{"as_of":"2026-08-23T10:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d23bdef24384adc0497bff05dbf9fba2f19294759aca285d21e05ba5a3b12199","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":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":"2026-08-23T06:30:58.430688+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:42:45.873319Z","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":"2026-07-01T13:15:45.947362Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.07475","last_updated":"2024-12-10T12:46:08Z","snapshot_observed_at":"2026-08-16T13:00:17.893804Z","submitted_at":"2024-12-10T12:46:08Z","title":"Enhanced 2-categorical structures, two-dimensional limit sketches and the symmetry of internalisation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.07475","snapshot_observed_at":"2026-08-07T15:42:45.873319Z","title":"Available: https://doi.org/10.48550/arXiv.2412.07475","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.14482","last_updated":"2025-06-13T15:27:35Z","snapshot_observed_at":"2026-08-20T09:40:47.360396Z","submitted_at":"2025-05-20T15:15:13Z","title":"Logical relations for call-by-push-value models, via internal fibrations in a 2-category","version":2},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:45.873319Z"},"links":{"cited_paper":"/paper/2412.07475","citing_paper":"/paper/2505.14482"},"observation_digest":"sha256:b38366d1682cc919d5a1d61d67f309da9e2b209e928224d90c010a3649e3ee65","observation_id":"0dfbeaf6-44fc-4d95-817a-3b4a00c1f34b","resolution":{"observed_at":"2026-08-07T15:42:45.873319Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.07475","last_updated":"2024-12-10T12:46:08Z","snapshot_observed_at":"2026-08-16T13:00:17.893804Z","submitted_at":"2024-12-10T12:46:08Z","title":"Enhanced 2-categorical structures, two-dimensional limit sketches and the symmetry of internalisation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.07475","snapshot_observed_at":"2026-08-05T19:54:29.199976Z","title":"[AM24] Nathanael Arkor and Dylan McDermott","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.11611","last_updated":"2026-05-29T17:54:28Z","snapshot_observed_at":"2026-08-15T01:03:08.440380Z","submitted_at":"2025-08-15T17:21:26Z","title":"Exponentiable virtual double categories and presheaves for double categories","version":3},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-05T19:54:29.199976Z"},"links":{"cited_paper":"/paper/2412.07475","citing_paper":"/paper/2508.11611"},"observation_digest":"sha256:b8a837d92e3ead143edcc86209923472d724be4cd946a1a2f83e2b9c5e9a2736","observation_id":"878288bd-78a0-4730-933c-224d856e5e74","resolution":{"observed_at":"2026-08-05T19:54:29.199976Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.07475","last_updated":"2024-12-10T12:46:08Z","snapshot_observed_at":"2026-08-16T13:00:17.893804Z","submitted_at":"2024-12-10T12:46:08Z","title":"Enhanced 2-categorical structures, two-dimensional limit sketches and the symmetry of internalisation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.07475","snapshot_observed_at":"2026-08-02T23:21:43.070417Z","title":"Enhanced 2-categorical structures, two- dimensional limit sketches and the symmetry of internalisation.arXiv:2412.07475,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.14332","last_updated":"2026-06-04T17:06:26Z","snapshot_observed_at":"2026-08-17T14:54:48.069085Z","submitted_at":"2026-02-15T22:58:48Z","title":"2-dimensional Lawvere theories, commutativity, and higher Day convolution","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T23:21:43.070417Z"},"links":{"cited_paper":"/paper/2412.07475","citing_paper":"/paper/2602.14332"},"observation_digest":"sha256:1654863596d827c2b7d9a81e42d8bcad0ab91830069d63b0b5ed348bf4641cbd","observation_id":"1c7b4fc5-2b54-4f14-ad06-a2ccf4bcbc95","resolution":{"observed_at":"2026-08-02T23:21:43.070417Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.07475","last_updated":"2024-12-10T12:46:08Z","snapshot_observed_at":"2026-08-16T13:00:17.893804Z","submitted_at":"2024-12-10T12:46:08Z","title":"Enhanced 2-categorical structures, two-dimensional limit sketches and the symmetry of internalisation","version":1},"cited_work":{"arxiv_id":"2412.07475","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.07475","snapshot_observed_at":"2026-07-01T13:15:45.947362Z","title":"Enhanced 2 -categorical structures, two-dimensional limit sketches and the symmetry of internalisation, 2024","venue":null,"work_id":"6f01cb20-3ab1-4d43-a80e-f707d08d729a","year":2024},"citing_paper":{"arxiv_id":"2604.03017","last_updated":"2026-04-03T13:02:04Z","snapshot_observed_at":"2026-07-06T22:52:15.263364Z","submitted_at":"2026-04-03T13:02:04Z","title":"Compositionality of Lyapunov functions via assume-guarantee reasoning","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-13T18:35:47.564184Z"},"links":{"cited_paper":"/paper/2412.07475","citing_paper":"/paper/2604.03017"},"observation_digest":"sha256:de399efda884324fab1cecf8609f38dab2ee5a4ec137f3e86c7bbf2694bd8c82","observation_id":"dde841b1-38da-4dae-9c2e-295b7dca9509","resolution":{"observed_at":"2026-05-13T18:38:07.507470Z","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":"2412.07475","last_updated":"2024-12-10T12:46:08Z","snapshot_observed_at":"2026-08-16T13:00:17.893804Z","submitted_at":"2024-12-10T12:46:08Z","title":"Enhanced 2-categorical structures, two-dimensional limit sketches and the symmetry of internalisation","version":1},"cited_work":{"arxiv_id":"2412.07475","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.07475","snapshot_observed_at":"2026-07-01T13:15:45.947362Z","title":"Enhanced 2 -categorical structures, two-dimensional limit sketches and the symmetry of internalisation, 2024","venue":null,"work_id":"6f01cb20-3ab1-4d43-a80e-f707d08d729a","year":2024},"citing_paper":{"arxiv_id":"2605.04516","last_updated":"2026-08-14T19:31:57Z","snapshot_observed_at":"2026-08-20T23:09:31.417026Z","submitted_at":"2026-05-06T05:49:02Z","title":"Enhanced $2$-categories of models of sketches as enhanced $2$-categories of algebras over monads","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-05-08T16:36:04.288905Z"},"links":{"cited_paper":"/paper/2412.07475","citing_paper":"/paper/2605.04516"},"observation_digest":"sha256:ce6926038ddcfa62f3f4a5d6ce99f360e462a876fb4a18af690c32f4d941271c","observation_id":"45a9ab00-4ba0-47c2-b827-dcd0e511b600","resolution":{"observed_at":"2026-05-11T18:06:09.210838Z","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":"2412.07475","last_updated":"2024-12-10T12:46:08Z","snapshot_observed_at":"2026-08-16T13:00:17.893804Z","submitted_at":"2024-12-10T12:46:08Z","title":"Enhanced 2-categorical structures, two-dimensional limit sketches and the symmetry of internalisation","version":1},"cited_work":{"arxiv_id":"2412.07475","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.07475","snapshot_observed_at":"2026-07-01T13:15:45.947362Z","title":"Enhanced 2 -categorical structures, two-dimensional limit sketches and the symmetry of internalisation, 2024","venue":null,"work_id":"6f01cb20-3ab1-4d43-a80e-f707d08d729a","year":2024},"citing_paper":{"arxiv_id":"2605.04516","last_updated":"2026-08-14T19:31:57Z","snapshot_observed_at":"2026-08-20T23:09:31.417026Z","submitted_at":"2026-05-06T05:49:02Z","title":"Enhanced $2$-categories of models of sketches as enhanced $2$-categories of algebras over monads","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-30T23:48:18.087365Z"},"links":{"cited_paper":"/paper/2412.07475","citing_paper":"/paper/2605.04516"},"observation_digest":"sha256:a006bdc34fba5a6f0dfe61473a651e443df212586fa0d6f1d8344bf5d7209170","observation_id":"2d976409-5cbb-4e64-b9ec-788f750f7da3","resolution":{"observed_at":"2026-07-01T13:15:45.948985Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2412.07475/citation-record","integrity":"/paper/2412.07475/integrity","json":"/paper/2412.07475/citation-record.json","paper":"/paper/2412.07475"},"outbound":[],"paper":{"arxiv_id":"2412.07475","last_updated":"2024-12-10T12:46:08Z","latest_version":1,"primary_category":"math.CT","snapshot_observed_at":"2026-08-16T13:00:17.893804Z","submitted_at":"2024-12-10T12:46:08Z","title":"Enhanced 2-categorical structures, two-dimensional limit sketches and the symmetry of internalisation"},"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 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2412.07475."}