{"as_of":"2026-08-09T00:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f4148cbcfe4f34885d8441452a047f821e5e7988a9b97a02a69699195165fb0f","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:32:08.145151Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2507.00309/citation-record","integrity":"/paper/2507.00309/integrity","json":"/paper/2507.00309/citation-record.json","paper":"/paper/2507.00309"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:32:08.677476Z","title":"Topological modular and automorphic forms","venue":null,"work_id":"e307f800-426a-488d-873f-ffc001f4089a","year":2020},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.013848Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:e36cec22c0097ed25a236f5b449a381f0a3c2b8e871e5ae77bd6c28f6302ac83","observation_id":"f3f13ecc-a0b6-486c-898d-3a64433b456f","resolution":{"observed_at":"2026-08-06T21:32:08.683304Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.019375Z","title":"Topological automorphic forms","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.019375Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:d5f430529c801a19baedfe3ee5eafc8cd3ece9005d39460a7c87aed67471df1e","observation_id":"d88fcd9c-c58d-479a-9ed5-93677a9a93db","resolution":{"observed_at":"2026-08-06T21:32:08.019375Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.00960","last_updated":"2025-09-09T19:08:09Z","snapshot_observed_at":"2026-08-06T05:19:43.284576Z","submitted_at":"2024-02-01T19:26:39Z","title":"On the rationalization of the $K(n)$-local sphere","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.00960","snapshot_observed_at":"2026-08-06T21:32:08.025358Z","title":"On the rationalization of the k (n) -local sphere","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.025358Z"},"links":{"cited_paper":"/paper/2402.00960","citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:e1fc5f1250cb648266bed5838ca56c8f70a50d836a43d441d913ddb99de61ba3","observation_id":"ef248e96-d59d-4bc1-a576-de2f96d47348","resolution":{"observed_at":"2026-08-06T21:32:08.025358Z","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":"2026-08-06T21:32:08.642830Z","title":"Sur les repr´esentations -adiques attachees aux formes modulaires de hilbert","venue":null,"work_id":"bfa981b6-fdf9-4182-bfb6-643150662173","year":1983},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.030594Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:dde808c265f5a3443455206d28f4fbe99afe80cf5a4632614443318997befede","observation_id":"beccafc5-19b0-4928-983d-26b769460adf","resolution":{"observed_at":"2026-08-06T21:32:08.648815Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.620875Z","title":"Nonabelian lubin-tate theory, in automorphic forms, shimura varieties, and l-functions, vol ii","venue":null,"work_id":"da94dbef-5a3d-4354-affb-f31e79111c05","year":1990},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.036814Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:e97fd2dc67bca8f6e9ec91faa47e0e84cf81969ff1119214fe6db6012713f800","observation_id":"ddc823e6-671f-4283-a02a-5d80fc073be1","resolution":{"observed_at":"2026-08-06T21:32:08.626989Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.601452Z","title":"Correspondance serre–tate","venue":null,"work_id":"3fed3c69-7320-43c4-afad-5a8b992cf44b","year":2015},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.044131Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:f69fb2d03f37da89e9477a9620067fcb901ea0429951bba85d607f6f3ae9024f","observation_id":"d1011d98-cd77-4d70-910a-fd214c8ca112","resolution":{"observed_at":"2026-08-06T21:32:08.607638Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.574830Z","title":"Stacks project","venue":null,"work_id":"7a9cf884-8cf3-4198-addb-860d9391ca8e","year":null},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.050132Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:d875502148a6d99e724395a34fb33af7f644e43de1d0d4d98603fbd1d51363d3","observation_id":"e0b1f074-8324-4d3e-b19a-ab542dde5605","resolution":{"observed_at":"2026-08-06T21:32:08.582791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.554661Z","title":"Formal algebraic stacks","venue":null,"work_id":"4d2cb90c-7b9c-4b7e-8b77-2dc219f16d18","year":2020},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.055290Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:19bab896b0dcb48c78201accaec0d47b804e615bd448a337bca89ea5d5bf7e96","observation_id":"58fd10d7-eb76-4de3-ae0b-ac97bc4f3ea8","resolution":{"observed_at":"2026-08-06T21:32:08.560330Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.530323Z","title":"Arbeitsgemeinschaft: Elliptic cohomology according to lurie","venue":null,"work_id":"86a1860e-9bc1-4e3d-ae33-560893c4b4d0","year":2020},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.059718Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:1b44284c0665b72aa25b271da83db99ed97d0c8d6c4779f6c747218321b9b4a9","observation_id":"273184c3-e644-49e7-963d-206d95795988","resolution":{"observed_at":"2026-08-06T21:32:08.536644Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.510027Z","title":"Gorbounov and M","venue":null,"work_id":"956991e7-400e-47da-80fc-676182942476","year":2000},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.064480Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:7d3c097f2c25d3c713fb6711581b56f712ea4836d1a913fc4acda27d7893c485","observation_id":"5c9c8590-5843-4175-9aa7-78686bfb5ca3","resolution":{"observed_at":"2026-08-06T21:32:08.514877Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0802.0996","last_updated":"2008-02-07T15:03:45Z","snapshot_observed_at":"2026-07-06T01:37:57.257801Z","submitted_at":"2008-02-07T15:03:45Z","title":"Quasi-coherent sheaves on the moduli stack of formal groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0802.0996","snapshot_observed_at":"2026-08-06T21:32:08.069219Z","title":"Quasi-coherent sheaves on the moduli stack of formal groups","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.069219Z"},"links":{"cited_paper":"/paper/0802.0996","citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:4e522b07184c6ba442caaa3a12edfdf590e281837316e2e83c17df8c61d2513b","observation_id":"6e834207-f068-4fdc-ad9e-51c9ffcf089a","resolution":{"observed_at":"2026-08-06T21:32:08.069219Z","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":"2026-08-06T21:32:08.491974Z","title":"Computational methods for higher real k-theory with applications to tmf","venue":null,"work_id":"3c65a60a-7289-41e9-ad7b-2baf330ca9d3","year":2006},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.074301Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:da65354ab402b9c86f44f92a86f39b810e3d36b81761d1a0b143398ec28ba662","observation_id":"2bc1abc6-49d5-484c-ab5e-be0f2ad5a5d2","resolution":{"observed_at":"2026-08-06T21:32:08.497415Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.472689Z","title":"Automorphic forms and cohomology theories on S himura curves of small discriminant","venue":null,"work_id":"2db68e33-03ab-4ae5-83ff-804ecbce491f","year":2010},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.079220Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:5e8db9db92d47dd4daaa7299ea264e00e742e4d9a63b8ad9f081a29f50b50fca","observation_id":"cbe3accc-e84f-46b2-933f-9e5e42b5698b","resolution":{"observed_at":"2026-08-06T21:32:08.479198Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.452150Z","title":"6-functor formalisms and smooth representations","venue":null,"work_id":"5460173c-e8ea-4323-bb47-591c1907b333","year":null},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.083504Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:c5b1641bb3f344413bea48e41e8959f988cc62345704b5058346cabf9b2fb8e3","observation_id":"673b10d8-f358-44ba-bb6a-fcb7c7dc2f25","resolution":{"observed_at":"2026-08-06T21:32:08.458014Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.434737Z","title":"Lubin and J","venue":null,"work_id":"2610fe14-a91b-42f5-ae1a-21c446ad3098","year":1966},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.088748Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:a40401024fad4094ba54a6bd98cc2dc932a4ae81f3a15f5f48c53013b4916bd0","observation_id":"4a425f22-09d2-4710-9cbc-94eebfd41647","resolution":{"observed_at":"2026-08-06T21:32:08.440189Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.413319Z","title":"Elliptic cohomology ii: Orientations","venue":null,"work_id":"020c694a-5a86-4dad-801d-21ecceb523e2","year":null},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.093597Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:6ea6f706b1b89d0baca1e9172a089f73bae4350aa4d86008583c56866091254d","observation_id":"d0b1af9a-f1da-4871-aa8b-3790398daa6d","resolution":{"observed_at":"2026-08-06T21:32:08.419229Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.393436Z","title":"A survey of elliptic cohomology","venue":null,"work_id":"ff25bb9d-7c56-458e-a5fa-434dab2205f1","year":2007},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.098280Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:db0eff9e2e4432dd933432a0d4a4da861a3d397150b6025b8934fe9368bf3979","observation_id":"76c16551-73c1-4385-8c33-bfba886197fa","resolution":{"observed_at":"2026-08-06T21:32:08.398730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.373649Z","title":"Topological modular forms with level structure: decompositions and duality","venue":null,"work_id":"9318943a-6945-4726-8dd0-329d987e3a59","year":2022},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.103328Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:33aef7f1183299921a4f64b701ed905384f326f3711bcdf82d43a985a84f3b7a","observation_id":"ff7b4a37-c8a9-43fa-a63d-5d784403c484","resolution":{"observed_at":"2026-08-06T21:32:08.378714Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.355508Z","title":"Forms of K -theory","venue":null,"work_id":"2b1f87ad-07af-4339-9dec-f2cf1da59858","year":1989},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.107743Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:a13b1be41e760b267d2b958c6308fa92b68365a9a8d015c6ece195aed873d920","observation_id":"7826beb5-8f8d-41b4-ac19-aee061eee103","resolution":{"observed_at":"2026-08-06T21:32:08.360773Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.338068Z","title":"The hecke orbit conjecture: A survey and outlook","venue":null,"work_id":"955623d4-187e-4e6d-9321-4b545c21cd92","year":2017},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.114790Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:4f2b7700146a561c30435ea95aa4d7aee05d01fc636559a81127b2767f1fad8a","observation_id":"309c6f3b-8af5-4bf1-9374-4a378d161a32","resolution":{"observed_at":"2026-08-06T21:32:08.343946Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.315800Z","title":"Finite height chromatic homotopy theory","venue":null,"work_id":"5c4bea62-bb65-430b-bf22-fecc29c50dbb","year":null},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.119817Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:1638f2355e8b4b0125ee6b377a13996d9e98288ae0d6dd156f6582ee4d240679","observation_id":"77c2d928-6d24-468b-bf72-f83c946ce393","resolution":{"observed_at":"2026-08-06T21:32:08.323394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.298139Z","title":"On the formal group laws of unoriented and complex cobordism theory","venue":null,"work_id":"4deb389e-7d39-4da9-9945-99272d7df07e","year":1969},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.125270Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:c7c051ad35964b82abd0db1345b218524d4ee2b8d20c76adf0e0f6a4f2d2edb0","observation_id":"97a4a4b3-94e1-44e2-9644-99aefc244932","resolution":{"observed_at":"2026-08-06T21:32:08.302927Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.131011Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.131011Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:c79f3521cd21e97b87697b3ad43a01fe84a084fece496d84ac749186c4129e8b","observation_id":"818f469a-0a59-42a1-b2b7-daf2b8727b06","resolution":{"observed_at":"2026-08-06T21:32:08.131011Z","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":"2026-08-06T21:32:08.268616Z","title":"Rapoport and Th","venue":null,"work_id":"66ea3e7a-6687-44ae-a9b7-637b28111c0f","year":1996},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.135502Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:2577714f151b315ff88da488c1043c96ee59d028fc77a84cb160006d994b67a4","observation_id":"dea79d06-7a40-4d92-89bc-5ceaf92a839e","resolution":{"observed_at":"2026-08-06T21:32:08.273866Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:32:08.139992Z","title":"Duality for topological modular forms","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.139992Z"},"links":{"citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:fa97e3b42ed633fc502ec4b7e881d5994c91e7e4a8a9a465cf1d5861857e9b2a","observation_id":"d61a1990-8434-4248-a8e4-82e33790940d","resolution":{"observed_at":"2026-08-06T21:32:08.139992Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1507.05116","last_updated":"2015-07-17T20:58:15Z","snapshot_observed_at":"2026-07-06T04:24:12.837728Z","submitted_at":"2015-07-17T20:58:15Z","title":"Orientations and Topological Modular Forms with Level Structure","version":1},"cited_work":{"arxiv_id":"1507.05116","doi":null,"metadata_source":"pith","pith_arxiv_id":"1507.05116","snapshot_observed_at":"2026-08-06T21:32:08.195300Z","title":"Orientations and Topological Modular Forms with Level Structure","venue":"math.AT","work_id":"42b433e9-ffbd-491c-90b5-de8e35d5fd84","year":2015},"citing_paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-06T21:32:08.145151Z"},"links":{"cited_paper":"/paper/1507.05116","citing_paper":"/paper/2507.00309"},"observation_digest":"sha256:40f029b2669722db5e1be3478b80e6f5c37c2ce2e4f84eed3bcf4a54769d7c5d","observation_id":"9211ad9e-810a-4931-ba00-cf8469b2ca92","resolution":{"observed_at":"2026-08-06T21:32:08.203219Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.00309","last_updated":"2025-06-30T22:48:50Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-06T21:17:03.267049Z","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":1,"verified_fuzzy":20},"total_outbound_references":26},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2507.00309."}