{"as_of":"2026-08-15T20:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a22a4443ca4ab360a67e2dcb9132bf9acaf68a98929d2fd74877067e6580b44b","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":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":9,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T21:17:58.278820Z","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":"2026-07-02T15:47:05.853147Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2207.02862","last_updated":"2023-03-02T19:00:00Z","snapshot_observed_at":"2026-08-13T15:09:24.015542Z","submitted_at":"2022-07-06T18:00:00Z","title":"Verifying the Union of Manifolds Hypothesis for Image Data","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.02862","snapshot_observed_at":"2026-08-10T21:17:58.278820Z","title":"Verifying the union of manifolds hypothesis for image data","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.05450","last_updated":"2025-01-10T18:58:11Z","snapshot_observed_at":"2026-08-13T02:56:56.761377Z","submitted_at":"2025-01-09T18:59:56Z","title":"Decentralized Diffusion Models","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T21:17:58.278820Z"},"links":{"cited_paper":"/paper/2207.02862","citing_paper":"/paper/2501.05450"},"observation_digest":"sha256:8fddfc51a72ed0292fc19024bbca4d53ba45881a41910c9c211820997d4fa23a","observation_id":"1e8a7682-fc34-4831-8462-9a7683ef6e46","resolution":{"observed_at":"2026-08-10T21:17:58.278820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.02862","last_updated":"2023-03-02T19:00:00Z","snapshot_observed_at":"2026-08-13T15:09:24.015542Z","submitted_at":"2022-07-06T18:00:00Z","title":"Verifying the Union of Manifolds Hypothesis for Image Data","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.02862","snapshot_observed_at":"2026-08-10T15:01:43.655762Z","title":"Verifying the union of manifolds hypothesis for image data","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.14641","last_updated":"2025-03-04T00:07:16Z","snapshot_observed_at":"2026-08-14T23:14:37.947430Z","submitted_at":"2025-01-24T17:02:04Z","title":"Towards Scalable Topological Regularizers","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-10T15:01:43.655762Z"},"links":{"cited_paper":"/paper/2207.02862","citing_paper":"/paper/2501.14641"},"observation_digest":"sha256:014a51176c23938dd2497898f5fd56c886c635b00707ddbdf9c10845865d6e22","observation_id":"aa347060-55d4-48bc-b8e4-34ea469f5005","resolution":{"observed_at":"2026-08-10T15:01:43.655762Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.02862","last_updated":"2023-03-02T19:00:00Z","snapshot_observed_at":"2026-08-13T15:09:24.015542Z","submitted_at":"2022-07-06T18:00:00Z","title":"Verifying the Union of Manifolds Hypothesis for Image Data","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.02862","snapshot_observed_at":"2026-08-07T13:16:00.024867Z","title":"C., Caterini, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.22364","last_updated":"2025-05-28T13:46:07Z","snapshot_observed_at":"2026-08-14T16:33:46.865712Z","submitted_at":"2025-05-28T13:46:07Z","title":"Computing Optimal Transport Maps and Wasserstein Barycenters Using Conditional Normalizing Flows","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-07T13:16:00.024867Z"},"links":{"cited_paper":"/paper/2207.02862","citing_paper":"/paper/2505.22364"},"observation_digest":"sha256:2fc727ff8c9fd8e1a1ba47044b3a166738118e4058415833971ea7b0c0e47708","observation_id":"89c07402-469f-43b1-8ef3-c1ccd7f9005a","resolution":{"observed_at":"2026-08-07T13:16:00.024867Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.02862","last_updated":"2023-03-02T19:00:00Z","snapshot_observed_at":"2026-08-13T15:09:24.015542Z","submitted_at":"2022-07-06T18:00:00Z","title":"Verifying the Union of Manifolds Hypothesis for Image Data","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.02862","snapshot_observed_at":"2026-08-07T12:52:51.843039Z","title":"Verifying the union of manifolds hypothesis for image data","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.23343","last_updated":"2025-05-29T11:08:24Z","snapshot_observed_at":"2026-08-13T16:48:08.024746Z","submitted_at":"2025-05-29T11:08:24Z","title":"Diffusion Sampling Path Tells More: An Efficient Plug-and-Play Strategy for Sample Filtering","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:51.843039Z"},"links":{"cited_paper":"/paper/2207.02862","citing_paper":"/paper/2505.23343"},"observation_digest":"sha256:72362f1b6f4f4a6333fe07556e421463dff3fcc5224cd4fb452a334899eec934","observation_id":"2fb1e799-c049-424d-a906-1c1e4d60fe26","resolution":{"observed_at":"2026-08-07T12:52:51.843039Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.02862","last_updated":"2023-03-02T19:00:00Z","snapshot_observed_at":"2026-08-13T15:09:24.015542Z","submitted_at":"2022-07-06T18:00:00Z","title":"Verifying the Union of Manifolds Hypothesis for Image Data","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.02862","snapshot_observed_at":"2026-08-07T10:42:57.372051Z","title":"C., Caterini, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.04859","last_updated":"2025-06-06T02:24:02Z","snapshot_observed_at":"2026-08-09T11:13:08.948139Z","submitted_at":"2025-06-05T10:26:06Z","title":"Sparse Autoencoders, Again?","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T10:42:57.372051Z"},"links":{"cited_paper":"/paper/2207.02862","citing_paper":"/paper/2506.04859"},"observation_digest":"sha256:78b93eafe0d28f1d4a71e6bbeb5ec0e3dc70bb5990c2686ca64b302dfdc52e78","observation_id":"ee2bf206-173e-4399-a4d9-59ab4672f09e","resolution":{"observed_at":"2026-08-07T10:42:57.372051Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.02862","last_updated":"2023-03-02T19:00:00Z","snapshot_observed_at":"2026-08-13T15:09:24.015542Z","submitted_at":"2022-07-06T18:00:00Z","title":"Verifying the Union of Manifolds Hypothesis for Image Data","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.02862","snapshot_observed_at":"2026-08-07T04:31:47.190761Z","title":"C., Caterini, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.10632","last_updated":"2025-06-12T12:17:40Z","snapshot_observed_at":"2026-08-09T11:13:08.460398Z","submitted_at":"2025-06-12T12:17:40Z","title":"Hessian Geometry of Latent Space in Generative Models","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T04:31:47.190761Z"},"links":{"cited_paper":"/paper/2207.02862","citing_paper":"/paper/2506.10632"},"observation_digest":"sha256:bd13ed6c669efeba31df28cc147a21e2c83ea260d34d2613447a223a8cbdda73","observation_id":"cef5ff94-e4e3-4d80-bae7-e8a23d4587bb","resolution":{"observed_at":"2026-08-07T04:31:47.190761Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.02862","last_updated":"2023-03-02T19:00:00Z","snapshot_observed_at":"2026-08-13T15:09:24.015542Z","submitted_at":"2022-07-06T18:00:00Z","title":"Verifying the Union of Manifolds Hypothesis for Image Data","version":3},"cited_work":{"arxiv_id":"2207.02862","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2207.02862","snapshot_observed_at":"2026-07-02T15:47:05.853147Z","title":"Verifying the union of manifolds hypothesis for image data","venue":null,"work_id":"06d6f4eb-57bf-4c12-99af-956d172a3971","year":2023},"citing_paper":{"arxiv_id":"2604.04923","last_updated":"2026-04-06T17:58:58Z","snapshot_observed_at":"2026-08-13T10:35:15.979544Z","submitted_at":"2026-04-06T17:58:58Z","title":"Stratifying Reinforcement Learning with Signal Temporal Logic","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-10T19:27:56.364253Z"},"links":{"cited_paper":"/paper/2207.02862","citing_paper":"/paper/2604.04923"},"observation_digest":"sha256:103f127885e1223a70acc816a9770b53b3896054dd3cacd9d11a787ddca922d8","observation_id":"e270ee51-1a15-461f-b664-15836e1e45c8","resolution":{"observed_at":"2026-05-10T22:55:51.218983Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.02862","last_updated":"2023-03-02T19:00:00Z","snapshot_observed_at":"2026-08-13T15:09:24.015542Z","submitted_at":"2022-07-06T18:00:00Z","title":"Verifying the Union of Manifolds Hypothesis for Image Data","version":3},"cited_work":{"arxiv_id":"2207.02862","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2207.02862","snapshot_observed_at":"2026-07-02T15:47:05.853147Z","title":"Verifying the union of manifolds hypothesis for image data","venue":null,"work_id":"06d6f4eb-57bf-4c12-99af-956d172a3971","year":2023},"citing_paper":{"arxiv_id":"2606.00377","last_updated":"2026-05-29T21:35:54Z","snapshot_observed_at":"2026-08-06T12:48:04.041879Z","submitted_at":"2026-05-29T21:35:54Z","title":"Score-Control for Hallucination Reduction in Diffusion Models","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-28T22:43:58.497298Z"},"links":{"cited_paper":"/paper/2207.02862","citing_paper":"/paper/2606.00377"},"observation_digest":"sha256:8d2b1942b0b25ae12d41ec0d58904b28bd036a087a58404bd2b0b61e4c9ff96f","observation_id":"6fe9b8a8-0638-4468-a066-b0e96d59c583","resolution":{"observed_at":"2026-07-01T19:25:59.951377Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.02862","last_updated":"2023-03-02T19:00:00Z","snapshot_observed_at":"2026-08-13T15:09:24.015542Z","submitted_at":"2022-07-06T18:00:00Z","title":"Verifying the Union of Manifolds Hypothesis for Image Data","version":3},"cited_work":{"arxiv_id":"2207.02862","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2207.02862","snapshot_observed_at":"2026-07-02T15:47:05.853147Z","title":"Verifying the union of manifolds hypothesis for image data","venue":null,"work_id":"06d6f4eb-57bf-4c12-99af-956d172a3971","year":2023},"citing_paper":{"arxiv_id":"2607.00947","last_updated":"2026-07-01T13:46:22Z","snapshot_observed_at":"2026-08-02T16:12:01.555834Z","submitted_at":"2026-07-01T13:46:22Z","title":"Diffeomorphic Optimization","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-07-02T15:38:21.981595Z"},"links":{"cited_paper":"/paper/2207.02862","citing_paper":"/paper/2607.00947"},"observation_digest":"sha256:17c1b942de80cdbb360e39020041ac61a3421f6944eeb4fd9a54f8e47fbd03f1","observation_id":"d7f461b0-9091-45a9-bb6e-d894344139d8","resolution":{"observed_at":"2026-07-02T15:47:05.857556Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2207.02862/citation-record","integrity":"/paper/2207.02862/integrity","json":"/paper/2207.02862/citation-record.json","paper":"/paper/2207.02862"},"outbound":[],"paper":{"arxiv_id":"2207.02862","last_updated":"2023-03-02T19:00:00Z","latest_version":3,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-13T15:09:24.015542Z","submitted_at":"2022-07-06T18:00:00Z","title":"Verifying the Union of Manifolds Hypothesis for Image Data"},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2207.02862."}