{"as_of":"2026-08-08T03:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8c8b2b02109ff9fcd0bd633018ff45ca2cf78ca25f8b134856ddab9f18da5f0b","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T04:02:43.709283Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T10:38:19.744744Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.25685","snapshot_observed_at":"2026-07-31T10:38:19.744744Z","title":"Cont,Mimicking diffusion processes with differential equations, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28344","last_updated":"2026-07-30T15:10:59Z","snapshot_observed_at":"2026-08-03T00:10:36.025061Z","submitted_at":"2026-07-30T15:10:59Z","title":"Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-31T10:38:19.744744Z"},"links":{"cited_paper":"/paper/2607.25685","citing_paper":"/paper/2607.28344"},"observation_digest":"sha256:6f303904470a555e90e6361ae13c49d44bafad621802fa2b042b2290653d9aa6","observation_id":"e1b7617d-85a9-4545-93ca-85b57d7f929f","resolution":{"observed_at":"2026-07-31T10:38:19.744744Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2607.25685/citation-record","integrity":"/paper/2607.25685/integrity","json":"/paper/2607.25685/citation-record.json","paper":"/paper/2607.25685"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.570991Z","title":"Ambrosio , Transport equation and Cauchy problem for BV vector fields , Inventiones Mathematicae, 158 (2004), pp","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.570991Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:5a11cd0ed47442d1a00f4ada4198015c6debe90df780e82318393be700209474","observation_id":"88dba526-97ca-47b5-bafc-bd8a65020fcc","resolution":{"observed_at":"2026-08-04T04:02:43.570991Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.575994Z","title":"Ambrosio , Transport equation and cauchy problem for non-smooth vector fields , in Calculus of Variations and Non-Linear Partial Differential Equations, vol","venue":null,"work_id":null,"year":1927},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.575994Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:294b6d442b7254898731e69cc073a2e105252b404857d8797fa24c53335b4128","observation_id":"71475d7d-f2c7-42df-8b92-55883b6ca5de","resolution":{"observed_at":"2026-08-04T04:02:43.575994Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.580175Z","title":"Ambrosio, N","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.580175Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:90c5cd508b4c67b616350fb032420980aabd6275a16c81caa971405081d830ba","observation_id":"a830de3e-f8ae-4e83-9384-6c4d3433cecd","resolution":{"observed_at":"2026-08-04T04:02:43.580175Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.584211Z","title":"Ambrosio and D","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.584211Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:7381f27461fa28e8e9332f8b1cb3e960bf6ed13c8880cde037703108e49b7205","observation_id":"3b7a58ae-5c98-42a4-8d65-bdf596b28262","resolution":{"observed_at":"2026-08-04T04:02:43.584211Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.588521Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.588521Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:e354a07f5da1099bcf833205b697516a79810e84a2c5b5bd2bb46e6c83e142e0","observation_id":"6460701d-165d-4d85-89a7-66637c19b1e4","resolution":{"observed_at":"2026-08-04T04:02:43.588521Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.592523Z","title":null,"venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.592523Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:87db69226ef9a8afc60ae693d539b007d7e538a2ebf66749fedcbfe3a0ad2773","observation_id":"d536697e-d29e-4bbb-80fa-d877182c74e8","resolution":{"observed_at":"2026-08-04T04:02:43.592523Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.596948Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.596948Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:2891245b8893246998bc7bee01c626b00d61d1a68c72722514e13e8163f08990","observation_id":"2b8c551b-8d74-4199-a466-5bb3afcefc01","resolution":{"observed_at":"2026-08-04T04:02:43.596948Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.600755Z","title":"Brigati and M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.600755Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:36fbbdd3096b5205a712171040d1ca4225746870566ca07ce258c541127366e9","observation_id":"1f3b60d1-4809-4b24-b28e-36de3d7b7e43","resolution":{"observed_at":"2026-08-04T04:02:43.600755Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.01629","last_updated":"2026-05-16T04:39:44Z","snapshot_observed_at":"2026-08-02T10:11:34.180683Z","submitted_at":"2025-09-01T17:16:34Z","title":"Lipschitz-Guided Design of Interpolation Schedules in Generative Models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.01629","snapshot_observed_at":"2026-08-04T04:02:43.604591Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.604591Z"},"links":{"cited_paper":"/paper/2509.01629","citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:45a569504d6b925f53cdb7de45ff5bbcf63a75fc918b1e4d203221c56e64dfc1","observation_id":"d98299ad-974e-4b94-8e3c-404302078cbb","resolution":{"observed_at":"2026-08-04T04:02:43.604591Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.608591Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.608591Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:663180bb76b500079565c39350604bcd99f2a34c144c7f3788f2f61a76c22bc1","observation_id":"886154a1-1213-4be4-b5ea-b65f35d4c0c6","resolution":{"observed_at":"2026-08-04T04:02:43.608591Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.612241Z","title":"Crippa and C","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.612241Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:08124ce96eb894f06c39bba88b70309d1d123f4dcb9428017d0f6b23b471e077","observation_id":"c02bae0a-227e-4ceb-be2d-09de3259b3b5","resolution":{"observed_at":"2026-08-04T04:02:43.612241Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.615988Z","title":"De Lellis , ODEs with Sobolev coeﬀicients: the Eulerian and the Lagrangian approach , Discrete Contin","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.615988Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:bb9db485583bc09660a960a996fdf135bdd8eb6091592a62362ba1b6a5a7c8b2","observation_id":"3fd4b300-cce6-494f-838e-73bfc41214d2","resolution":{"observed_at":"2026-08-04T04:02:43.615988Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.619859Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.619859Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:290c51f158084847b8f951bab0422dd2046d24d0ba646af9f821f41b18fb3802","observation_id":"706a89d5-17bc-4b20-a289-32497be86877","resolution":{"observed_at":"2026-08-04T04:02:43.619859Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.623557Z","title":"Figalli , Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coeﬀicients, Journal of Functional Analysis, 254 (2008), pp","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.623557Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:5cf87ae7127662c4496af25693ea2f606f2b8f5e8ef681a1097b4fba9dc3ef04","observation_id":"e2dd6ec0-4232-4c2a-b086-fa358a956980","resolution":{"observed_at":"2026-08-04T04:02:43.623557Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.626987Z","title":"Flandoli, M","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.626987Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:45038603de8b99c85c8ff3fde40b2bf27eb761ac0084ba81fad953fba65e5a73","observation_id":"c1850437-6fde-4484-9ad1-1466a64c1263","resolution":{"observed_at":"2026-08-04T04:02:43.626987Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.630491Z","title":"Gyöngy , Mimicking the one-dimensional marginal distributions of processes having an Itô differential , Probability theory and related fields, 71 (1986), pp","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.630491Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:43f9cda45a5547f59f6a11334c366d9450f5945bad9c7d740de564e1bd0418f6","observation_id":"0bd2ad84-40be-4f29-b9de-00f5b3ca5848","resolution":{"observed_at":"2026-08-04T04:02:43.630491Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.634133Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.634133Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:0c9be610cbd069e37e144738365acabab1910d12f038d1359ff00db6906d4c8e","observation_id":"fa25ea74-ea86-4d23-961d-46726a316928","resolution":{"observed_at":"2026-08-04T04:02:43.634133Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.637730Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.637730Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:dd6804b7237b0807cc78f079409c4a1ecb61c4a744def4ad1be9024cc0e12748","observation_id":"9e57b439-6ac7-45ad-90ba-e1fb929300be","resolution":{"observed_at":"2026-08-04T04:02:43.637730Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.641241Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.641241Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:8f0a8aa08d18b2a77f928cd4b1bdbaeca68c6c124cf63029efbaedc882ff2ac1","observation_id":"5d8b9bf0-2af6-4cb3-baa5-81328944a1f4","resolution":{"observed_at":"2026-08-04T04:02:43.641241Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.06172","last_updated":"2026-05-07T12:54:49Z","snapshot_observed_at":"2026-07-06T23:18:41.400741Z","submitted_at":"2026-05-07T12:54:49Z","title":"Expressivity of Bi-Lipschitz Normalizing Flows: A Score-Based Diffusion Perspective","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.06172","snapshot_observed_at":"2026-08-04T04:02:43.644693Z","title":"Iske and C.-B","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.644693Z"},"links":{"cited_paper":"/paper/2605.06172","citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:a63c630165e28c9175ce74b55cd534fc6a1627652ea3eee6c4275c5d211233ba","observation_id":"335030e4-fd9a-496b-a9a2-f2a0dadc70e3","resolution":{"observed_at":"2026-08-04T04:02:43.644693Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.648831Z","title":"Kim, C.-H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.648831Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:92b3d67125957718fd6eba441c441f3a3b3696cadf48853266393c2334d884b4","observation_id":"ff6f9c6f-e38a-48bc-97cd-81a99b2d6de1","resolution":{"observed_at":"2026-08-04T04:02:43.648831Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.652611Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.652611Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:45124793d20d1af5eca8bc914f1c0b791890b51a4c3790226d8b309938c52397","observation_id":"4209f0c5-1602-4b77-b8c6-f30f6ae3b2f8","resolution":{"observed_at":"2026-08-04T04:02:43.652611Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.656566Z","title":"Le Bris and P.-L","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.656566Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:e058cd59f02826224f8b9974ea0c99bf4240b048208dafaa9ca13b11de3c11be","observation_id":"b3a33438-5b86-4dfe-abc4-567146eeb47f","resolution":{"observed_at":"2026-08-04T04:02:43.656566Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.660285Z","title":"Le Bris and P.-L","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.660285Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:df2106dad030a9c841a63bb8a459a93b8c56c1ba6abbaf8da330115109c9c5c6","observation_id":"1572ed4a-a427-4d81-bbeb-b3a5f901748e","resolution":{"observed_at":"2026-08-04T04:02:43.660285Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.663999Z","title":"Lipman, R","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.663999Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:f85ac835a4ca4bf12ea87621b441c4f1157d0b093b69b6546e4d2fc0695ce4bd","observation_id":"31ca1414-379e-4f74-aa3c-085dbbe03b2b","resolution":{"observed_at":"2026-08-04T04:02:43.663999Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.667737Z","title":"Mooney, Z","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.667737Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:00199ecd974b637b3f7163f6d5400a73694b9ab59452add683b2062d9d523bff","observation_id":"5141563c-0adf-4fa9-a2f2-159feaaac916","resolution":{"observed_at":"2026-08-04T04:02:43.667737Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.671231Z","title":"Peyré , Optimal and diffusion transports in machine learning , in Proceedings of the International Congress of Mathematicians 2026, vol","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.671231Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:af3ba6cf91e89fbb0d4cf62db99edec8988715b5d0395b74f916541fa053c6e4","observation_id":"8a7be7c9-106f-48d1-9348-a522f65df863","resolution":{"observed_at":"2026-08-04T04:02:43.671231Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.674868Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.674868Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:ed7bd3574aa1f9c22a796299d425310a61b3a54b0ed1e8dcc4f352d3f12df5a7","observation_id":"3a20d4df-f075-4bde-a900-1461377c3f66","resolution":{"observed_at":"2026-08-04T04:02:43.674868Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.678991Z","title":"Sohl-Dickstein, E","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.678991Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:ac63e82b1a96a1531df8f2e508ff7fab38b8bcb1b46533346af3a26e0cdc7282","observation_id":"8aea995f-e226-4b4f-823d-9e0dc7ca8121","resolution":{"observed_at":"2026-08-04T04:02:43.678991Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.682590Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.682590Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:ee1fe050dbf5032fda67e500f3c291d66aebec35b476f91860686b34e74dbaea","observation_id":"a4fd2bd7-1f72-4dec-ba6b-329ac3dc0413","resolution":{"observed_at":"2026-08-04T04:02:43.682590Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.686171Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.686171Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:e2c0ad547429ef1fd2d024745a3462162a1e14ab4332c69aea4c00c4ced33464","observation_id":"a86c86cf-c52d-4cb8-8fa5-5fa4035947a2","resolution":{"observed_at":"2026-08-04T04:02:43.686171Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.19559","last_updated":"2025-06-24T12:16:06Z","snapshot_observed_at":"2026-08-06T23:04:23.284747Z","submitted_at":"2025-06-24T12:16:06Z","title":"Regularity of the score function in generative models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.19559","snapshot_observed_at":"2026-08-04T04:02:43.689752Z","title":"Stéphanovitch , Regularity of the score function in generative models , arXiv:2506.19559, (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.689752Z"},"links":{"cited_paper":"/paper/2506.19559","citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:0638fad7e0c95ca534afc6aca2ef1b0b9c07239b4e7f822a71da8f30a6eb2354","observation_id":"304a4b05-72d0-4c66-851f-46caf6aa0909","resolution":{"observed_at":"2026-08-04T04:02:43.689752Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.06065","last_updated":"2026-04-07T16:46:40Z","snapshot_observed_at":"2026-07-06T22:54:40.349479Z","submitted_at":"2026-04-07T16:46:40Z","title":"Lipschitz regularity in Flow Matching and Diffusion Models: sharp sampling rates and functional inequalities","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.06065","snapshot_observed_at":"2026-08-04T04:02:43.693500Z","title":"Stéphanovitch , Lipschitz regularity in flow matching and diffusion models: Sharp sampling rates and functional inequalities , arXiv:2604.06065, (2026)","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.693500Z"},"links":{"cited_paper":"/paper/2604.06065","citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:b5c8bbbead66dc1c31b884870f510ab95ee82e522abbc8423c46994278fd8bad","observation_id":"b9bf4721-6bf5-469c-8de6-aad4d153245e","resolution":{"observed_at":"2026-08-04T04:02:43.693500Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.697494Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.697494Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:8acfc28baaccaf513980e99606f0fe3f4f88a9fc90d412145bd23c927db1ee3f","observation_id":"746b6e94-09d8-4cf5-af01-8a6ba04e2093","resolution":{"observed_at":"2026-08-04T04:02:43.697494Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.701105Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.701105Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:71812ce501bea54376ac4db6ecbcd76dbf1b5b7a5dbe343d1cf4a1cacc9108f0","observation_id":"90c2cadf-3b91-4186-88d6-5bb7639859ef","resolution":{"observed_at":"2026-08-04T04:02:43.701105Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.704984Z","title":"By the upper bound in ( 50), mass conservation, and kpε 0kL∞ kp0kL∞, we have Entη(pε","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.704984Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:97c5bd8b87bdf9ca5cf36700dced49673464ba1c1af0b88a77fd297e519fb294","observation_id":"85d78d38-361e-4508-98da-b4bda23d2287","resolution":{"observed_at":"2026-08-04T04:02:43.704984Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:02:43.709283Z","title":"1 r as η # 0 for every r> 0, and pε s> 0 for s> 0, monotone convergence gives Z Rd β′′ η (pε s)jrpε sj2dx","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T04:02:43.709283Z"},"links":{"citing_paper":"/paper/2607.25685"},"observation_digest":"sha256:c9cc5ce27fcb7f1558fae77380086d026733b45f53b833f2494b4330a59efd12","observation_id":"e18502a3-c848-4bcc-b7f3-4b7acd0db610","resolution":{"observed_at":"2026-08-04T04:02:43.709283Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.25685","last_updated":"2026-08-03T10:05:14Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-07T06:38:47.975193Z","submitted_at":"2026-07-28T13:01:23Z","title":"Mimicking diffusion processes with differential equations"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":37,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":37},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2607.25685."}