{"as_of":"2026-08-11T21:00:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:62c68e97226cd388e53737379df83a02efec65ec5754c369b58fd7a387fb5342","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T05:04:33.489550Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":12,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1406.5942","last_updated":"2015-08-19T08:31:21Z","snapshot_observed_at":"2026-08-07T01:31:53.609298Z","submitted_at":"2014-06-23T15:25:28Z","title":"Finite matrices are complete for (dagger-)hypergraph categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1406.5942","snapshot_observed_at":"2026-08-08T05:04:33.489550Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.08497","last_updated":"2025-02-12T15:32:52Z","snapshot_observed_at":"2026-08-11T01:19:44.383540Z","submitted_at":"2025-02-12T15:32:52Z","title":"Foundations of Digital Circuits: Denotation, Operational, and Algebraic Semantics","version":1},"reference_index":2015,"source":"pdf_text","source_observed_at":"2026-08-08T05:04:33.489550Z"},"links":{"cited_paper":"/paper/1406.5942","citing_paper":"/paper/2502.08497"},"observation_digest":"sha256:af507a2166093ea9d9c8b2393b9c3c144c5d3738e8e40f8363cc950ed3531f77","observation_id":"e2d192ec-0bf5-440e-9efa-c798f39e02f3","resolution":{"observed_at":"2026-08-08T05:04:33.489550Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1406.5942","last_updated":"2015-08-19T08:31:21Z","snapshot_observed_at":"2026-08-07T01:31:53.609298Z","submitted_at":"2014-06-23T15:25:28Z","title":"Finite matrices are complete for (dagger-)hypergraph categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1406.5942","snapshot_observed_at":"2026-08-04T14:52:24.476341Z","title":"Kissinger, Finite matrices are complete for (dagger-)hypergraph categories","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.22584","last_updated":"2026-07-24T13:29:15Z","snapshot_observed_at":"2026-08-06T13:56:17.301821Z","submitted_at":"2025-09-26T17:04:14Z","title":"Double Categories of Open Systems: the Cospan Approach","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-04T14:52:24.476341Z"},"links":{"cited_paper":"/paper/1406.5942","citing_paper":"/paper/2509.22584"},"observation_digest":"sha256:b1b052ed2c5f05325202e357c7395f478423971ce304966148d4bb831cc7df6e","observation_id":"87dd7697-7a8d-497a-a8f9-cdbb707141a5","resolution":{"observed_at":"2026-08-04T14:52:24.476341Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1406.5942","last_updated":"2015-08-19T08:31:21Z","snapshot_observed_at":"2026-08-07T01:31:53.609298Z","submitted_at":"2014-06-23T15:25:28Z","title":"Finite matrices are complete for (dagger-)hypergraph categories","version":2},"cited_work":{"arxiv_id":"1406.5942","doi":"10.48550/arxiv.1406.5942","metadata_source":"arxiv_reference","pith_arxiv_id":"1406.5942","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"doi:10.48550/arXiv.1406.5942 , urldate =","venue":"arXiv (Cornell University)","work_id":"440609b3-5707-4bbd-bae8-26e199385dfa","year":null},"citing_paper":{"arxiv_id":"2604.25321","last_updated":"2026-04-28T07:36:44Z","snapshot_observed_at":"2026-07-06T23:11:11.827339Z","submitted_at":"2026-04-28T07:36:44Z","title":"Fixed-parameter tractable inference for discrete probabilistic programs, via string diagram algebraisation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-07T15:29:19.489764Z"},"links":{"cited_paper":"/paper/1406.5942","citing_paper":"/paper/2604.25321"},"observation_digest":"sha256:3a3a0e7093091b4d6761101cb7bf37bfa82d5e26bf83b2a39426fc3911c4f6b7","observation_id":"cac9e13f-7927-4bc2-9138-cd477c4ddb94","resolution":{"observed_at":"2026-07-04T20:31:53.480513Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1406.5942","last_updated":"2015-08-19T08:31:21Z","snapshot_observed_at":"2026-08-07T01:31:53.609298Z","submitted_at":"2014-06-23T15:25:28Z","title":"Finite matrices are complete for (dagger-)hypergraph categories","version":2},"cited_work":{"arxiv_id":"1406.5942","doi":"10.48550/arxiv.1406.5942","metadata_source":"arxiv_reference","pith_arxiv_id":"1406.5942","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"doi:10.48550/arXiv.1406.5942 , urldate =","venue":"arXiv (Cornell University)","work_id":"440609b3-5707-4bbd-bae8-26e199385dfa","year":null},"citing_paper":{"arxiv_id":"2605.08934","last_updated":"2026-06-16T20:17:16Z","snapshot_observed_at":"2026-08-11T08:05:03.537052Z","submitted_at":"2026-05-09T13:08:07Z","title":"From Mechanistic to Compositional Interpretability","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-05-12T02:42:26.173782Z"},"links":{"cited_paper":"/paper/1406.5942","citing_paper":"/paper/2605.08934"},"observation_digest":"sha256:9dabd12c793f9b85addecf06bd2da166200a5639dbf873c849a46b56ec08392e","observation_id":"6e9cf637-5682-4da2-9700-a75f1ce8f36d","resolution":{"observed_at":"2026-07-04T20:31:53.480513Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1406.5942/citation-record","integrity":"/paper/1406.5942/integrity","json":"/paper/1406.5942/citation-record.json","paper":"/paper/1406.5942"},"outbound":[],"paper":{"arxiv_id":"1406.5942","last_updated":"2015-08-19T08:31:21Z","latest_version":2,"primary_category":"math.CT","snapshot_observed_at":"2026-08-07T01:31:53.609298Z","submitted_at":"2014-06-23T15:25:28Z","title":"Finite matrices are complete for (dagger-)hypergraph 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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1406.5942."}