{"as_of":"2026-08-07T07:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ed2e8dcb9a74675f1ec7d4bc3a3bc74813575c1f4795fcec2b8fb2e878f894ac","coverage":[{"denominator":30,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T00:34:30.851172Z","state":"measured"},{"denominator":33,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":33,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T18:16:43.307420Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"cited_work":{"arxiv_id":"2605.29854","doi":"10.48550/arxiv.2605.29854","metadata_source":"pith","pith_arxiv_id":"2605.29854","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","venue":"math.FA","work_id":"3cde2dd1-52f2-41a2-a377-33191f5798ad","year":2026},"citing_paper":{"arxiv_id":"2606.26417","last_updated":"2026-06-24T22:14:44Z","snapshot_observed_at":"2026-07-07T00:00:46.505337Z","submitted_at":"2026-06-24T22:14:44Z","title":"Preservation of primariness under $\\ell_1$-, $c_0$-, and $\\ell_\\infty$-sums of Banach spaces","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-26T00:46:16.535760Z"},"links":{"cited_paper":"/paper/2605.29854","citing_paper":"/paper/2606.26417"},"observation_digest":"sha256:fe5606ac213a6daf9e69eed77fa1a83abff47dab806c0b6a2a4c5af5c5759afb","observation_id":"1378ac0e-3984-42b6-9d76-ff7c0b6bb9c3","resolution":{"observed_at":"2026-07-04T16:19:57.799537Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"cited_work":{"arxiv_id":"2605.29854","doi":"10.48550/arxiv.2605.29854","metadata_source":"pith","pith_arxiv_id":"2605.29854","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","venue":"math.FA","work_id":"3cde2dd1-52f2-41a2-a377-33191f5798ad","year":2026},"citing_paper":{"arxiv_id":"2607.01467","last_updated":"2026-07-01T20:56:43Z","snapshot_observed_at":"2026-08-03T23:12:28.166383Z","submitted_at":"2026-07-01T20:56:43Z","title":"Pure infiniteness and primary factorisation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"cited_paper":"/paper/2605.29854","citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:0ce20724acb51bff9439d94a1905a9eb5231267a2ba63cbcf25600fadcde0f10","observation_id":"f0c39b82-ed84-40b1-ae98-91ac1f6980a8","resolution":{"observed_at":"2026-07-03T18:18:49.100856Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.29854","snapshot_observed_at":"2026-08-01T18:16:43.307420Z","title":"Acuaviva,Primariness of the spacesℓp(C(K))for1≤p≤∞,arXiv:2605.29854 [math.FA], 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.17388","last_updated":"2026-07-19T19:22:40Z","snapshot_observed_at":"2026-08-06T14:50:32.960936Z","submitted_at":"2026-07-19T19:22:40Z","title":"Mathematical Discovery in the Wild: AI-Guided Proofs in Banach Space Theory","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T18:16:43.307420Z"},"links":{"cited_paper":"/paper/2605.29854","citing_paper":"/paper/2607.17388"},"observation_digest":"sha256:453ba849027cf8e35971e53d66fa108fa05533ccc31bc41fbfc7de4ada6ef493","observation_id":"6462e5e1-9cd6-461a-b527-10efc3cbd5e9","resolution":{"observed_at":"2026-08-01T18:16:43.307420Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2605.29854/citation-record","integrity":"/paper/2605.29854/integrity","json":"/paper/2605.29854/citation-record.json","paper":"/paper/2605.29854"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2511.22339","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-04T16:19:57.800678Z","title":"Acuaviva,C(K)-spaces with few operators relative to posets, arXiv:2511.22339 (2025)","venue":null,"work_id":"a7db3d14-fc41-4b0b-8eeb-2bb7e20aaba3","year":2025},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:29e133df9bae4a1461d6a16eedf167dedfe11908eecff22a15b892ca5ab3e2ba","observation_id":"537e7ec5-6f34-4807-9eaa-9dad4b1a88a5","resolution":{"observed_at":"2026-07-01T19:06:03.392612Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":{"arxiv_id":"2605.21711","last_updated":"2026-05-20T20:14:33Z","snapshot_observed_at":"2026-08-02T10:50:08.039370Z","submitted_at":"2026-05-20T20:14:33Z","title":"Primariness and the Primary Factorisation Property","version":1},"cited_work":{"arxiv_id":"2605.21711","doi":"10.48550/arxiv.2605.21711","metadata_source":"pith","pith_arxiv_id":"2605.21711","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Primariness and the Primary Factorisation Property","venue":"math.FA","work_id":"9600d515-f046-4a32-a378-06e6430ae6b4","year":2026},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"cited_paper":"/paper/2605.21711","citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:d27889b40eaf4e71df79d23b4ec05ce31739a5a50cf98ef405ef1910c85d1315","observation_id":"5484ac29-2b12-4dd8-9611-fe2b364881a1","resolution":{"observed_at":"2026-07-01T19:06:03.395011Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T00:34:30.851172Z","title":"Albiac and N","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:1fce53d3a5aef7ed05b0d7a1f2dd0f5bc1d3dccde7c768a36dcbc345cd8255f0","observation_id":"2c510c57-ff79-4312-b971-951cda08dac3","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:c0588a2471e0b66a87839d2fb19a52fb5aa92d6b4f2ced2e8a07ae3276d3f233","observation_id":"0ca25ae4-133e-4ed2-996d-b9ada107ff37","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Alspach, P","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:31407b17f966f4577d1c1e06bf6ca9d7a3d51dd74aa7347ce69c9384cc86f786","observation_id":"1ee8fd59-4a2b-4f3e-955a-53e7a5c6803d","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Baker,Compact spaces homeomorphic to a ray of ordinals, Fund","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:d5100f675e8be0bb609f2bb0ac0fa6e5052fcd71c2bb698e0b2b7aee4b007ad0","observation_id":"1f63036a-8cc9-4eae-b0ad-dc1c2ae3ad82","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Bessaga and A","venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:b153438031e5c5286c84d049fb675b80b94ceba35e8364a1a985800d4e0b06ff","observation_id":"9cc65c05-c983-450b-8665-7239df09d3ea","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Billard,Sur la primarité des espacesC(α), Studia Math.62(1978), no","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:34af38d933c69b555e1b1a871e4226dc9c9f8a45bd29f1063ce36676b6aaadc5","observation_id":"48ec54b0-d33b-4683-b46f-6c7482f8b85b","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Capon,Primarité deℓp(L1), Math","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:fa61a7555b3b1163f2e4b562cd872ababa6727c0b5143dfc7e11ef02b0140e10","observation_id":"ba36ab0c-fc3c-4b2e-855a-86c99e28d690","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Capon,Primarité deL p(ℓr),1< p,r <∞, Israel J","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:7a5fcd4e2bee0a78f3496b79ca5d4739d29d5f9a5471c99431173ca8283a2ab1","observation_id":"cbb87523-a523-4d70-a460-6ace2734ce09","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Capon,Primarité de certains espaces de Banach, Proc","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:18543014e39c20dbdbe47f2c78502550d38eeabbe370a6b785d65d1a7bfdacbc","observation_id":"16442205-f9bb-4ccb-924f-2b234b64d816","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Capon,Primarité deLp(X), Trans","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:a477060c4bec4995b00bfd67f9c3374252d9c5cb6bd864133bef8a6baf4b51ca","observation_id":"efa28f8e-e727-4c63-8ccc-e22e8b17cbef","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:f73e8698a6c6dfc99853364989bebf79e431796dc5797facb39bbc9fb388fade","observation_id":"b2652a92-cddc-4d30-a01d-fd48d12148ab","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:7d3a25b6c0e47fe69dc23d43e17559ead91ba3ec1010ec93237b6e6abfb3168c","observation_id":"02634bf3-acdd-4738-8a30-6eae98e02669","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Dugundji,An extension of Tietze’s theorem, Pacific J","venue":null,"work_id":null,"year":1951},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:80971125c06861050c5a2458ce72a31707cf50daecf2f48dae5e737241c6b4e6","observation_id":"ee31b850-6272-4e8f-acf0-1bbc3c874cbe","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":null,"venue":null,"work_id":null,"year":1950},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:eeadd416afea29a3cbb3a44519d6108afe5dbae10732ff381fa053ba7f21ed73","observation_id":"6b5329a6-2404-4702-a5cb-179928208ebf","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:1941efa566e77837ef1b9dd77560d738bbad56857cdd9adba819dce75ecc2061","observation_id":"730db094-bdb7-4983-b8eb-67da237ff9e4","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Lechner, P","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:f35e13dfeebac08cb22a22090088cd9204e8a414194a1c93af1a4dea8a4e6d44","observation_id":"87f10082-ab07-4591-aa5e-1a5e9da6024c","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Lindenstrauss,On complemented subspaces ofm, Israel J","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:7b7479d172311db44ad76a8c91d95374d59a4f19789cd6aa97c5824c947167cd","observation_id":"c7ac8d7b-d40f-4ffd-9ea1-67c8fbf427c7","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Lindenstrauss and A","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:cd0196a9227a202616acf55ef76a7308b224c8a3c6e6bd665c013b253dd302e3","observation_id":"8318a846-d5cd-402d-84de-4e5e4a97a4af","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Maurey,Sous-espaces complémentés deLp, d’après P","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:32f142dfa7912dac30288a4ee2a6bd6aab25b07302de5da1ec2da3ecd64cbdbe","observation_id":"e3af07a2-f3cf-43f3-8ce3-7a6b8b6ff328","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Michalak,The Banach spaceD(0,1)is primary, Comment","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:f2360120f2cc2ca83a5cf654f9db94d54df33bf530014f7096f1b391fb518bb6","observation_id":"c1c86f55-9056-419b-bc77-36b86ebe87bb","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":null,"venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:c1ec0b026ec435e99231f55554e6453a8d5e299d06b0cd04d0fd7ce995953f31","observation_id":"4638d3a0-d227-4147-8699-bdab1d70ff56","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:51ef0762819db4fe498bebd42b49cddd7dc32fa0b35a1497c1d51a8075a42c55","observation_id":"49a69699-5d5d-415e-b646-c44a00780af1","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Pełczyński,Projections in certain Banach spaces, Studia Math.19(1960), 209– 228","venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:14c08d3473e642fdf03ec9250c82c9daf0f28301307909ecbf1928570140a9a3","observation_id":"c355010b-7b6e-4568-9651-d2749f226133","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Pełczyński,On strictly singular and strictly cosingular operators","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:bf4b96d32163ac10889ea2d7db2ab91381d9472a7453db87e6c7390ef9ec4df3","observation_id":"4128aa1c-1338-4c8e-8f92-5bc6474b3b37","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":"Pełczyński,On strictly singular and strictly cosingular operators","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:cdf31ceb9fc376d9b6d84b55d2abbdd4788367cc99ee1762159a400efbebdbb4","observation_id":"73595ad1-d6a1-4728-840e-519e1979305b","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:250aaeb856565dab44dbf9ef7fd5439d2096e935cdb181230d82e643adb458dc","observation_id":"5a917ef4-f246-49cf-959f-560d3dcb188d","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:ba2a9e07b3955967458b8bea1f3a7e3dff0ef9408e4677664c3639dea7e945a6","observation_id":"443b0d2d-2a98-4095-9f5d-b6b3455cb2fc","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","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":"2026-06-29T00:34:30.851172Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-29T00:34:30.851172Z"},"links":{"citing_paper":"/paper/2605.29854"},"observation_digest":"sha256:0873fdd5e453f4182067fbc0376f839d43def82546192578d7f6b9f90040aed7","observation_id":"20e59a26-609a-4f24-a015-3a28a9d6f5e0","resolution":{"observed_at":"2026-06-29T00:34:30.851172Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2605.29854","last_updated":"2026-05-28T12:36:00Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-07-06T23:39:15.620929Z","submitted_at":"2026-05-28T12:36:00Z","title":"Primariness of the spaces $\\ell_p(C(K))$ for $1 \\leq p \\leq \\infty$"},"reference_resolution":{"displayed":30,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":28,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":30},"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 7 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 3 inbound Pith citation observations for arXiv:2605.29854."}