{"as_of":"2026-08-17T17:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7633002a9f4d50dcffd060490cdb86df8ae7d6694470a59bcceae44debe975c6","coverage":[{"denominator":4,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T12:01:00.938012Z","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":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2501.16633/citation-record","integrity":"/paper/2501.16633/integrity","json":"/paper/2501.16633/citation-record.json","paper":"/paper/2501.16633"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/jsl.2021.7","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T12:01:01.030998Z","title":"and Sain, I","venue":null,"work_id":"ef125785-7599-46d4-811d-dd8f060d79f1","year":2022},"citing_paper":{"arxiv_id":"2501.16633","last_updated":"2025-01-28T02:13:39Z","snapshot_observed_at":"2026-08-14T09:34:43.983030Z","submitted_at":"2025-01-28T02:13:39Z","title":"On variable non-dependence of first-order formulas","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T12:01:00.921714Z"},"links":{"citing_paper":"/paper/2501.16633"},"observation_digest":"sha256:aa8a1275d969ad7be229ce6c12f481f6773ffbd1646a461a55645129189c931e","observation_id":"515c0440-52ba-449d-af99-7cfc704c2434","resolution":{"observed_at":"2026-08-10T12:01:01.035947Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.15932","last_updated":"2024-06-22T20:28:35Z","snapshot_observed_at":"2026-08-16T13:40:28.372451Z","submitted_at":"2024-06-22T20:28:35Z","title":"Are General Relativity and Teleparallel Gravity Theoretically Equivalent?","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.15932","snapshot_observed_at":"2026-08-10T12:01:00.938012Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2501.16633","last_updated":"2025-01-28T02:13:39Z","snapshot_observed_at":"2026-08-14T09:34:43.983030Z","submitted_at":"2025-01-28T02:13:39Z","title":"On variable non-dependence of first-order formulas","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T12:01:00.938012Z"},"links":{"cited_paper":"/paper/2406.15932","citing_paper":"/paper/2501.16633"},"observation_digest":"sha256:884b19430e7dcd3d99ca63c7c58f648a61f162aa5231fb4ea3c00d5fa40c5753","observation_id":"83db68c4-aa19-4f16-a286-8240ce0998a9","resolution":{"observed_at":"2026-08-10T12:01:00.938012Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.07060","last_updated":"2019-12-15T15:31:45Z","snapshot_observed_at":"2026-08-13T02:13:37.634883Z","submitted_at":"2019-12-15T15:31:45Z","title":"One-Shot Induction of Generalized Logical Concepts via Human Guidance","version":1},"cited_work":{"arxiv_id":"1912.07060","doi":null,"metadata_source":"pith","pith_arxiv_id":"1912.07060","snapshot_observed_at":"2026-08-10T12:01:01.012560Z","title":"One-Shot Induction of Generalized Logical Concepts via Human Guidance","venue":"cs.AI","work_id":"b0c5fd6b-133b-4660-a8b2-6155b0cf195d","year":2019},"citing_paper":{"arxiv_id":"2501.16633","last_updated":"2025-01-28T02:13:39Z","snapshot_observed_at":"2026-08-14T09:34:43.983030Z","submitted_at":"2025-01-28T02:13:39Z","title":"On variable non-dependence of first-order formulas","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T12:01:00.927192Z"},"links":{"cited_paper":"/paper/1912.07060","citing_paper":"/paper/2501.16633"},"observation_digest":"sha256:28798c954275abf4b5f18d8aa9e01c47b84c8517d55bbd3b8b191c496ef3d17d","observation_id":"d0a526b7-ceab-4297-847d-6c955b5ba0be","resolution":{"observed_at":"2026-08-10T12:01:01.019160Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1215/00294527-2022-0029","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T12:01:00.987920Z","title":"and Sz´ ekely, G","venue":null,"work_id":"0575bee2-dcec-4881-b195-b416b2f4fb85","year":2021},"citing_paper":{"arxiv_id":"2501.16633","last_updated":"2025-01-28T02:13:39Z","snapshot_observed_at":"2026-08-14T09:34:43.983030Z","submitted_at":"2025-01-28T02:13:39Z","title":"On variable non-dependence of first-order formulas","version":1},"reference_index":550,"source":"pdf_text","source_observed_at":"2026-08-10T12:01:00.933040Z"},"links":{"citing_paper":"/paper/2501.16633"},"observation_digest":"sha256:1d23293ed8c0a6cffb92a8909d2432ed15bf6242da545c1b28377ee7c2dbc140","observation_id":"40f9a468-d4f7-42de-ae48-d074fc3ccc2d","resolution":{"observed_at":"2026-08-10T12:01:00.994467Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.16633","last_updated":"2025-01-28T02:13:39Z","latest_version":1,"primary_category":"math.LO","snapshot_observed_at":"2026-08-14T09:34:43.983030Z","submitted_at":"2025-01-28T02:13:39Z","title":"On variable non-dependence of first-order formulas"},"reference_resolution":{"displayed":4,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":3,"verified_fuzzy":0},"total_outbound_references":4},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2501.16633."}