{"as_of":"2026-08-24T02:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4960c542b8a5a5d0171c6b9a6c888d1d30711e41256bd2ded490f5dab9fe978d","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":"2026-08-23T06:30:58.430688+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":"2026-08-16T11:51:25.613772Z","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":"2026-05-24T13:14:30.516561Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2203.14289","last_updated":"2023-03-13T13:14:26Z","snapshot_observed_at":"2026-08-16T17:11:31.136541Z","submitted_at":"2022-03-27T12:35:41Z","title":"An Introduction to Multiparameter Persistence","version":2},"cited_work":{"arxiv_id":"2203.14289","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2203.14289","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"An introduction to multiparameter per- sistence","venue":null,"work_id":"d613165b-5393-407e-a67d-e3c8cad816d2","year":2022},"citing_paper":{"arxiv_id":"2201.06650","last_updated":"2026-04-11T17:42:59Z","snapshot_observed_at":"2026-08-18T20:29:38.798383Z","submitted_at":"2022-01-17T22:40:59Z","title":"Galois Connections in Persistent Homology","version":6},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-24T13:10:04.852940Z"},"links":{"cited_paper":"/paper/2203.14289","citing_paper":"/paper/2201.06650"},"observation_digest":"sha256:427ef44c90a01b8946bc030b1ba1214c702c106d9ee78bd7fa97f2bfc8dcfb2c","observation_id":"79a6a8b2-3722-4385-b244-0563e3782a71","resolution":{"observed_at":"2026-05-24T13:14:30.520578Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.14289","last_updated":"2023-03-13T13:14:26Z","snapshot_observed_at":"2026-08-16T17:11:31.136541Z","submitted_at":"2022-03-27T12:35:41Z","title":"An Introduction to Multiparameter Persistence","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.14289","snapshot_observed_at":"2026-08-11T21:14:32.464158Z","title":"An introduction to multiparameter per- sistence","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.04995","last_updated":"2026-06-27T06:45:33Z","snapshot_observed_at":"2026-08-19T21:15:51.658937Z","submitted_at":"2024-12-06T12:44:03Z","title":"Barcoding Invariants and Their Comparison","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T21:14:32.464158Z"},"links":{"cited_paper":"/paper/2203.14289","citing_paper":"/paper/2412.04995"},"observation_digest":"sha256:b72e96265c88c282870407cbeb327328109925e1a2e66573e71b2d0d466f4960","observation_id":"cf477957-829d-4da3-ba7e-a637ec45a6ce","resolution":{"observed_at":"2026-08-11T21:14:32.464158Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.14289","last_updated":"2023-03-13T13:14:26Z","snapshot_observed_at":"2026-08-16T17:11:31.136541Z","submitted_at":"2022-03-27T12:35:41Z","title":"An Introduction to Multiparameter Persistence","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.14289","snapshot_observed_at":"2026-08-07T20:51:11.387313Z","title":"G., Aguilar, J., Ahlen, S., et al","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2502.09709","last_updated":"2025-02-25T20:51:05Z","snapshot_observed_at":"2026-08-23T15:53:43.630504Z","submitted_at":"2025-02-13T19:00:30Z","title":"Cosmological information content of Betti curves and $k$-nearest neighbor distributions","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T20:51:11.387313Z"},"links":{"cited_paper":"/paper/2203.14289","citing_paper":"/paper/2502.09709"},"observation_digest":"sha256:4a329372434ff0d6d975722a1159bfaac4c3eec0dddfb19837eb37e38cfe35ff","observation_id":"116fcce4-a2c3-43cf-a67b-68b0f0dc1567","resolution":{"observed_at":"2026-08-07T20:51:11.387313Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.14289","last_updated":"2023-03-13T13:14:26Z","snapshot_observed_at":"2026-08-16T17:11:31.136541Z","submitted_at":"2022-03-27T12:35:41Z","title":"An Introduction to Multiparameter Persistence","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.14289","snapshot_observed_at":"2026-08-16T11:51:25.613772Z","title":"An Introduction to Multiparameter Persistence","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2504.14844","last_updated":"2025-08-04T09:56:30Z","snapshot_observed_at":"2026-08-16T11:37:18.807909Z","submitted_at":"2025-04-21T03:56:47Z","title":"Geometric construction of Kashiwara crystals on multiparameter persistence","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T11:51:25.613772Z"},"links":{"cited_paper":"/paper/2203.14289","citing_paper":"/paper/2504.14844"},"observation_digest":"sha256:decfd9642db0ce77e9982abb282baaadc46d44d1e67d57bb6aa972f1244e21e8","observation_id":"df01ea56-feac-4319-9482-aae91c5a9c88","resolution":{"observed_at":"2026-08-16T11:51:25.613772Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.14289","last_updated":"2023-03-13T13:14:26Z","snapshot_observed_at":"2026-08-16T17:11:31.136541Z","submitted_at":"2022-03-27T12:35:41Z","title":"An Introduction to Multiparameter Persistence","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.14289","snapshot_observed_at":"2026-08-15T21:59:04.573509Z","title":"An introduction to multiparameter persistence, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.08755","last_updated":"2026-06-04T09:01:06Z","snapshot_observed_at":"2026-08-20T05:32:43.923946Z","submitted_at":"2025-05-13T17:17:13Z","title":"Computing Projective Implicit Representations from Poset Towers","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-15T21:59:04.573509Z"},"links":{"cited_paper":"/paper/2203.14289","citing_paper":"/paper/2505.08755"},"observation_digest":"sha256:8f83811d4085c894da0a217e82df0fccf681bfb79dfc9b1b4aa0569bc380a8e9","observation_id":"38817bf9-d91a-4d11-b775-13eb4b0902c0","resolution":{"observed_at":"2026-08-15T21:59:04.573509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.14289","last_updated":"2023-03-13T13:14:26Z","snapshot_observed_at":"2026-08-16T17:11:31.136541Z","submitted_at":"2022-03-27T12:35:41Z","title":"An Introduction to Multiparameter Persistence","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.14289","snapshot_observed_at":"2026-08-06T10:32:45.785059Z","title":"An introduc- tion to multiparameter persistence","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.23762","last_updated":"2025-07-31T17:50:48Z","snapshot_observed_at":"2026-08-10T02:12:56.731816Z","submitted_at":"2025-07-31T17:50:48Z","title":"Path representations in multiparameter persistent homology","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T10:32:45.785059Z"},"links":{"cited_paper":"/paper/2203.14289","citing_paper":"/paper/2507.23762"},"observation_digest":"sha256:3780978bccbc9eb8d1958161810b823f8883a05b081cd44bb14da8ec76c43ce5","observation_id":"d5fce9bf-1d79-455a-915f-71235b9ba0fe","resolution":{"observed_at":"2026-08-06T10:32:45.785059Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.14289","last_updated":"2023-03-13T13:14:26Z","snapshot_observed_at":"2026-08-16T17:11:31.136541Z","submitted_at":"2022-03-27T12:35:41Z","title":"An Introduction to Multiparameter Persistence","version":2},"cited_work":{"arxiv_id":"2203.14289","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2203.14289","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"An introduction to multiparameter per- sistence","venue":null,"work_id":"d613165b-5393-407e-a67d-e3c8cad816d2","year":2022},"citing_paper":{"arxiv_id":"2604.27566","last_updated":"2026-04-30T08:17:50Z","snapshot_observed_at":"2026-07-06T23:13:02.921765Z","submitted_at":"2026-04-30T08:17:50Z","title":"On the Hereditariness of the Representations of Thread Quivers","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-05-07T09:18:41.093477Z"},"links":{"cited_paper":"/paper/2203.14289","citing_paper":"/paper/2604.27566"},"observation_digest":"sha256:698c00db50d4589e70d3a87477906c6f3b89e12f330837601e318d36edc1c1d9","observation_id":"734f865e-ab6a-43b8-8c38-d9b02fe1ae24","resolution":{"observed_at":"2026-05-12T09:46:27.455425Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.14289","last_updated":"2023-03-13T13:14:26Z","snapshot_observed_at":"2026-08-16T17:11:31.136541Z","submitted_at":"2022-03-27T12:35:41Z","title":"An Introduction to Multiparameter Persistence","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.14289","snapshot_observed_at":"2026-08-01T06:54:34.556249Z","title":"An introduction to multiparameter persistence","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.27493","last_updated":"2026-07-29T22:20:28Z","snapshot_observed_at":"2026-08-17T21:10:01.126977Z","submitted_at":"2026-07-29T22:20:28Z","title":"Topology of Shape and Data in Material Microstructures","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-01T06:54:34.556249Z"},"links":{"cited_paper":"/paper/2203.14289","citing_paper":"/paper/2607.27493"},"observation_digest":"sha256:8da96a3519855f9c6a682553062d3c5e5aa8879a07994813e8141674ab0bb340","observation_id":"e56d320c-4ef5-423d-95c9-c2128f8bcc85","resolution":{"observed_at":"2026-08-01T06:54:34.556249Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.14289","last_updated":"2023-03-13T13:14:26Z","snapshot_observed_at":"2026-08-16T17:11:31.136541Z","submitted_at":"2022-03-27T12:35:41Z","title":"An Introduction to Multiparameter Persistence","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.14289","snapshot_observed_at":"2026-08-06T20:17:30.894564Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.04640","last_updated":"2026-08-05T09:58:59Z","snapshot_observed_at":"2026-08-14T08:13:26.471336Z","submitted_at":"2026-08-05T09:58:59Z","title":"The fiber of multiparameter persistent homology for simplicial complexes","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-06T20:17:30.894564Z"},"links":{"cited_paper":"/paper/2203.14289","citing_paper":"/paper/2608.04640"},"observation_digest":"sha256:396034b160ba57aed810ed67c66e55b4729c488d164e08d229119b024a3c36e3","observation_id":"789ad47a-f1ac-40ae-ba8b-97705f8c3725","resolution":{"observed_at":"2026-08-06T20:17:30.894564Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2203.14289/citation-record","integrity":"/paper/2203.14289/integrity","json":"/paper/2203.14289/citation-record.json","paper":"/paper/2203.14289"},"outbound":[],"paper":{"arxiv_id":"2203.14289","last_updated":"2023-03-13T13:14:26Z","latest_version":2,"primary_category":"math.AT","snapshot_observed_at":"2026-08-16T17:11:31.136541Z","submitted_at":"2022-03-27T12:35:41Z","title":"An Introduction to Multiparameter Persistence"},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 24 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2203.14289."}