{"as_of":"2026-08-19T14:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:723b7cc41e13a3118b9dd7c6592506b6e17c26bcb8c6f729bc2eaf513470815f","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T18:56:41.239368Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/2507.07038/citation-record","integrity":"/paper/2507.07038/integrity","json":"/paper/2507.07038/citation-record.json","paper":"/paper/2507.07038"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:56:41.479646Z","title":null,"venue":null,"work_id":"91b9a051-9b0a-4562-8fb9-db4bb814cee7","year":2022},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.188701Z"},"links":{"citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:7d52a80b04beee4e21acca6fdf06a0f1f22d5ef1f7979d687cdf04fd71ad61c5","observation_id":"0f50cc8e-cf95-4f21-b241-a71e719a2e79","resolution":{"observed_at":"2026-08-06T18:56:41.483471Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:56:41.471401Z","title":"Akama, E","venue":null,"work_id":"e196e53d-982a-46f5-9f5c-8cf4ac12fd0f","year":2022},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.192127Z"},"links":{"citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:48bea24029301954e876546023d98fe16454dcb862fe90ff4a75f6b281a9d82d","observation_id":"d38074d2-bf8f-4eec-9d6e-de19bd58d16b","resolution":{"observed_at":"2026-08-06T18:56:41.474293Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:56:41.463386Z","title":"Aliev, C","venue":null,"work_id":"c99e850e-119c-448e-ac96-bf7f6f8adef3","year":2002},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.195566Z"},"links":{"citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:a41635c4eb06e7573a3c9175886b39e5fe2e27942e0ff4e60146942a3ff8aee6","observation_id":"ebe88ae1-cb12-472c-8ba0-5ab214fb1890","resolution":{"observed_at":"2026-08-06T18:56:41.466321Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:56:41.453981Z","title":"Beukers, C","venue":null,"work_id":"35f8d5fe-1055-44ab-b09f-2d97930d0f15","year":2000},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.198545Z"},"links":{"citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:ff9024caecc8a2ce38154ba63f011fc02eba91f085dd6c16b8b075099798f5ab","observation_id":"186c35bb-450b-4144-89eb-2b1faddf0d8f","resolution":{"observed_at":"2026-08-06T18:56:41.457242Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:56:41.445661Z","title":null,"venue":null,"work_id":"6a280dab-c7df-4423-a647-9b0039d7f173","year":1988},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.201188Z"},"links":{"citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:3f8a03d47196e76a450613d8e5b105c4e992bbc5af9363fe30a4c201c84705d5","observation_id":"64d17c99-a3c1-4350-a80e-3b41e84883b0","resolution":{"observed_at":"2026-08-06T18:56:41.448596Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2307.11453","last_updated":"2024-02-08T05:45:35Z","snapshot_observed_at":"2026-08-16T15:14:24.837450Z","submitted_at":"2023-07-21T09:35:16Z","title":"Tilings of the Sphere by Congruent Pentagons IV: Edge Combination $a^4b$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.11453","snapshot_observed_at":"2026-08-06T18:56:41.204280Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.204280Z"},"links":{"cited_paper":"/paper/2307.11453","citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:99a6766e41e28e5c0d2fe53eaa64feecf63f5c085136c11fcf2b252bbc2a3506","observation_id":"2fc6335f-283a-4e75-8b28-25d69503c219","resolution":{"observed_at":"2026-08-06T18:56:41.204280Z","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":"2026-08-06T18:56:41.437844Z","title":"Gr¨ unbaum, G","venue":null,"work_id":"597b471e-91a6-4a74-babc-0a18d302bbd1","year":1987},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.208112Z"},"links":{"citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:874acf7690e70795e31c549989f06cfdeb1c7eea4c68c6e4d33ee42a7495dbf6","observation_id":"502071ae-ff6a-46ad-abde-9af2a23c6992","resolution":{"observed_at":"2026-08-06T18:56:41.440470Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2011.14232","last_updated":"2020-11-28T23:23:20Z","snapshot_observed_at":"2026-08-16T19:02:35.859020Z","submitted_at":"2020-11-28T23:23:20Z","title":"Space vectors forming rational angles","version":1},"cited_work":{"arxiv_id":"2011.14232","doi":null,"metadata_source":"pith","pith_arxiv_id":"2011.14232","snapshot_observed_at":"2026-08-06T18:56:41.288519Z","title":"Space vectors forming rational angles","venue":"math.MG","work_id":"e70aff74-45b0-4d97-825c-be16b8dd4a80","year":2020},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.211878Z"},"links":{"cited_paper":"/paper/2011.14232","citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:f91f18dafa41038cb629c0c6c401528ca5e212eaa08abbb26d5a63a06227df92","observation_id":"08f78889-a499-40af-aebb-5362a0cc9bbb","resolution":{"observed_at":"2026-08-06T18:56:41.292298Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:56:41.427987Z","title":null,"venue":null,"work_id":"9acbc0d4-8a09-45f1-a327-ed1384eccc6a","year":2002},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.215276Z"},"links":{"citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:b7473b029fa1bcb8eebd69e28ece249c745047520d833e11e715c0935ca9e53d","observation_id":"58a4d3f5-80c0-43c1-bf7f-354d8fada782","resolution":{"observed_at":"2026-08-06T18:56:41.431138Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"1907.08776","last_updated":"2024-04-17T18:11:35Z","snapshot_observed_at":"2026-08-19T14:14:54.213846Z","submitted_at":"2019-07-20T08:41:14Z","title":"Moduli Spaces of Pentagonal Subdivision Tilings","version":3},"cited_work":{"arxiv_id":"1907.08776","doi":null,"metadata_source":"pith","pith_arxiv_id":"1907.08776","snapshot_observed_at":"2026-08-06T18:56:41.276720Z","title":"Moduli Spaces of Pentagonal Subdivision Tilings","venue":"math.CO","work_id":"eb4db407-91f4-479b-b975-3135da8116fa","year":2019},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.218214Z"},"links":{"cited_paper":"/paper/1907.08776","citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:21089eb18420a3f59d9d99846fea48ed2a56d8537dbab64aa76b167138ac5dcd","observation_id":"91ab305d-a816-4b68-8b51-9d55581e1289","resolution":{"observed_at":"2026-08-06T18:56:41.280398Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:56:41.417974Z","title":null,"venue":null,"work_id":"5b56f505-9d0c-46ce-a62d-fd567fa4fc71","year":2024},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.221328Z"},"links":{"citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:e384b2285a2940b683fe66cf85e055c418f7824d9642a8fe6349a5fc41cdd07d","observation_id":"760656ed-0489-4676-a786-81beef0b682e","resolution":{"observed_at":"2026-08-06T18:56:41.421912Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:56:41.342916Z","title":null,"venue":null,"work_id":"0713fb7c-7e70-49f3-8c3a-33a4cd020f1d","year":2024},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.223894Z"},"links":{"citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:b03e9d69ac73cca79c87f7d8fd93ac1f59bf1b4f4161b51d14df62f3f1490b84","observation_id":"aa0f148a-d478-4be4-8b08-ceb934a878d1","resolution":{"observed_at":"2026-08-06T18:56:41.346129Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:56:41.333799Z","title":null,"venue":null,"work_id":"aa355784-4882-45d2-8f87-e3a46ac4e004","year":2024},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.226550Z"},"links":{"citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:cf2ab1d6b733d89fa80725e956664df75f5bb2094a48d5d2511477f0e08ad9fa","observation_id":"7024b758-d60b-4683-a2c2-bff75f0f264b","resolution":{"observed_at":"2026-08-06T18:56:41.337324Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2412.08492","last_updated":"2024-12-11T15:55:26Z","snapshot_observed_at":"2026-08-19T13:07:42.413296Z","submitted_at":"2024-12-11T15:55:26Z","title":"Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles","version":1},"cited_work":{"arxiv_id":"2412.08492","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.08492","snapshot_observed_at":"2026-08-06T18:56:41.262398Z","title":"Tilings of the sphere by congruent pentagons IV: Edge combination $a^4b$ with general angles","venue":"math.CO","work_id":"057b6f5e-aeee-4ca0-bd45-4ce99b22bb61","year":2024},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.229199Z"},"links":{"cited_paper":"/paper/2412.08492","citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:943104bb799fe611168846f909ed4b2b35a5f6fff2301fb2df5e1f5678d4027e","observation_id":"9978cf4f-9a01-4fd2-b49e-a2fc87589d8c","resolution":{"observed_at":"2026-08-06T18:56:41.267851Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:56:41.324018Z","title":null,"venue":null,"work_id":"d22d4c5e-fa50-4d51-b111-0af855666b95","year":2022},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.232408Z"},"links":{"citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:145d506663d10a42a080941d1d187e533a8b2050f591355121520abf313ad5fa","observation_id":"c1b61b60-6b42-4f42-a58c-b2157b955faa","resolution":{"observed_at":"2026-08-06T18:56:41.327237Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:56:41.315513Z","title":null,"venue":null,"work_id":"ea767de6-60a0-4467-bd6d-df6600590494","year":2022},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.235142Z"},"links":{"citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:ca1b8cd38d21d812ea902c8673b563e69f43b86394e8dd30f4298ad9adecaca6","observation_id":"4a4abed8-1360-40d0-aabe-1f05acd16213","resolution":{"observed_at":"2026-08-06T18:56:41.318297Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:56:41.306080Z","title":null,"venue":null,"work_id":"b9a98f08-cefe-4db6-8a9d-784d3183b3c4","year":null},"citing_paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T18:56:41.239368Z"},"links":{"citing_paper":"/paper/2507.07038"},"observation_digest":"sha256:41e290546a7178a5f0e075e6ce519eabdf77f2f17db0fb31798740d1de0d4982","observation_id":"a63871ea-0764-47f1-8ff3-b2d902ffb2ce","resolution":{"observed_at":"2026-08-06T18:56:41.309972Z","resolver_source":"raw_fallback","status":"unresolved"},"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"}}],"paper":{"arxiv_id":"2507.07038","last_updated":"2025-07-09T17:05:18Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-12T04:11:08.575611Z","submitted_at":"2025-07-09T17:05:18Z","title":"Tilings of the sphere by congruent pentagons V: Edge combination $a^{4}b$ with rational angles"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":3,"verified_fuzzy":4},"total_outbound_references":17},"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 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2507.07038."}