{"as_of":"2026-08-18T17:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fcca2acdf319a719fd3c57d28ceeee447dbd478d43105fe0e30a40bc7f35a334","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T07:51:00.852427Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":[],"links":{"evidence":"/evidence","html":"/paper/2607.21348/citation-record","integrity":"/paper/2607.21348/integrity","json":"/paper/2607.21348/citation-record.json","paper":"/paper/2607.21348"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1805.09650","last_updated":"2019-07-15T13:20:25Z","snapshot_observed_at":"2026-08-18T04:08:51.972923Z","submitted_at":"2018-05-24T13:12:22Z","title":"Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.09650","snapshot_observed_at":"2026-08-01T07:50:59.039249Z","title":"Baake, F","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T07:50:59.039249Z"},"links":{"cited_paper":"/paper/1805.09650","citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:576149c4e15a92f67cbaa3c2901adf83d43c3a85a9d0c218f7f87d1a9aab1d49","observation_id":"ed952239-8642-48ff-8a4d-4be1ced9ecd2","resolution":{"observed_at":"2026-08-01T07:50:59.039249Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:50:59.146818Z","title":"Baake and U","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T07:50:59.146818Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:8d48c6547af4ad924fb1746d9b84756ff36e1cbb0a72afbabd61921635af70a3","observation_id":"1641ad23-5833-41d4-9fe8-5ceed7f2fae7","resolution":{"observed_at":"2026-08-01T07:50:59.146818Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:50:59.251785Z","title":"Baake, P","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T07:50:59.251785Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:7076c406e9095b087dc896e7a94d53dc006bfc4d149b0cae1ddc64931350f08a","observation_id":"cf943548-40cb-443f-ba5e-294def204394","resolution":{"observed_at":"2026-08-01T07:50:59.251785Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1612.05374","last_updated":"2017-01-16T17:09:53Z","snapshot_observed_at":"2026-08-14T21:25:10.643114Z","submitted_at":"2016-12-16T05:42:01Z","title":"Mutation of friezes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1612.05374","snapshot_observed_at":"2026-08-01T07:50:59.357015Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T07:50:59.357015Z"},"links":{"cited_paper":"/paper/1612.05374","citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:71978f8c879d863dbd6033fe3bdfea8e4b423afc6607164fc7a3c1bfdd7cb421","observation_id":"131fdb69-332b-4e73-b564-a78e6b59cedb","resolution":{"observed_at":"2026-08-01T07:50:59.357015Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1008.5329","last_updated":"2013-01-22T11:24:23Z","snapshot_observed_at":"2026-08-18T08:41:48.868536Z","submitted_at":"2010-08-31T14:44:31Z","title":"Categorification of a frieze pattern determinant","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1008.5329","snapshot_observed_at":"2026-08-01T07:50:59.417007Z","title":"Baur, B.R","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T07:50:59.417007Z"},"links":{"cited_paper":"/paper/1008.5329","citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:fb434fde6eb3a10b22d4820bb584e87b53f2bbff92564cc2719c57ff472fb085","observation_id":"6d1aae41-bf46-403f-8f76-d9ffb883140e","resolution":{"observed_at":"2026-08-01T07:50:59.417007Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1504.02695","last_updated":"2015-04-10T14:44:59Z","snapshot_observed_at":"2026-08-14T22:52:52.848095Z","submitted_at":"2015-04-10T14:44:59Z","title":"Infinite friezes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1504.02695","snapshot_observed_at":"2026-08-01T07:50:59.495711Z","title":"Baur, M.J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T07:50:59.495711Z"},"links":{"cited_paper":"/paper/1504.02695","citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:9be1b381d7c56027fa3dc2aaa4676b89c10f87fd26befed7251415ca009aaced","observation_id":"0a0c05dc-0bc2-411b-aaba-1a00010f988b","resolution":{"observed_at":"2026-08-01T07:50:59.495711Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:50:59.578443Z","title":"Broline, D.W","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T07:50:59.578443Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:f25c3778160f69b83a2a5532964640846f7841d7caa3eccf19c5285b240dcb36","observation_id":"feca76f1-e3e6-4677-8ee4-3967e6a9e44e","resolution":{"observed_at":"2026-08-01T07:50:59.578443Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:50:59.658123Z","title":"Conway and H.S.M","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T07:50:59.658123Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:d3636d388a9df8fd9c434a6fb7c3d91bd56d950d9932232de556a64909dafcba","observation_id":"ac3e5b67-b3c5-4e30-8077-9a08b28b8201","resolution":{"observed_at":"2026-08-01T07:50:59.658123Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:50:59.745235Z","title":"Conway and H.S.M","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T07:50:59.745235Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:c9bdf5ae61aea3a420e684bca6893668d1ee9940b0ac9309275a0a96b2808ad9","observation_id":"9fa47a7b-bdbb-4d5d-a9a7-136bd5b200c0","resolution":{"observed_at":"2026-08-01T07:50:59.745235Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:50:59.836851Z","title":"Conway and N.J.A","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T07:50:59.836851Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:1df4edb17f7ce5add23e8d4f25f8dbc0a8d5c83f11a23f70efdeda37179efe8e","observation_id":"1a2da333-d26e-40d1-9de3-8cc68e14f48a","resolution":{"observed_at":"2026-08-01T07:50:59.836851Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:50:59.927668Z","title":"Coxeter, Frieze patterns,Acta Arith.18(1971), 297–310","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T07:50:59.927668Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:f5f34574b855f2585d847033bea1732f784d4d706d87b3367ea99ce18d50fb48","observation_id":"34bb71d9-41c9-442b-82c7-5c4a3ba40fa8","resolution":{"observed_at":"2026-08-01T07:50:59.927668Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:51:00.005187Z","title":"de Bruijn, Algebraic theory of Penrose’s non-periodic tilings of the plane","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T07:51:00.005187Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:27d39f454440c46102d729db4751469b82a174e9b17a769f4308413e268908a9","observation_id":"7eabce6a-f68e-40fa-a770-07825b07214b","resolution":{"observed_at":"2026-08-01T07:51:00.005187Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:51:00.095754Z","title":"Esentepe and E","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T07:51:00.095754Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:aa1610a7554ae77c237099eddd016804a19313ad5def7c7f83b036a5956309f8","observation_id":"79898747-d727-48d3-a8c8-2dd8da2c6ee3","resolution":{"observed_at":"2026-08-01T07:51:00.095754Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:51:00.188468Z","title":"Frettl¨ oh, F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T07:51:00.188468Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:64433915562623c3cbb995bfc08ad8a951d5a8195a4e7da9a95f0225a72a687d","observation_id":"ca3e0429-f18c-482a-83eb-8624749113fa","resolution":{"observed_at":"2026-08-01T07:51:00.188468Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:51:00.271049Z","title":"Godr´ eche and F","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T07:51:00.271049Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:d1f5551e8789c9dae0dbb23ae1f66699b6e0443fd806ec2060e84cb9f8b6a437","observation_id":"64209a26-60fa-4440-bd49-641739217fa0","resolution":{"observed_at":"2026-08-01T07:51:00.271049Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:51:00.348007Z","title":"Lan¸ con, L","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T07:51:00.348007Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:debe861c361443c84ee31ca4819658921f0443c852d322f7cc7af268b6f53857","observation_id":"93c9b76f-8ed8-41a3-8ffd-ec50b23bfe29","resolution":{"observed_at":"2026-08-01T07:51:00.348007Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:51:00.433689Z","title":"Ma˜ nibo,Lyapunov exponents in the spectral theory of primitive inflation systems, PhD thesis, Univ","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T07:51:00.433689Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:6909a373c0431b1904e0a7d39af8bd4d42fe5410573f55401a15d3b7e1858622","observation_id":"ac331fc6-d69b-4610-8a87-545db2428ee4","resolution":{"observed_at":"2026-08-01T07:51:00.433689Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:51:00.517696Z","title":"Maz´ aˇ c, Patch frequencies in Penrose rhombic tilings,Acta Cryst","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T07:51:00.517696Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:5bcc242a6a8ef218fe5c9f1160875773f87c5e5cd29d49f2414f050cef7f06c3","observation_id":"385e8f74-312b-45d5-8b66-4a286ceccf62","resolution":{"observed_at":"2026-08-01T07:51:00.517696Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:51:00.609798Z","title":"Maz´ aˇ c,Fractal and Statistical Phenomena in Aperiodic Order, PhD Thesis, Univ","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T07:51:00.609798Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:57f84d396d85c5d174236783997bcf1bb3ca31bd80b51d58a1e805d8ea8b250e","observation_id":"d45971a8-f24d-4f57-8cc9-ac35766ee749","resolution":{"observed_at":"2026-08-01T07:51:00.609798Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:51:00.683913Z","title":"Penrose, The rˆ ole of aesthetics in pure and applied mathematical research,Bull","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T07:51:00.683913Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:aadd11a3fdf68d8aa4a9c9bdc2773b8a8e3d9c5ad957bcc67c11ae5e9155f156","observation_id":"a5f55704-481e-4765-960f-81ce017dc49b","resolution":{"observed_at":"2026-08-01T07:51:00.683913Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:51:00.768479Z","title":"Solomyak, Non-periodicity implies unique composition property for self-similar translationally finite tilings,Discr","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T07:51:00.768479Z"},"links":{"citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:11092038a6c54c26ac3f4924db4014d0485ff1ab85d5c6ca8bfb2e4bd2465f75","observation_id":"222cdfce-a98f-4489-aa80-825789934bea","resolution":{"observed_at":"2026-08-01T07:51:00.768479Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1503.04352","last_updated":"2015-08-03T13:52:49Z","snapshot_observed_at":"2026-08-18T09:23:20.480431Z","submitted_at":"2015-03-14T21:44:03Z","title":"Arithmetic infinite friezes from punctured discs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1503.04352","snapshot_observed_at":"2026-08-01T07:51:00.852427Z","title":"Tschabold, Arithmetic infinite friezes from punctured discs,preprint(2015),arXiv:1503.04352","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T07:51:00.852427Z"},"links":{"cited_paper":"/paper/1503.04352","citing_paper":"/paper/2607.21348"},"observation_digest":"sha256:4b0f00e2fb97fa9616138a27c64cb5292c84e47d43057479d2afc78fdebf549b","observation_id":"0bb3a3da-3f9e-4c6f-b042-abdb052b9b48","resolution":{"observed_at":"2026-08-01T07:51:00.852427Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.21348","last_updated":"2026-07-23T14:14:22Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-06T04:25:16.406198Z","submitted_at":"2026-07-23T14:14:22Z","title":"Frieze patterns and aperiodic tilings of the plane"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":22,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":22},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.21348."}