{"as_of":"2026-08-08T23:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d69b4e0339cf9ea423b52d0b768503c83409b6c331544cfe3842d3958e22a3e8","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":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":10,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T21:18:48.830257Z","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":"2026-07-04T12:49:52.506498Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.12982","last_updated":"2026-07-12T19:29:47Z","snapshot_observed_at":"2026-08-04T14:32:51.075515Z","submitted_at":"2025-01-22T16:12:33Z","title":"Low-dimensional adaptation of diffusion models: Convergence in total variation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.12982","snapshot_observed_at":"2026-08-08T21:18:48.830257Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2502.04849","last_updated":"2025-02-07T11:37:51Z","snapshot_observed_at":"2026-08-08T21:10:33.992582Z","submitted_at":"2025-02-07T11:37:51Z","title":"Advancing Wasserstein Convergence Analysis of Score-Based Models: Insights from Discretization and Second-Order Acceleration","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-08T21:18:48.830257Z"},"links":{"cited_paper":"/paper/2501.12982","citing_paper":"/paper/2502.04849"},"observation_digest":"sha256:29e333e3498f8946a9c6ed47882c75a620daae764521544cb722f80fa59f11b2","observation_id":"afa1a7b0-a02a-4907-9dc1-908c4e61313d","resolution":{"observed_at":"2026-08-08T21:18:48.830257Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.12982","last_updated":"2026-07-12T19:29:47Z","snapshot_observed_at":"2026-08-04T14:32:51.075515Z","submitted_at":"2025-01-22T16:12:33Z","title":"Low-dimensional adaptation of diffusion models: Convergence in total variation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.12982","snapshot_observed_at":"2026-08-07T00:49:46.760598Z","title":"Liang, Z","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.13061","last_updated":"2025-08-14T01:01:23Z","snapshot_observed_at":"2026-08-08T23:15:07.376140Z","submitted_at":"2025-06-16T03:09:25Z","title":"Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T00:49:46.760598Z"},"links":{"cited_paper":"/paper/2501.12982","citing_paper":"/paper/2506.13061"},"observation_digest":"sha256:4a51c0ee22c10a3234290f1584e649e2a1142266312d1c6c1cfd3aae6857e077","observation_id":"0c7d51b0-e8cd-46d6-be9a-f584225737d4","resolution":{"observed_at":"2026-08-07T00:49:46.760598Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.12982","last_updated":"2026-07-12T19:29:47Z","snapshot_observed_at":"2026-08-04T14:32:51.075515Z","submitted_at":"2025-01-22T16:12:33Z","title":"Low-dimensional adaptation of diffusion models: Convergence in total variation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.12982","snapshot_observed_at":"2026-08-06T21:45:15.256352Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.24042","last_updated":"2025-08-13T15:05:42Z","snapshot_observed_at":"2026-08-08T09:40:09.921901Z","submitted_at":"2025-06-30T16:49:03Z","title":"Faster Diffusion Models via Higher-Order Approximation","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-06T21:45:15.256352Z"},"links":{"cited_paper":"/paper/2501.12982","citing_paper":"/paper/2506.24042"},"observation_digest":"sha256:59aa5eb043256041cc77a7bd657cae0c0a176d5b21e46ae57420e42f1c600ce6","observation_id":"e1bbf3bd-d537-4777-baf8-82edbbeae0d0","resolution":{"observed_at":"2026-08-06T21:45:15.256352Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.12982","last_updated":"2026-07-12T19:29:47Z","snapshot_observed_at":"2026-08-04T14:32:51.075515Z","submitted_at":"2025-01-22T16:12:33Z","title":"Low-dimensional adaptation of diffusion models: Convergence in total variation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.12982","snapshot_observed_at":"2026-08-05T20:56:33.483351Z","title":"Low-dimensional adaptation of diffusion models: Convergence in total variation","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.10944","last_updated":"2025-08-13T13:35:56Z","snapshot_observed_at":"2026-08-08T06:56:16.360636Z","submitted_at":"2025-08-13T13:35:56Z","title":"Non-asymptotic convergence bound of conditional diffusion models","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-05T20:56:33.483351Z"},"links":{"cited_paper":"/paper/2501.12982","citing_paper":"/paper/2508.10944"},"observation_digest":"sha256:69c09b282f4a77b5a72d27ef014e66856a60e5f4928dea67f6dc2a5944a3a216","observation_id":"c4dc6d2d-6526-48d2-85c5-7b5f79769665","resolution":{"observed_at":"2026-08-05T20:56:33.483351Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.12982","last_updated":"2026-07-12T19:29:47Z","snapshot_observed_at":"2026-08-04T14:32:51.075515Z","submitted_at":"2025-01-22T16:12:33Z","title":"Low-dimensional adaptation of diffusion models: Convergence in total variation","version":3},"cited_work":{"arxiv_id":"2501.12982","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.12982","snapshot_observed_at":"2026-07-14T01:20:42.443636Z","title":"arXiv preprint arXiv:2501.12982 , year=","venue":null,"work_id":"6606b18e-6ca6-40f9-a181-99f9fa006146","year":2025},"citing_paper":{"arxiv_id":"2604.10074","last_updated":"2026-04-11T07:46:15Z","snapshot_observed_at":"2026-07-06T22:58:47.599383Z","submitted_at":"2026-04-11T07:46:15Z","title":"Transformers Learn the Optimal DDPM Denoiser for Multi-Token GMMs","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-05-10T16:23:50.751356Z"},"links":{"cited_paper":"/paper/2501.12982","citing_paper":"/paper/2604.10074"},"observation_digest":"sha256:e806ec1129869316932c1ee6eec98d2b0307e49f854896f4fe06be04b34ef162","observation_id":"7fcf319a-3add-4fa8-8c24-3b9c03677f08","resolution":{"observed_at":"2026-07-14T01:20:42.443636Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.12982","last_updated":"2026-07-12T19:29:47Z","snapshot_observed_at":"2026-08-04T14:32:51.075515Z","submitted_at":"2025-01-22T16:12:33Z","title":"Low-dimensional adaptation of diffusion models: Convergence in total variation","version":3},"cited_work":{"arxiv_id":"2501.12982","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.12982","snapshot_observed_at":"2026-07-14T01:20:42.443636Z","title":"arXiv preprint arXiv:2501.12982 , year=","venue":null,"work_id":"6606b18e-6ca6-40f9-a181-99f9fa006146","year":2025},"citing_paper":{"arxiv_id":"2605.07220","last_updated":"2026-05-22T01:01:28Z","snapshot_observed_at":"2026-08-03T23:09:26.798712Z","submitted_at":"2026-05-08T04:12:02Z","title":"On the Robustness of Distribution Support under Diffusion Guidance","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-05-11T02:27:44.244764Z"},"links":{"cited_paper":"/paper/2501.12982","citing_paper":"/paper/2605.07220"},"observation_digest":"sha256:d4b086ccab5cd12b8e6a8017e7dcd8413ca2eb1fbdd91fbd3f53eb1c5eb01a89","observation_id":"babeb630-9ab6-4c34-a254-7ad5baad694d","resolution":{"observed_at":"2026-07-14T01:20:42.443636Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.12982","last_updated":"2026-07-12T19:29:47Z","snapshot_observed_at":"2026-08-04T14:32:51.075515Z","submitted_at":"2025-01-22T16:12:33Z","title":"Low-dimensional adaptation of diffusion models: Convergence in total variation","version":3},"cited_work":{"arxiv_id":"2501.12982","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.12982","snapshot_observed_at":"2026-07-14T01:20:42.443636Z","title":"arXiv preprint arXiv:2501.12982 , year=","venue":null,"work_id":"6606b18e-6ca6-40f9-a181-99f9fa006146","year":2025},"citing_paper":{"arxiv_id":"2605.07220","last_updated":"2026-05-22T01:01:28Z","snapshot_observed_at":"2026-08-03T23:09:26.798712Z","submitted_at":"2026-05-08T04:12:02Z","title":"On the Robustness of Distribution Support under Diffusion Guidance","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-05-25T06:34:46.801241Z"},"links":{"cited_paper":"/paper/2501.12982","citing_paper":"/paper/2605.07220"},"observation_digest":"sha256:faf0ae933ec597892ddc2ad4ceb49a317556a36e8157085664e454bd3215d961","observation_id":"8a91d82b-fbe6-4216-a0f7-13b6bf95a55c","resolution":{"observed_at":"2026-07-14T01:20:42.443636Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.12982","last_updated":"2026-07-12T19:29:47Z","snapshot_observed_at":"2026-08-04T14:32:51.075515Z","submitted_at":"2025-01-22T16:12:33Z","title":"Low-dimensional adaptation of diffusion models: Convergence in total variation","version":3},"cited_work":{"arxiv_id":"2501.12982","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.12982","snapshot_observed_at":"2026-07-14T01:20:42.443636Z","title":"arXiv preprint arXiv:2501.12982 , year=","venue":null,"work_id":"6606b18e-6ca6-40f9-a181-99f9fa006146","year":2025},"citing_paper":{"arxiv_id":"2605.07969","last_updated":"2026-05-08T16:30:37Z","snapshot_observed_at":"2026-08-03T22:10:35.458368Z","submitted_at":"2026-05-08T16:30:37Z","title":"When Diffusion Model Can Ignore Dimension: An Entropy-Based Theory","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-11T02:26:35.458400Z"},"links":{"cited_paper":"/paper/2501.12982","citing_paper":"/paper/2605.07969"},"observation_digest":"sha256:fce882dbf2da59e94d0e41a745d8fad45c5debc189e44f84930f0b3a9b8b83f4","observation_id":"7867dbcb-a0e2-41d7-8210-8eac2bf48307","resolution":{"observed_at":"2026-07-14T01:20:42.443636Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.12982","last_updated":"2026-07-12T19:29:47Z","snapshot_observed_at":"2026-08-04T14:32:51.075515Z","submitted_at":"2025-01-22T16:12:33Z","title":"Low-dimensional adaptation of diffusion models: Convergence in total variation","version":3},"cited_work":{"arxiv_id":"2501.12982","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.12982","snapshot_observed_at":"2026-07-14T01:20:42.443636Z","title":"arXiv preprint arXiv:2501.12982 , year=","venue":null,"work_id":"6606b18e-6ca6-40f9-a181-99f9fa006146","year":2025},"citing_paper":{"arxiv_id":"2605.13448","last_updated":"2026-05-13T12:42:58Z","snapshot_observed_at":"2026-08-08T01:57:45.515762Z","submitted_at":"2026-05-13T12:42:58Z","title":"On the Limits of Latent Reuse in Diffusion Models","version":1},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-05-14T18:38:49.566101Z"},"links":{"cited_paper":"/paper/2501.12982","citing_paper":"/paper/2605.13448"},"observation_digest":"sha256:4c795314dd4b05710e58f76e0e6cb72f7f12f979e93d74fc348347cb5315f77a","observation_id":"9736f6fe-b831-4699-9489-a24414a4fdb2","resolution":{"observed_at":"2026-07-14T01:20:42.443636Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.12982","last_updated":"2026-07-12T19:29:47Z","snapshot_observed_at":"2026-08-04T14:32:51.075515Z","submitted_at":"2025-01-22T16:12:33Z","title":"Low-dimensional adaptation of diffusion models: Convergence in total variation","version":3},"cited_work":{"arxiv_id":"2501.12982","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.12982","snapshot_observed_at":"2026-07-14T01:20:42.443636Z","title":"arXiv preprint arXiv:2501.12982 , year=","venue":null,"work_id":"6606b18e-6ca6-40f9-a181-99f9fa006146","year":2025},"citing_paper":{"arxiv_id":"2606.23627","last_updated":"2026-06-22T17:20:56Z","snapshot_observed_at":"2026-08-07T05:20:53.273007Z","submitted_at":"2026-06-22T17:20:56Z","title":"Diffusion Models Adapt to Low-Dimensional Structure Under Flexible Coefficient Choices","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-06-26T05:56:29.406425Z"},"links":{"cited_paper":"/paper/2501.12982","citing_paper":"/paper/2606.23627"},"observation_digest":"sha256:9595ced5e93c6b9bd16237dd61fcd6f1ef7955e5d82b76adcd7d2ccb147572e3","observation_id":"1a1b8c09-6c27-4683-bad0-b0661c58f8b0","resolution":{"observed_at":"2026-07-14T01:20:42.443636Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.12982/citation-record","integrity":"/paper/2501.12982/integrity","json":"/paper/2501.12982/citation-record.json","paper":"/paper/2501.12982"},"outbound":[],"paper":{"arxiv_id":"2501.12982","last_updated":"2026-07-12T19:29:47Z","latest_version":3,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-04T14:32:51.075515Z","submitted_at":"2025-01-22T16:12:33Z","title":"Low-dimensional adaptation of diffusion models: Convergence in total variation"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2501.12982."}