{"as_of":"2026-08-13T02:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5ecd45294569d262d5d019346ffce5421cd616f9862defa0ad01b393d3a933a5","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":"2026-08-12T06:34:41.77262+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":"2026-08-12T13:56:10.827979Z","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":"2026-08-12T13:55:00.344129Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2406.09075","last_updated":"2024-06-13T12:58:47Z","snapshot_observed_at":"2026-08-13T01:04:23.704945Z","submitted_at":"2024-06-13T12:58:47Z","title":"Strong External Difference Families and Classification of $\\alpha$-valuations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.09075","snapshot_observed_at":"2026-08-12T13:56:10.827979Z","title":"Kreher, M.B","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.15884","last_updated":"2025-01-28T14:28:22Z","snapshot_observed_at":"2026-08-12T13:44:35.093369Z","submitted_at":"2024-11-24T15:50:07Z","title":"Near-factorizations of dihedral groups","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T13:56:10.827979Z"},"links":{"cited_paper":"/paper/2406.09075","citing_paper":"/paper/2411.15884"},"observation_digest":"sha256:825e12fb7b3b7860c61f104aba63279d51a1321aa0ce17fde575f741fdc6aff3","observation_id":"acce7e8c-bf18-40d5-81b6-111e152c4c84","resolution":{"observed_at":"2026-08-12T13:56:10.827979Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.09075","last_updated":"2024-06-13T12:58:47Z","snapshot_observed_at":"2026-08-13T01:04:23.704945Z","submitted_at":"2024-06-13T12:58:47Z","title":"Strong External Difference Families and Classification of $\\alpha$-valuations","version":1},"cited_work":{"arxiv_id":"2406.09075","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.09075","snapshot_observed_at":"2026-08-12T13:55:00.344129Z","title":"Strong External Difference Families and Classification of $\\alpha$-valuations","venue":"math.CO","work_id":"9cd1c2bd-4817-456c-b945-95714b01d83b","year":2024},"citing_paper":{"arxiv_id":"2411.15890","last_updated":"2024-11-24T15:56:55Z","snapshot_observed_at":"2026-08-12T16:40:54.353065Z","submitted_at":"2024-11-24T15:56:55Z","title":"Uniqueness and explicit computation of mates in near-factorizations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T13:55:00.281004Z"},"links":{"cited_paper":"/paper/2406.09075","citing_paper":"/paper/2411.15890"},"observation_digest":"sha256:42dcc8f44d33f92f7fe475b12497f56c05ecacf85f5d115e8cd0fa060438be8d","observation_id":"8ed01eed-6df0-4d9a-847f-e57b97b02a2a","resolution":{"observed_at":"2026-08-12T13:55:00.350269Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2406.09075/citation-record","integrity":"/paper/2406.09075/integrity","json":"/paper/2406.09075/citation-record.json","paper":"/paper/2406.09075"},"outbound":[],"paper":{"arxiv_id":"2406.09075","last_updated":"2024-06-13T12:58:47Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-13T01:04:23.704945Z","submitted_at":"2024-06-13T12:58:47Z","title":"Strong External Difference Families and Classification of $\\alpha$-valuations"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2406.09075."}