{"as_of":"2026-08-16T10:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a9715ec3e526657b46a2c6def4c9b4e51e610433718ea593189728f1261afbe0","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":"2026-08-11T12:12:55.608878Z","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":"2026-07-03T03:57:38.340665Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.06430","last_updated":"2025-06-11T15:48:58Z","snapshot_observed_at":"2026-08-15T17:59:24.426741Z","submitted_at":"2024-11-10T11:21:39Z","title":"Arithmetic-term representations for the greatest common divisor","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.06430","snapshot_observed_at":"2026-08-11T12:12:55.608878Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.14594","last_updated":"2025-08-04T15:14:51Z","snapshot_observed_at":"2026-08-13T20:34:22.109404Z","submitted_at":"2024-12-19T07:30:46Z","title":"On arithmetic terms expressing the prime-counting function and the n-th prime","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-11T12:12:55.608878Z"},"links":{"cited_paper":"/paper/2411.06430","citing_paper":"/paper/2412.14594"},"observation_digest":"sha256:2429d8be88972725a1aabeae36ecfeb361de63e744feec6447dca65c2ff46c5d","observation_id":"b04a4ac5-869c-4153-977d-f52ba75bae71","resolution":{"observed_at":"2026-08-11T12:12:55.608878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.06430","last_updated":"2025-06-11T15:48:58Z","snapshot_observed_at":"2026-08-15T17:59:24.426741Z","submitted_at":"2024-11-10T11:21:39Z","title":"Arithmetic-term representations for the greatest common divisor","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.06430","snapshot_observed_at":"2026-08-11T10:41:55.020665Z","title":"(page 1)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.16517","last_updated":"2024-12-21T07:34:40Z","snapshot_observed_at":"2026-08-11T15:54:26.674150Z","submitted_at":"2024-12-21T07:34:40Z","title":"On non-holonomicity, transcendence and $p$-adic valuations","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:55.020665Z"},"links":{"cited_paper":"/paper/2411.06430","citing_paper":"/paper/2412.16517"},"observation_digest":"sha256:fce1de86bba1b5d4cc140fbd3161a35b248ce1bc7663302afb9a6972ddf529c4","observation_id":"5dc93509-6bc0-48ac-b361-6a77778f556a","resolution":{"observed_at":"2026-08-11T10:41:55.020665Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.06430","last_updated":"2025-06-11T15:48:58Z","snapshot_observed_at":"2026-08-15T17:59:24.426741Z","submitted_at":"2024-11-10T11:21:39Z","title":"Arithmetic-term representations for the greatest common divisor","version":2},"cited_work":{"arxiv_id":"2411.06430","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.06430","snapshot_observed_at":"2026-07-03T03:57:38.340665Z","title":"Preprint","venue":null,"work_id":"fefcb01c-486e-4c05-8383-6a4f5640fe44","year":null},"citing_paper":{"arxiv_id":"2606.09336","last_updated":"2026-06-25T13:45:11Z","snapshot_observed_at":"2026-08-16T06:04:17.665470Z","submitted_at":"2026-06-08T11:03:48Z","title":"Undecidability, Chaos and Universality in Arithmetic Terms","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-27T14:23:01.239407Z"},"links":{"cited_paper":"/paper/2411.06430","citing_paper":"/paper/2606.09336"},"observation_digest":"sha256:43c775861c24a0d38361b51aca9a347b07a4e9e225f44a19c3e9a0fdcc7a9ea4","observation_id":"789389ba-314a-4130-a607-68b9bdd2b078","resolution":{"observed_at":"2026-07-03T03:57:38.342916Z","resolver_source":"arxiv_id","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/2411.06430/citation-record","integrity":"/paper/2411.06430/integrity","json":"/paper/2411.06430/citation-record.json","paper":"/paper/2411.06430"},"outbound":[],"paper":{"arxiv_id":"2411.06430","last_updated":"2025-06-11T15:48:58Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-15T17:59:24.426741Z","submitted_at":"2024-11-10T11:21:39Z","title":"Arithmetic-term representations for the greatest common divisor"},"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:2411.06430."}