{"as_of":"2026-08-12T15:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:83a927ada8ebe59fa41a64a7f26a462283cc5260bfa825f4c485ef52e9a94b27","coverage":[{"denominator":16,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":16,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T14:16:07.480147Z","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":"2026-08-12T06:34:41.77262+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":"2026-08-09T17:15:37.756836Z","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":"2026-05-11T23:21:50.302905Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_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},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.15584","snapshot_observed_at":"2026-08-09T17:15:37.756836Z","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":9,"source":"pdf_text","source_observed_at":"2026-08-09T17:15:37.756836Z"},"links":{"cited_paper":"/paper/2501.15584","citing_paper":"/paper/2502.00959"},"observation_digest":"sha256:07d92733ff60fb6a607b615d673dcacbd0a26d4a05013569e747c74571e3c627","observation_id":"d46d54dc-cf8c-4a4b-8ef7-03c8ce11e8c7","resolution":{"observed_at":"2026-08-09T17:15:37.756836Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_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},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.15584","snapshot_observed_at":"2026-08-08T17:10:20.875432Z","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":9,"source":"pdf_text","source_observed_at":"2026-08-08T17:10:20.875432Z"},"links":{"cited_paper":"/paper/2501.15584","citing_paper":"/paper/2502.06017"},"observation_digest":"sha256:9f9a8b04cc9d6044387e06cb8d4f58445557d83ce9ff57dd97e76cc84c245582","observation_id":"a3806edc-c904-4f7f-8d55-47b803f37777","resolution":{"observed_at":"2026-08-08T17:10:20.875432Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_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},"cited_work":{"arxiv_id":"2501.15584","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.15584","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"ef8b79e9-acdb-4ef6-9723-09e067a98d8c","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":12,"source":"pdf_text","source_observed_at":"2026-05-07T17:10:08.085946Z"},"links":{"cited_paper":"/paper/2501.15584","citing_paper":"/paper/2604.25005"},"observation_digest":"sha256:059e6278cacf0404b3b9725cb8d3e53692d6b915c9dfb08da3e812b09a711949","observation_id":"3475d506-603b-4735-9fe2-9f63fb6e1aec","resolution":{"observed_at":"2026-05-11T23:21:50.379377Z","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/2501.15584/citation-record","integrity":"/paper/2501.15584/integrity","json":"/paper/2501.15584/citation-record.json","paper":"/paper/2501.15584"},"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":"2026-08-10T14:16:07.413602Z","title":"Balchin, T","venue":null,"work_id":null,"year":2023},"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":1,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.413602Z"},"links":{"cited_paper":"/paper/2311.18808","citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:be61b03e4383ce82cdd0c487f28c79b2440acf4ca4789c317d56df9fd519e0db","observation_id":"7a0ca7d9-cfa7-44b7-8e70-645f95ec1fb7","resolution":{"observed_at":"2026-08-10T14:16:07.413602Z","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":"2026-08-10T14:16:07.420666Z","title":"Greenlees, and Magdalena K¸ edziorek","venue":null,"work_id":null,"year":2019},"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":2,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.420666Z"},"links":{"citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:5b3f3d7e99c8db31fcccff82f5a6f88349eca7f92896123b54e626c244b4e9e9","observation_id":"0244305d-dc31-4a3e-8ccd-a80c00abd114","resolution":{"observed_at":"2026-08-10T14:16:07.420666Z","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":"2026-08-10T14:16:07.426986Z","title":null,"venue":null,"work_id":null,"year":2006},"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":3,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.426986Z"},"links":{"citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:74b06312291075ce43fa91fd87cfb6e917b4a8e3d6ef6218f1d6f70c2948bf48","observation_id":"aa7eb4ee-fc27-4ff6-9c42-a9bf33d3b4fa","resolution":{"observed_at":"2026-08-10T14:16:07.426986Z","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":"2026-08-10T14:16:07.433455Z","title":null,"venue":null,"work_id":null,"year":1953},"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":4,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.433455Z"},"links":{"citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:dee8f39394a10af3df6e0b03ad92758c505c48631bbca938770da2e7a8d1b374","observation_id":"6b7de12d-d2f9-471d-a447-1f580bd0ed7f","resolution":{"observed_at":"2026-08-10T14:16:07.433455Z","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":"2026-08-10T14:16:07.437946Z","title":null,"venue":null,"work_id":null,"year":2019},"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":5,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.437946Z"},"links":{"citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:ec278a65153da51db877c17bdc4ed57e14c310c2b957aed697c38a4e86e78623","observation_id":"d6bd657e-a9e6-48b2-8d90-bc4e9811cf6d","resolution":{"observed_at":"2026-08-10T14:16:07.437946Z","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":"2026-08-10T14:16:07.442376Z","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":6,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.442376Z"},"links":{"citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:98d23bcca39c702132940302cf12714c89feeace8ee52fed46d547ba8f33050a","observation_id":"ab80c493-bf0b-4639-81f1-fd4579350399","resolution":{"observed_at":"2026-08-10T14:16:07.442376Z","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":"2026-08-10T14:16:07.446559Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:16:07.691690Z","title":null,"venue":null,"work_id":"d6b32884-c5f0-4fc1-868d-8a22ea9a22d9","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":8,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.450579Z"},"links":{"citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:425dd71d36b56b17dacfda43e3cd11e491cda103ddca49602ca67410d174b51e","observation_id":"5bdf6141-d7e9-4b93-be7c-5177ca41002c","resolution":{"observed_at":"2026-08-10T14:16:07.695466Z","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":"2026-08-10T14:16:07.454146Z","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":9,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.454146Z"},"links":{"citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:2f8ac4087a967e750e4ee8b8575fba0657e3e41f2d4255c9f86c65d468f126ac","observation_id":"7695c5f6-38df-4b12-a430-1ac6fe44ef4f","resolution":{"observed_at":"2026-08-10T14:16:07.454146Z","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":"2026-08-10T14:16:07.457777Z","title":null,"venue":null,"work_id":null,"year":null},"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":10,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.457777Z"},"links":{"citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:ab06ee4cfffefe2fb41146e5a5608c9e36637a245a587b1d852a2e0f059e63c3","observation_id":"216a9ae5-13f9-4485-9f13-bc3fd1482cd3","resolution":{"observed_at":"2026-08-10T14:16:07.457777Z","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":"2026-08-10T14:16:07.461584Z","title":null,"venue":null,"work_id":null,"year":null},"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":11,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.461584Z"},"links":{"citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:b9b877c52a2a79bda7c0ea71b6657ddbd4fe5df71600aeeee976120fe62a6a61","observation_id":"ed85805f-36d2-41a5-aebd-9bd301214125","resolution":{"observed_at":"2026-08-10T14:16:07.461584Z","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":"2026-08-10T14:16:07.465520Z","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":12,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.465520Z"},"links":{"citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:371efc39e604cfc6f4d1367ec73058c306f11df6f2ed693d3e4d1eca54a14953","observation_id":"f9e3cfab-d286-4253-bf4d-fba21e29b694","resolution":{"observed_at":"2026-08-10T14:16:07.465520Z","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":"2026-08-10T14:16:07.650551Z","title":null,"venue":null,"work_id":"7313c85f-1f50-4f77-b08b-0b0616d457d2","year":2014},"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":13,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.469522Z"},"links":{"citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:29bfee86d38c6d07430d9d525e75be14129fc61d4feb98836fcfd2850251054e","observation_id":"c7bdc7b9-e9c7-424c-b20d-129b4bdccbab","resolution":{"observed_at":"2026-08-10T14:16:07.654623Z","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":"2026-08-10T14:16:07.637435Z","title":null,"venue":null,"work_id":"1ae61583-5a91-40e7-a866-003c6fb03058","year":2014},"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":14,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.473022Z"},"links":{"citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:5baeda8d1562e96b64a3c0cb246b6622cc7fea2ace303d087e02dacf28eb40f4","observation_id":"11709be8-d898-4201-b0cf-e8f467899c10","resolution":{"observed_at":"2026-08-10T14:16:07.641498Z","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":"2026-08-10T14:16:07.476480Z","title":null,"venue":null,"work_id":null,"year":2018},"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":15,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.476480Z"},"links":{"citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:fc60e9624f7074bbc1fa3f98e2613c95e662189079d4eefa5e2a7fd5e21e9bb6","observation_id":"6fde4e58-d7f1-4979-855d-9ea3a524bc8e","resolution":{"observed_at":"2026-08-10T14:16:07.476480Z","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":"2026-08-10T14:16:07.613373Z","title":"HZ-algebra spectra are diﬀerential graded alg ebras","venue":null,"work_id":"5b35d0ae-faef-40bd-a8be-7c775e317c01","year":2007},"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":16,"source":"pdf_text","source_observed_at":"2026-08-10T14:16:07.480147Z"},"links":{"citing_paper":"/paper/2501.15584"},"observation_digest":"sha256:d6eaf35db4c732a31d58457cddf336e8676be308e36727434529b12f8c095955","observation_id":"251babdd-dec0-42e5-8fd0-675ce57fb2d5","resolution":{"observed_at":"2026-08-10T14:16:07.619122Z","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":"2501.15584","last_updated":"2025-01-26T16:20:40Z","latest_version":1,"primary_category":"math.AT","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"},"reference_resolution":{"displayed":16,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":0,"verified_fuzzy":1},"total_outbound_references":16},"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 16 of 16 outbound references and 3 inbound Pith citation observations for arXiv:2501.15584."}