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Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[273.56,73.44,288.54,11.46],"bbox_pdf":[273.56,757.0,562.09,768.45],"fragments":[{"bbox_pdf":[273.56,757.0,562.09,768.45],"words":[1911,1912,1913,1914,1915,1916]}],"html":null,"kind":"paragraph","latex":"m_{1}=m_{2}=m_{3}.","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified":true},"orde... | CC-BY-4.0 | assets/301db3deb667901d53d5c586ba45fd37e27af814b514d2f1af2dc3224dc045f2.pdf | 301db3deb667901d53d5c586ba45fd37e27af814b514d2f1af2dc3224dc045f2 | arxiv:2608.24581 | formula | 4 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[152.0,375.4,410.09,28.46],"bbox_pdf":[152.0,438.04,562.09,466.49],"fragments":[{"bbox_pdf":[152.0,438.04,562.09,466.49],"words":[2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244]}],"html":null,"kind":"paragraph","latex":"... | CC-BY-4.0 | assets/301db3deb667901d53d5c586ba45fd37e27af814b514d2f1af2dc3224dc045f2.pdf | 301db3deb667901d53d5c586ba45fd37e27af814b514d2f1af2dc3224dc045f2 | arxiv:2608.24581 | formula | 4 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[179.34,634.71,382.76,32.34],"bbox_pdf":[179.34,174.84,562.1,207.18],"fragments":[{"bbox_pdf":[179.34,174.84,562.1,207.18],"words":[2549,2550,2551,2552,2553,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2571,2572]}],"html":null,"kind":"paragraph","latex":"V_{ij}(\... | CC-BY-4.0 | assets/301db3deb667901d53d5c586ba45fd37e27af814b514d2f1af2dc3224dc045f2.pdf | 301db3deb667901d53d5c586ba45fd37e27af814b514d2f1af2dc3224dc045f2 | arxiv:2608.24581 | formula | 4 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","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":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://a... | CC-BY-4.0 | assets/e19301444fe3d23c0a1e22da1d9a5e664ae1fb9cfecc05aa96777e6b53cf9db8.pdf | e19301444fe3d23c0a1e22da1d9a5e664ae1fb9cfecc05aa96777e6b53cf9db8 | arxiv:2608.24581 | page | 9 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[255.9,95.74,306.19,11.46],"bbox_pdf":[255.9,734.7,562.09,746.15],"fragments":[{"bbox_pdf":[255.9,734.7,562.09,746.15],"words":[5315,5316,5317,5318,5319,5320,5321,5322]}],"html":null,"kind":"paragraph","latex":"H_{0}=H_{r}+H_{R}+H_{xyR},","level":null,"list_depth":null,"match":{"src_placed":1.0,"verifi... | CC-BY-4.0 | assets/e19301444fe3d23c0a1e22da1d9a5e664ae1fb9cfecc05aa96777e6b53cf9db8.pdf | e19301444fe3d23c0a1e22da1d9a5e664ae1fb9cfecc05aa96777e6b53cf9db8 | arxiv:2608.24581 | formula | 9 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[55.26,127.57,506.84,41.97],"bbox_pdf":[55.26,672.35,562.09,714.32],"fragments":[{"bbox_pdf":[55.26,672.35,562.09,714.32],"words":[5324,5325,5326,5327,5328,5329,5330,5331,5332,5333,5334,5335,5336,5337,5338,5339,5340,5341,5342,5343,5344,5345,5346,5347,5348,5349,5350,5351,5352,5353,5354,5355,5356,5357,53... | CC-BY-4.0 | assets/e19301444fe3d23c0a1e22da1d9a5e664ae1fb9cfecc05aa96777e6b53cf9db8.pdf | e19301444fe3d23c0a1e22da1d9a5e664ae1fb9cfecc05aa96777e6b53cf9db8 | arxiv:2608.24581 | formula | 9 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[173.75,182.12,388.34,32.34],"bbox_pdf":[173.75,627.43,562.09,659.77],"fragments":[{"bbox_pdf":[173.75,627.43,562.09,659.77],"words":[5388,5389,5390,5391,5392,5393,5394,5395,5396,5397,5398,5399,5400,5401,5402,5403,5404,5405,5406,5407,5408,5409,5410,5411,5412,5413,5414,5415,5416,5417,5418,5419]}],"html"... | CC-BY-4.0 | assets/e19301444fe3d23c0a1e22da1d9a5e664ae1fb9cfecc05aa96777e6b53cf9db8.pdf | e19301444fe3d23c0a1e22da1d9a5e664ae1fb9cfecc05aa96777e6b53cf9db8 | arxiv:2608.24581 | formula | 9 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[205.3,473.74,356.79,24.64],"bbox_pdf":[205.3,343.51,562.1,368.15],"fragments":[{"bbox_pdf":[205.3,343.51,562.1,368.15],"words":[5784,5785,5786,5787,5788,5789,5790,5791,5792,5793,5794,5795,5796,5797,5798,5799,5801,5802,5803,5804]}],"html":null,"kind":"paragraph","latex":"-\\frac{\\sqrt{3}}{2m}\\nabla_{... | CC-BY-4.0 | assets/e19301444fe3d23c0a1e22da1d9a5e664ae1fb9cfecc05aa96777e6b53cf9db8.pdf | e19301444fe3d23c0a1e22da1d9a5e664ae1fb9cfecc05aa96777e6b53cf9db8 | arxiv:2608.24581 | formula | 9 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[261.62,555.76,300.47,25.5],"bbox_pdf":[261.62,260.62,562.09,286.13],"fragments":[{"bbox_pdf":[261.62,260.62,562.09,286.13],"words":[5871,5872,5873,5874,5875,5876,5877,5878,5879,5880,5881]}],"html":null,"kind":"paragraph","latex":"E_{\\text{c.m.}}=\\varpi\\left(\\mathfrak{N}+\\frac{1}{2}\\right),","lev... | CC-BY-4.0 | assets/e19301444fe3d23c0a1e22da1d9a5e664ae1fb9cfecc05aa96777e6b53cf9db8.pdf | e19301444fe3d23c0a1e22da1d9a5e664ae1fb9cfecc05aa96777e6b53cf9db8 | arxiv:2608.24581 | formula | 9 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","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":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://a... | CC-BY-4.0 | assets/b5dd3c0d0c4af508fe76f1f225821dcbaad27fe00d4ea604c8f085b6d5d0a416.pdf | b5dd3c0d0c4af508fe76f1f225821dcbaad27fe00d4ea604c8f085b6d5d0a416 | arxiv:2608.24581 | page | 10 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","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":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://a... | CC-BY-4.0 | assets/83af2d6eab0ce28b72fd9e4fd13655bcefd6bd75bf8c1ea17afc4f9ed1977070.pdf | 83af2d6eab0ce28b72fd9e4fd13655bcefd6bd75bf8c1ea17afc4f9ed1977070 | arxiv:2608.24581 | page | 11 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[141.51,402.79,420.59,38.75],"bbox_pdf":[141.51,400.35,562.1,439.1],"fragments":[{"bbox_pdf":[141.51,400.35,562.1,439.1],"words":[6818,6819,6820,6821,6822,6823,6824,6825,6826,6827,6828,6829,6830,6831,6832,6833,6834,6835,6836,6837,6838,6839,6840,6841,6842,6843,6844,6845,6846,6847,6848,6849,6850,6851,685... | CC-BY-4.0 | assets/83af2d6eab0ce28b72fd9e4fd13655bcefd6bd75bf8c1ea17afc4f9ed1977070.pdf | 83af2d6eab0ce28b72fd9e4fd13655bcefd6bd75bf8c1ea17afc4f9ed1977070 | arxiv:2608.24581 | formula | 11 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","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":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://a... | CC-BY-4.0 | assets/6018fccaf933dc6c886f4ccd0f223e19abd8feb2862ba70f1ca7544a38de20e7.pdf | 6018fccaf933dc6c886f4ccd0f223e19abd8feb2862ba70f1ca7544a38de20e7 | arxiv:2608.24581 | page | 13 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","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":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://a... | CC-BY-4.0 | assets/8fcd793bbb3d9fb1fdbf8e0d80da7b3a3a7f4cb9583c2b998aefa7888786bf35.pdf | 8fcd793bbb3d9fb1fdbf8e0d80da7b3a3a7f4cb9583c2b998aefa7888786bf35 | arxiv:2608.24581 | page | 14 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","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":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://a... | CC-BY-4.0 | assets/c351fc280be00edb0b589b6092f18e2ccc031260c9863080cc8ecae369293eb6.pdf | c351fc280be00edb0b589b6092f18e2ccc031260c9863080cc8ecae369293eb6 | arxiv:2608.24581 | page | 17 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","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":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://a... | CC-BY-4.0 | assets/b855cf56ffbc5758b9508461d3c0202004691f6ea644e5de6d7c245f961a9878.pdf | b855cf56ffbc5758b9508461d3c0202004691f6ea644e5de6d7c245f961a9878 | arxiv:2608.24581 | page | 18 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","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":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://a... | CC-BY-4.0 | assets/cd4c0dcbc719455b42a7b92e351b749dc1e977e98dd60024477db51c4368f7bd.pdf | cd4c0dcbc719455b42a7b92e351b749dc1e977e98dd60024477db51c4368f7bd | arxiv:2608.24581 | page | 19 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","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":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://a... | CC-BY-4.0 | assets/87a2db7a012c3281f8477094f075db43485756ed314b3788628cd3667a42c7ef.pdf | 87a2db7a012c3281f8477094f075db43485756ed314b3788628cd3667a42c7ef | arxiv:2608.24581 | page | 20 | {"arxiv_id":"2608.24581","authors":"Roman Ya. Kezerashvili, Shalva M. Tsiklauri, and Anastasia Spiridonova","title":"Intervalley Magnetotrions Tunable by Electric and Magnetic Fields in Buckled Two-Dimensional Materials","url":"https://arxiv.org/abs/2608.24581v1","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":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3},"blocks":[{"bbox":[266.57,94.13,78.85,7.97],"bbox_pdf... | CC-BY-4.0 | assets/f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf.pdf | f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf | arxiv:2608.24583 | page | 6 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[126.67,135.86,315.13,12.69],"bbox_pdf":[126.67,643.45,441.8,656.14],"fragments":[{"bbox_pdf":[126.67,643.45,441.8,656.14],"words":[2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2113,2114,2115,2116,2117,2118,2119,2120]}],"html":null,"kind":"paragraph","latex":"\\alpha_{k}=\\overline{\\alpha_{k}},\\... | CC-BY-4.0 | assets/f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf.pdf | f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf | arxiv:2608.24583 | formula | 6 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[126.67,190.33,210.39,12.55],"bbox_pdf":[126.67,589.12,337.07,601.67],"fragments":[{"bbox_pdf":[126.67,589.12,337.07,601.67],"words":[2151,2152,2153,2154]}],"html":null,"kind":"paragraph","latex":"A({\\mathcal{H}}_{1})\\subset{\\mathcal{H}}_{1}.","level":null,"list_depth":null,"match":{"src_placed":1.0... | CC-BY-4.0 | assets/f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf.pdf | f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf | arxiv:2608.24583 | formula | 6 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[271.9,257.75,68.2,13.7],"bbox_pdf":[271.9,520.54,340.1,534.25],"fragments":[{"bbox_pdf":[271.9,520.54,340.1,534.25],"words":[2200,2201,2202]}],"html":null,"kind":"paragraph","latex":"A|_{{\\mathcal{H}}_{1}}=\\alpha I|_{{\\mathcal{H}}_{1}}.","level":null,"list_depth":null,"match":{"src_placed":1.0,"ver... | CC-BY-4.0 | assets/f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf.pdf | f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf | arxiv:2608.24583 | formula | 6 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[126.67,299.27,210.39,12.55],"bbox_pdf":[126.67,480.18,337.07,492.73],"fragments":[{"bbox_pdf":[126.67,480.18,337.07,492.73],"words":[2211,2212,2213,2214]}],"html":null,"kind":"paragraph","latex":"A({\\mathcal{H}}_{2})\\subset{\\mathcal{H}}_{2}.","level":null,"list_depth":null,"match":{"src_placed":1.0... | CC-BY-4.0 | assets/f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf.pdf | f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf | arxiv:2608.24583 | formula | 6 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[272.04,366.69,67.93,13.71],"bbox_pdf":[272.04,411.6,339.96,425.31],"fragments":[{"bbox_pdf":[272.04,411.6,339.96,425.31],"words":[2261,2262,2263]}],"html":null,"kind":"paragraph","latex":"A|_{{\\mathcal{H}}_{2}}=\\beta I|_{{\\mathcal{H}}_{2}}.","level":null,"list_depth":null,"match":{"src_placed":1.0,... | CC-BY-4.0 | assets/f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf.pdf | f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf | arxiv:2608.24583 | formula | 6 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[225.35,408.21,161.29,10.91],"bbox_pdf":[225.35,372.88,386.64,383.79],"fragments":[{"bbox_pdf":[225.35,372.88,386.64,383.79],"words":[2267,2268,2269,2270,2271,2272,2273,2275,2276,2277]}],"html":null,"kind":"paragraph","latex":"A=\\alpha P+\\beta(I-P)\\in\\operatorname{span}\\{P,I\\}.","level":null,"lis... | CC-BY-4.0 | assets/f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf.pdf | f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf | arxiv:2608.24583 | formula | 6 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[244.59,512.04,122.82,34.54],"bbox_pdf":[244.59,245.42,367.41,279.96],"fragments":[{"bbox_pdf":[244.59,245.42,367.41,279.96],"words":[2324,2325,2326,2327,2328,2329,2330]}],"html":null,"kind":"paragraph","latex":"\\bigcap_{C\\in\\Lambda}\\mathcal{S}_{C}=\\operatorname{span}\\{P_{1},P_{2},I\\}.","level":... | CC-BY-4.0 | assets/f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf.pdf | f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf | arxiv:2608.24583 | formula | 6 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[224.5,575.55,163.0,12.55],"bbox_pdf":[224.5,203.91,387.5,216.45],"fragments":[{"bbox_pdf":[224.5,203.91,387.5,216.45],"words":[2342,2343,2344,2345,2346,2347,2348,2349,2350]}],"html":null,"kind":"paragraph","latex":"\\Lambda_{x}=\\{C\\in\\operatorname{Conj}({\\mathcal{H}})\\mid C(x)\\in\\mathbb{T}x\\}.... | CC-BY-4.0 | assets/f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf.pdf | f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf | arxiv:2608.24583 | formula | 6 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[243.51,630.77,124.97,35.53],"bbox_pdf":[243.51,125.7,368.48,161.23],"fragments":[{"bbox_pdf":[243.51,125.7,368.48,161.23],"words":[2368,2369,2370,2371,2372,2373,2374,2375]}],"html":null,"kind":"paragraph","latex":"\\bigcap_{C\\in\\Lambda_{x}}\\mathcal{S}_{C}=\\operatorname{span}\\{x\\otimes x,I\\}.","... | CC-BY-4.0 | assets/f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf.pdf | f17a7a75dd3a51c19e007967b72cd3efe3d4179d48472dd21b52eb378e72e2bf | arxiv:2608.24583 | formula | 6 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3},"blocks":[{"bbox":[266.57,94.13,78.85,7.97],"bbox_pdf... | CC-BY-4.0 | assets/4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6.pdf | 4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6 | arxiv:2608.24583 | page | 8 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[237.74,199.66,136.51,13.13],"bbox_pdf":[237.74,579.21,374.26,592.34],"fragments":[{"bbox_pdf":[237.74,579.21,374.26,592.34],"words":[3016,3017,3019,3020,3021]}],"html":null,"kind":"paragraph","latex":"(\\{\\alpha_{n}\\},\\sigma)\\cdot\\{e_{n}\\}=\\{\\alpha_{n}e_{\\sigma(n)}\\},","level":null,"list_dep... | CC-BY-4.0 | assets/4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6.pdf | 4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6 | arxiv:2608.24583 | formula | 8 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[255.18,264.18,101.64,12.55],"bbox_pdf":[255.18,515.27,356.82,527.82],"fragments":[{"bbox_pdf":[255.18,515.27,356.82,527.82],"words":[3061,3062,3063,3065]}],"html":null,"kind":"paragraph","latex":"\\{e_{n}\\}=g\\cdot s(q(\\{e_{n}\\})).","level":null,"list_depth":null,"match":{"src_placed":1.0,"verified... | CC-BY-4.0 | assets/4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6.pdf | 4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6 | arxiv:2608.24583 | formula | 8 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[162.73,306.16,286.55,21.43],"bbox_pdf":[162.73,464.41,449.27,485.84],"fragments":[{"bbox_pdf":[162.73,464.41,449.27,485.84],"words":[3089,3090,3091,3092,3093,3095,3096,3097,3099,3100,3101,3102,3103,3104,3105,3106,3107,3108,3109]}],"html":null,"kind":"paragraph","latex":"\\varphi\\bigl{(}g\\cdot s(x)\\... | CC-BY-4.0 | assets/4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6.pdf | 4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6 | arxiv:2608.24583 | formula | 8 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[180.28,466.79,251.43,35.07],"bbox_pdf":[180.28,290.14,431.72,325.21],"fragments":[{"bbox_pdf":[180.28,290.14,431.72,325.21],"words":[3200,3201,3202,3203,3204,3205,3207,3208,3209,3210,3211,3212,3213]}],"html":null,"kind":"paragraph","latex":"T(I)\\in T(\\bigcap_{C\\in\\operatorname{Conj}({\\mathcal{H}}... | CC-BY-4.0 | assets/4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6.pdf | 4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6 | arxiv:2608.24583 | formula | 8 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[212.66,551.67,186.68,37.33],"bbox_pdf":[212.66,203.0,399.34,240.33],"fragments":[{"bbox_pdf":[212.66,203.0,399.34,240.33],"words":[3255,3256,3257,3258,3259,3260,3261,3262,3263,3264]}],"html":null,"kind":"paragraph","latex":"\\bigcap_{C\\in\\Lambda_{e_{1}}}\\mathcal{S}_{C}=\\operatorname{span}\\{e_{1}\... | CC-BY-4.0 | assets/4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6.pdf | 4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6 | arxiv:2608.24583 | formula | 8 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[206.46,627.46,199.09,37.33],"bbox_pdf":[206.46,127.21,405.55,164.54],"fragments":[{"bbox_pdf":[206.46,127.21,405.55,164.54],"words":[3306,3307,3308,3309,3310,3311,3312,3313,3314,3315,3316,3317,3318,3319,3320]}],"html":null,"kind":"paragraph","latex":"\\bigcap_{C\\in\\Lambda_{e_{1}}}\\mathcal{S}_{\\psi... | CC-BY-4.0 | assets/4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6.pdf | 4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6 | arxiv:2608.24583 | formula | 8 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[126.67,686.09,232.81,15.76],"bbox_pdf":[126.67,90.15,359.48,105.91],"fragments":[{"bbox_pdf":[126.67,90.15,359.48,105.91],"words":[3332,3333,3334,3335,3336,3337,3338]}],"html":null,"kind":"paragraph","latex":"T(D_{\\{e_{1},e_{2}\\}})=D_{\\{e^{\\prime}_{1},e^{\\prime}_{2}\\}},","level":null,"list_depth... | CC-BY-4.0 | assets/4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6.pdf | 4c64e7fa38071967c51631218790a62daed1d591a578d82f2d1bb54fb1bf9fa6 | arxiv:2608.24583 | formula | 8 | {"arxiv_id":"2608.24583","authors":"Mayu Anzai and Shiho Oi","title":"Linear maps preserving families of C-symmetric operators","url":"https://arxiv.org/abs/2608.24583v3","version":3} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"annotates":["heading","list_item","table","paragraph","furniture"],"attribution":{"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1},"blocks":[{"bbox":[269.27,94.13,73.46,7.97],"bbox_pdf":[269... | CC-BY-4.0 | assets/ecb7f3fb32a53ce3c07ae9add7cba9c614f441641fa02b5a533ad056fc9ca08f.pdf | ecb7f3fb32a53ce3c07ae9add7cba9c614f441641fa02b5a533ad056fc9ca08f | arxiv:2608.24606 | page | 4 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[215.66,124.45,180.69,37.44],"bbox_pdf":[215.66,630.11,396.35,667.55],"fragments":[{"bbox_pdf":[215.66,630.11,396.35,667.55],"words":[1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062]}],"html":null,"kind":"paragraph","latex":"A(s)\\ =\\ \\log\\left(\\frac{1}{2}\\sqrt{\\fr... | CC-BY-4.0 | assets/ecb7f3fb32a53ce3c07ae9add7cba9c614f441641fa02b5a533ad056fc9ca08f.pdf | ecb7f3fb32a53ce3c07ae9add7cba9c614f441641fa02b5a533ad056fc9ca08f | arxiv:2608.24606 | formula | 4 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[178.06,242.17,255.88,74.6],"bbox_pdf":[178.06,475.22,433.94,549.83],"fragments":[{"bbox_pdf":[178.06,475.22,433.94,549.83],"words":[1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,... | CC-BY-4.0 | assets/ecb7f3fb32a53ce3c07ae9add7cba9c614f441641fa02b5a533ad056fc9ca08f.pdf | ecb7f3fb32a53ce3c07ae9add7cba9c614f441641fa02b5a533ad056fc9ca08f | arxiv:2608.24606 | formula | 4 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[223.53,351.05,164.93,10.91],"bbox_pdf":[223.53,430.04,388.46,440.95],"fragments":[{"bbox_pdf":[223.53,430.04,388.46,440.95],"words":[1214,1215,1216,1217,1218,1219,1220,1221]}],"html":null,"kind":"paragraph","latex":"\\log|a(t,s)|\\ \\longrightarrow\\ A(s)\\qquad(t\\rightarrow\\infty)","level":null,"li... | CC-BY-4.0 | assets/ecb7f3fb32a53ce3c07ae9add7cba9c614f441641fa02b5a533ad056fc9ca08f.pdf | ecb7f3fb32a53ce3c07ae9add7cba9c614f441641fa02b5a533ad056fc9ca08f | arxiv:2608.24606 | formula | 4 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[270.87,633.08,70.27,10.91],"bbox_pdf":[270.87,148.01,341.14,158.92],"fragments":[{"bbox_pdf":[270.87,148.01,341.14,158.92],"words":[1384,1386,1387,1388,1389]}],"html":null,"kind":"paragraph","latex":"F^{\\#}(z)=\\overline{F(\\bar{z})}.","level":null,"list_depth":null,"match":{"src_placed":1.0,"verifie... | CC-BY-4.0 | assets/ecb7f3fb32a53ce3c07ae9add7cba9c614f441641fa02b5a533ad056fc9ca08f.pdf | ecb7f3fb32a53ce3c07ae9add7cba9c614f441641fa02b5a533ad056fc9ca08f | arxiv:2608.24606 | formula | 4 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[215.97,676.08,269.36,25.77],"bbox_pdf":[215.97,90.15,485.33,115.92],"fragments":[{"bbox_pdf":[215.97,90.15,485.33,115.92],"words":[1400,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413]}],"html":null,"kind":"paragraph","latex":"\\frac{\\partial}{\\partial t}E(t,z)=-izE(t,z)+f(t)E^{\\#}(t,z)... | CC-BY-4.0 | assets/ecb7f3fb32a53ce3c07ae9add7cba9c614f441641fa02b5a533ad056fc9ca08f.pdf | ecb7f3fb32a53ce3c07ae9add7cba9c614f441641fa02b5a533ad056fc9ca08f | arxiv:2608.24606 | formula | 4 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","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":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1},"blocks":[{"bbox":[152.84,94.13,306.31,7.97],"bbox_pdf":[15... | CC-BY-4.0 | assets/9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a.pdf | 9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a | arxiv:2608.24606 | page | 7 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[135.46,124.28,349.87,32.63],"bbox_pdf":[135.46,635.09,485.33,667.72],"fragments":[{"bbox_pdf":[135.46,635.09,485.33,667.72],"words":[2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,2220,2221,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236]}],"... | CC-BY-4.0 | assets/9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a.pdf | 9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a | arxiv:2608.24606 | formula | 7 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[187.38,203.25,297.95,28.92],"bbox_pdf":[187.38,559.83,485.33,588.75],"fragments":[{"bbox_pdf":[187.38,559.83,485.33,588.75],"words":[2269,2270,2271,2272,2274,2273,2275,2276,2277,2278,2279,2280,2283,2281,2282,2284,2285,2286,2287,2288,2289,2290,2291]}],"html":null,"kind":"paragraph","latex":"K(t,\\lambd... | CC-BY-4.0 | assets/9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a.pdf | 9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a | arxiv:2608.24606 | formula | 7 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[254.93,256.13,102.14,20.77],"bbox_pdf":[254.93,515.1,357.07,535.87],"fragments":[{"bbox_pdf":[254.93,515.1,357.07,535.87],"words":[2299,2300,2301,2302,2303,2304]}],"html":null,"kind":"paragraph","latex":"\\gamma(p)=\\sqrt{2}/\\sqrt{\\sinh[2p]}","level":null,"list_depth":null,"match":{"src_placed":1.0,... | CC-BY-4.0 | assets/9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a.pdf | 9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a | arxiv:2608.24606 | formula | 7 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[215.66,301.61,180.69,10.91],"bbox_pdf":[215.66,479.48,396.34,490.39],"fragments":[{"bbox_pdf":[215.66,479.48,396.34,490.39],"words":[2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337]}],"html":null,"kind":"paragraph","latex":"Q(s,a)=\\{z\\ |\\ |\\Im z|<a,\\ |\\Re z-s|<a\\}","level":null... | CC-BY-4.0 | assets/9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a.pdf | 9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a | arxiv:2608.24606 | formula | 7 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[181.1,530.02,249.1,35.65],"bbox_pdf":[181.1,226.33,430.2,261.98],"fragments":[{"bbox_pdf":[181.1,226.33,430.2,261.98],"words":[2489,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507]}],"html":null,"kind":"paragraph","latex":"P_{z}(x)=\\frac{1}{\\pi}\\,\\frac{\\I... | CC-BY-4.0 | assets/9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a.pdf | 9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a | arxiv:2608.24606 | formula | 7 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[202.4,612.23,263.05,20.63],"bbox_pdf":[202.4,159.14,465.45,179.77],"fragments":[{"bbox_pdf":[202.4,159.14,465.45,179.77],"words":[2549,2550,2551,2552,2553,2555,2556,2557,2558,2559,2560,2562,2563]}],"html":null,"kind":"paragraph","latex":"M_{h}\\nu(\\sigma)=\\sup\\left\\{P|\\nu|(z):\\ z\\in\\Gamma_{\\s... | CC-BY-4.0 | assets/9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a.pdf | 9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a | arxiv:2608.24606 | formula | 7 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[141.7,629.22,328.6,15.25],"bbox_pdf":[141.7,147.53,470.3,162.78],"fragments":[{"bbox_pdf":[141.7,147.53,470.3,162.78],"words":[2564,2565,2566,2567,2568,2569,2570,2571,2573,2574,2575,2576,2577,2578,2579,2580]}],"html":null,"kind":"paragraph","latex":"{\\mathcal{M}}_{h}g(\\sigma)=M_{h}\\!\\left(|g-g(\\s... | CC-BY-4.0 | assets/9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a.pdf | 9ad4b3dca890dbe23b1237c87513ff3d0d5d7d4adf882c44feeae246cda1b95a | arxiv:2608.24606 | formula | 7 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","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":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1},"blocks":[{"bbox":[126.67,94.13,8.47,7.97],"bbox_pdf":[126.... | CC-BY-4.0 | assets/11cab330e335e46078b8ffafd51de7e5ee33ae2a297ba34dd15b84dabb852bbf.pdf | 11cab330e335e46078b8ffafd51de7e5ee33ae2a297ba34dd15b84dabb852bbf | arxiv:2608.24606 | page | 10 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[126.67,234.42,358.66,34.26],"bbox_pdf":[126.67,523.33,485.33,557.58],"fragments":[{"bbox_pdf":[126.67,523.33,485.33,557.58],"words":[3691,3692,3693,3694,3695,3696,3697,3698,3699,3700,3701,3702,3703,3704,3705,3706,3707,3708,3709,3710,3711,3712,3713,3714,3715,3716,3717,3718,3719,3720,3721]}],"html":null... | CC-BY-4.0 | assets/11cab330e335e46078b8ffafd51de7e5ee33ae2a297ba34dd15b84dabb852bbf.pdf | 11cab330e335e46078b8ffafd51de7e5ee33ae2a297ba34dd15b84dabb852bbf | arxiv:2608.24606 | formula | 10 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[176.54,664.76,308.79,34.21],"bbox_pdf":[176.54,93.03,485.33,127.24],"fragments":[{"bbox_pdf":[176.54,93.03,485.33,127.24],"words":[4124,4125,4126,4127,4128,4129,4130,4131,4132,4133,4134,4135,4136,4137,4138,4139,4140,4141,4142,4143,4144,4145,4146,4147,4148,4149]}],"html":null,"kind":"paragraph","latex"... | CC-BY-4.0 | assets/11cab330e335e46078b8ffafd51de7e5ee33ae2a297ba34dd15b84dabb852bbf.pdf | 11cab330e335e46078b8ffafd51de7e5ee33ae2a297ba34dd15b84dabb852bbf | arxiv:2608.24606 | formula | 10 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","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":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1},"blocks":[{"bbox":[152.84,94.13,306.31,7.97],"bbox_pdf":[15... | CC-BY-4.0 | assets/908b906824b50a32b9e4ee9bddc1205516c51a64be0617b13a640ed72f6ec915.pdf | 908b906824b50a32b9e4ee9bddc1205516c51a64be0617b13a640ed72f6ec915 | arxiv:2608.24606 | page | 11 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[141.35,292.29,343.97,33.78],"bbox_pdf":[141.35,465.94,485.32,499.71],"fragments":[{"bbox_pdf":[141.35,465.94,485.32,499.71],"words":[4350,4351,4352,4353,4354,4355,4356,4357,4358,4359,4360,4361,4362,4363,4364,4365,4366,4367,4368,4369,4370,4371,4373,4374,4375,4376]}],"html":null,"kind":"paragraph","late... | CC-BY-4.0 | assets/908b906824b50a32b9e4ee9bddc1205516c51a64be0617b13a640ed72f6ec915.pdf | 908b906824b50a32b9e4ee9bddc1205516c51a64be0617b13a640ed72f6ec915 | arxiv:2608.24606 | formula | 11 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[167.94,378.08,276.13,30.5],"bbox_pdf":[167.94,383.42,444.07,413.92],"fragments":[{"bbox_pdf":[167.94,383.42,444.07,413.92],"words":[4412,4413,4414,4415,4416,4417,4418,4419,4420,4421,4422,4423,4424,4425,4426,4427,4428,4430,4431,4432,4433]}],"html":null,"kind":"paragraph","latex":"z\\ \\mapsto\\ {\\math... | CC-BY-4.0 | assets/908b906824b50a32b9e4ee9bddc1205516c51a64be0617b13a640ed72f6ec915.pdf | 908b906824b50a32b9e4ee9bddc1205516c51a64be0617b13a640ed72f6ec915 | arxiv:2608.24606 | formula | 11 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[169.29,535.7,273.43,25.77],"bbox_pdf":[169.29,230.53,442.71,256.3],"fragments":[{"bbox_pdf":[169.29,230.53,442.71,256.3],"words":[4587,4588,4589,4590,4591,4592,4593,4594,4595,4596,4597,4598,4599,4600,4601,4602,4603,4604,4605]}],"html":null,"kind":"paragraph","latex":"\\left|{\\mathcal{D}}(t,p,x)\\righ... | CC-BY-4.0 | assets/908b906824b50a32b9e4ee9bddc1205516c51a64be0617b13a640ed72f6ec915.pdf | 908b906824b50a32b9e4ee9bddc1205516c51a64be0617b13a640ed72f6ec915 | arxiv:2608.24606 | formula | 11 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[162.6,619.14,286.8,25.77],"bbox_pdf":[162.6,147.09,449.4,172.86],"fragments":[{"bbox_pdf":[162.6,147.09,449.4,172.86],"words":[4658,4659,4660,4661,4662,4663,4664,4665,4666,4667,4668,4669,4670,4671,4672,4673,4674,4675]}],"html":null,"kind":"paragraph","latex":"\\tau_{k}=p+\\frac{k\\pi}{t}\\pm\\frac{4\\... | CC-BY-4.0 | assets/908b906824b50a32b9e4ee9bddc1205516c51a64be0617b13a640ed72f6ec915.pdf | 908b906824b50a32b9e4ee9bddc1205516c51a64be0617b13a640ed72f6ec915 | arxiv:2608.24606 | formula | 11 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","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":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1},"blocks":[{"bbox":[126.67,94.13,8.47,7.97],"bbox_pdf":[126.... | CC-BY-4.0 | assets/952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824.pdf | 952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824 | arxiv:2608.24606 | page | 18 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[161.91,301.36,288.19,35.37],"bbox_pdf":[161.91,455.27,450.1,490.64],"fragments":[{"bbox_pdf":[161.91,455.27,450.1,490.64],"words":[7869,7870,7871,7872,7873,7874,7875,7876,7877,7878,7879,7880,7881,7882,7883]}],"html":null,"kind":"paragraph","latex":"M_{t_{1}\\rightarrow t_{2}}(z)=\\begin{pmatrix}A_{t_{... | CC-BY-4.0 | assets/952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824.pdf | 952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824 | arxiv:2608.24606 | formula | 18 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[164.67,359.66,282.67,44.47],"bbox_pdf":[164.67,387.88,447.34,432.34],"fragments":[{"bbox_pdf":[164.67,387.88,447.34,432.34],"words":[7886,7887,7888,7889,7890,7891,7895,7892,7893,7894,7896,7897,7898,7899,7900]}],"html":null,"kind":"paragraph","latex":"E_{t_{1}\\rightarrow t_{2}}=A_{t_{1}\\rightarrow t_... | CC-BY-4.0 | assets/952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824.pdf | 952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824 | arxiv:2608.24606 | formula | 18 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[193.81,387.71,224.92,47.28],"bbox_pdf":[193.81,357.01,418.73,404.29],"fragments":[{"bbox_pdf":[193.81,357.01,418.73,404.29],"words":[7901,7902,7903,7904,7905,7906,7907,7908,7909,7910,7911,7912,7913,7914,7915]}],"html":null,"kind":"paragraph","latex":"\\begin{gathered}a_{t_{1}\\rightarrow t_{2}}(z)=\\f... | CC-BY-4.0 | assets/952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824.pdf | 952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824 | arxiv:2608.24606 | formula | 18 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[216.58,479.77,268.74,25.77],"bbox_pdf":[216.58,286.46,485.32,312.23],"fragments":[{"bbox_pdf":[216.58,286.46,485.32,312.23],"words":[7950,7951,7952,7953,7954,7955,7956,7957,7958,7959,7960,7961]}],"html":null,"kind":"paragraph","latex":"||\\log|a_{t_{1}\\rightarrow t_{2}}|\\ ||_{L^{1}({\\mathbb{R}})}=\... | CC-BY-4.0 | assets/952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824.pdf | 952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824 | arxiv:2608.24606 | formula | 18 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[160.62,542.43,195.58,47.86],"bbox_pdf":[160.62,201.72,356.21,249.57],"fragments":[{"bbox_pdf":[160.62,201.72,356.21,249.57],"words":[7975,7976,7977,7978,7981,7982,7983,7984]}],"html":null,"kind":"paragraph","latex":"\\begin{pmatrix}E_{t_{1}\\rightarrow t_{2}}&\\tilde{E}_{t_{1}\\rightarrow t_{2}}\\\\\n... | CC-BY-4.0 | assets/952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824.pdf | 952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824 | arxiv:2608.24606 | formula | 18 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[149.11,579.37,313.78,35.24],"bbox_pdf":[149.11,177.38,462.89,212.63],"fragments":[{"bbox_pdf":[149.11,177.38,462.89,212.63],"words":[7985,7986,7987,7988,7989,7990,7991,7992,7993,7994,7995,7996,7997,7998,7999,8000,8001,8002,8003,8007,8008,8009,8010,8011,8012,8013,8014,8015,8016,8017,8018,8019,8020,8021... | CC-BY-4.0 | assets/952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824.pdf | 952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824 | arxiv:2608.24606 | formula | 18 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[148.01,635.65,337.32,25.76],"bbox_pdf":[148.01,130.59,485.33,156.35],"fragments":[{"bbox_pdf":[148.01,130.59,485.33,156.35],"words":[8033,8034,8035,8036,8037,8038,8039,8040,8043,8044,8045,8046,8047,8049,8050,8051,8052]}],"html":null,"kind":"paragraph","latex":"a_{t_{1}\\rightarrow t_{2}}(z)=\\frac{e^{... | CC-BY-4.0 | assets/952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824.pdf | 952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824 | arxiv:2608.24606 | formula | 18 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[156.11,655.24,329.22,46.61],"bbox_pdf":[156.11,90.15,485.33,136.76],"fragments":[{"bbox_pdf":[156.11,90.15,485.33,136.76],"words":[8053,8054,8055,8056,8057,8058,8059,8060,8066,8061,8062,8063,8064,8065,8067,8068,8069,8070]}],"html":null,"kind":"paragraph","latex":"b_{t_{1}\\rightarrow t_{2}}(z)=\\frac{... | CC-BY-4.0 | assets/952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824.pdf | 952e7ab88b940dd864ee535ba3e95c1cced7bbcfe5eddaa4d1c371c1a52d2824 | arxiv:2608.24606 | formula | 18 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","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":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1},"blocks":[{"bbox":[152.84,94.13,306.31,7.97],"bbox_pdf":[15... | CC-BY-4.0 | assets/283d55adc85a7cbac47dffe49d0eb54e3019b1ca49abd74b6f6b57e3c1cbcbde.pdf | 283d55adc85a7cbac47dffe49d0eb54e3019b1ca49abd74b6f6b57e3c1cbcbde | arxiv:2608.24606 | page | 19 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[186.13,280.08,239.74,15.17],"bbox_pdf":[186.13,496.75,425.87,511.92],"fragments":[{"bbox_pdf":[186.13,496.75,425.87,511.92],"words":[8202,8203,8204,8205,8206,8207,8208,8209,8210,8211,8212,8213,8214,8215,8216]}],"html":null,"kind":"paragraph","latex":"\\eta:=w(s)\\tilde{w}(s)\\in[\\eta_{0}^{2},1],\\qqu... | CC-BY-4.0 | assets/283d55adc85a7cbac47dffe49d0eb54e3019b1ca49abd74b6f6b57e3c1cbcbde.pdf | 283d55adc85a7cbac47dffe49d0eb54e3019b1ca49abd74b6f6b57e3c1cbcbde | arxiv:2608.24606 | formula | 19 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[208.29,552.43,195.42,12.55],"bbox_pdf":[208.29,227.03,403.71,239.57],"fragments":[{"bbox_pdf":[208.29,227.03,403.71,239.57],"words":[8444,8445,8446,8447,8448,8449,8450,8451,8452]}],"html":null,"kind":"paragraph","latex":"S:=\\sinh[2v_{1}]\\sinh[2v_{2}],\\qquad\\nu:=v_{2}-v_{1}.","level":null,"list_dep... | CC-BY-4.0 | assets/283d55adc85a7cbac47dffe49d0eb54e3019b1ca49abd74b6f6b57e3c1cbcbde.pdf | 283d55adc85a7cbac47dffe49d0eb54e3019b1ca49abd74b6f6b57e3c1cbcbde | arxiv:2608.24606 | formula | 19 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[144.32,632.91,300.93,29.66],"bbox_pdf":[144.32,129.43,445.25,159.09],"fragments":[{"bbox_pdf":[144.32,129.43,445.25,159.09],"words":[8490,8491,8492,8493,8494,8495,8496,8497,8498,8499,8500,8501,8502,8503,8504,8505,8506,8507,8508,8509,8510,8511,8512]}],"html":null,"kind":"paragraph","latex":"\\left\\lan... | CC-BY-4.0 | assets/283d55adc85a7cbac47dffe49d0eb54e3019b1ca49abd74b6f6b57e3c1cbcbde.pdf | 283d55adc85a7cbac47dffe49d0eb54e3019b1ca49abd74b6f6b57e3c1cbcbde | arxiv:2608.24606 | formula | 19 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[462.91,641.74,22.42,10.91],"bbox_pdf":[462.91,139.35,485.33,150.26],"fragments":[{"bbox_pdf":[462.91,139.35,485.33,150.26],"words":[8513]}],"html":null,"kind":"paragraph","latex":"\\left\\langle|b_{t\\rightarrow 2t}|^{2}\\right\\rangle_{J(s)}\\ \\geq\\ \\frac{\\cosh[2%\n\\nu]}{2^{8}\\,S},\\qquad\\sup_... | CC-BY-4.0 | assets/283d55adc85a7cbac47dffe49d0eb54e3019b1ca49abd74b6f6b57e3c1cbcbde.pdf | 283d55adc85a7cbac47dffe49d0eb54e3019b1ca49abd74b6f6b57e3c1cbcbde | arxiv:2608.24606 | formula | 19 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","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":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1},"blocks":[{"bbox":[126.67,94.13,8.47,7.97],"bbox_pdf":[126.... | CC-BY-4.0 | assets/292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482.pdf | 292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482 | arxiv:2608.24606 | page | 20 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[186.77,127.98,298.56,35.41],"bbox_pdf":[186.77,628.61,485.33,664.02],"fragments":[{"bbox_pdf":[186.77,628.61,485.33,664.02],"words":[8560,8561,8562,8563,8564,8565,8566,8567,8568,8569,8570,8571,8572,8573,8574,8575,8576,8577,8578,8579]}],"html":null,"kind":"paragraph","latex":"\\log|a_{t\\rightarrow 2t}... | CC-BY-4.0 | assets/292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482.pdf | 292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482 | arxiv:2608.24606 | formula | 20 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[126.67,207.64,358.65,12.69],"bbox_pdf":[126.67,571.67,485.33,584.36],"fragments":[{"bbox_pdf":[126.67,571.67,485.33,584.36],"words":[8599,8600,8601,8602,8603,8604,8605,8606,8607,8608,8609,8610,8611,8612,8613,8614,8615,8616,8617,8618,8619]}],"html":null,"kind":"paragraph","latex":"\\theta_{k}=t_{k}(p-\... | CC-BY-4.0 | assets/292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482.pdf | 292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482 | arxiv:2608.24606 | formula | 20 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[218.42,247.0,266.91,57.06],"bbox_pdf":[218.42,487.94,485.33,545.0],"fragments":[{"bbox_pdf":[218.42,487.94,485.33,545.0],"words":[8630,8631,8632,8633,8634,8635,8636,8637,8638,8639,8640,8641,8642,8644,8645,8646,8647,8648,8649,8650,8651,8652,8653,8654,8655]}],"html":null,"kind":"paragraph","latex":"\\be... | CC-BY-4.0 | assets/292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482.pdf | 292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482 | arxiv:2608.24606 | formula | 20 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[245.51,324.98,113.86,22.87],"bbox_pdf":[245.51,444.15,359.37,467.02],"fragments":[{"bbox_pdf":[245.51,444.15,359.37,467.02],"words":[8663,8664,8665,8666,8667,8668,8669,8670,8671,8672]}],"html":null,"kind":"paragraph","latex":"\\vartheta^{\\prime}\\ :=\\ K_{7}\\left(\\vartheta\\eta_{0}^{-3}\\right)^{1/... | CC-BY-4.0 | assets/292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482.pdf | 292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482 | arxiv:2608.24606 | formula | 20 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[143.9,528.84,341.43,28.57],"bbox_pdf":[143.9,234.59,485.33,263.16],"fragments":[{"bbox_pdf":[143.9,234.59,485.33,263.16],"words":[8857,8858,8859,8860,8861,8862,8863,8864,8865,8866,8867,8868,8869,8870,8871,8872,8873,8874,8875]}],"html":null,"kind":"paragraph","latex":"2ie^{-i(t_{2}-t_{1})p}\\,b_{t\\rig... | CC-BY-4.0 | assets/292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482.pdf | 292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482 | arxiv:2608.24606 | formula | 20 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[188.15,611.04,297.18,16.84],"bbox_pdf":[188.15,164.12,485.33,180.96],"fragments":[{"bbox_pdf":[188.15,164.12,485.33,180.96],"words":[8929,8930,8931,8932,8933,8934,8935,8936,8937,8938,8939,8940,8941,8942]}],"html":null,"kind":"paragraph","latex":"|R(p)|\\ \\leq\\ K\\,\\vartheta^{\\prime}\\,e^{4C}\\eta_... | CC-BY-4.0 | assets/292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482.pdf | 292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482 | arxiv:2608.24606 | formula | 20 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[131.94,671.35,348.12,30.5],"bbox_pdf":[131.94,90.15,480.06,120.65],"fragments":[{"bbox_pdf":[131.94,90.15,480.06,120.65],"words":[8960,8961,8962,8963,8964,8965,8966,8967,8968,8969,8970,8971,8972,8973,8974,8975,8976,8977,8978,8979,8980,8981,8982]}],"html":null,"kind":"paragraph","latex":"S_{k}=\\frac{i... | CC-BY-4.0 | assets/292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482.pdf | 292ca694f86ec48f5c05785e62916e9b87a1fd5f796a1b51f89c6b74cfb6a482 | arxiv:2608.24606 | formula | 20 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","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":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1},"blocks":[{"bbox":[152.84,94.13,306.31,7.97],"bbox_pdf":[15... | CC-BY-4.0 | assets/0eda722c8285d9ba6aae093d22dd091fbf142c6bbd4c924ba8391977afaf58af.pdf | 0eda722c8285d9ba6aae093d22dd091fbf142c6bbd4c924ba8391977afaf58af | arxiv:2608.24606 | page | 25 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[187.56,331.31,297.77,26.14],"bbox_pdf":[187.56,434.55,485.32,460.69],"fragments":[{"bbox_pdf":[187.56,434.55,485.32,460.69],"words":[11004,11005,11006,11007,11008,11009,11010,11011,11012,11013,11014,11015,11016,11017,11018,11019,11020,11021,11022,11023,11024,11025,11026,11027]}],"html":null,"kind":"pa... | CC-BY-4.0 | assets/0eda722c8285d9ba6aae093d22dd091fbf142c6bbd4c924ba8391977afaf58af.pdf | 0eda722c8285d9ba6aae093d22dd091fbf142c6bbd4c924ba8391977afaf58af | arxiv:2608.24606 | formula | 25 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[151.11,564.75,309.79,33.77],"bbox_pdf":[151.11,193.48,460.9,227.25],"fragments":[{"bbox_pdf":[151.11,193.48,460.9,227.25],"words":[11212,11213,11214,11215,11216,11217,11218,11219,11220,11221,11222,11223,11224,11225,11226,11227,11228,11229,11230,11231,11232,11233,11234,11235,11236,11237]}],"html":null,... | CC-BY-4.0 | assets/0eda722c8285d9ba6aae093d22dd091fbf142c6bbd4c924ba8391977afaf58af.pdf | 0eda722c8285d9ba6aae093d22dd091fbf142c6bbd4c924ba8391977afaf58af | arxiv:2608.24606 | formula | 25 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[223.74,630.4,164.53,25.77],"bbox_pdf":[223.74,135.82,388.26,161.6],"fragments":[{"bbox_pdf":[223.74,135.82,388.26,161.6],"words":[11252,11253,11254,11255,11256,11257,11258,11259,11260,11261,11262,11263]}],"html":null,"kind":"paragraph","latex":"u(t,s)\\ \\geq\\ A(s)+\\frac{1}{2}\\log\\tanh v-\\omega."... | CC-BY-4.0 | assets/0eda722c8285d9ba6aae093d22dd091fbf142c6bbd4c924ba8391977afaf58af.pdf | 0eda722c8285d9ba6aae093d22dd091fbf142c6bbd4c924ba8391977afaf58af | arxiv:2608.24606 | formula | 25 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","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":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1},"blocks":[{"bbox":[126.67,94.13,8.47,7.97],"bbox_pdf":[126.... | CC-BY-4.0 | assets/ac305dedf4f6f9963b69c7eaf2d5f6aa489326608b59fc4c3478bae0350aa5e0.pdf | ac305dedf4f6f9963b69c7eaf2d5f6aa489326608b59fc4c3478bae0350aa5e0 | arxiv:2608.24606 | page | 30 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[189.63,147.69,232.75,37.11],"bbox_pdf":[189.63,607.2,422.37,644.31],"fragments":[{"bbox_pdf":[189.63,607.2,422.37,644.31],"words":[13504,13505,13506,13507,13508,13509,13510,13511,13512,13513,13516,13517,13518,13519,13520,13521,13522,13523,13524,13525,13526,13527,13528,13529]}],"html":null,"kind":"para... | CC-BY-4.0 | assets/ac305dedf4f6f9963b69c7eaf2d5f6aa489326608b59fc4c3478bae0350aa5e0.pdf | ac305dedf4f6f9963b69c7eaf2d5f6aa489326608b59fc4c3478bae0350aa5e0 | arxiv:2608.24606 | formula | 30 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[126.67,195.47,364.79,33.78],"bbox_pdf":[126.67,562.75,491.46,596.53],"fragments":[{"bbox_pdf":[126.67,562.75,491.46,596.53],"words":[13531,13532,13533,13534,13535,13536,13537,13538,13539,13540,13541,13542,13543,13544,13545,13546,13547,13548,13549,13550,13551,13552,13553,13554,13555,13556,13557,13558,1... | CC-BY-4.0 | assets/ac305dedf4f6f9963b69c7eaf2d5f6aa489326608b59fc4c3478bae0350aa5e0.pdf | ac305dedf4f6f9963b69c7eaf2d5f6aa489326608b59fc4c3478bae0350aa5e0 | arxiv:2608.24606 | formula | 30 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[221.72,406.53,168.57,37.44],"bbox_pdf":[221.72,348.03,390.28,385.47],"fragments":[{"bbox_pdf":[221.72,348.03,390.28,385.47],"words":[13740,13741,13742,13743,13744,13745,13746,13747,13748,13749,13750,13751,13752,13753,13754]}],"html":null,"kind":"paragraph","latex":"A(s)=\\log\\left(\\frac{1}{2}\\sqrt{... | CC-BY-4.0 | assets/ac305dedf4f6f9963b69c7eaf2d5f6aa489326608b59fc4c3478bae0350aa5e0.pdf | ac305dedf4f6f9963b69c7eaf2d5f6aa489326608b59fc4c3478bae0350aa5e0 | arxiv:2608.24606 | formula | 30 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[156.33,579.8,329.0,12.55],"bbox_pdf":[156.33,199.65,485.33,212.2],"fragments":[{"bbox_pdf":[156.33,199.65,485.33,212.2],"words":[13886,13887,13888,13889,13890,13891,13892,13893,13894,13895,13896,13897,13898,13899,13901]}],"html":null,"kind":"paragraph","latex":"C(\\eta_{0},\\lambda):=C_{0}+K_{13}\\lef... | CC-BY-4.0 | assets/ac305dedf4f6f9963b69c7eaf2d5f6aa489326608b59fc4c3478bae0350aa5e0.pdf | ac305dedf4f6f9963b69c7eaf2d5f6aa489326608b59fc4c3478bae0350aa5e0 | arxiv:2608.24606 | formula | 30 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[196.18,646.79,289.15,21.38],"bbox_pdf":[196.18,123.82,485.33,145.21],"fragments":[{"bbox_pdf":[196.18,123.82,485.33,145.21],"words":[13957,13958,13959,13960,13961,13962,13963,13964,13965,13966,13967,13968,13969,13970,13971,13973,13974]}],"html":null,"kind":"paragraph","latex":"{\\mathcal{R}}(T,\\eta_{... | CC-BY-4.0 | assets/ac305dedf4f6f9963b69c7eaf2d5f6aa489326608b59fc4c3478bae0350aa5e0.pdf | ac305dedf4f6f9963b69c7eaf2d5f6aa489326608b59fc4c3478bae0350aa5e0 | arxiv:2608.24606 | formula | 30 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","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":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1},"blocks":[{"bbox":[126.67,94.13,8.47,7.97],"bbox_pdf":[126.... | CC-BY-4.0 | assets/6f610ac4ead8619ccbd495367270ee6d154b032468b3f47acfe1903800c75478.pdf | 6f610ac4ead8619ccbd495367270ee6d154b032468b3f47acfe1903800c75478 | arxiv:2608.24606 | page | 32 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[212.19,333.11,273.13,14.11],"bbox_pdf":[212.19,444.78,485.32,458.89],"fragments":[{"bbox_pdf":[212.19,444.78,485.32,458.89],"words":[14784,14785,14786,14787,14788,14789,14790,14791,14792,14793,14794,14795,14796]}],"html":null,"kind":"paragraph","latex":"v\\ \\leq\\ v_{*}(\\lambda):=\\min\\left(\\left(... | CC-BY-4.0 | assets/6f610ac4ead8619ccbd495367270ee6d154b032468b3f47acfe1903800c75478.pdf | 6f610ac4ead8619ccbd495367270ee6d154b032468b3f47acfe1903800c75478 | arxiv:2608.24606 | formula | 32 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[181.52,468.04,248.97,30.51],"bbox_pdf":[181.52,293.46,430.48,323.96],"fragments":[{"bbox_pdf":[181.52,293.46,430.48,323.96],"words":[14949,14950,14951,14952,14953,14954,14955,14956,14957,14958,14959,14960,14961,14962,14963,14964,14965,14966,14967,14968,14969]}],"html":null,"kind":"paragraph","latex":"... | CC-BY-4.0 | assets/6f610ac4ead8619ccbd495367270ee6d154b032468b3f47acfe1903800c75478.pdf | 6f610ac4ead8619ccbd495367270ee6d154b032468b3f47acfe1903800c75478 | arxiv:2608.24606 | formula | 32 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[177.47,617.01,257.07,37.11],"bbox_pdf":[177.47,137.88,434.53,174.99],"fragments":[{"bbox_pdf":[177.47,137.88,434.53,174.99],"words":[15062,15063,15064,15065,15066,15067,15068,15069,15070,15071,15074,15075,15076,15077,15078,15079,15080,15081,15082,15083,15084,15085,15086]}],"html":null,"kind":"paragrap... | CC-BY-4.0 | assets/6f610ac4ead8619ccbd495367270ee6d154b032468b3f47acfe1903800c75478.pdf | 6f610ac4ead8619ccbd495367270ee6d154b032468b3f47acfe1903800c75478 | arxiv:2608.24606 | formula | 32 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[193.43,682.55,291.9,18.39],"bbox_pdf":[193.43,91.06,485.33,109.45],"fragments":[{"bbox_pdf":[193.43,91.06,485.33,109.45],"words":[15092,15093,15094,15095,15096,15097,15098,15099,15100,15101,15102,15103,15104,15105,15106,15107,15108]}],"html":null,"kind":"paragraph","latex":"\\Phi(v_{*}(\\lambda),C)\\ ... | CC-BY-4.0 | assets/6f610ac4ead8619ccbd495367270ee6d154b032468b3f47acfe1903800c75478.pdf | 6f610ac4ead8619ccbd495367270ee6d154b032468b3f47acfe1903800c75478 | arxiv:2608.24606 | formula | 32 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","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":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1},"blocks":[{"bbox":[152.84,94.13,306.31,7.97],"bbox_pdf":[15... | CC-BY-4.0 | assets/0f4ec41b4739f2c637bcd2d43e3b58fbbe758e7aa149ef37f8a5695996b47c24.pdf | 0f4ec41b4739f2c637bcd2d43e3b58fbbe758e7aa149ef37f8a5695996b47c24 | arxiv:2608.24606 | page | 33 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[153.47,246.7,305.05,25.72],"bbox_pdf":[153.47,519.58,458.53,545.3],"fragments":[{"bbox_pdf":[153.47,519.58,458.53,545.3],"words":[15285,15286,15287,15288,15289,15290,15291,15292,15294,15295,15296,15297,15298,15299,15300,15301,15302,15303,15304,15305,15306,15307,15308,15309,15310,15311,15312,15313]}],"... | CC-BY-4.0 | assets/0f4ec41b4739f2c637bcd2d43e3b58fbbe758e7aa149ef37f8a5695996b47c24.pdf | 0f4ec41b4739f2c637bcd2d43e3b58fbbe758e7aa149ef37f8a5695996b47c24 | arxiv:2608.24606 | formula | 33 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[219.92,346.13,173.34,25.77],"bbox_pdf":[219.92,420.09,393.27,445.87],"fragments":[{"bbox_pdf":[219.92,420.09,393.27,445.87],"words":[15378,15379,15380,15381,15382,15383,15384,15385,15386,15387,15388,15389,15390,15391,15392]}],"html":null,"kind":"paragraph","latex":"\\frac{\\lambda}{2}+\\rho+2\\omega\\... | CC-BY-4.0 | assets/0f4ec41b4739f2c637bcd2d43e3b58fbbe758e7aa149ef37f8a5695996b47c24.pdf | 0f4ec41b4739f2c637bcd2d43e3b58fbbe758e7aa149ef37f8a5695996b47c24 | arxiv:2608.24606 | formula | 33 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[208.3,429.29,194.06,27.42],"bbox_pdf":[208.3,335.29,402.36,362.71],"fragments":[{"bbox_pdf":[208.3,335.29,402.36,362.71],"words":[15438,15439,15440,15441,15442,15443,15444,15445,15446,15447,15448,15449,15450,15451,15452]}],"html":null,"kind":"paragraph","latex":"e^{16C}\\left(C+1\\right)\\,\\frac{\\et... | CC-BY-4.0 | assets/0f4ec41b4739f2c637bcd2d43e3b58fbbe758e7aa149ef37f8a5695996b47c24.pdf | 0f4ec41b4739f2c637bcd2d43e3b58fbbe758e7aa149ef37f8a5695996b47c24 | arxiv:2608.24606 | formula | 33 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
Innovation Trigger B.V., PDFluent ground-truth annotations (2026) | {"block":{"bbox":[246.45,509.97,119.09,17.63],"bbox_pdf":[246.45,264.41,365.55,282.03],"fragments":[{"bbox_pdf":[246.45,264.41,365.55,282.03],"words":[15485,15486,15487,15488,15489,15490,15491]}],"html":null,"kind":"paragraph","latex":"\\lim_{t\\rightarrow\\infty}\\log|a(t,s)|\\ =\\ A(s).","level":null,"list_depth":nul... | CC-BY-4.0 | assets/0f4ec41b4739f2c637bcd2d43e3b58fbbe758e7aa149ef37f8a5695996b47c24.pdf | 0f4ec41b4739f2c637bcd2d43e3b58fbbe758e7aa149ef37f8a5695996b47c24 | arxiv:2608.24606 | formula | 33 | {"arxiv_id":"2608.24606","authors":"Alexei Poltoratski","title":"A maximal estimate for the non-linear Fourier transform","url":"https://arxiv.org/abs/2608.24606v1","version":1} | CC-BY-4.0 | arxiv-aligned/dev |
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