{"as_of":"2026-08-07T00:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3a54a0cfd9ec456cc0d0432dabc846571ea842032dd9fdcc351ebb5e89cac928","coverage":[{"denominator":3,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-16T22:23:20.029019Z","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":"2026-08-06T06:34:29.942622+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T18:58:53.775758Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2512.11676","last_updated":"2026-04-06T14:08:18Z","snapshot_observed_at":"2026-07-06T22:38:54.914862Z","submitted_at":"2025-12-12T15:54:32Z","title":"Stochastics of shapes and Kunita flows","version":2},"cited_work":{"arxiv_id":"2512.11676","doi":"10.48550/arxiv.2512.11676","metadata_source":"pith","pith_arxiv_id":"2512.11676","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Stochastics of shapes and Kunita flows","venue":"math.PR","work_id":"05000958-777a-4e32-9fef-541a4b9cb7e9","year":2025},"citing_paper":{"arxiv_id":"2601.23030","last_updated":"2026-05-08T12:17:14Z","snapshot_observed_at":"2026-08-05T04:02:00.810545Z","submitted_at":"2026-01-30T14:39:50Z","title":"Neural Backward Filtering Forward Guiding","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-21T14:51:48.828798Z"},"links":{"cited_paper":"/paper/2512.11676","citing_paper":"/paper/2601.23030"},"observation_digest":"sha256:1f5322e7356cbebc5a3f4de56b3c760d5816443f94ddef013501b68f3df9dc86","observation_id":"484da3c3-2749-4073-973a-488e0970c432","resolution":{"observed_at":"2026-05-21T14:54:13.263334Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2512.11676","last_updated":"2026-04-06T14:08:18Z","snapshot_observed_at":"2026-07-06T22:38:54.914862Z","submitted_at":"2025-12-12T15:54:32Z","title":"Stochastics of shapes and Kunita flows","version":2},"cited_work":{"arxiv_id":"2512.11676","doi":"10.48550/arxiv.2512.11676","metadata_source":"pith","pith_arxiv_id":"2512.11676","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Stochastics of shapes and Kunita flows","venue":"math.PR","work_id":"05000958-777a-4e32-9fef-541a4b9cb7e9","year":2025},"citing_paper":{"arxiv_id":"2606.26974","last_updated":"2026-06-25T12:47:32Z","snapshot_observed_at":"2026-07-07T00:01:15.803410Z","submitted_at":"2026-06-25T12:47:32Z","title":"Hyperiax and Phylogenetic Inference from Shape Data","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-06-26T01:50:22.218826Z"},"links":{"cited_paper":"/paper/2512.11676","citing_paper":"/paper/2606.26974"},"observation_digest":"sha256:9c566eed1d22b3104a207d8219754133bfe66e4876fe66f4f23e5d6f7df75dc8","observation_id":"dd341445-6a09-4aad-bde8-2fd0e045af59","resolution":{"observed_at":"2026-06-26T02:18:55.470617Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2512.11676","last_updated":"2026-04-06T14:08:18Z","snapshot_observed_at":"2026-07-06T22:38:54.914862Z","submitted_at":"2025-12-12T15:54:32Z","title":"Stochastics of shapes and Kunita flows","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2512.11676","snapshot_observed_at":"2026-07-31T18:58:53.775758Z","title":"Stochastics of shapes and Kunita flows","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28064","last_updated":"2026-07-30T11:41:19Z","snapshot_observed_at":"2026-08-06T13:04:58.588170Z","submitted_at":"2026-07-30T11:41:19Z","title":"Landmark shape spaces with induced metrics","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-07-31T18:58:53.775758Z"},"links":{"cited_paper":"/paper/2512.11676","citing_paper":"/paper/2607.28064"},"observation_digest":"sha256:755fbbe59e1a2eedb7af90d77c4de444c699c086891910d49bcc890f7a1413ea","observation_id":"a4ea1dff-694e-4620-b228-f38a36b7df3a","resolution":{"observed_at":"2026-07-31T18:58:53.775758Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2512.11676/citation-record","integrity":"/paper/2512.11676/integrity","json":"/paper/2512.11676/citation-record.json","paper":"/paper/2512.11676"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/21m1406283","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"R., & Hedberg, L","venue":"SIAM Journal on Imaging Sciences","work_id":"f076e428-ef63-4987-bfe6-e4ec0d0351d0","year":1999},"citing_paper":{"arxiv_id":"2512.11676","last_updated":"2026-04-06T14:08:18Z","snapshot_observed_at":"2026-07-06T22:38:54.914862Z","submitted_at":"2025-12-12T15:54:32Z","title":"Stochastics of shapes and Kunita flows","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-16T22:23:20.029019Z"},"links":{"citing_paper":"/paper/2512.11676"},"observation_digest":"sha256:f094b3d5ba2c5b84a912426df947e80aaf730b1714465533128c14d9836d8041","observation_id":"4633948a-3a8c-4a15-888c-d8b27b9f9700","resolution":{"observed_at":"2026-05-16T22:23:36.519731Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/blms.13018","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"C., & Sommer, S","venue":"Bulletin of the London Mathematical Society","work_id":"f9d79085-7b01-4dbb-9604-eb2600248620","year":2025},"citing_paper":{"arxiv_id":"2512.11676","last_updated":"2026-04-06T14:08:18Z","snapshot_observed_at":"2026-07-06T22:38:54.914862Z","submitted_at":"2025-12-12T15:54:32Z","title":"Stochastics of shapes and Kunita flows","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-16T22:23:20.029019Z"},"links":{"citing_paper":"/paper/2512.11676"},"observation_digest":"sha256:3d9a98fb38880df7cbbf880e7c70a1546eb63ffeccd884ea4b4af623b6203a7f","observation_id":"2e7f6ad2-dcf8-4c54-8d10-97ae146c0bf8","resolution":{"observed_at":"2026-05-16T22:23:36.533517Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10455-013-9380-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"W., & Mumford, D","venue":"Annals of Global Analysis and Geometry","work_id":"9293779c-cc6f-4ec4-a524-73ae8b53cf2f","year":2013},"citing_paper":{"arxiv_id":"2512.11676","last_updated":"2026-04-06T14:08:18Z","snapshot_observed_at":"2026-07-06T22:38:54.914862Z","submitted_at":"2025-12-12T15:54:32Z","title":"Stochastics of shapes and Kunita flows","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-16T22:23:20.029019Z"},"links":{"citing_paper":"/paper/2512.11676"},"observation_digest":"sha256:8b4c5e4983b2153ec934ac763419b4b14386563b5a0a3204c697be5260f47cba","observation_id":"43a8fb46-6937-4063-a96d-e2355b4f1bec","resolution":{"observed_at":"2026-05-16T22:23:36.529251Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2512.11676","last_updated":"2026-04-06T14:08:18Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-07-06T22:38:54.914862Z","submitted_at":"2025-12-12T15:54:32Z","title":"Stochastics of shapes and Kunita flows"},"reference_resolution":{"displayed":3,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":3,"verified_fuzzy":0},"total_outbound_references":3},"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":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 3 of 3 outbound references and 3 inbound Pith citation observations for arXiv:2512.11676."}