{"as_of":"2026-08-09T01:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8871b581316748faae15c5e2073523afab0720473a21c3ef088861a6b47a2c2c","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":"2026-08-08T06:32:00.761636+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":"2026-08-03T07:57:37.027740Z","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":"2026-07-03T01:27:30.775182Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.10275","last_updated":"2024-06-02T19:25:42Z","snapshot_observed_at":"2026-08-05T21:44:10.133820Z","submitted_at":"2024-05-16T17:32:11Z","title":"The Helly number of Hamming balls and related problems","version":2},"cited_work":{"arxiv_id":"2405.10275","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.10275","snapshot_observed_at":"2026-07-03T01:27:30.775182Z","title":"The Helly number of Hamming balls and related problems,","venue":null,"work_id":"ac1a4f1c-98c9-435a-9f16-e2edea210c1e","year":2024},"citing_paper":{"arxiv_id":"2606.09158","last_updated":"2026-06-08T07:48:38Z","snapshot_observed_at":"2026-08-08T00:02:40.961090Z","submitted_at":"2026-06-08T07:48:38Z","title":"The Size of the Intersection of $q$-ary Hamming Balls","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-27T16:34:03.394055Z"},"links":{"cited_paper":"/paper/2405.10275","citing_paper":"/paper/2606.09158"},"observation_digest":"sha256:40c945b826475760ec8e18d74696c8d92272084de239c683048313b69dec492d","observation_id":"b69df433-4ed8-471b-8938-1ecb287c1d84","resolution":{"observed_at":"2026-07-03T01:27:30.777103Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.10275","last_updated":"2024-06-02T19:25:42Z","snapshot_observed_at":"2026-08-05T21:44:10.133820Z","submitted_at":"2024-05-16T17:32:11Z","title":"The Helly number of Hamming balls and related problems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.10275","snapshot_observed_at":"2026-08-01T18:39:26.819710Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.17261","last_updated":"2026-07-19T14:06:04Z","snapshot_observed_at":"2026-08-06T17:27:52.388656Z","submitted_at":"2026-07-19T14:06:04Z","title":"Tight bound for the skew Hamming set-pair problem","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T18:39:26.819710Z"},"links":{"cited_paper":"/paper/2405.10275","citing_paper":"/paper/2607.17261"},"observation_digest":"sha256:071a91a5877de54cb616f39563af9447ae3b8a65b9414d0cc0a71c6222a7031c","observation_id":"5ff2d9e8-88f6-41d9-a605-ff0e19c9fabb","resolution":{"observed_at":"2026-08-01T18:39:26.819710Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.10275","last_updated":"2024-06-02T19:25:42Z","snapshot_observed_at":"2026-08-05T21:44:10.133820Z","submitted_at":"2024-05-16T17:32:11Z","title":"The Helly number of Hamming balls and related problems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.10275","snapshot_observed_at":"2026-08-03T07:57:37.027740Z","title":"The Helly number of hamming balls and related problems.arXiv preprint arXiv:2405.10275, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.29403","last_updated":"2026-07-31T13:22:12Z","snapshot_observed_at":"2026-08-06T17:12:52.523654Z","submitted_at":"2026-07-31T13:22:12Z","title":"Strong invariants and Tverberg numbers in convexity spaces","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T07:57:37.027740Z"},"links":{"cited_paper":"/paper/2405.10275","citing_paper":"/paper/2607.29403"},"observation_digest":"sha256:7ae9b0e59d82d2d18bd390a2379051064dfd6abc771d8174ac3389d76af5eabb","observation_id":"87a22473-a5d8-4c9d-8e4e-f921ec9e45f6","resolution":{"observed_at":"2026-08-03T07:57:37.027740Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2405.10275/citation-record","integrity":"/paper/2405.10275/integrity","json":"/paper/2405.10275/citation-record.json","paper":"/paper/2405.10275"},"outbound":[],"paper":{"arxiv_id":"2405.10275","last_updated":"2024-06-02T19:25:42Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-05T21:44:10.133820Z","submitted_at":"2024-05-16T17:32:11Z","title":"The Helly number of Hamming balls and related problems"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2405.10275."}