{"as_of":"2026-08-08T04:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:210492f429bb4c04a34434aca52051b7523a10c9d5ebd8bd95116f0e440f53ae","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:54:29.354919Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-20T00:37:54.079419Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"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":"2026-08-06T19:54:29.354919Z","title":"Regularity of the score function in generative models.arXiv preprint arXiv:2506.19559,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.04794","last_updated":"2025-07-07T09:13:09Z","snapshot_observed_at":"2026-08-06T19:36:59.699475Z","submitted_at":"2025-07-07T09:13:09Z","title":"Generalization bounds for score-based generative models: a synthetic proof","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T19:54:29.354919Z"},"links":{"cited_paper":"/paper/2506.19559","citing_paper":"/paper/2507.04794"},"observation_digest":"sha256:0bac3e315d19d8db84c46e04202bea5ef86f111c97512f5352a78166104bb3e4","observation_id":"1119d330-272e-46a3-9f7d-2419465325fc","resolution":{"observed_at":"2026-08-06T19:54:29.354919Z","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":"2506.19559","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.19559","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Regularity of the score function in generative models","venue":null,"work_id":"a19d8681-2f22-4fc9-91a3-662c40060b5f","year":2025},"citing_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},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-10T18:15:58.587798Z"},"links":{"cited_paper":"/paper/2506.19559","citing_paper":"/paper/2604.06065"},"observation_digest":"sha256:baabd005f94c791ac9def58513070b3478f736144b1149c9ebb0a20b219bc711","observation_id":"3401b0e1-30ee-482e-a873-7ff26fde6634","resolution":{"observed_at":"2026-05-11T05:10:55.366896Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"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":"2506.19559","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.19559","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Regularity of the score function in generative models","venue":null,"work_id":"a19d8681-2f22-4fc9-91a3-662c40060b5f","year":2025},"citing_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},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-08T05:22:13.972012Z"},"links":{"cited_paper":"/paper/2506.19559","citing_paper":"/paper/2605.06172"},"observation_digest":"sha256:685ccef0a38ac55de6c0bbe54e2564d31a88801a2ae353d328938091bdc7e301","observation_id":"5dba0dbc-6f08-4a46-8270-3211f08edafe","resolution":{"observed_at":"2026-05-11T21:31:14.139771Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"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":"2506.19559","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.19559","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Regularity of the score function in generative models","venue":null,"work_id":"a19d8681-2f22-4fc9-91a3-662c40060b5f","year":2025},"citing_paper":{"arxiv_id":"2605.18069","last_updated":"2026-05-18T08:52:09Z","snapshot_observed_at":"2026-07-06T23:28:59.503300Z","submitted_at":"2026-05-18T08:52:09Z","title":"Wasserstein bounds for denoising diffusion probabilistic models via the F\\\"ollmer process","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-05-20T00:36:51.915596Z"},"links":{"cited_paper":"/paper/2506.19559","citing_paper":"/paper/2605.18069"},"observation_digest":"sha256:4141b5fd28e09089682e50651d50b6c7ea00ff996498ea3d01375b0d11c55b86","observation_id":"299392bd-81f9-4269-ac54-aeb8d7ee8e4f","resolution":{"observed_at":"2026-05-20T00:37:54.082895Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"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"}}],"links":{"evidence":"/evidence","html":"/paper/2506.19559/citation-record","integrity":"/paper/2506.19559/integrity","json":"/paper/2506.19559/citation-record.json","paper":"/paper/2506.19559"},"outbound":[],"paper":{"arxiv_id":"2506.19559","last_updated":"2025-06-24T12:16:06Z","latest_version":1,"primary_category":"math.ST","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"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2506.19559."}