{"as_of":"2026-08-16T10:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5d741e75e5a7e2742ebc864d57cd427ecc6f8f48e95a3830a1cf70311284d256","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T20:48:21.358602Z","state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.12088/citation-record","integrity":"/paper/2505.12088/integrity","json":"/paper/2505.12088/citation-record.json","paper":"/paper/2505.12088"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:48:21.295992Z","title":null,"venue":null,"work_id":null,"year":1925},"citing_paper":{"arxiv_id":"2505.12088","last_updated":"2026-06-30T22:21:38Z","snapshot_observed_at":"2026-08-15T20:39:05.720709Z","submitted_at":"2025-05-17T17:08:42Z","title":"Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T20:48:21.295992Z"},"links":{"citing_paper":"/paper/2505.12088"},"observation_digest":"sha256:d34f8a745b8a1d46d3c33814ed94105f3cdc9c1077cc680a79504cfae3a3f4cc","observation_id":"848b8e01-752a-44a4-9571-dfa71a87962b","resolution":{"observed_at":"2026-08-15T20:48:21.295992Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:48:21.691110Z","title":"With English and French prefaces","venue":null,"work_id":"877d7cb8-0701-4b23-89dc-8ceac82fcf58","year":1973},"citing_paper":{"arxiv_id":"2505.12088","last_updated":"2026-06-30T22:21:38Z","snapshot_observed_at":"2026-08-15T20:39:05.720709Z","submitted_at":"2025-05-17T17:08:42Z","title":"Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T20:48:21.346229Z"},"links":{"citing_paper":"/paper/2505.12088"},"observation_digest":"sha256:7cccba8e7a42d1a545ae467004532752aa9bd2a6e383aef1ca440b8bc76a3bc0","observation_id":"cd89459d-330b-4482-9d3d-1f1bd8ee6936","resolution":{"observed_at":"2026-08-15T20:48:21.697156Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:48:21.340951Z","title":"url: https://doi.org/10.2140/gt.1999.3.103 (p","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2505.12088","last_updated":"2026-06-30T22:21:38Z","snapshot_observed_at":"2026-08-15T20:39:05.720709Z","submitted_at":"2025-05-17T17:08:42Z","title":"Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T20:48:21.340951Z"},"links":{"citing_paper":"/paper/2505.12088"},"observation_digest":"sha256:74fd1897e5abb8137fe61e624804173d4dba102e87116b52fa769d47ccf6a33c","observation_id":"d42fd4ef-aeb1-472b-9c7f-3b8442575692","resolution":{"observed_at":"2026-08-15T20:48:21.340951Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.09659","last_updated":"2021-10-18T23:54:06Z","snapshot_observed_at":"2026-08-13T17:50:20.178113Z","submitted_at":"2021-10-18T23:54:06Z","title":"Second obstruction to pseudoisotopy I","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.09659","snapshot_observed_at":"2026-08-15T20:48:21.353160Z","title":"url: https://arxiv.org/abs/2110.09659 (p","venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2505.12088","last_updated":"2026-06-30T22:21:38Z","snapshot_observed_at":"2026-08-15T20:39:05.720709Z","submitted_at":"2025-05-17T17:08:42Z","title":"Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T20:48:21.353160Z"},"links":{"cited_paper":"/paper/2110.09659","citing_paper":"/paper/2505.12088"},"observation_digest":"sha256:9332da485517a636c1e1313f64382cd3419b93c1bb52b1c076b80dee9dfe181d","observation_id":"d687fa24-8cec-48bf-8be7-3b54c161c98c","resolution":{"observed_at":"2026-08-15T20:48:21.353160Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:48:21.709529Z","title":null,"venue":null,"work_id":"8d85c453-3b74-4496-b9e1-0d86c19df0f1","year":1999},"citing_paper":{"arxiv_id":"2505.12088","last_updated":"2026-06-30T22:21:38Z","snapshot_observed_at":"2026-08-15T20:39:05.720709Z","submitted_at":"2025-05-17T17:08:42Z","title":"Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T20:48:21.335102Z"},"links":{"citing_paper":"/paper/2505.12088"},"observation_digest":"sha256:faa2ea59281f9bc84f6d2258cacca7259d6dcb684730e68f0a03f9f11c063ef5","observation_id":"ab355ed6-d0de-4c5f-9152-c5aff6fd30b4","resolution":{"observed_at":"2026-08-15T20:48:21.715163Z","resolver_source":"raw_fallback","status":"unresolved"},"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:48:21.314139Z","title":"Princeton University Press, Princeton, NJ, 1990, pp","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.12088","last_updated":"2026-06-30T22:21:38Z","snapshot_observed_at":"2026-08-15T20:39:05.720709Z","submitted_at":"2025-05-17T17:08:42Z","title":"Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T20:48:21.314139Z"},"links":{"citing_paper":"/paper/2505.12088"},"observation_digest":"sha256:5cf003f19f917283ccc580870a65c7fbf0fd2cb8e6215d8be94311de54c1d201","observation_id":"59a28241-68f2-42c9-933c-ed702a0384fd","resolution":{"observed_at":"2026-08-15T20:48:21.314139Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.09029","last_updated":"2021-04-27T08:42:18Z","snapshot_observed_at":"2026-08-14T16:31:26.609601Z","submitted_at":"2019-12-19T06:03:31Z","title":"Knotted 3-balls in S^4","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.09029","snapshot_observed_at":"2026-08-15T20:48:21.302243Z","title":"url: https://arxiv.org/abs/1912.09029 (pp","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2505.12088","last_updated":"2026-06-30T22:21:38Z","snapshot_observed_at":"2026-08-15T20:39:05.720709Z","submitted_at":"2025-05-17T17:08:42Z","title":"Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres","version":2},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-15T20:48:21.302243Z"},"links":{"cited_paper":"/paper/1912.09029","citing_paper":"/paper/2505.12088"},"observation_digest":"sha256:bd56d6f8852a6cf9531f1ae89ec6d2e0b2d57e697ce98945cf91f9ff4451ebc7","observation_id":"4ee55e9a-255f-4e6b-94a5-c58408f1e23e","resolution":{"observed_at":"2026-08-15T20:48:21.302243Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2102.12890","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:48:21.543972Z","title":"url: https://arxiv.org/abs/2102.12890 (p","venue":null,"work_id":"02f5b346-146b-4c8e-be8f-19a9d115b9de","year":null},"citing_paper":{"arxiv_id":"2505.12088","last_updated":"2026-06-30T22:21:38Z","snapshot_observed_at":"2026-08-15T20:39:05.720709Z","submitted_at":"2025-05-17T17:08:42Z","title":"Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres","version":2},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-15T20:48:21.330304Z"},"links":{"citing_paper":"/paper/2505.12088"},"observation_digest":"sha256:dcf2e37860ae0bb69d36d012f4cc237a8e90eaf05daf2ce25ac08b907986d7f5","observation_id":"6882efde-8cb1-43c4-9cfa-45e68751e716","resolution":{"observed_at":"2026-08-15T20:48:21.553654Z","resolver_source":"raw_fallback","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"}},{"citation":{"cited_paper":{"arxiv_id":"2212.02004","last_updated":"2024-05-29T17:27:26Z","snapshot_observed_at":"2026-08-13T13:28:28.279722Z","submitted_at":"2022-12-05T03:28:10Z","title":"3-Spheres in the 4-Sphere and Pseudo-Isotopies of $S^1\\times S^3$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.02004","snapshot_observed_at":"2026-08-15T20:48:21.319558Z","title":"url: https://arxiv.org/abs/2212.02004 (pp","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.12088","last_updated":"2026-06-30T22:21:38Z","snapshot_observed_at":"2026-08-15T20:39:05.720709Z","submitted_at":"2025-05-17T17:08:42Z","title":"Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres","version":2},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-15T20:48:21.319558Z"},"links":{"cited_paper":"/paper/2212.02004","citing_paper":"/paper/2505.12088"},"observation_digest":"sha256:07f7f6933b21c9707a76e130a2afd24911daa038332ea2280f620f7d067bfbc0","observation_id":"879958d4-a5b5-4880-babf-38a52f8627b5","resolution":{"observed_at":"2026-08-15T20:48:21.319558Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:48:21.325205Z","title":"url: https://arxiv.org/abs/2311.11196 (pp","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.12088","last_updated":"2026-06-30T22:21:38Z","snapshot_observed_at":"2026-08-15T20:39:05.720709Z","submitted_at":"2025-05-17T17:08:42Z","title":"Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres","version":2},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-15T20:48:21.325205Z"},"links":{"citing_paper":"/paper/2505.12088"},"observation_digest":"sha256:82798b38908965a692f4bdf9d96d16c99f832faa1f85e92754d2f4d03e6aeab2","observation_id":"a52c548c-8582-4ccc-875f-cc7d51097880","resolution":{"observed_at":"2026-08-15T20:48:21.325205Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.07467","last_updated":"2024-12-10T12:35:26Z","snapshot_observed_at":"2026-08-15T14:11:18.365031Z","submitted_at":"2024-12-10T12:35:26Z","title":"Grasper families of spheres in $S^2 \\times D^2$ and barbell diffeomorphisms of $S^1\\times S^2 \\times I$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.07467","snapshot_observed_at":"2026-08-15T20:48:21.308270Z","title":"url: https://arxiv.org/abs/2412.07467 (p","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.12088","last_updated":"2026-06-30T22:21:38Z","snapshot_observed_at":"2026-08-15T20:39:05.720709Z","submitted_at":"2025-05-17T17:08:42Z","title":"Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-15T20:48:21.308270Z"},"links":{"cited_paper":"/paper/2412.07467","citing_paper":"/paper/2505.12088"},"observation_digest":"sha256:7fde665145e52bea2d7fb15ebb02e32a623078e61bc2a067867810a5056cd842","observation_id":"ce13b885-ff3c-4167-84cb-ba9c5a20c277","resolution":{"observed_at":"2026-08-15T20:48:21.308270Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.15658","last_updated":"2022-11-14T23:49:19Z","snapshot_observed_at":"2026-08-16T10:53:02.019587Z","submitted_at":"2021-11-30T18:46:01Z","title":"Pseudo-isotopies and diffeomorphisms of 4-manifolds","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.15658","snapshot_observed_at":"2026-08-15T20:48:21.358602Z","title":"url: https://arxiv.org/abs/2111.15658 (p","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2505.12088","last_updated":"2026-06-30T22:21:38Z","snapshot_observed_at":"2026-08-15T20:39:05.720709Z","submitted_at":"2025-05-17T17:08:42Z","title":"Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres","version":2},"reference_index":2111,"source":"pdf_text","source_observed_at":"2026-08-15T20:48:21.358602Z"},"links":{"cited_paper":"/paper/2111.15658","citing_paper":"/paper/2505.12088"},"observation_digest":"sha256:a7010485de370144c4aa203f5363ebe08ef062e7ea5bd3af20e62145b2215a6b","observation_id":"51333ef8-6da1-4e0b-97dc-2a31eb0a1e5d","resolution":{"observed_at":"2026-08-15T20:48:21.358602Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2505.12088","last_updated":"2026-06-30T22:21:38Z","latest_version":2,"primary_category":"math.GT","snapshot_observed_at":"2026-08-15T20:39:05.720709Z","submitted_at":"2025-05-17T17:08:42Z","title":"Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":1,"verified_fuzzy":1},"total_outbound_references":12},"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 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2505.12088."}