{"as_of":"2026-08-14T07:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2e051ee87ebf40b880f3b08ec93d90bae136fd8c643c3f264afcfcffbd661343","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T05:56:44.059918Z","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":"2026-08-12T05:56:42.774792Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.18645","last_updated":"2025-06-30T03:18:35Z","snapshot_observed_at":"2026-08-12T23:55:40.256869Z","submitted_at":"2024-05-28T23:07:16Z","title":"Facets of module theory over semirings","version":3},"cited_work":{"arxiv_id":"2405.18645","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.18645","snapshot_observed_at":"2026-08-12T05:56:42.774792Z","title":"Facets of module theory over semirings","venue":"math.AG","work_id":"233a6c40-5ea8-4b8f-bab3-eac0150c23a1","year":2024},"citing_paper":{"arxiv_id":"2411.19883","last_updated":"2025-02-14T18:24:17Z","snapshot_observed_at":"2026-08-12T05:40:42.463146Z","submitted_at":"2024-11-29T17:48:59Z","title":"Representation theory over semifields","version":3},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-12T05:56:42.620166Z"},"links":{"cited_paper":"/paper/2405.18645","citing_paper":"/paper/2411.19883"},"observation_digest":"sha256:e008bcc20c9b81e84ebc56a55c599f458a642ece8afea3c7ed4ff79a1b111fbf","observation_id":"c19333ae-c98c-4a68-9505-a325a3d11197","resolution":{"observed_at":"2026-08-12T05:56:42.779742Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.18645","last_updated":"2025-06-30T03:18:35Z","snapshot_observed_at":"2026-08-12T23:55:40.256869Z","submitted_at":"2024-05-28T23:07:16Z","title":"Facets of module theory over semirings","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.18645","snapshot_observed_at":"2026-08-12T05:56:44.059918Z","title":"Facets of module theory over semirings","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.19889","last_updated":"2024-11-29T17:54:59Z","snapshot_observed_at":"2026-08-12T05:40:16.924946Z","submitted_at":"2024-11-29T17:54:59Z","title":"Tropical representations and valuated matroids","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-12T05:56:44.059918Z"},"links":{"cited_paper":"/paper/2405.18645","citing_paper":"/paper/2411.19889"},"observation_digest":"sha256:f7c4858cd6628b74be7763445686820037483560e328c07500e2511f8ebbb585","observation_id":"4eeca2ab-dbfe-4af2-a2b2-2ae4109b2ae4","resolution":{"observed_at":"2026-08-12T05:56:44.059918Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2405.18645/citation-record","integrity":"/paper/2405.18645/integrity","json":"/paper/2405.18645/citation-record.json","paper":"/paper/2405.18645"},"outbound":[],"paper":{"arxiv_id":"2405.18645","last_updated":"2025-06-30T03:18:35Z","latest_version":3,"primary_category":"math.AG","snapshot_observed_at":"2026-08-12T23:55:40.256869Z","submitted_at":"2024-05-28T23:07:16Z","title":"Facets of module theory over semirings"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2405.18645."}