{"as_of":"2026-08-16T11:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a3c81a937cfd68651ecdd9db95a0b2c5150632e19e73a314fb2bcb611cd0bc0b","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:49:27.062796Z","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":"2026-08-14T13:22:32.380203Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1808.04642","last_updated":"2024-01-16T13:19:01Z","snapshot_observed_at":"2026-08-14T18:41:22.868617Z","submitted_at":"2018-08-14T11:42:14Z","title":"Algebraic proof theory for LE-logics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1808.04642","snapshot_observed_at":"2026-08-14T13:49:27.062796Z","title":"Greco, P","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.04816","last_updated":"2019-08-13T18:42:05Z","snapshot_observed_at":"2026-08-15T18:52:59.026157Z","submitted_at":"2019-08-13T18:42:05Z","title":"The logic of vague categories","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:49:27.062796Z"},"links":{"cited_paper":"/paper/1808.04642","citing_paper":"/paper/1908.04816"},"observation_digest":"sha256:bef15268a511f50d58fcc35416e962dd0d736ff1142f17b43b4121d828fa5f3a","observation_id":"66e90580-a63e-404f-a85f-a44b80122cd7","resolution":{"observed_at":"2026-08-14T13:49:27.062796Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1808.04642","last_updated":"2024-01-16T13:19:01Z","snapshot_observed_at":"2026-08-14T18:41:22.868617Z","submitted_at":"2018-08-14T11:42:14Z","title":"Algebraic proof theory for LE-logics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1808.04642","snapshot_observed_at":"2026-08-14T13:40:11.833107Z","title":"Greco, P","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.04817","last_updated":"2019-08-13T18:43:14Z","snapshot_observed_at":"2026-08-14T16:15:52.090481Z","submitted_at":"2019-08-13T18:43:14Z","title":"Modelling socio-political competition","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:40:11.833107Z"},"links":{"cited_paper":"/paper/1808.04642","citing_paper":"/paper/1908.04817"},"observation_digest":"sha256:8dd4d0ed14cd4ec137aa835dabb18a469f8bf0a46319ffb84c3f2c4fda14d7e5","observation_id":"edfff31e-7c0d-4ed2-bf43-34e4f78664b1","resolution":{"observed_at":"2026-08-14T13:40:11.833107Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1808.04642","last_updated":"2024-01-16T13:19:01Z","snapshot_observed_at":"2026-08-14T18:41:22.868617Z","submitted_at":"2018-08-14T11:42:14Z","title":"Algebraic proof theory for LE-logics","version":2},"cited_work":{"arxiv_id":"1808.04642","doi":null,"metadata_source":"pith","pith_arxiv_id":"1808.04642","snapshot_observed_at":"2026-08-14T13:22:32.380203Z","title":"Algebraic proof theory for LE-logics","venue":"math.LO","work_id":"3dca62fa-7e11-46f8-b2f5-4b8852498835","year":2018},"citing_paper":{"arxiv_id":"1908.05528","last_updated":"2021-05-12T11:30:37Z","snapshot_observed_at":"2026-08-15T05:39:53.875417Z","submitted_at":"2019-08-15T13:26:44Z","title":"Vector spaces as Kripke frames","version":4},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:32.218709Z"},"links":{"cited_paper":"/paper/1808.04642","citing_paper":"/paper/1908.05528"},"observation_digest":"sha256:004f6f4f1e23beb4f654612c4ad21a8956f13cbaa38caf3017190508b10f4366","observation_id":"fbb6819f-52a3-4025-98c4-70645b7f6fb9","resolution":{"observed_at":"2026-08-14T13:22:32.385741Z","resolver_source":"local_arxiv","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"}}],"links":{"evidence":"/evidence","html":"/paper/1808.04642/citation-record","integrity":"/paper/1808.04642/integrity","json":"/paper/1808.04642/citation-record.json","paper":"/paper/1808.04642"},"outbound":[],"paper":{"arxiv_id":"1808.04642","last_updated":"2024-01-16T13:19:01Z","latest_version":2,"primary_category":"math.LO","snapshot_observed_at":"2026-08-14T18:41:22.868617Z","submitted_at":"2018-08-14T11:42:14Z","title":"Algebraic proof theory for LE-logics"},"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":"2026-08-16T06:30:59.297886+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 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1808.04642."}