{"as_of":"2026-08-05T13:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4c53eec1d5936f91f9a61f83e25ab1e6d601d56bee298da193a42e55ede01ada","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-03T18:17:16.043444Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+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/2607.01467/citation-record","integrity":"/paper/2607.01467/integrity","json":"/paper/2607.01467/citation-record.json","paper":"/paper/2607.01467"},"outbound":[{"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:e255b5efe5699cb2086be96a0a30790721ad76ad1a5a1e660d3686491d66ebf7","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 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"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":2,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"cited_paper":"/paper/2605.21711","citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:11ecd8dee4168fe6619540f2ef107c5a310fe36431e906d5a3038cfcf67e379f","observation_id":"2122ef84-1ac7-4b49-8ea9-6c00d567510e","resolution":{"observed_at":"2026-07-03T18:18:49.098113Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.7146/math.scand.a-11904","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"MATHEMATICA SCANDINAVICA","work_id":"9a1b7af1-776c-4dc9-b0fc-2eb757816835","year":1981},"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":3,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:93eb15c8a4e9cf37cbac1991788b246c6fe35028e55229c9fbb30b9ac5de01f7","observation_id":"36b1e08d-1a75-45e2-9e2a-187604757630","resolution":{"observed_at":"2026-07-03T18:18:49.109746Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4153/cjm-1980-083-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Canadian Journal of Mathematics","work_id":"5a56f5fc-cd12-47d2-a804-9c70042e073b","year":1980},"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":4,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:be7f29d6dd43f962be9bc7b19f46af9bc0f06c49b9c1f6f98c8ed3acac7502df","observation_id":"c35b7587-2a76-4136-b493-7542936086f6","resolution":{"observed_at":"2026-07-03T18:18:49.106138Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-05T04:00:39.764387Z","title":null,"venue":null,"work_id":"f6f7144b-2799-4072-a3ee-b05a2d0d6f04","year":1973},"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":5,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:b1da8e7022a51ae33a5656d54ef0907a01dab3078ade244a183facbc649a4883","observation_id":"4b95f991-93c9-4736-90b9-a4938b7600f8","resolution":{"observed_at":"2026-07-05T04:00:39.765612Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-05T04:00:39.758521Z","title":null,"venue":null,"work_id":"e9c9da12-8ec1-46ed-aca3-6b53b78023a7","year":1974},"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":6,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:1c0cc368b83820aa0eab3257897007253e29e3208787ac7422e06d6c6f72e70f","observation_id":"2e40c420-b624-4d1f-b1a9-3d4b92a5ef07","resolution":{"observed_at":"2026-07-05T04:00:39.759837Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/s0305004105009102","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Daws,Closed ideals in the Banach algebra of operators on classical non-separable spaces, Math","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","work_id":"392925ff-b9ba-4b6f-b7d7-f4937afe88db","year":2006},"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":7,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:70be0b1ef43eb781929b8b532274505b7e66f0a33537a32d7dc021ba25c08746","observation_id":"ab02010b-a8f7-4863-b4fa-0ec7acea3705","resolution":{"observed_at":"2026-07-03T18:18:49.108013Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jfa.2022","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T18:18:49.094282Z","title":"Daws and B","venue":null,"work_id":"68132a3d-8ee4-4961-97aa-9446dba4415a","year":2022},"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":8,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:fe917459ed07eb6ae2089c33ed657f0eb0a8bd016b874e804a2dfd35df1ef58d","observation_id":"df66e527-a8d3-41d9-8bf7-f7f10dfe988b","resolution":{"observed_at":"2026-07-03T18:18:49.095472Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s002080050050","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematische Annalen","work_id":"d5f3c4d7-4fe0-49ad-96de-30470141039a","year":1997},"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":9,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:e78b021eba107ab01e1858f92366f95d0d44994c057015c2b32be587874b66a6","observation_id":"98439001-7e94-4837-b149-441197ae3d5f","resolution":{"observed_at":"2026-07-03T18:18:49.085323Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1515/9783110602418-009","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":null,"work_id":"bfd84311-9e61-4b3a-99c3-17d91ffdfe0d","year":2017},"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":10,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:155b5876606822afe773ba0ad959587ad4704d5cf363ed702481522653786ed7","observation_id":"b75deeb1-3368-4b6d-8c8d-e8194ed43b12","resolution":{"observed_at":"2026-07-03T18:18:49.102704Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-05T04:00:39.760605Z","title":"Kania, P","venue":null,"work_id":"fc73be2b-ba30-4af1-824e-86cc423e3f14","year":2015},"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":11,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:bda5782dee392fa77b8432c8ef2cde3b8bb094e5529ff95a0b6ce06356e2733c","observation_id":"0957fbc9-c942-4196-982b-a9db34359805","resolution":{"observed_at":"2026-07-05T04:00:39.761822Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jfa.2012.03","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T18:18:49.090323Z","title":"Kania and N","venue":null,"work_id":"64d34a36-dc9d-4d69-a7cf-32979c6811fe","year":2012},"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":12,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:d518978d445144eed223758d9ab366fdbd2c360ec483e8c5b6557c431782cc92","observation_id":"a378ddca-e8a0-46c8-b3bc-fb21f77fdcda","resolution":{"observed_at":"2026-07-03T18:18:49.091607Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00208-004-0544-z","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Koszmider,Banach spaces of continuous functions with few operators, Math","venue":"Mathematische Annalen","work_id":"6c1488a7-959e-401c-a63e-7c7af023ce67","year":2004},"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":13,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:66ea9a8bc16bb434ba7552a8474c02f31bb2119da3cd3bb31afd121b18b220bc","observation_id":"d4e830d3-da3b-4fc8-8a15-d22b32fd6c24","resolution":{"observed_at":"2026-07-03T18:18:49.089712Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/s0013091500001097","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Proceedings of the Edinburgh Mathematical Society","work_id":"aebce6a1-36e2-41ea-9390-1ebee5761c5b","year":2002},"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":14,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:f3a38a8ad62c7cfa705e797496d39dba7a0a43a4083aea72c1f171f2681e582a","observation_id":"c6d590d3-1d88-4ffe-adb9-057de6b55008","resolution":{"observed_at":"2026-07-03T18:18:49.093473Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/s0017089502008947","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Glasgow Mathematical Journal","work_id":"d2770649-867f-4cdd-9ab4-7b920a2390b1","year":2003},"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":15,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:42c2909107f24b5911ce8ebfac4882195f5afd90cdc783c94083a9df9f6df362","observation_id":"7c6fe221-e700-4299-9325-d09fa5c5f1ee","resolution":{"observed_at":"2026-07-03T18:18:49.104450Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-05T04:00:39.762483Z","title":null,"venue":null,"work_id":"1a6bdea3-7644-41aa-b1d1-e966d78d93ec","year":2017},"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":16,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:c0ff98ffd374415a553dd772061dde19b9375a85e493594f35f699da914fe74e","observation_id":"88672089-2f19-43c0-be09-70403641b1a6","resolution":{"observed_at":"2026-07-05T04:00:39.763791Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/jlms/s2-40.2.327","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of the London Mathematical Society","work_id":"e79034ed-ef43-4422-86a2-4f4950eb7fb3","year":1989},"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":17,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:16225a842f03cde3cd7c8c08c4ff888fc779bc612204ddfc9c35b8f5dd7a3912","observation_id":"f3f24ba9-2add-4b62-a3b4-bb96cfda05dc","resolution":{"observed_at":"2026-07-03T18:18:49.111468Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/jlms/s2-40.2.305","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of the London Mathematical Society","work_id":"a6b5768c-94d2-4e84-a493-7e1580a2fd26","year":1989},"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":18,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:25a26ce64f81d3cf32e155249c3ae176f8e6b5dc22892c1a09fb255a6fbc74e9","observation_id":"0a49504b-f064-4606-9de9-76166e2cad36","resolution":{"observed_at":"2026-07-03T18:18:49.087454Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1309.7469","last_updated":"2013-09-28T15:55:19Z","snapshot_observed_at":"2026-08-03T07:22:32.198449Z","submitted_at":"2013-09-28T15:55:19Z","title":"Operators on Banach Spaces of Bourgain-Delbaen Type","version":1},"cited_work":{"arxiv_id":"1309.7469","doi":null,"metadata_source":"pith","pith_arxiv_id":"1309.7469","snapshot_observed_at":"2026-07-03T18:18:49.509275Z","title":"Operators on Banach Spaces of Bourgain-Delbaen Type","venue":"math.FA","work_id":"0e08dbda-bb8f-4226-acd0-5a87d2b9b9c2","year":2013},"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":19,"source":"pdf_text","source_observed_at":"2026-07-03T18:17:16.043444Z"},"links":{"cited_paper":"/paper/1309.7469","citing_paper":"/paper/2607.01467"},"observation_digest":"sha256:ca1291e075e498f757431a2ca00e015b1faff116fc61b6ffba5af09fc73822d6","observation_id":"493b4dba-6284-4fcc-b445-00129b5116fd","resolution":{"observed_at":"2026-07-03T18:18:49.510763Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.01467","last_updated":"2026-07-01T20:56:43Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-08-03T23:12:28.166383Z","submitted_at":"2026-07-01T20:56:43Z","title":"Pure infiniteness and primary factorisation"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":2,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":15,"verified_fuzzy":0},"total_outbound_references":19},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.01467."}