{"as_of":"2026-08-18T10:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:46ea9e122263b5fed61e0d45243930bb6f9a8e6441ebf30ed2acb2c34b98a998","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T05:20:52.513193Z","state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"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/1909.02332/citation-record","integrity":"/paper/1909.02332/integrity","json":"/paper/1909.02332/citation-record.json","paper":"/paper/1909.02332"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:20:52.699560Z","title":"Broline, D","venue":null,"work_id":"4c5eaa8c-0eab-4220-8769-015048305ba0","year":1974},"citing_paper":{"arxiv_id":"1909.02332","last_updated":"2019-09-05T11:35:03Z","snapshot_observed_at":"2026-08-18T05:40:50.043523Z","submitted_at":"2019-09-05T11:35:03Z","title":"Frieze patterns with coefficients","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T05:20:52.468986Z"},"links":{"citing_paper":"/paper/1909.02332"},"observation_digest":"sha256:06db041adb4ec91841228060222fec3ca7f4a25e716fc9ba7ad1419668c7a308","observation_id":"0a9b70c6-6a9b-4774-9659-c808337d5322","resolution":{"observed_at":"2026-08-14T05:20:52.704021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:20:52.688441Z","title":null,"venue":null,"work_id":"c2fa3b94-79bf-4d1f-82c5-a16c6d72a4cd","year":1973},"citing_paper":{"arxiv_id":"1909.02332","last_updated":"2019-09-05T11:35:03Z","snapshot_observed_at":"2026-08-18T05:40:50.043523Z","submitted_at":"2019-09-05T11:35:03Z","title":"Frieze patterns with coefficients","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T05:20:52.473581Z"},"links":{"citing_paper":"/paper/1909.02332"},"observation_digest":"sha256:855bf8f747363412a65762a8308f019de6ee8df0bc3703f1a5ab1f25fe1ec6e3","observation_id":"4d50f2e7-4914-46bd-a3ff-8fb5e784c932","resolution":{"observed_at":"2026-08-14T05:20:52.691899Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:20:52.676963Z","title":null,"venue":null,"work_id":"7f0792ed-8798-4707-b47a-9b9a606e818d","year":1971},"citing_paper":{"arxiv_id":"1909.02332","last_updated":"2019-09-05T11:35:03Z","snapshot_observed_at":"2026-08-18T05:40:50.043523Z","submitted_at":"2019-09-05T11:35:03Z","title":"Frieze patterns with coefficients","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T05:20:52.477577Z"},"links":{"citing_paper":"/paper/1909.02332"},"observation_digest":"sha256:33b87b221bc9fe857b9bab60c6e848bfae9f2e37311bb5c08805521a2668efed","observation_id":"e0f0700b-9662-4795-8d7a-3158335893c0","resolution":{"observed_at":"2026-08-14T05:20:52.681101Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:20:52.663314Z","title":"Cuntz, On wild frieze patterns , Exp","venue":null,"work_id":"dd9397a5-18f0-4bde-a063-5e5b0c4817b9","year":2017},"citing_paper":{"arxiv_id":"1909.02332","last_updated":"2019-09-05T11:35:03Z","snapshot_observed_at":"2026-08-18T05:40:50.043523Z","submitted_at":"2019-09-05T11:35:03Z","title":"Frieze patterns with coefficients","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T05:20:52.481413Z"},"links":{"citing_paper":"/paper/1909.02332"},"observation_digest":"sha256:d01be7b64dc231b498e2a783ae20d4c3634dfbf404cff6f6689fbc490fce635a","observation_id":"59366c29-dd58-4a93-a12d-6646b42b5606","resolution":{"observed_at":"2026-08-14T05:20:52.667422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:20:52.650888Z","title":null,"venue":null,"work_id":"34f763d8-e0f3-47ee-b0eb-2f8d1d187079","year":2019},"citing_paper":{"arxiv_id":"1909.02332","last_updated":"2019-09-05T11:35:03Z","snapshot_observed_at":"2026-08-18T05:40:50.043523Z","submitted_at":"2019-09-05T11:35:03Z","title":"Frieze patterns with coefficients","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T05:20:52.485549Z"},"links":{"citing_paper":"/paper/1909.02332"},"observation_digest":"sha256:1fb1c8567373733e9fd553546a1e77e49237c271b9d25f16552e291cb3a64558","observation_id":"93bfef01-7418-489c-af09-331d2250e5e4","resolution":{"observed_at":"2026-08-14T05:20:52.655030Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:20:52.636048Z","title":"Cuntz, T","venue":null,"work_id":"1be98c13-c2f8-4af4-84eb-e20b4dfe9cd9","year":2019},"citing_paper":{"arxiv_id":"1909.02332","last_updated":"2019-09-05T11:35:03Z","snapshot_observed_at":"2026-08-18T05:40:50.043523Z","submitted_at":"2019-09-05T11:35:03Z","title":"Frieze patterns with coefficients","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T05:20:52.489324Z"},"links":{"citing_paper":"/paper/1909.02332"},"observation_digest":"sha256:4b7ad87065647f80ba25b88b7c33d5f48584acaac1a92bf4e72efe46d73876e5","observation_id":"e720e65e-206d-452a-9ddd-d06b43f9ea6f","resolution":{"observed_at":"2026-08-14T05:20:52.640766Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1608.05735","last_updated":"2024-12-10T00:46:52Z","snapshot_observed_at":"2026-08-17T03:51:25.651352Z","submitted_at":"2016-08-19T20:49:21Z","title":"Introduction to Cluster Algebras. Chapters 1-3","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.05735","snapshot_observed_at":"2026-08-14T05:20:52.493481Z","title":"Fomin, L","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1909.02332","last_updated":"2019-09-05T11:35:03Z","snapshot_observed_at":"2026-08-18T05:40:50.043523Z","submitted_at":"2019-09-05T11:35:03Z","title":"Frieze patterns with coefficients","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T05:20:52.493481Z"},"links":{"cited_paper":"/paper/1608.05735","citing_paper":"/paper/1909.02332"},"observation_digest":"sha256:6dc1d84cdd1250cea27ae7278396b4a4b9854457c151222b4a975756cb198094","observation_id":"ae4dabcb-eda3-4752-9a4c-cc2af674c3bf","resolution":{"observed_at":"2026-08-14T05:20:52.493481Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:20:52.621119Z","title":"Fomin, A","venue":null,"work_id":"ddb37609-e8d0-4519-af25-ea2d7f804ee2","year":2002},"citing_paper":{"arxiv_id":"1909.02332","last_updated":"2019-09-05T11:35:03Z","snapshot_observed_at":"2026-08-18T05:40:50.043523Z","submitted_at":"2019-09-05T11:35:03Z","title":"Frieze patterns with coefficients","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T05:20:52.497627Z"},"links":{"citing_paper":"/paper/1909.02332"},"observation_digest":"sha256:64581a06d2e9491e12179c2da82e8abe95377ed801a110a81724520fa3ea5218","observation_id":"05c2e530-43b1-499f-8f8e-b5d9a31199b6","resolution":{"observed_at":"2026-08-14T05:20:52.625346Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1709.09861","last_updated":"2018-01-25T19:52:10Z","snapshot_observed_at":"2026-08-14T20:28:51.079206Z","submitted_at":"2017-09-28T09:17:01Z","title":"A $p$-angulated generalisation of Conway and Coxeter's theorem on frieze patterns","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1709.09861","snapshot_observed_at":"2026-08-14T05:20:52.501207Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1909.02332","last_updated":"2019-09-05T11:35:03Z","snapshot_observed_at":"2026-08-18T05:40:50.043523Z","submitted_at":"2019-09-05T11:35:03Z","title":"Frieze patterns with coefficients","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T05:20:52.501207Z"},"links":{"cited_paper":"/paper/1709.09861","citing_paper":"/paper/1909.02332"},"observation_digest":"sha256:2955129ca6e8e8b0c67fa9a96d40fff1bba8dc7f985d14d38eef87bd2e050756","observation_id":"4768bb81-b8a8-4cf4-a3cd-0186234ebe7e","resolution":{"observed_at":"2026-08-14T05:20:52.501207Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:20:52.607274Z","title":"Morier-Genoud, Coxeter’s frieze patterns at the crossroads of algebra, geometry and combinatorics , Bull","venue":null,"work_id":"9762bf96-6329-4a1c-807c-c2f2d0b1b6af","year":2015},"citing_paper":{"arxiv_id":"1909.02332","last_updated":"2019-09-05T11:35:03Z","snapshot_observed_at":"2026-08-18T05:40:50.043523Z","submitted_at":"2019-09-05T11:35:03Z","title":"Frieze patterns with coefficients","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T05:20:52.505286Z"},"links":{"citing_paper":"/paper/1909.02332"},"observation_digest":"sha256:bfd0aabb8cfe1aa0883dda19f4edc392b6c16085981334a9166627008acbc1e8","observation_id":"45cc2c1a-406e-4e94-9f9b-5c37e01f5d8c","resolution":{"observed_at":"2026-08-14T05:20:52.611899Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0511633","last_updated":"2020-05-28T15:07:05Z","snapshot_observed_at":"2026-08-18T02:23:21.599693Z","submitted_at":"2005-11-25T17:13:44Z","title":"The combinatorics of frieze patterns and Markoff numbers","version":5},"cited_work":{"arxiv_id":"math/0511633","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0511633","snapshot_observed_at":"2026-08-14T05:20:52.544655Z","title":"The combinatorics of frieze patterns and Markoff numbers","venue":"math.CO","work_id":"af30943f-dacb-4670-b166-4fa8b8e83bb2","year":2005},"citing_paper":{"arxiv_id":"1909.02332","last_updated":"2019-09-05T11:35:03Z","snapshot_observed_at":"2026-08-18T05:40:50.043523Z","submitted_at":"2019-09-05T11:35:03Z","title":"Frieze patterns with coefficients","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T05:20:52.509138Z"},"links":{"cited_paper":"/paper/math/0511633","citing_paper":"/paper/1909.02332"},"observation_digest":"sha256:03bac0c22a42f8bfea3b615860e9cfa0c75dfc573b96f800273236cbd81b6aeb","observation_id":"67f705c0-9452-4866-80a3-ede8b38ec1ed","resolution":{"observed_at":"2026-08-14T05:20:52.551733Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:20:52.593986Z","title":"Schiﬄer, A cluster expansion formula ( An case), Electron","venue":null,"work_id":"2f5c2e91-4a97-4d2c-84be-6c36207d96f2","year":2008},"citing_paper":{"arxiv_id":"1909.02332","last_updated":"2019-09-05T11:35:03Z","snapshot_observed_at":"2026-08-18T05:40:50.043523Z","submitted_at":"2019-09-05T11:35:03Z","title":"Frieze patterns with coefficients","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T05:20:52.513193Z"},"links":{"citing_paper":"/paper/1909.02332"},"observation_digest":"sha256:105e5262fdcf9fdca4bf8acca43d5e1c73f5362326b2ac1a0683a9514ac2f5fc","observation_id":"7c84b673-3244-4061-8042-639d7fe8b55f","resolution":{"observed_at":"2026-08-14T05:20:52.598200Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}}],"paper":{"arxiv_id":"1909.02332","last_updated":"2019-09-05T11:35:03Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-18T05:40:50.043523Z","submitted_at":"2019-09-05T11:35:03Z","title":"Frieze patterns with coefficients"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":1,"verified_fuzzy":6},"total_outbound_references":12},"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 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1909.02332."}