{"as_of":"2026-08-16T09:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0d4fec435fc31d7f119f7daf1b11c4a66cfff81957276b126fae1563a0250a3a","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":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T04:38:28.190980Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-05T17:45:11.818303Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2402.07802","last_updated":"2024-02-12T17:07:02Z","snapshot_observed_at":"2026-08-13T04:20:27.395981Z","submitted_at":"2024-02-12T17:07:02Z","title":"Towards a mathematical theory for consistency training in diffusion models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.07802","snapshot_observed_at":"2026-08-10T16:42:26.445268Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.12982","last_updated":"2026-07-12T19:29:47Z","snapshot_observed_at":"2026-08-15T22:44:49.110271Z","submitted_at":"2025-01-22T16:12:33Z","title":"Low-dimensional adaptation of diffusion models: Convergence in total variation","version":3},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-10T16:42:26.445268Z"},"links":{"cited_paper":"/paper/2402.07802","citing_paper":"/paper/2501.12982"},"observation_digest":"sha256:3c5bc40cde2f066aab7346e9ddda420b62c9feba2cd6d247d94915802831215f","observation_id":"2163a928-facf-4958-8128-1647ee4e9548","resolution":{"observed_at":"2026-08-10T16:42:26.445268Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.07802","last_updated":"2024-02-12T17:07:02Z","snapshot_observed_at":"2026-08-13T04:20:27.395981Z","submitted_at":"2024-02-12T17:07:02Z","title":"Towards a mathematical theory for consistency training in diffusion models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.07802","snapshot_observed_at":"2026-08-16T04:38:28.190980Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.01049","last_updated":"2025-05-25T04:06:45Z","snapshot_observed_at":"2026-08-16T04:25:50.367846Z","submitted_at":"2025-05-02T06:50:46Z","title":"Multi-Step Consistency Models: Fast Generation with Theoretical Guarantees","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-16T04:38:28.190980Z"},"links":{"cited_paper":"/paper/2402.07802","citing_paper":"/paper/2505.01049"},"observation_digest":"sha256:b7b71640ec1aa3f621e5579be2ef085fd639fb6a70bb4a7c3999a4263a5d4b62","observation_id":"120b6e0a-487a-4d03-833a-af331cae772b","resolution":{"observed_at":"2026-08-16T04:38:28.190980Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.07802","last_updated":"2024-02-12T17:07:02Z","snapshot_observed_at":"2026-08-13T04:20:27.395981Z","submitted_at":"2024-02-12T17:07:02Z","title":"Towards a mathematical theory for consistency training in diffusion models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.07802","snapshot_observed_at":"2026-08-07T05:59:17.432300Z","title":"Towards a mathematical theory for consistency training in diffusion models","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.06778","last_updated":"2025-06-07T12:36:56Z","snapshot_observed_at":"2026-08-14T17:11:02.952161Z","submitted_at":"2025-06-07T12:36:56Z","title":"Continuous Semi-Implicit Models","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-07T05:59:17.432300Z"},"links":{"cited_paper":"/paper/2402.07802","citing_paper":"/paper/2506.06778"},"observation_digest":"sha256:1517561d6e834f31c81cc903891932c952869feb2122e59b6f81e65c1a50fa94","observation_id":"36dfaa62-b1a0-48ea-b4b5-0d59243d0fb1","resolution":{"observed_at":"2026-08-07T05:59:17.432300Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.07802","last_updated":"2024-02-12T17:07:02Z","snapshot_observed_at":"2026-08-13T04:20:27.395981Z","submitted_at":"2024-02-12T17:07:02Z","title":"Towards a mathematical theory for consistency training in diffusion models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.07802","snapshot_observed_at":"2026-08-06T21:45:14.467981Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.24042","last_updated":"2025-08-13T15:05:42Z","snapshot_observed_at":"2026-08-16T04:12:10.538995Z","submitted_at":"2025-06-30T16:49:03Z","title":"Faster Diffusion Models via Higher-Order Approximation","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-06T21:45:14.467981Z"},"links":{"cited_paper":"/paper/2402.07802","citing_paper":"/paper/2506.24042"},"observation_digest":"sha256:0941a636488a1b8f309404904e9ba7871656af762a8bd9a4509e5141f0f40165","observation_id":"27ead32b-94b1-431f-a37c-7792fe17d838","resolution":{"observed_at":"2026-08-06T21:45:14.467981Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.07802","last_updated":"2024-02-12T17:07:02Z","snapshot_observed_at":"2026-08-13T04:20:27.395981Z","submitted_at":"2024-02-12T17:07:02Z","title":"Towards a mathematical theory for consistency training in diffusion models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.07802","snapshot_observed_at":"2026-08-05T20:56:33.439610Z","title":"Towards a mathematical theory for consistency training in diffusion models","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.10944","last_updated":"2025-08-13T13:35:56Z","snapshot_observed_at":"2026-08-10T22:38:22.491836Z","submitted_at":"2025-08-13T13:35:56Z","title":"Non-asymptotic convergence bound of conditional diffusion models","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-05T20:56:33.439610Z"},"links":{"cited_paper":"/paper/2402.07802","citing_paper":"/paper/2508.10944"},"observation_digest":"sha256:dbd9a5ccd0da86e1e2b361356feda99156ae8eb699ba887dd0fb9623bdf1f764","observation_id":"6c9f8cd4-0a6c-4cd1-abfd-a62780d468aa","resolution":{"observed_at":"2026-08-05T20:56:33.439610Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.07802","last_updated":"2024-02-12T17:07:02Z","snapshot_observed_at":"2026-08-13T04:20:27.395981Z","submitted_at":"2024-02-12T17:07:02Z","title":"Towards a mathematical theory for consistency training in diffusion models","version":1},"cited_work":{"arxiv_id":"2402.07802","doi":null,"metadata_source":"pith","pith_arxiv_id":"2402.07802","snapshot_observed_at":"2026-08-05T17:45:11.818303Z","title":"Towards a mathematical theory for consistency training in diffusion models","venue":"stat.ML","work_id":"c3c5281d-3d45-4a79-bd71-8900b6967bfa","year":2024},"citing_paper":{"arxiv_id":"2508.16306","last_updated":"2025-08-22T11:29:06Z","snapshot_observed_at":"2026-08-14T21:23:41.909508Z","submitted_at":"2025-08-22T11:29:06Z","title":"A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T17:45:10.006064Z"},"links":{"cited_paper":"/paper/2402.07802","citing_paper":"/paper/2508.16306"},"observation_digest":"sha256:f45eb2a97ed7e58cb8addc0e052ba591096fd8f4969569889b11c45551a4734d","observation_id":"9e070b31-4840-4a8d-9a83-16d64cce3a00","resolution":{"observed_at":"2026-08-05T17:45:11.858485Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2402.07802/citation-record","integrity":"/paper/2402.07802/integrity","json":"/paper/2402.07802/citation-record.json","paper":"/paper/2402.07802"},"outbound":[],"paper":{"arxiv_id":"2402.07802","last_updated":"2024-02-12T17:07:02Z","latest_version":1,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-13T04:20:27.395981Z","submitted_at":"2024-02-12T17:07:02Z","title":"Towards a mathematical theory for consistency training in diffusion 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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2402.07802."}