{"as_of":"2026-08-10T13:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:46f59465a51009d885ee9f727501b8f0f7bd1b88603219ece3abe40ef92f84d4","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+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":"2026-07-10T06:55:14.191655Z","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":"2026-07-10T06:56:52.197055Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2109.14570","last_updated":"2021-09-29T17:10:18Z","snapshot_observed_at":"2026-08-09T23:48:46.653697Z","submitted_at":"2021-09-29T17:10:18Z","title":"Hyperbolic 3-manifolds of low cusp volume","version":1},"cited_work":{"arxiv_id":"2109.14570","doi":null,"metadata_source":"pith","pith_arxiv_id":"2109.14570","snapshot_observed_at":"2026-07-10T06:56:52.197055Z","title":"Gabai, R","venue":"math.GT","work_id":"0a618465-40e6-412b-90a3-debbb9f89c89","year":2021},"citing_paper":{"arxiv_id":"2409.09842","last_updated":"2026-05-07T11:03:12Z","snapshot_observed_at":"2026-07-06T19:15:43.173430Z","submitted_at":"2024-09-15T19:39:34Z","title":"The search for alternating surgeries","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-05-23T20:46:43.563426Z"},"links":{"cited_paper":"/paper/2109.14570","citing_paper":"/paper/2409.09842"},"observation_digest":"sha256:c92e0a1ab207ce40b3d470cbcfa05c587a4b7cb26599718c4e64e9254be28662","observation_id":"25e857ee-ef45-42f1-9f76-fa809e68b6d4","resolution":{"observed_at":"2026-05-23T20:48:25.028730Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.14570","last_updated":"2021-09-29T17:10:18Z","snapshot_observed_at":"2026-08-09T23:48:46.653697Z","submitted_at":"2021-09-29T17:10:18Z","title":"Hyperbolic 3-manifolds of low cusp volume","version":1},"cited_work":{"arxiv_id":"2109.14570","doi":null,"metadata_source":"pith","pith_arxiv_id":"2109.14570","snapshot_observed_at":"2026-07-10T06:56:52.197055Z","title":"Gabai, R","venue":"math.GT","work_id":"0a618465-40e6-412b-90a3-debbb9f89c89","year":2021},"citing_paper":{"arxiv_id":"2606.06777","last_updated":"2026-06-04T23:39:06Z","snapshot_observed_at":"2026-08-04T05:09:34.059204Z","submitted_at":"2026-06-04T23:39:06Z","title":"Systole, inradius and rigidity of cusped hyperbolic 3-manifolds","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-27T22:29:43.599863Z"},"links":{"cited_paper":"/paper/2109.14570","citing_paper":"/paper/2606.06777"},"observation_digest":"sha256:262e67250d6bc2e11b469464d163f2eefc43af4e7ca7ce6b8b6ed30890fb0026","observation_id":"ced2f947-b087-425f-814d-f0439ddec70e","resolution":{"observed_at":"2026-07-02T16:37:09.518888Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.14570","last_updated":"2021-09-29T17:10:18Z","snapshot_observed_at":"2026-08-09T23:48:46.653697Z","submitted_at":"2021-09-29T17:10:18Z","title":"Hyperbolic 3-manifolds of low cusp volume","version":1},"cited_work":{"arxiv_id":"2109.14570","doi":null,"metadata_source":"pith","pith_arxiv_id":"2109.14570","snapshot_observed_at":"2026-07-10T06:56:52.197055Z","title":"Gabai, R","venue":"math.GT","work_id":"0a618465-40e6-412b-90a3-debbb9f89c89","year":2021},"citing_paper":{"arxiv_id":"2607.08473","last_updated":"2026-07-09T13:30:04Z","snapshot_observed_at":"2026-08-10T03:54:36.258463Z","submitted_at":"2026-07-09T13:30:04Z","title":"Hyperbolic manifolds without positive spun triangulations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-10T06:55:14.191655Z"},"links":{"cited_paper":"/paper/2109.14570","citing_paper":"/paper/2607.08473"},"observation_digest":"sha256:97d790877045ab8851b36e3b0c7c4a88202b42b6603cdff8cace40c19fd93d77","observation_id":"a5685e25-ef63-4bda-be42-13f719d54387","resolution":{"observed_at":"2026-07-10T06:56:52.198577Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2109.14570/citation-record","integrity":"/paper/2109.14570/integrity","json":"/paper/2109.14570/citation-record.json","paper":"/paper/2109.14570"},"outbound":[],"paper":{"arxiv_id":"2109.14570","last_updated":"2021-09-29T17:10:18Z","latest_version":1,"primary_category":"math.GT","snapshot_observed_at":"2026-08-09T23:48:46.653697Z","submitted_at":"2021-09-29T17:10:18Z","title":"Hyperbolic 3-manifolds of low cusp volume"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2109.14570."}