{"as_of":"2026-08-14T03:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2f15b96ebb71fe99133ad070d83d534e62328cb25da0772d6678ae8411a3e90d","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":"2026-08-13T06:32:02.005865+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":"2026-08-11T15:56:09.244777Z","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":"2026-08-07T00:53:27.004641Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.02196","last_updated":"2024-08-05T02:45:00Z","snapshot_observed_at":"2026-08-12T23:08:45.531524Z","submitted_at":"2024-08-05T02:45:00Z","title":"Undecidability of Translational Tiling of the 3-dimensional Space with a Set of 6 Polycubes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.02196","snapshot_observed_at":"2026-08-11T15:56:09.244777Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.10646","last_updated":"2024-12-14T02:23:52Z","snapshot_observed_at":"2026-08-11T22:57:02.227748Z","submitted_at":"2024-12-14T02:23:52Z","title":"Undecidability of Translational Tiling with Three Tiles","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T15:56:09.244777Z"},"links":{"cited_paper":"/paper/2408.02196","citing_paper":"/paper/2412.10646"},"observation_digest":"sha256:6e24764364136c17f8a703ab7f412ee6f34f681b05864053df6eaaa33da1e047","observation_id":"ab206487-df39-42a3-a0be-615b22e0914e","resolution":{"observed_at":"2026-08-11T15:56:09.244777Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.02196","last_updated":"2024-08-05T02:45:00Z","snapshot_observed_at":"2026-08-12T23:08:45.531524Z","submitted_at":"2024-08-05T02:45:00Z","title":"Undecidability of Translational Tiling of the 3-dimensional Space with a Set of 6 Polycubes","version":1},"cited_work":{"arxiv_id":"2408.02196","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.02196","snapshot_observed_at":"2026-08-07T00:53:27.004641Z","title":"Undecidability of Translational Tiling of the 3-dimensional Space with a Set of 6 Polycubes","venue":"math.CO","work_id":"e174d864-0dae-4b2a-9056-2785e85a1f77","year":2024},"citing_paper":{"arxiv_id":"2506.12726","last_updated":"2025-06-15T05:35:09Z","snapshot_observed_at":"2026-08-13T17:45:34.244855Z","submitted_at":"2025-06-15T05:35:09Z","title":"Undecidability of Translational Tiling of the Plane with Orthogonally Convex Polyominoes","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T00:53:25.946207Z"},"links":{"cited_paper":"/paper/2408.02196","citing_paper":"/paper/2506.12726"},"observation_digest":"sha256:e95f8d21709728fd8c5d93f0f2d8ef61a64a6e8dd0f43ccb82478824ef2a26f1","observation_id":"1014eed6-4d15-4338-b038-d262eeceabcd","resolution":{"observed_at":"2026-08-07T00:53:27.104278Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2408.02196/citation-record","integrity":"/paper/2408.02196/integrity","json":"/paper/2408.02196/citation-record.json","paper":"/paper/2408.02196"},"outbound":[],"paper":{"arxiv_id":"2408.02196","last_updated":"2024-08-05T02:45:00Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-12T23:08:45.531524Z","submitted_at":"2024-08-05T02:45:00Z","title":"Undecidability of Translational Tiling of the 3-dimensional Space with a Set of 6 Polycubes"},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2408.02196."}