{"as_of":"2026-08-20T03:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c34f8f8cb7fd2c3d69071decb686a854ba4d459a587b6e0d3cb3ea0e2cc84b54","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":"2026-08-19T06:32:44.657259+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":"2026-08-15T23:20:23.517163Z","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":"2026-08-12T10:46:31.553450Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2401.15345","last_updated":"2025-01-08T12:31:22Z","snapshot_observed_at":"2026-08-19T21:11:17.333799Z","submitted_at":"2024-01-27T08:31:38Z","title":"The groups $G_{n}^{k}$ and $2n$-gon tilings","version":3},"cited_work":{"arxiv_id":"2401.15345","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.15345","snapshot_observed_at":"2026-08-12T10:46:31.553450Z","title":"The groups $G_{n}^{k}$ and $2n$-gon tilings","venue":"math.GT","work_id":"a82311eb-df04-4162-a92d-c9a6828f08ad","year":2024},"citing_paper":{"arxiv_id":"2411.18991","last_updated":"2024-11-28T08:43:01Z","snapshot_observed_at":"2026-08-19T18:43:15.463552Z","submitted_at":"2024-11-28T08:43:01Z","title":"Octagon and tropical octagon yield braid invariants","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T10:46:31.463925Z"},"links":{"cited_paper":"/paper/2401.15345","citing_paper":"/paper/2411.18991"},"observation_digest":"sha256:b2585f2703aceddb9837c9c7e8a44f4d2e7837225c53e25599cdc17ebe2b1e4f","observation_id":"ddaf61ca-b748-4565-aa0f-754cded647bd","resolution":{"observed_at":"2026-08-12T10:46:31.557302Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.15345","last_updated":"2025-01-08T12:31:22Z","snapshot_observed_at":"2026-08-19T21:11:17.333799Z","submitted_at":"2024-01-27T08:31:38Z","title":"The groups $G_{n}^{k}$ and $2n$-gon tilings","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.15345","snapshot_observed_at":"2026-08-15T23:20:23.517163Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.06309","last_updated":"2025-05-08T11:51:58Z","snapshot_observed_at":"2026-08-19T13:06:19.987922Z","submitted_at":"2025-05-08T11:51:58Z","title":"Shear coordinates and braid invariants","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T23:20:23.517163Z"},"links":{"cited_paper":"/paper/2401.15345","citing_paper":"/paper/2505.06309"},"observation_digest":"sha256:50509ac47a91491c50ac280dd11b8a6c4659767696e1d546ec5b759ae325dce1","observation_id":"208ae557-7849-4d66-abe5-213331f3c1cc","resolution":{"observed_at":"2026-08-15T23:20:23.517163Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2401.15345/citation-record","integrity":"/paper/2401.15345/integrity","json":"/paper/2401.15345/citation-record.json","paper":"/paper/2401.15345"},"outbound":[],"paper":{"arxiv_id":"2401.15345","last_updated":"2025-01-08T12:31:22Z","latest_version":3,"primary_category":"math.GT","snapshot_observed_at":"2026-08-19T21:11:17.333799Z","submitted_at":"2024-01-27T08:31:38Z","title":"The groups $G_{n}^{k}$ and $2n$-gon tilings"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2401.15345."}