{"as_of":"2026-08-18T06:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:676471e095658c7e8e907b8af36468863e35512cc10cf043b412d8592c84ebfd","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":13,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":13,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":13,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T23:33:57.331538Z","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":"2410.21537","last_updated":"2024-10-28T21:03:52Z","snapshot_observed_at":"2026-08-16T13:05:12.326017Z","submitted_at":"2024-10-28T21:03:52Z","title":"Dualizable presentable $\\infty$-categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.21537","snapshot_observed_at":"2026-08-10T20:42:02.759371Z","title":"Dualizable presentable ∞-categories","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.07697","last_updated":"2025-01-13T21:15:44Z","snapshot_observed_at":"2026-08-10T20:34:41.310107Z","submitted_at":"2025-01-13T21:15:44Z","title":"Enriched $\\infty$-categories as marked module categories","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:02.759371Z"},"links":{"cited_paper":"/paper/2410.21537","citing_paper":"/paper/2501.07697"},"observation_digest":"sha256:b9f7e9a26f5196e55c4131c77de87b07a567f07b48ae81c2e16989534d8b0c88","observation_id":"32fb8431-82fc-4805-a2af-95d98c396d4d","resolution":{"observed_at":"2026-08-10T20:42:02.759371Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21537","last_updated":"2024-10-28T21:03:52Z","snapshot_observed_at":"2026-08-16T13:05:12.326017Z","submitted_at":"2024-10-28T21:03:52Z","title":"Dualizable presentable $\\infty$-categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.21537","snapshot_observed_at":"2026-08-08T23:36:00.768034Z","title":"Ramzi, ``Dualizable presentable -categories''","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.04123","last_updated":"2025-02-10T13:08:13Z","snapshot_observed_at":"2026-08-16T10:37:13.982658Z","submitted_at":"2025-02-06T14:55:07Z","title":"Localizing invariants of inverse limits","version":2},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-08T23:36:00.768034Z"},"links":{"cited_paper":"/paper/2410.21537","citing_paper":"/paper/2502.04123"},"observation_digest":"sha256:aebd500ed8772eebcf9feca4165623836858a7f094d22d15c81c496aff7b732a","observation_id":"d0ca2eb2-1e08-4fb2-8b6b-7c696e5d0877","resolution":{"observed_at":"2026-08-08T23:36:00.768034Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21537","last_updated":"2024-10-28T21:03:52Z","snapshot_observed_at":"2026-08-16T13:05:12.326017Z","submitted_at":"2024-10-28T21:03:52Z","title":"Dualizable presentable $\\infty$-categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.21537","snapshot_observed_at":"2026-08-15T23:33:57.331538Z","title":"Dualizable presentable∞-categories, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.04817","last_updated":"2025-05-07T21:37:10Z","snapshot_observed_at":"2026-08-17T14:01:05.545348Z","submitted_at":"2025-05-07T21:37:10Z","title":"Very Schwartz coidempotents and continuous spectrum","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T23:33:57.331538Z"},"links":{"cited_paper":"/paper/2410.21537","citing_paper":"/paper/2505.04817"},"observation_digest":"sha256:e43ad6b2eaaea753ae0b169ee0b154f52f4c516239735fc111b7fda36e39c0ea","observation_id":"d596d639-16e4-44d3-91c6-a6e4cba3c8e1","resolution":{"observed_at":"2026-08-15T23:33:57.331538Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21537","last_updated":"2024-10-28T21:03:52Z","snapshot_observed_at":"2026-08-16T13:05:12.326017Z","submitted_at":"2024-10-28T21:03:52Z","title":"Dualizable presentable $\\infty$-categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.21537","snapshot_observed_at":"2026-08-06T18:23:23.124420Z","title":"Spectral algebraic geometry","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.08566","last_updated":"2025-07-11T13:08:37Z","snapshot_observed_at":"2026-08-13T07:46:29.738825Z","submitted_at":"2025-07-11T13:08:37Z","title":"Categorical K\\\"unneth formulas for analytic stacks","version":1},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-06T18:23:23.124420Z"},"links":{"cited_paper":"/paper/2410.21537","citing_paper":"/paper/2507.08566"},"observation_digest":"sha256:c90f2295a7a131b6160cc52f0144dc45aef7476a3147f93b51e35740ca675317","observation_id":"575d1f36-cf57-46a5-a009-8da2e815b6b2","resolution":{"observed_at":"2026-08-06T18:23:23.124420Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21537","last_updated":"2024-10-28T21:03:52Z","snapshot_observed_at":"2026-08-16T13:05:12.326017Z","submitted_at":"2024-10-28T21:03:52Z","title":"Dualizable presentable $\\infty$-categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.21537","snapshot_observed_at":"2026-08-15T17:52:07.102412Z","title":"Dualizable presentable ∞-categories,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.20359","last_updated":"2025-08-25T10:09:58Z","snapshot_observed_at":"2026-08-16T10:37:51.261722Z","submitted_at":"2025-07-27T17:15:22Z","title":"Adelic descent for continuous localizing invariants","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T17:52:07.102412Z"},"links":{"cited_paper":"/paper/2410.21537","citing_paper":"/paper/2507.20359"},"observation_digest":"sha256:c90fcb5645ad1ce4efb657def3d42ce5c09aad4afd6648241a289204ed23c633","observation_id":"209ff5e5-18a8-4595-98f1-0136e43ffa69","resolution":{"observed_at":"2026-08-15T17:52:07.102412Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21537","last_updated":"2024-10-28T21:03:52Z","snapshot_observed_at":"2026-08-16T13:05:12.326017Z","submitted_at":"2024-10-28T21:03:52Z","title":"Dualizable presentable $\\infty$-categories","version":1},"cited_work":{"arxiv_id":"2410.21537","doi":"10.48550/arxiv.2410.21537","metadata_source":"pith","pith_arxiv_id":"2410.21537","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Notes on author’s webpage,https : / / sites","venue":"math.CT","work_id":"03350215-3b45-477a-9e38-6dd91619d0ce","year":2024},"citing_paper":{"arxiv_id":"2603.27786","last_updated":"2026-04-08T01:15:02Z","snapshot_observed_at":"2026-08-17T07:58:44.392854Z","submitted_at":"2026-03-29T17:42:38Z","title":"Higher algebra in $t$-structured tensor triangulated $\\infty$-categories","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-14T22:02:02.342374Z"},"links":{"cited_paper":"/paper/2410.21537","citing_paper":"/paper/2603.27786"},"observation_digest":"sha256:2148b75d5a8f1ac52fc02e9bcb024224adbf6fe5f6c5b11575162efc47b91130","observation_id":"dba03958-e67e-4f9b-8271-1fddd85f3a77","resolution":{"observed_at":"2026-05-14T22:03:02.590385Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21537","last_updated":"2024-10-28T21:03:52Z","snapshot_observed_at":"2026-08-16T13:05:12.326017Z","submitted_at":"2024-10-28T21:03:52Z","title":"Dualizable presentable $\\infty$-categories","version":1},"cited_work":{"arxiv_id":"2410.21537","doi":"10.48550/arxiv.2410.21537","metadata_source":"pith","pith_arxiv_id":"2410.21537","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Notes on author’s webpage,https : / / sites","venue":"math.CT","work_id":"03350215-3b45-477a-9e38-6dd91619d0ce","year":2024},"citing_paper":{"arxiv_id":"2604.08066","last_updated":"2026-04-09T10:30:47Z","snapshot_observed_at":"2026-08-15T03:16:26.780752Z","submitted_at":"2026-04-09T10:30:47Z","title":"Bredon sheaf cohomology","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-10T17:57:17.745595Z"},"links":{"cited_paper":"/paper/2410.21537","citing_paper":"/paper/2604.08066"},"observation_digest":"sha256:4b699d979978ba78dfcfdff2fdf98109bdbac76fa7bff02acca7c16826e927cd","observation_id":"c4c6d5a5-2399-4c3a-98f9-7a4e34c925db","resolution":{"observed_at":"2026-05-11T05:46:10.640417Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21537","last_updated":"2024-10-28T21:03:52Z","snapshot_observed_at":"2026-08-16T13:05:12.326017Z","submitted_at":"2024-10-28T21:03:52Z","title":"Dualizable presentable $\\infty$-categories","version":1},"cited_work":{"arxiv_id":"2410.21537","doi":"10.48550/arxiv.2410.21537","metadata_source":"pith","pith_arxiv_id":"2410.21537","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Notes on author’s webpage,https : / / sites","venue":"math.CT","work_id":"03350215-3b45-477a-9e38-6dd91619d0ce","year":2024},"citing_paper":{"arxiv_id":"2605.10280","last_updated":"2026-05-11T09:40:10Z","snapshot_observed_at":"2026-08-13T03:26:43.468908Z","submitted_at":"2026-05-11T09:40:10Z","title":"The Galois theory of $G$-spectra and the Burnside ring","version":1},"reference_index":101,"source":"arxiv_source","source_observed_at":"2026-05-12T03:29:02.296254Z"},"links":{"cited_paper":"/paper/2410.21537","citing_paper":"/paper/2605.10280"},"observation_digest":"sha256:615a8b755663415fcdaa9022820f6986ac85945fc787cf76d5269acd97fcac63","observation_id":"4ec82ce6-7d28-42d8-9673-faa2a1f54637","resolution":{"observed_at":"2026-05-12T03:31:18.616456Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21537","last_updated":"2024-10-28T21:03:52Z","snapshot_observed_at":"2026-08-16T13:05:12.326017Z","submitted_at":"2024-10-28T21:03:52Z","title":"Dualizable presentable $\\infty$-categories","version":1},"cited_work":{"arxiv_id":"2410.21537","doi":"10.48550/arxiv.2410.21537","metadata_source":"pith","pith_arxiv_id":"2410.21537","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Notes on author’s webpage,https : / / sites","venue":"math.CT","work_id":"03350215-3b45-477a-9e38-6dd91619d0ce","year":2024},"citing_paper":{"arxiv_id":"2607.06676","last_updated":"2026-07-07T18:00:36Z","snapshot_observed_at":"2026-08-18T02:26:50.982427Z","submitted_at":"2026-07-07T18:00:36Z","title":"Enriched $\\infty$-operads as marked algebras","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-10T23:36:25.373520Z"},"links":{"cited_paper":"/paper/2410.21537","citing_paper":"/paper/2607.06676"},"observation_digest":"sha256:87da2f5a136fc8813b72e388c45a1fbf760dd3b53d2fab4c54d6b1d44f900890","observation_id":"54db1dd4-89e8-4f6a-8285-1cda170d645b","resolution":{"observed_at":"2026-07-10T23:37:41.016202Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21537","last_updated":"2024-10-28T21:03:52Z","snapshot_observed_at":"2026-08-16T13:05:12.326017Z","submitted_at":"2024-10-28T21:03:52Z","title":"Dualizable presentable $\\infty$-categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.21537","snapshot_observed_at":"2026-08-02T05:43:23.955491Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.13329","last_updated":"2026-07-14T23:22:19Z","snapshot_observed_at":"2026-08-16T02:02:28.476942Z","submitted_at":"2026-07-14T23:22:19Z","title":"Smashing, Balmer, Zariski spectra: an ideal approach","version":1},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-02T05:43:23.955491Z"},"links":{"cited_paper":"/paper/2410.21537","citing_paper":"/paper/2607.13329"},"observation_digest":"sha256:bb66fb0229765c8bfd5184c2ee7c75c9e462dae683aab1ffd0cba57de805cfc5","observation_id":"49fc0d24-1ace-4c36-a953-5d10a36b09cd","resolution":{"observed_at":"2026-08-02T05:43:23.955491Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21537","last_updated":"2024-10-28T21:03:52Z","snapshot_observed_at":"2026-08-16T13:05:12.326017Z","submitted_at":"2024-10-28T21:03:52Z","title":"Dualizable presentable $\\infty$-categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.21537","snapshot_observed_at":"2026-08-04T08:21:00.462823Z","title":"doi:10.48550/arXiv.2410.21537 , url =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02390","last_updated":"2026-08-03T15:31:27Z","snapshot_observed_at":"2026-08-17T21:29:45.431152Z","submitted_at":"2026-08-03T15:31:27Z","title":"A family completion theorem for tempered cohomology","version":1},"reference_index":106,"source":"arxiv_source","source_observed_at":"2026-08-04T08:21:00.462823Z"},"links":{"cited_paper":"/paper/2410.21537","citing_paper":"/paper/2608.02390"},"observation_digest":"sha256:99f734fd3f17093fdcbadd8ff7fd0101822f1bd4e8d544fe7080a38e3c48c158","observation_id":"9b31f17b-1727-401d-8ca5-09e5a9ac5b10","resolution":{"observed_at":"2026-08-04T08:21:00.462823Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21537","last_updated":"2024-10-28T21:03:52Z","snapshot_observed_at":"2026-08-16T13:05:12.326017Z","submitted_at":"2024-10-28T21:03:52Z","title":"Dualizable presentable $\\infty$-categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.21537","snapshot_observed_at":"2026-08-06T14:09:47.248494Z","title":"Dualizable presentable ∞-categories","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.04898","last_updated":"2026-08-05T14:23:49Z","snapshot_observed_at":"2026-08-17T21:52:48.816727Z","submitted_at":"2026-08-05T14:23:49Z","title":"Dualizable Additive Categories","version":1},"reference_index":1997,"source":"pdf_text","source_observed_at":"2026-08-06T14:09:47.248494Z"},"links":{"cited_paper":"/paper/2410.21537","citing_paper":"/paper/2608.04898"},"observation_digest":"sha256:3a79e723fa09d75eead0a4707d1508bcc12c8960a650ab6ea78dc635f2d55c72","observation_id":"1cd1dbb1-4b04-4dac-a765-d3404b848d38","resolution":{"observed_at":"2026-08-06T14:09:47.248494Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21537","last_updated":"2024-10-28T21:03:52Z","snapshot_observed_at":"2026-08-16T13:05:12.326017Z","submitted_at":"2024-10-28T21:03:52Z","title":"Dualizable presentable $\\infty$-categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.21537","snapshot_observed_at":"2026-08-12T19:38:37.232263Z","title":"Dualizable presentable -categories","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.10681","last_updated":"2026-08-11T09:03:47Z","snapshot_observed_at":"2026-08-16T22:06:59.744078Z","submitted_at":"2026-08-11T09:03:47Z","title":"$\\mathrm{Mot}^{\\mathrm{loc}}$ is not compactly generated","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-12T19:38:37.232263Z"},"links":{"cited_paper":"/paper/2410.21537","citing_paper":"/paper/2608.10681"},"observation_digest":"sha256:6bc3f8ae45424bf92e3b8c7e3f7689b95437b07dbf1c60803c1f6b5930338098","observation_id":"fa1d3f6c-7b92-4d24-8eff-15584b1d47ab","resolution":{"observed_at":"2026-08-12T19:38:37.232263Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2410.21537/citation-record","integrity":"/paper/2410.21537/integrity","json":"/paper/2410.21537/citation-record.json","paper":"/paper/2410.21537"},"outbound":[],"paper":{"arxiv_id":"2410.21537","last_updated":"2024-10-28T21:03:52Z","latest_version":1,"primary_category":"math.CT","snapshot_observed_at":"2026-08-16T13:05:12.326017Z","submitted_at":"2024-10-28T21:03:52Z","title":"Dualizable presentable $\\infty$-categories"},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:2410.21537."}