{"as_of":"2026-08-08T04:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:df26c18251e9a2b55604a02ca47eb9dd6de2a1126227a8398267e3c782ea6edd","coverage":[{"denominator":6,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:39:47.369144Z","state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T09:01:55.216899Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.07638","last_updated":"2025-06-09T11:03:53Z","snapshot_observed_at":"2026-08-07T05:26:42.200260Z","submitted_at":"2025-06-09T11:03:53Z","title":"A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.07638","snapshot_observed_at":"2026-08-03T09:01:55.216899Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2601.15179","last_updated":"2026-07-23T14:51:16Z","snapshot_observed_at":"2026-08-03T09:01:52.006864Z","submitted_at":"2026-01-21T16:55:58Z","title":"Role of (periodic as well as aperiodic) tessellations in contemporary composition. The cases of Tesselles sonores and Le Chapeau \\`a douze cornes by Marisa Acu\\~na","version":4},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T09:01:55.216899Z"},"links":{"cited_paper":"/paper/2506.07638","citing_paper":"/paper/2601.15179"},"observation_digest":"sha256:a21ee563d098eefaecce69e5deb1086149f3c18ec4ec4574e7e8c9984adad756","observation_id":"acefc58c-933e-44e8-b93f-68daf19cdbd0","resolution":{"observed_at":"2026-08-03T09:01:55.216899Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.07638/citation-record","integrity":"/paper/2506.07638/integrity","json":"/paper/2506.07638/citation-record.json","paper":"/paper/2506.07638"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:39:47.438042Z","title":null,"venue":null,"work_id":"7b52f31d-a4e9-4462-af40-e14d896a673d","year":2016},"citing_paper":{"arxiv_id":"2506.07638","last_updated":"2025-06-09T11:03:53Z","snapshot_observed_at":"2026-08-07T05:26:42.200260Z","submitted_at":"2025-06-09T11:03:53Z","title":"A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T05:39:47.352183Z"},"links":{"citing_paper":"/paper/2506.07638"},"observation_digest":"sha256:30f2d1ca5e16ea11c8d176b3a47e77d7e7469df27c0c6ae9c7ebef922807f87d","observation_id":"6db1ed5b-ddc4-4f04-bd50-56a3210e991a","resolution":{"observed_at":"2026-08-07T05:39:47.441226Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:39:47.430216Z","title":"Pentaplexity: A class of non-periodic tilings of the plane.The Mathe- matical Intelligencer, 2:32–37, 1979","venue":null,"work_id":"42f53670-75e3-4b4d-8e77-b7a732d3ce11","year":1979},"citing_paper":{"arxiv_id":"2506.07638","last_updated":"2025-06-09T11:03:53Z","snapshot_observed_at":"2026-08-07T05:26:42.200260Z","submitted_at":"2025-06-09T11:03:53Z","title":"A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T05:39:47.356128Z"},"links":{"citing_paper":"/paper/2506.07638"},"observation_digest":"sha256:d4ca04fdd05e3b1d6fcab537a860afbb81a3c229024661616e433616ad3b110b","observation_id":"d4aa5986-6b14-40a3-927c-c31a3ccfc239","resolution":{"observed_at":"2026-08-07T05:39:47.432916Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:39:47.422305Z","title":"Kaplan, and Chaim Goodman-Strauss","venue":null,"work_id":"c3a51e00-8600-4cb7-b119-df0cb9cdf893","year":2024},"citing_paper":{"arxiv_id":"2506.07638","last_updated":"2025-06-09T11:03:53Z","snapshot_observed_at":"2026-08-07T05:26:42.200260Z","submitted_at":"2025-06-09T11:03:53Z","title":"A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T05:39:47.359350Z"},"links":{"citing_paper":"/paper/2506.07638"},"observation_digest":"sha256:d691e8800e5c73614e76cc05d791c26716b212138170e7f9b83109c6e621fff5","observation_id":"ab04fcbb-6a02-4ad1-96d7-e4f9b65a175b","resolution":{"observed_at":"2026-08-07T05:39:47.424766Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:39:47.414170Z","title":"Kaplan, and Chaim Goodman-Strauss","venue":null,"work_id":"71a8e37b-ce78-4b49-9d4e-3535866ed8b8","year":2024},"citing_paper":{"arxiv_id":"2506.07638","last_updated":"2025-06-09T11:03:53Z","snapshot_observed_at":"2026-08-07T05:26:42.200260Z","submitted_at":"2025-06-09T11:03:53Z","title":"A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T05:39:47.362451Z"},"links":{"citing_paper":"/paper/2506.07638"},"observation_digest":"sha256:f947bd8df483b5bdf0b431527f8611a71c5e18ca9509b9b8f3a15ed7abec89a4","observation_id":"1b538424-e238-4c6a-858b-e44c5a56b181","resolution":{"observed_at":"2026-08-07T05:39:47.416793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:39:47.402945Z","title":"Zur Zerlegung der Umgebung eines ebenen Bereiches in kongruente","venue":null,"work_id":"dc9ad347-9a28-4e9b-b4f4-0c85ea6feaed","year":1936},"citing_paper":{"arxiv_id":"2506.07638","last_updated":"2025-06-09T11:03:53Z","snapshot_observed_at":"2026-08-07T05:26:42.200260Z","submitted_at":"2025-06-09T11:03:53Z","title":"A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T05:39:47.365555Z"},"links":{"citing_paper":"/paper/2506.07638"},"observation_digest":"sha256:d5604cc986cb74b683f5a86fa12ca934e4fd96fbc012797769f92637f46ae257","observation_id":"09832199-d94e-4a43-9af9-44261464dd48","resolution":{"observed_at":"2026-08-07T05:39:47.406699Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:39:47.391827Z","title":"Spiral tilings","venue":null,"work_id":"6d36f5fe-4947-4b9f-8aa0-62a11dbe1084","year":2000},"citing_paper":{"arxiv_id":"2506.07638","last_updated":"2025-06-09T11:03:53Z","snapshot_observed_at":"2026-08-07T05:26:42.200260Z","submitted_at":"2025-06-09T11:03:53Z","title":"A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T05:39:47.369144Z"},"links":{"citing_paper":"/paper/2506.07638"},"observation_digest":"sha256:e7d03f4c6058b50b390bacd6da188df44e9b1470432d739e8ad457b76bff32f7","observation_id":"2adae106-81cb-4405-a3cc-500db8a59cdf","resolution":{"observed_at":"2026-08-07T05:39:47.396051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.07638","last_updated":"2025-06-09T11:03:53Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-07T05:26:42.200260Z","submitted_at":"2025-06-09T11:03:53Z","title":"A Family of Non-Periodic Tilings, Describable Using Elementary Tools and Exhibiting a New Kind of Structural Regularity"},"reference_resolution":{"displayed":6,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":0,"verified_fuzzy":5},"total_outbound_references":6},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 1 inbound Pith citation observation for arXiv:2506.07638."}