{"as_of":"2026-08-12T13:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2a702f3c32398644348fd8a35375878969c255c5b934b40b30afdffd63dccc14","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T18:38:18.631515Z","state":"measured"},{"denominator":31,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":31,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T14:16:07.446559Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T23:21:50.030361Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.11200","snapshot_observed_at":"2026-08-10T14:16:07.446559Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2501.15584","last_updated":"2025-01-26T16:20:40Z","snapshot_observed_at":"2026-08-11T00:05:00.879945Z","submitted_at":"2025-01-26T16:20:40Z","title":"Rational G-spectra for rank 2 toral groups of mixed type","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.446559Z"},"links":{"cited_paper":"/paper/2501.11200","citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:b8169f4a64eba6c58669b34a186f7ce0298768bbd6006a4a34a94f0b47fdf0d7","observation_id":"32e2673b-2a84-4790-927a-e0c27a98cd96","resolution":{"observed_at":"2026-08-10T14:16:07.446559Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.11200","snapshot_observed_at":"2026-08-09T17:15:37.751840Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2502.00959","last_updated":"2025-02-02T23:39:47Z","snapshot_observed_at":"2026-08-12T10:14:37.847123Z","submitted_at":"2025-02-02T23:39:47Z","title":"An algebraic model for rational U(2)-spectra","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T17:15:37.751840Z"},"links":{"cited_paper":"/paper/2501.11200","citing_paper":"/paper/2502.00959"},"observation_digest":"sha256:0fd642221f35fc6962814ce20a977f2acf21ba39849e4be376a22351c6eab7f3","observation_id":"fb8fc85e-da68-4b7e-9419-ba2523ca80fd","resolution":{"observed_at":"2026-08-09T17:15:37.751840Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.11200","snapshot_observed_at":"2026-08-08T17:10:20.869990Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2502.06017","last_updated":"2025-02-09T20:18:38Z","snapshot_observed_at":"2026-08-09T17:39:54.723469Z","submitted_at":"2025-02-09T20:18:38Z","title":"Rational SU(3)-equivariant cohomology theories","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-08T17:10:20.869990Z"},"links":{"cited_paper":"/paper/2501.11200","citing_paper":"/paper/2502.06017"},"observation_digest":"sha256:5050397f365ff2287c3e73e9a657560116f630fd5e9e160297c93a33eb2eb7ad","observation_id":"ce221406-b75c-4143-8a22-8f0c845a4199","resolution":{"observed_at":"2026-08-08T17:10:20.869990Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"cited_work":{"arxiv_id":"2501.11200","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.11200","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3df2cce8-2671-491c-8042-108e4fe6ba57","year":2025},"citing_paper":{"arxiv_id":"2604.25005","last_updated":"2026-04-27T21:06:46Z","snapshot_observed_at":"2026-08-02T19:13:44.272577Z","submitted_at":"2026-04-27T21:06:46Z","title":"Rational Sp(2)-equivariant cohomology theories I: dominant subgroups","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-07T17:10:08.085946Z"},"links":{"cited_paper":"/paper/2501.11200","citing_paper":"/paper/2604.25005"},"observation_digest":"sha256:0e94e228ebf495c90f6b913b538cbd2ddb41a9ec5f2acbab4251421aa76bc38d","observation_id":"a84e3cb3-f570-41a3-a48e-1bf6ff174108","resolution":{"observed_at":"2026-05-11T23:21:50.086379Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.11200/citation-record","integrity":"/paper/2501.11200/integrity","json":"/paper/2501.11200/citation-record.json","paper":"/paper/2501.11200"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2311.18808","last_updated":"2023-11-30T18:52:15Z","snapshot_observed_at":"2026-08-09T17:39:14.253159Z","submitted_at":"2023-11-30T18:52:15Z","title":"Prismatic decompositions and rational $G$-spectra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18808","snapshot_observed_at":"2026-08-10T18:38:18.477619Z","title":"Balchin, T","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.477619Z"},"links":{"cited_paper":"/paper/2311.18808","citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:905807b303fa318b9e8962a323c56d0ca90b08440f6e3b242721371348ef5cf8","observation_id":"0cca77b2-b4d1-4ef7-903b-ead51bef1eb7","resolution":{"observed_at":"2026-08-10T18:38:18.477619Z","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":"2026-08-10T18:38:19.247172Z","title":null,"venue":null,"work_id":"013f6689-15c1-46a0-b640-5d6c1296d50b","year":2020},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.483346Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:cd02dbc4e7f44a7c297759a89bd5248092aa4160be4eb1d8c557f27c7333c919","observation_id":"1327d082-dabd-4f0d-a7a8-89e86ccb8a11","resolution":{"observed_at":"2026-08-10T18:38:19.252657Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T18:38:19.227835Z","title":null,"venue":null,"work_id":"619416db-9068-4ffa-aa91-14bb0d7d0133","year":2022},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.488592Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:e8ec2d23503d34e9f156237e93fd8dcae4f0bafa0a8f3676010665afc9d6132a","observation_id":"907153d3-5ab8-4a73-80e1-a4604da8bcac","resolution":{"observed_at":"2026-08-10T18:38:19.233019Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T18:38:18.494270Z","title":"Greenlees, and Magdalena K¸ edziorek","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.494270Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:2c0eba663b99c84babb6d1c7db2c4069c45f5a94c32701f458098aa996cbe34f","observation_id":"50ca66cd-b0ce-4ffe-9b2d-e308d61119ec","resolution":{"observed_at":"2026-08-10T18:38:18.494270Z","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":"2026-08-10T18:38:19.196354Z","title":null,"venue":null,"work_id":"6ba7ecfc-bd53-450a-81e4-3ad7ffe983aa","year":1996},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.500893Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:93f5dd9b51eac463767dc4074960d55b1836e2eb46cf8a90ac3df13150286fd0","observation_id":"54dd5ac4-c90e-448e-b34c-7cbfbbf8efe3","resolution":{"observed_at":"2026-08-10T18:38:19.201530Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T18:38:19.173022Z","title":null,"venue":null,"work_id":"540fcbca-4274-491a-b6d2-d21d717bc9ca","year":1998},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.506384Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:605f2981b57f2532d40eacdff272882ac4f92ab6bc6b1526929282226ced02a6","observation_id":"1693a9d4-51a5-4794-af18-93b06e9f0e7a","resolution":{"observed_at":"2026-08-10T18:38:19.179388Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T18:38:19.150945Z","title":null,"venue":null,"work_id":"6c525196-498a-4a96-b187-b4aa6369993a","year":1996},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.512527Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:bfa8dbc944f813bf978b9c8aef0d2f2ea62ccfad7ba409615f63b2eb8442a7f4","observation_id":"d7c749e1-89e0-4b93-90a0-ffdf8c36c608","resolution":{"observed_at":"2026-08-10T18:38:19.156318Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T18:38:19.131439Z","title":null,"venue":null,"work_id":"2921f46f-6891-49dc-b6fc-d3257512a910","year":1999},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.518545Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:285cb97f3cee6319918abd55f3b91007a717bb699245db1fb090649b03f9f97a","observation_id":"4abf391c-1171-47c3-82bc-74b4e6d0fb02","resolution":{"observed_at":"2026-08-10T18:38:19.138176Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T18:38:18.524388Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.524388Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:a08702fe13dd8abb2794748b4c2ec9c3e23e52fac236f27cac02714f5ab752d5","observation_id":"315ac5f3-6000-4a2b-9088-6d1542f4204f","resolution":{"observed_at":"2026-08-10T18:38:18.524388Z","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":"2026-08-10T18:38:19.097821Z","title":null,"venue":null,"work_id":"016dbcae-f7f2-4ed1-82d6-a72d8d89d964","year":1953},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.529873Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:1de9edf9ab3b218b848177a230ae8d25b965feeda2d87c4d98437d7b12071df8","observation_id":"36a45212-d27e-41e4-a4b9-55c6695a9e6c","resolution":{"observed_at":"2026-08-10T18:38:19.104528Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T18:38:19.076969Z","title":null,"venue":null,"work_id":"307be2d9-429e-4c4e-996f-297e8c0ee4f9","year":2018},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.535106Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:f59da37cb2e06865477e5cfcd39806732dd57cf8abf5cadd1a1443428624d63e","observation_id":"a1fa2bef-bb11-43e5-a533-c77a2cb3e90f","resolution":{"observed_at":"2026-08-10T18:38:19.082960Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T18:38:19.057191Z","title":null,"venue":null,"work_id":"d85b6d33-c0e5-413e-bac9-a883b4c70676","year":2019},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.540646Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:d321b1428a545e77d9ff2a96f77389e5f67566012d2cfc5a7b8fb7656b14affc","observation_id":"2c432226-1f50-4452-aaf7-79ae1b25faa5","resolution":{"observed_at":"2026-08-10T18:38:19.063221Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T18:38:18.546165Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.546165Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:3708c54e9f400637df8193601a78caf81a3ee8e8edd75c1e548918e7ddd60a57","observation_id":"53b1ff48-f95a-4c5b-9b2e-c5d9fa48922e","resolution":{"observed_at":"2026-08-10T18:38:18.546165Z","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":"2026-08-10T18:38:19.039241Z","title":null,"venue":null,"work_id":"c48bce72-7c1b-4af0-ac89-fb681cd489ec","year":2025},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.550899Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:46abfed0237a2936c61152115ca67b7a60f244a1968ac380b541d263cfaecf51","observation_id":"4c05eb03-0b5c-4c57-95ae-62ae15de9289","resolution":{"observed_at":"2026-08-10T18:38:19.044517Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T18:38:18.556280Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.556280Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:cfd623ef63a40e662a69841576e6df09296a970a65db17cc0aacf75f0f03e093","observation_id":"b968f2a9-9d65-48e3-8d3b-f47b0dee1cd4","resolution":{"observed_at":"2026-08-10T18:38:18.556280Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:38:18.561369Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.561369Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:66f83e08f7ec7725de87291b051835a8cfda290541e72b9eb9998f8fbb6766c3","observation_id":"3a478bb0-e19b-48cd-a1b3-590ec9ef88aa","resolution":{"observed_at":"2026-08-10T18:38:18.561369Z","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":"2026-08-10T18:38:18.997781Z","title":null,"venue":null,"work_id":"d0ec7a17-13fe-4f49-b61a-c79786579c8e","year":2025},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.566806Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:83178e8fc0b4e7f54807f9abcefc47863f0491b9ebcde2ea02af122f9667c05d","observation_id":"1cf20b74-2738-4aef-9153-7ece5a75e578","resolution":{"observed_at":"2026-08-10T18:38:19.004082Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T18:38:18.571870Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.571870Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:d4c556a858b60b9103a93d8fde9bb8ddd29d7e857977c0abc91bbe1b099aedc7","observation_id":"91bba686-0245-449d-8bfa-578b7962816f","resolution":{"observed_at":"2026-08-10T18:38:18.571870Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:38:18.577325Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.577325Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:b0e2219355be8aafbc9de8a5a3a64a35a5bf6145a34289bea121fb7dcda68b38","observation_id":"8e68577d-0341-49d4-9afd-c065143f5c02","resolution":{"observed_at":"2026-08-10T18:38:18.577325Z","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":"2026-08-10T18:38:18.957122Z","title":null,"venue":null,"work_id":"fe12b744-b1b7-4f70-af1a-fbea68d7ba0f","year":2013},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.582592Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:20acf1e253fb2359cccab7131963f3391c4abac2b7bffc1d1ab443a0781f13ac","observation_id":"62f57323-902f-494c-a5a0-aa717e18e7d3","resolution":{"observed_at":"2026-08-10T18:38:18.962570Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T18:38:18.588959Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.588959Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:d2d872c5304e1dd602887c55feba6d59b709f13537e377f74262f92601ea1200","observation_id":"3dd35a02-3ff3-4d16-ac6d-8c5a2f20fe99","resolution":{"observed_at":"2026-08-10T18:38:18.588959Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:38:18.599814Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.599814Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:794b37b8a1cdad31f84b9f69412487c7cac6730621dc667fa62d117e6220856c","observation_id":"4fa69632-2c44-4986-8cb5-fc129c3b7ab0","resolution":{"observed_at":"2026-08-10T18:38:18.599814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:38:18.606630Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.606630Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:5765ab2f9d091a93dcc3fdd269917db9935bec5851939119e9d0d5b489b136cb","observation_id":"10765101-7fd6-4d8a-90d2-646ad59be29a","resolution":{"observed_at":"2026-08-10T18:38:18.606630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:38:18.613625Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.613625Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:e5cb0f6c759be9ef0ad355dd446671f5d9b198a3106ef2a8ac88dca91b173367","observation_id":"89a87dc7-7656-48ec-986a-2f08162911fd","resolution":{"observed_at":"2026-08-10T18:38:18.613625Z","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":"2026-08-10T18:38:18.886682Z","title":"The homotopy theory of complet e modules","venue":null,"work_id":"70e3eb4b-a504-4cc5-a25a-f0f90d4293b7","year":2022},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.618854Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:360c0e7c9aa8f757d7f721e44a005dad7c04df3015c1e2a0e83a18e983a21684","observation_id":"788d25a1-e848-4307-acef-9025e1d67f73","resolution":{"observed_at":"2026-08-10T18:38:18.893556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T18:38:18.868305Z","title":"HZ-algebra spectra are diﬀerential graded alg ebras","venue":null,"work_id":"9d48df4a-ab10-473b-9f52-d16be58fe3b5","year":2007},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.624972Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:ab45e110e86a39c6e1dd38cb7a75b75045e9e992eed203b7d8e3f5b574c50a1a","observation_id":"a3c06053-db99-4a7f-96eb-9ff9614a83fc","resolution":{"observed_at":"2026-08-10T18:38:18.874116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T18:38:18.843510Z","title":"Transformation groups and representation theory , volume 766 of Lecture Notes in Mathematics","venue":null,"work_id":"37df001b-76ef-44d0-a1c5-d9a0f331abe3","year":1979},"citing_paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T18:38:18.631515Z"},"links":{"citing_paper":"/paper/2501.11200"},"observation_digest":"sha256:187bdb6c9cfcde6a4fb7a975885ecbb352d886f4ca9595fb72695a97c6967625","observation_id":"5961d1de-69b2-42f3-b8fc-84535b35f935","resolution":{"observed_at":"2026-08-10T18:38:18.852209Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.11200","last_updated":"2025-01-20T00:17:29Z","latest_version":1,"primary_category":"math.AT","snapshot_observed_at":"2026-08-11T00:04:58.140677Z","submitted_at":"2025-01-20T00:17:29Z","title":"Algebraic models for 1-dimensional categories of rational G-spectra"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":24,"verified_exact":0,"verified_fuzzy":3},"total_outbound_references":27},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 4 inbound Pith citation observations for arXiv:2501.11200."}