pdf":[150.92,68.63,406.01,152.4],"words":[7529,7530,7531,7532,7533,7534,7535,7536,7537,7538,7539,7540,7541,7542,7543,7544,7545,7546,7547,7548,7549,7550,7551,7552,7553,7554,7555,7556,7557,7558,7559,7560,7561,7563,756... | CC-BY-4.0 | assets/126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53.pdf | 126c4079ea381fd20f4736dd101d2fbe0364b9e20e8cc561b7af6cef53e2ba53 | arxiv:2608.11936 | formula | 16 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","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":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","ve... | CC-BY-4.0 | assets/0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2.pdf | 0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2 | arxiv:2608.11936 | page | 19 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[221.44,88.08,152.4,31.73],"bbox_pdf":[221.44,722.08,373.84,753.81],"fragments":[{"bbox_pdf":[221.44,722.08,373.84,753.81],"words":[8495,8496,8497,8498,8500,8501,8502,8503,8504,8505,8506,8507,8508,8509,8510,8511,8512,8513,8514,8515,8516]}],"html":null,"kind":"paragraph","latex":"-\\widetilde{d}\\,\\wid... | CC-BY-4.0 | assets/0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2.pdf | 0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2 | arxiv:2608.11936 | formula | 19 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[145.04,220.81,379.52,71.71],"bbox_pdf":[145.04,549.37,524.55,621.08],"fragments":[{"bbox_pdf":[145.04,549.37,524.55,621.08],"words":[8590,8591,8592,8593,8594,8595,8596,8597,8598,8599,8600,8601,8602,8603,8604,8605,8606,8607,8608,8609,8610,8611,8612,8613,8614,8615,8616,8617,8618,8619,8620,8622,8623,8625... | CC-BY-4.0 | assets/0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2.pdf | 0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2 | arxiv:2608.11936 | formula | 19 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[120.66,373.19,353.96,31.73],"bbox_pdf":[120.66,436.97,474.62,468.7],"fragments":[{"bbox_pdf":[120.66,436.97,474.62,468.7],"words":[8725,8726,8727,8728,8729,8730,8731,8732,8733,8734,8735,8736,8737,8738,8739,8740,8741,8742,8743,8745,8747,8748,8749,8750,8751,8752,8753,8754,8755,8756,8757,8758,8759,8760,8... | CC-BY-4.0 | assets/0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2.pdf | 0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2 | arxiv:2608.11936 | formula | 19 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[144.47,436.07,306.34,31.7],"bbox_pdf":[144.47,374.12,450.81,405.82],"fragments":[{"bbox_pdf":[144.47,374.12,450.81,405.82],"words":[8780,8781,8782,8783,8784,8785,8786,8787,8788,8789,8790,8791,8792,8793,8794,8795,8796,8797,8798,8799]}],"html":null,"kind":"paragraph","latex":"\\mathcal{S}_{n,i}^{a,b}[\\... | CC-BY-4.0 | assets/0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2.pdf | 0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2 | arxiv:2608.11936 | formula | 19 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[204.72,505.14,319.83,12.55],"bbox_pdf":[204.72,324.21,524.55,336.75],"fragments":[{"bbox_pdf":[204.72,324.21,524.55,336.75],"words":[8807,8808,8809,8810,8811,8812,8813,8814,8815,8816]}],"html":null,"kind":"paragraph","latex":"S_{n,i}[\\psi(t_{n+1},\\cdot)]-\\psi(t_{n},x_{i})\\leq-3\\Delta t<0.","level... | CC-BY-4.0 | assets/0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2.pdf | 0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2 | arxiv:2608.11936 | formula | 19 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[116.95,553.95,261.71,16.38],"bbox_pdf":[116.95,271.55,378.65,287.94],"fragments":[{"bbox_pdf":[116.95,271.55,378.65,287.94],"words":[8834,8835,8836,8837,8838,8839,8840,8841,8842,8843,8844,8845,8846,8847,8848,8849]}],"html":null,"kind":"paragraph","latex":"\\mathcal{S}_{n,i}^{\\partial,b}[\\psi(t_{n},\... | CC-BY-4.0 | assets/0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2.pdf | 0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2 | arxiv:2608.11936 | formula | 19 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[402.29,553.95,76.03,16.38],"bbox_pdf":[402.29,271.55,478.33,287.94],"fragments":[{"bbox_pdf":[402.29,271.55,478.33,287.94],"words":[8850,8851,8852,8853,8854,8855,8856,8857,8858,8859]}],"html":null,"kind":"paragraph","latex":"\\mathcal{S}_{n,i}^{\\partial,b}[\\psi(t_{n},\\cdot)]-\\psi(t_{n},x_{i})=-\\e... | CC-BY-4.0 | assets/0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2.pdf | 0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2 | arxiv:2608.11936 | formula | 19 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[179.03,603.47,237.21,25.77],"bbox_pdf":[179.03,212.65,416.24,238.42],"fragments":[{"bbox_pdf":[179.03,212.65,416.24,238.42],"words":[8866,8867,8868,8869,8870,8871,8872,8873,8874,8875,8876,8877,8878,8879,8880,8881,8882]}],"html":null,"kind":"paragraph","latex":"\\mathcal{S}_{n,i}^{\\partial,b}[\\psi(t_... | CC-BY-4.0 | assets/0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2.pdf | 0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2 | arxiv:2608.11936 | formula | 19 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[210.49,666.19,314.07,18.39],"bbox_pdf":[210.49,157.31,524.56,175.7],"fragments":[{"bbox_pdf":[210.49,157.31,524.56,175.7],"words":[8889,8890,8891,8892,8893,8894,8895,8896,8897,8898,8899,8900,8901,8902]}],"html":null,"kind":"paragraph","latex":"S_{n,i}^{\\partial}[\\psi(t_{n},\\cdot)]-\\psi(t_{n},x_{i}... | CC-BY-4.0 | assets/0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2.pdf | 0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2 | arxiv:2608.11936 | formula | 19 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[194.11,753.08,207.05,14.11],"bbox_pdf":[194.11,74.7,401.16,88.81],"fragments":[{"bbox_pdf":[194.11,74.7,401.16,88.81],"words":[8938,8939,8940,8941,8942,8943,8944,8945,8946,8947,8948,8949,8950,8951]}],"html":null,"kind":"paragraph","latex":"\\underline{\\psi}(t,x):=-e^{T-t}(M_{0}+A_{0}\\chi(x))=-\\psi(... | CC-BY-4.0 | assets/0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2.pdf | 0355b277af7a7424970fea2034b059ba1fbe66758b394b4db2fde8ac0595efa2 | arxiv:2608.11936 | formula | 19 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","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":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","ve... | CC-BY-4.0 | assets/9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a.pdf | 9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a | arxiv:2608.11936 | page | 20 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[174.92,96.08,349.63,30.1],"bbox_pdf":[174.92,715.72,524.56,745.81],"fragments":[{"bbox_pdf":[174.92,715.72,524.56,745.81],"words":[8960,8961,8962,8963,8964,8965,8966,8967,8968,8969,8970,8971,8972,8973,8974,8975,8976,8977,8978,8979,8980,8981,8982,8983]}],"html":null,"kind":"paragraph","latex":"\\begin{... | CC-BY-4.0 | assets/9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a.pdf | 9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a | arxiv:2608.11936 | formula | 20 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[236.12,174.58,123.04,31.73],"bbox_pdf":[236.12,635.58,359.16,667.31],"fragments":[{"bbox_pdf":[236.12,635.58,359.16,667.31],"words":[9019,9020,9021,9022,9023,9024,9025,9026,9027,9028,9029,9030,9031,9032,9033,9034,9035,9036]}],"html":null,"kind":"paragraph","latex":"-\\widetilde{d}\\left(1-\\frac{1}{2}... | CC-BY-4.0 | assets/9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a.pdf | 9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a | arxiv:2608.11936 | formula | 20 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[152.95,236.55,289.37,31.7],"bbox_pdf":[152.95,573.64,442.32,605.34],"fragments":[{"bbox_pdf":[152.95,573.64,442.32,605.34],"words":[9047,9048,9049,9050,9051,9052,9053,9054,9055,9056,9057,9058,9059,9060,9061,9062,9063,9064,9065,9066]}],"html":null,"kind":"paragraph","latex":"\\mathcal{S}_{n,i}^{a,b}[\\... | CC-BY-4.0 | assets/9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a.pdf | 9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a | arxiv:2608.11936 | formula | 20 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[181.34,303.38,343.21,15.17],"bbox_pdf":[181.34,523.34,524.56,538.51],"fragments":[{"bbox_pdf":[181.34,523.34,524.56,538.51],"words":[9083,9084,9085,9086,9087,9088,9089,9090,9091,9092,9093,9094,9095,9096,9097,9098,9099]}],"html":null,"kind":"paragraph","latex":"S_{n,i}[\\underline{\\psi}(t_{n+1},\\cdot... | CC-BY-4.0 | assets/9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a.pdf | 9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a | arxiv:2608.11936 | formula | 20 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[187.52,352.09,220.24,25.77],"bbox_pdf":[187.52,464.02,407.76,489.8],"fragments":[{"bbox_pdf":[187.52,464.02,407.76,489.8],"words":[9114,9115,9116,9117,9118,9119,9120,9121,9122,9123,9124,9125,9126,9127,9128,9129]}],"html":null,"kind":"paragraph","latex":"\\mathcal{S}_{n,i}^{\\partial,b}[\\underline{\\p... | CC-BY-4.0 | assets/9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a.pdf | 9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a | arxiv:2608.11936 | formula | 20 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[214.73,407.43,309.83,25.77],"bbox_pdf":[214.73,408.68,524.56,434.46],"fragments":[{"bbox_pdf":[214.73,408.68,524.56,434.46],"words":[9137,9138,9139,9140,9141,9142,9143,9144,9145,9146,9147,9148,9149]}],"html":null,"kind":"paragraph","latex":"S_{n,i}^{\\partial}[\\underline{\\psi}(t_{n},\\cdot)]-\\under... | CC-BY-4.0 | assets/9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a.pdf | 9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a | arxiv:2608.11936 | formula | 20 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[203.64,471.29,187.99,16.17],"bbox_pdf":[203.64,354.43,391.63,370.6],"fragments":[{"bbox_pdf":[203.64,354.43,391.63,370.6],"words":[9168,9169,9170,9171,9172,9173,9174,9175,9176,9177,9178]}],"html":null,"kind":"paragraph","latex":"\\underline{\\psi}(T,x_{i})\\leq U_{i}^{N_{T}}\\leq\\psi(T,x_{i})\\qquad(... | CC-BY-4.0 | assets/9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a.pdf | 9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a | arxiv:2608.11936 | formula | 20 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[204.98,523.07,123.41,15.17],"bbox_pdf":[204.98,303.65,328.39,318.82],"fragments":[{"bbox_pdf":[204.98,303.65,328.39,318.82],"words":[9194,9195,9196,9197,9198,9199,9200,9201,9202]}],"html":null,"kind":"paragraph","latex":"\\underline{\\psi}(t_{n},x_{i})\\leq U_{i}^{n}\\leq\\psi(t_{n},x_{i})\\qquad(i\\i... | CC-BY-4.0 | assets/9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a.pdf | 9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a | arxiv:2608.11936 | formula | 20 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[350.21,523.07,32.31,15.17],"bbox_pdf":[350.21,303.65,382.52,318.82],"fragments":[{"bbox_pdf":[350.21,303.65,382.52,318.82],"words":[9203,9204,9205,9206,9208]}],"html":null,"kind":"paragraph","latex":"\\underline{\\psi}(t_{n},x_{i})\\leq U_{i}^{n}\\leq\\psi(t_{n},x_{i})\\qquad(i\\in%\n\\mathcal{I}_{h}^... | CC-BY-4.0 | assets/9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a.pdf | 9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a | arxiv:2608.11936 | formula | 20 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[157.95,590.11,279.37,19.54],"bbox_pdf":[157.95,232.23,437.32,251.78],"fragments":[{"bbox_pdf":[157.95,232.23,437.32,251.78],"words":[9244,9245,9246,9247,9248,9249,9250,9251,9252,9253,9254,9255,9256,9257,9258,9259,9260,9261,9262,9263,9264,9265,9266,9267,9268,9270,9271,9273,9274,9275,9277,9278,9279,9280... | CC-BY-4.0 | assets/9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a.pdf | 9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a | arxiv:2608.11936 | formula | 20 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[209.1,657.99,177.08,20.92],"bbox_pdf":[209.1,162.98,386.18,183.9],"fragments":[{"bbox_pdf":[209.1,162.98,386.18,183.9],"words":[9316,9317,9318,9319,9320,9321,9322,9323,9324,9325,9326,9327,9328,9329]}],"html":null,"kind":"paragraph","latex":"\\max_{0\\leq n\\leq N_{T}}\\|U^{n}\\|_{\\infty}\\leq e^{T}(M... | CC-BY-4.0 | assets/9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a.pdf | 9095d65dc10aa846bb0b691f3f463356ef5783959ff59bc3f4ebc545c2d65f8a | arxiv:2608.11936 | formula | 20 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","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":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","ve... | CC-BY-4.0 | assets/7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05.pdf | 7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05 | arxiv:2608.11936 | page | 23 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[224.73,111.42,145.82,14.11],"bbox_pdf":[224.73,716.36,370.55,730.47],"fragments":[{"bbox_pdf":[224.73,716.36,370.55,730.47],"words":[10381,10382,10383,10384,10385,10386,10387,10388,10389,10390,10391,10392,10393,10394,10395,10396,10397]}],"html":null,"kind":"paragraph","latex":"\\mathcal{L}(t_{0},x_{0}... | CC-BY-4.0 | assets/7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05.pdf | 7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05 | arxiv:2608.11936 | formula | 23 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[229.54,162.01,295.01,14.11],"bbox_pdf":[229.54,665.77,524.55,679.88],"fragments":[{"bbox_pdf":[229.54,665.77,524.55,679.88],"words":[10405,10406,10407,10408,10409,10410,10411,10412,10413,10414,10415,10416,10417,10418,10419,10420,10421]}],"html":null,"kind":"paragraph","latex":"L(t_{0},x_{0},D\\phi^{\\... | CC-BY-4.0 | assets/7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05.pdf | 7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05 | arxiv:2608.11936 | formula | 23 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[150.24,197.92,294.8,73.49],"bbox_pdf":[150.24,570.48,445.04,643.97],"fragments":[{"bbox_pdf":[150.24,570.48,445.04,643.97],"words":[10442,10443,10444,10445,10446,10447,10448,10449,10450,10451,10452,10453,10454,10455,10456,10457,10458,10459,10460,10461,10462,10463,10464,10465,10466,10467,10468,10469,10... | CC-BY-4.0 | assets/7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05.pdf | 7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05 | arxiv:2608.11936 | formula | 23 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[184.05,305.96,227.19,15.33],"bbox_pdf":[184.05,520.61,411.23,535.93],"fragments":[{"bbox_pdf":[184.05,520.61,411.23,535.93],"words":[10477,10478,10479,10480,10481,10482,10483,10484,10485,10486,10488,10489,10490,10491,10492,10494,10495,10496,10497,10498,10499]}],"html":null,"kind":"paragraph","latex":"... | CC-BY-4.0 | assets/7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05.pdf | 7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05 | arxiv:2608.11936 | formula | 23 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[190.01,367.63,334.55,36.29],"bbox_pdf":[190.01,437.97,524.56,474.26],"fragments":[{"bbox_pdf":[190.01,437.97,524.56,474.26],"words":[10531,10532,10533,10534,10535,10536,10537,10538,10539,10540,10541,10542,10543,10544,10545,10546,10547,10548,10549,10550,10551,10552]}],"html":null,"kind":"paragraph","la... | CC-BY-4.0 | assets/7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05.pdf | 7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05 | arxiv:2608.11936 | formula | 23 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[162.93,438.46,269.42,47.64],"bbox_pdf":[162.93,355.79,432.35,403.43],"fragments":[{"bbox_pdf":[162.93,355.79,432.35,403.43],"words":[10554,10555,10556,10557,10558,10559,10560,10561,10562,10563,10564,10565,10566,10567,10568,10569,10570,10571,10572,10573,10574,10575,10576,10577,10578,10579,10580,10581,1... | CC-BY-4.0 | assets/7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05.pdf | 7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05 | arxiv:2608.11936 | formula | 23 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[193.57,548.07,330.99,36.29],"bbox_pdf":[193.57,257.53,524.56,293.82],"fragments":[{"bbox_pdf":[193.57,257.53,524.56,293.82],"words":[10645,10646,10647,10648,10649,10650,10651,10652,10653,10654,10655,10656,10657,10658,10659,10660,10661,10662,10663,10664]}],"html":null,"kind":"paragraph","latex":"\\frac... | CC-BY-4.0 | assets/7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05.pdf | 7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05 | arxiv:2608.11936 | formula | 23 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[135.24,645.99,325.98,36.29],"bbox_pdf":[135.24,159.61,461.23,195.9],"fragments":[{"bbox_pdf":[135.24,159.61,461.23,195.9],"words":[10714,10715,10716,10717,10718,10719,10720,10721,10722,10723,10724,10725,10726,10727,10728,10729,10730,10731,10732,10733,10734,10735,10736,10737,10738,10739,10740,10741,107... | CC-BY-4.0 | assets/7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05.pdf | 7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05 | arxiv:2608.11936 | formula | 23 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[78.65,717.49,445.9,14.11],"bbox_pdf":[78.65,110.29,524.55,124.4],"fragments":[{"bbox_pdf":[78.65,110.29,524.55,124.4],"words":[10758,10759,10760,10761,10762,10763,10764,10765,10766,10767,10768,10769,10770,10771,10772,10773,10774,10775,10776,10777,10778,10779,10780,10781,10782,10783,10784,10785,10786,1... | CC-BY-4.0 | assets/7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05.pdf | 7fdf9190dff682d51bb499d070ecb67a9ade858c92d1a2291c73a5b479ad6b05 | arxiv:2608.11936 | formula | 23 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","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":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","ve... | CC-BY-4.0 | assets/466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19.pdf | 466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19 | arxiv:2608.11936 | page | 26 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[248.01,166.87,276.54,15.17],"bbox_pdf":[248.01,659.85,524.56,675.02],"fragments":[{"bbox_pdf":[248.01,659.85,524.56,675.02],"words":[12066,12067,12068,12069,12070,12071,12072,12073,12074,12075,12076,12077,12078,12079,12080,12081]}],"html":null,"kind":"paragraph","latex":"e_{i}^{n}=I_{1,i}^{n}+I_{2,i}^... | CC-BY-4.0 | assets/466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19.pdf | 466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19 | arxiv:2608.11936 | formula | 26 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[225.71,217.4,137.29,52.86],"bbox_pdf":[225.71,571.63,363.01,624.49],"fragments":[{"bbox_pdf":[225.71,571.63,363.01,624.49],"words":[12083,12084,12085,12086,12087,12088,12089,12090,12091,12093,12094,12095,12096,12097,12099,12100,12101,12103,12104,12105,12106,12107,12108,12109,12111,12112,12113,12114]}]... | CC-BY-4.0 | assets/466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19.pdf | 466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19 | arxiv:2608.11936 | formula | 26 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[79.87,306.02,444.68,45.49],"bbox_pdf":[79.87,490.38,524.55,535.87],"fragments":[{"bbox_pdf":[79.87,490.38,524.55,535.87],"words":[12125,12126,12127,12128,12129,12130,12131,12132,12133,12134,12135,12136,12137,12138,12139,12140,12141,12142,12143,12144,12145,12146,12147,12148,12149,12150,12151,12152,1215... | CC-BY-4.0 | assets/466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19.pdf | 466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19 | arxiv:2608.11936 | formula | 26 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[191.93,371.74,211.43,20.97],"bbox_pdf":[191.93,449.19,403.35,470.15],"fragments":[{"bbox_pdf":[191.93,449.19,403.35,470.15],"words":[12168,12169,12170,12171,12172,12173,12174,12175,12176,12177,12178,12179,12180,12181,12182,12184,12185,12187,12189]}],"html":null,"kind":"paragraph","latex":"A_{n,i}^{a}:... | CC-BY-4.0 | assets/466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19.pdf | 466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19 | arxiv:2608.11936 | formula | 26 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[191.57,440.43,212.14,20.23],"bbox_pdf":[191.57,381.23,403.71,401.46],"fragments":[{"bbox_pdf":[191.57,381.23,403.71,401.46],"words":[12211,12212,12213,12214,12215,12216,12217,12218,12219,12220,12221,12222,12223,12224,12225,12226]}],"html":null,"kind":"paragraph","latex":"\\sup_{a\\in A}A_{n,i}^{a}=0,\... | CC-BY-4.0 | assets/466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19.pdf | 466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19 | arxiv:2608.11936 | formula | 26 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[126.83,567.7,341.62,43.65],"bbox_pdf":[126.83,230.53,468.45,274.19],"fragments":[{"bbox_pdf":[126.83,230.53,468.45,274.19],"words":[12334,12335,12336,12337,12338,12339,12340,12341,12342,12343,12344,12345,12346,12347,12348,12349,12350,12351,12352,12353,12354,12355,12356,12357,12358,12359,12360,12361,12... | CC-BY-4.0 | assets/466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19.pdf | 466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19 | arxiv:2608.11936 | formula | 26 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[195.07,658.44,205.13,16.38],"bbox_pdf":[195.07,167.07,400.2,183.45],"fragments":[{"bbox_pdf":[195.07,167.07,400.2,183.45],"words":[12406,12407,12408,12409,12410,12411,12412,12413,12414,12415,12416,12417,12418,12419,12420,12422,12423,12424,12425,12426]}],"html":null,"kind":"paragraph","latex":"-C|x_{n,... | CC-BY-4.0 | assets/466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19.pdf | 466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19 | arxiv:2608.11936 | formula | 26 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[134.7,728.02,325.88,31.7],"bbox_pdf":[134.7,82.17,460.58,113.87],"fragments":[{"bbox_pdf":[134.7,82.17,460.58,113.87],"words":[12456,12457,12458,12459,12460,12461,12462,12463,12464,12465,12466,12467,12468,12469,12470,12471,12472,12473,12474,12475,12476,12477,12478,12479,12480,12481,12483,12484,12485,1... | CC-BY-4.0 | assets/466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19.pdf | 466913851e16befb8a9a42184c8ccde979ccb1865724c9030f88b4797ca92f19 | arxiv:2608.11936 | formula | 26 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","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":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","ve... | CC-BY-4.0 | assets/0e848bafe94bf90cbb221c820eba010e5e246987ffd7c9221d8821dd11eb85bc.pdf | 0e848bafe94bf90cbb221c820eba010e5e246987ffd7c9221d8821dd11eb85bc | arxiv:2608.11936 | page | 33 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[181.54,485.28,232.2,35.75],"bbox_pdf":[181.54,320.87,413.74,356.61],"fragments":[{"bbox_pdf":[181.54,320.87,413.74,356.61],"words":[15459,15460,15461,15462,15463,15464,15465,15466,15467,15468,15469,15470,15471,15472,15473,15474,15475,15476,15477,15478]}],"html":null,"kind":"paragraph","latex":"\\max_{... | CC-BY-4.0 | assets/0e848bafe94bf90cbb221c820eba010e5e246987ffd7c9221d8821dd11eb85bc.pdf | 0e848bafe94bf90cbb221c820eba010e5e246987ffd7c9221d8821dd11eb85bc | arxiv:2608.11936 | formula | 33 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","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":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","ve... | CC-BY-4.0 | assets/fe5db9f1a27b2839134df0f074697505c64f097d5d020932ff2ec6319a87b226.pdf | fe5db9f1a27b2839134df0f074697505c64f097d5d020932ff2ec6319a87b226 | arxiv:2608.11936 | page | 34 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","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":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","ve... | CC-BY-4.0 | assets/be58f724e5fe55f5e642922ba853b8df3879e0880463815bdf015c7d4ac9154c.pdf | be58f724e5fe55f5e642922ba853b8df3879e0880463815bdf015c7d4ac9154c | arxiv:2608.11936 | page | 35 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","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":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","ve... | CC-BY-4.0 | assets/11cd3e585fa7a0518bc8a66898db8eabd328a7b1765316f94e043b7a556a49c3.pdf | 11cd3e585fa7a0518bc8a66898db8eabd328a7b1765316f94e043b7a556a49c3 | arxiv:2608.11936 | page | 36 | {"arxiv_id":"2608.11936","authors":"Haoran Xu, Xingye Yue","title":"A Positivity-Preserving Expectation Scheme for Hamilton--Jacobi--Bellman Equations with Oblique Robin Boundary Conditions","url":"https://arxiv.org/abs/2608.11936v1","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":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1},"blocks":[{"bbox":[91.8,94.07,428.4,47.16],"bbox_pdf":[91.8,... | CC-BY-4.0 | assets/75a6e0c86868f98e7838661dfe7a6c96d44f2dc0b5d096b310dbd12fcf480ec2.pdf | 75a6e0c86868f98e7838661dfe7a6c96d44f2dc0b5d096b310dbd12fcf480ec2 | arxiv:2608.11945 | page | 3 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[249.5,562.2,270.7,23.61],"bbox_pdf":[249.5,206.18,520.2,229.8],"fragments":[{"bbox_pdf":[249.5,206.18,520.2,229.8],"words":[756,757,758,759,760,761,762,763,764,766,767]}],"html":null,"kind":"paragraph","latex":"\\mathcal{H}_{j}^{(\\pm)}=\\mathop{\\mathchoice{\\hbox{\\set@color\\ooalign{$%\n\\scriptsty... | CC-BY-4.0 | assets/75a6e0c86868f98e7838661dfe7a6c96d44f2dc0b5d096b310dbd12fcf480ec2.pdf | 75a6e0c86868f98e7838661dfe7a6c96d44f2dc0b5d096b310dbd12fcf480ec2 | arxiv:2608.11945 | formula | 3 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","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":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1},"blocks":[{"bbox":[91.8,94.07,428.4,117.61],"bbox_pdf":[91.8... | CC-BY-4.0 | assets/d6d5448d46a7fdd630bcf71a9af7c69d390c3d6ab0afbcefbce010dde86b8675.pdf | d6d5448d46a7fdd630bcf71a9af7c69d390c3d6ab0afbcefbce010dde86b8675 | arxiv:2608.11945 | page | 4 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[162.38,216.82,357.81,15.66],"bbox_pdf":[162.38,559.51,520.2,575.18],"fragments":[{"bbox_pdf":[162.38,559.51,520.2,575.18],"words":[931,932,933,934,935,936,937,938,939,941,942,943,944,945,946,947,948,949,951,952,953]}],"html":null,"kind":"paragraph","latex":"\\mathcal{S}_{O}^{>0}=\\mathrm{span}\\left\\... | CC-BY-4.0 | assets/d6d5448d46a7fdd630bcf71a9af7c69d390c3d6ab0afbcefbce010dde86b8675.pdf | d6d5448d46a7fdd630bcf71a9af7c69d390c3d6ab0afbcefbce010dde86b8675 | arxiv:2608.11945 | formula | 4 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[224.37,310.34,295.83,96.2],"bbox_pdf":[224.37,385.46,520.2,481.66],"fragments":[{"bbox_pdf":[224.37,385.46,520.2,481.66],"words":[994,995,996,997,998,999,1000,1001,1002,1004,1005,1007,1008,1010,1011,1012,1013,1014,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,103... | CC-BY-4.0 | assets/d6d5448d46a7fdd630bcf71a9af7c69d390c3d6ab0afbcefbce010dde86b8675.pdf | d6d5448d46a7fdd630bcf71a9af7c69d390c3d6ab0afbcefbce010dde86b8675 | arxiv:2608.11945 | formula | 4 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[210.4,501.43,309.8,28.77],"bbox_pdf":[210.4,261.8,520.2,290.57],"fragments":[{"bbox_pdf":[210.4,261.8,520.2,290.57],"words":[1132,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153]}],"html":null,"kind":"paragraph","latex":"\\ket*{O_{X}^{l=0}}=\\hat{\\m... | CC-BY-4.0 | assets/d6d5448d46a7fdd630bcf71a9af7c69d390c3d6ab0afbcefbce010dde86b8675.pdf | d6d5448d46a7fdd630bcf71a9af7c69d390c3d6ab0afbcefbce010dde86b8675 | arxiv:2608.11945 | formula | 4 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[145.91,568.4,315.33,14.63],"bbox_pdf":[145.91,208.97,461.24,223.6],"fragments":[{"bbox_pdf":[145.91,208.97,461.24,223.6],"words":[1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1177,1178,1179,1180,1182]}],"html":null,"kind":"paragraph","latex":"\\displaystyle\\mathcal{... | CC-BY-4.0 | assets/d6d5448d46a7fdd630bcf71a9af7c69d390c3d6ab0afbcefbce010dde86b8675.pdf | d6d5448d46a7fdd630bcf71a9af7c69d390c3d6ab0afbcefbce010dde86b8675 | arxiv:2608.11945 | formula | 4 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","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":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1},"blocks":[{"bbox":[91.8,91.65,315.13,14.35],"bbox_pdf":[91.8... | CC-BY-4.0 | assets/181846829b0e668e3cc7ff76b51bd1c8c3f38e8ac84e2d740e5e11e79a3feb11.pdf | 181846829b0e668e3cc7ff76b51bd1c8c3f38e8ac84e2d740e5e11e79a3feb11 | arxiv:2608.11945 | page | 7 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[141.95,176.98,378.25,35.65],"bbox_pdf":[141.95,579.37,520.2,615.02],"fragments":[{"bbox_pdf":[141.95,579.37,520.2,615.02],"words":[1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2005,2006,2007,2008,2010,2011,2012,2013,2014]}],"html":null,"kind":"paragraph","latex":"\\d... | CC-BY-4.0 | assets/181846829b0e668e3cc7ff76b51bd1c8c3f38e8ac84e2d740e5e11e79a3feb11.pdf | 181846829b0e668e3cc7ff76b51bd1c8c3f38e8ac84e2d740e5e11e79a3feb11 | arxiv:2608.11945 | formula | 7 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[196.08,321.96,324.12,96.54],"bbox_pdf":[196.08,373.51,520.2,470.04],"fragments":[{"bbox_pdf":[196.08,373.51,520.2,470.04],"words":[2079,2080,2081,2082,2083,2084,2085,2087,2088,2089,2090,2091,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2109,2110,2111,2112,2113,2114,2115,2... | CC-BY-4.0 | assets/181846829b0e668e3cc7ff76b51bd1c8c3f38e8ac84e2d740e5e11e79a3feb11.pdf | 181846829b0e668e3cc7ff76b51bd1c8c3f38e8ac84e2d740e5e11e79a3feb11 | arxiv:2608.11945 | formula | 7 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[255.55,456.6,264.66,30.29],"bbox_pdf":[255.55,305.11,520.2,335.4],"fragments":[{"bbox_pdf":[255.55,305.11,520.2,335.4],"words":[2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166]}],"html":null,"kind":"paragraph","latex":"\\mu^{2}=-\\frac{\\kappa_{2}\\vec{\\beta}_{1}^... | CC-BY-4.0 | assets/181846829b0e668e3cc7ff76b51bd1c8c3f38e8ac84e2d740e5e11e79a3feb11.pdf | 181846829b0e668e3cc7ff76b51bd1c8c3f38e8ac84e2d740e5e11e79a3feb11 | arxiv:2608.11945 | formula | 7 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[249.43,615.21,270.77,26.79],"bbox_pdf":[249.43,149.99,520.2,176.79],"fragments":[{"bbox_pdf":[249.43,149.99,520.2,176.79],"words":[2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2270,2271]}],"html":null,"kind":"paragraph","latex":"f(\\mu^{2},L)=\\frac{\\mu^{2}}{2\\pi^{2}}\\rho_{\\mathrm{KL}}(\\mu^{... | CC-BY-4.0 | assets/181846829b0e668e3cc7ff76b51bd1c8c3f38e8ac84e2d740e5e11e79a3feb11.pdf | 181846829b0e668e3cc7ff76b51bd1c8c3f38e8ac84e2d740e5e11e79a3feb11 | arxiv:2608.11945 | formula | 7 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","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":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1},"blocks":[{"bbox":[91.8,94.07,428.4,47.16],"bbox_pdf":[91.8,... | CC-BY-4.0 | assets/6dbecc55fb2d478f770fe1208da8bc2959ebfcd44bcf9f3199ebeb93a1544651.pdf | 6dbecc55fb2d478f770fe1208da8bc2959ebfcd44bcf9f3199ebeb93a1544651 | arxiv:2608.11945 | page | 8 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[241.72,374.03,278.49,39.11],"bbox_pdf":[241.72,378.86,520.2,417.97],"fragments":[{"bbox_pdf":[241.72,378.86,520.2,417.97],"words":[2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462]}],"html":null,"kind":"paragraph","latex":"Q_{S}=\\sum_{h}\\int\\differential[2]{w}\\,K^{h}(w)J_{h}.","level":n... | CC-BY-4.0 | assets/6dbecc55fb2d478f770fe1208da8bc2959ebfcd44bcf9f3199ebeb93a1544651.pdf | 6dbecc55fb2d478f770fe1208da8bc2959ebfcd44bcf9f3199ebeb93a1544651 | arxiv:2608.11945 | formula | 8 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[200.41,468.58,319.79,34.87],"bbox_pdf":[200.41,288.55,520.2,323.42],"fragments":[{"bbox_pdf":[200.41,288.55,520.2,323.42],"words":[2490,2491,2492,2493,2494,2495,2496,2500,2504,2506,2507]}],"html":null,"kind":"paragraph","latex":"\\expectationvalue{Q_{S}\\,{\\textstyle\\prod}_{A=1}^{n}O_{A}}=\\sum_{A=1... | CC-BY-4.0 | assets/6dbecc55fb2d478f770fe1208da8bc2959ebfcd44bcf9f3199ebeb93a1544651.pdf | 6dbecc55fb2d478f770fe1208da8bc2959ebfcd44bcf9f3199ebeb93a1544651 | arxiv:2608.11945 | formula | 8 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","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":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1},"blocks":[{"bbox":[91.8,95.09,117.88,10.91],"bbox_pdf":[91.8... | CC-BY-4.0 | assets/7d7ac9d1dee5c1b26cf175027bea942029a01be9147af8d08b5b2a0000e01f7e.pdf | 7d7ac9d1dee5c1b26cf175027bea942029a01be9147af8d08b5b2a0000e01f7e | arxiv:2608.11945 | page | 9 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[201.14,113.34,319.06,35.65],"bbox_pdf":[201.14,643.01,520.2,678.66],"fragments":[{"bbox_pdf":[201.14,643.01,520.2,678.66],"words":[2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2601,2602]}],"html":null,"kind":"paragraph","latex":"\\mathcal{O}_{\\Delta,h}(u,w)=\\int_{0}^{\\... | CC-BY-4.0 | assets/7d7ac9d1dee5c1b26cf175027bea942029a01be9147af8d08b5b2a0000e01f7e.pdf | 7d7ac9d1dee5c1b26cf175027bea942029a01be9147af8d08b5b2a0000e01f7e | arxiv:2608.11945 | formula | 9 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[224.02,246.76,296.18,18.17],"bbox_pdf":[224.02,527.06,520.2,545.24],"fragments":[{"bbox_pdf":[224.02,527.06,520.2,545.24],"words":[2677,2678,2679,2680,2681,2682,2683,2684,2685,2686]}],"html":null,"kind":"paragraph","latex":"J_{h}(u,w)=\\lim_{\\Delta\\to 1}(\\Delta-1)\\mathcal{O}_{\\Delta,h}(u,w).","le... | CC-BY-4.0 | assets/7d7ac9d1dee5c1b26cf175027bea942029a01be9147af8d08b5b2a0000e01f7e.pdf | 7d7ac9d1dee5c1b26cf175027bea942029a01be9147af8d08b5b2a0000e01f7e | arxiv:2608.11945 | formula | 9 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[141.11,342.71,379.09,32.32],"bbox_pdf":[141.11,416.97,520.2,449.29],"fragments":[{"bbox_pdf":[141.11,416.97,520.2,449.29],"words":[2725,2726,2727,2728,2729,2730,2731,2732,2733,2734,2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2747,2748,2749,2750,2751,2753,2754,2755,2756,2757,2758,2759,2760,2... | CC-BY-4.0 | assets/7d7ac9d1dee5c1b26cf175027bea942029a01be9147af8d08b5b2a0000e01f7e.pdf | 7d7ac9d1dee5c1b26cf175027bea942029a01be9147af8d08b5b2a0000e01f7e | arxiv:2608.11945 | formula | 9 | {"arxiv_id":"2608.11945","authors":"Yu-fan Zheng","title":"Carrollian Dictionary for Massive Particles at Null Infinity","url":"https://arxiv.org/abs/2608.11945v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
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