{"as_of":"2026-08-13T08:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:37e6d6ecf57bbb088fe4db2eb985b4466c8e8570e21cb04bbb819c3dcb73efdf","coverage":[{"denominator":25,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":25,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-24T14:06:00.025620Z","state":"measured"},{"denominator":25,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":25,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2101.10262/citation-record","integrity":"/paper/2101.10262/integrity","json":"/paper/2101.10262/citation-record.json","paper":"/paper/2101.10262"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1904.07352","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The Pro-étale topology for schemes","venue":null,"work_id":"ca316f36-96dc-4aeb-863b-edae61fd871d","year":1904},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:54f7ffaa642f2498c77c9098e7d6146f1d36fb0f1e6ff7bf5aa31cb649c07654","observation_id":"8047fc89-44aa-4f47-9344-774886283bf5","resolution":{"observed_at":"2026-05-24T14:06:13.404929Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"Th \\'e orie des Groupes Alg \\'e briques (Bruxelles, 1962)","venue":null,"work_id":"06113a87-93d1-4f34-a34a-cdfddfd13b13","year":1962},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:57038a38cb5f27a6de40584857490c7ecec69a07285e5dd87f08be8d2847284b","observation_id":"30a2e8d6-9e3b-414d-a334-1e7496a823f6","resolution":{"observed_at":"2026-05-24T14:06:13.507235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"3, 550--577","venue":null,"work_id":"1a85bb66-e53a-401b-9eec-0b20b5f63f52","year":2008},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:7cac80423e7e8d0d45cf4ed1fbd632544433ad14671e3d15f28503b0c6bd48bc","observation_id":"4e1360a0-7da7-4900-907c-ebb6006d9554","resolution":{"observed_at":"2026-05-24T14:06:13.486698Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2005.04746","last_updated":"2024-04-30T20:35:22Z","snapshot_observed_at":"2026-08-08T22:00:44.558881Z","submitted_at":"2020-05-10T18:40:59Z","title":"Prismatization","version":7},"cited_work":{"arxiv_id":"2005.04746","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2005.04746","snapshot_observed_at":"2026-07-04T09:49:43.978594Z","title":"A proof of the absolute purity conjec ture (after Gabber)","venue":null,"work_id":"b2810a36-fc3c-4b12-a23f-68930cb73b9c","year":2024},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"cited_paper":"/paper/2005.04746","citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:cd85a64f2ed7f1888f2b6772c993a2bbe7c572f338fe9e02d47d5d5fb95e8137","observation_id":"2849734c-3c2d-4a73-9e48-29cc804afdca","resolution":{"observed_at":"2026-05-24T14:06:13.354423Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"volume II : Deformations, lie theory and formal geometry , American Mathematical Soc (2017)","venue":null,"work_id":"5a0fa4d2-d247-41aa-a4a8-d8c5603cd841","year":2017},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:e57f6174a253ba105256a72f5fc549f7d04d9ce84e56d19c9dfdbd27785dd9ca","observation_id":"6c35892f-807f-4472-8a4e-6bc344e8cb4a","resolution":{"observed_at":"2026-05-24T14:06:13.502966Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"78, Elsevier","venue":null,"work_id":"9cb265c9-351a-45e1-8671-15feebd9a999","year":1978},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:928acf650b9b2a961e54117dfb0ec5fea57935dc4c4baafa9a56ad4abafb24b9","observation_id":"d46488f8-48cb-49dd-8d3f-942434ca8c5d","resolution":{"observed_at":"2026-05-24T14:06:13.475038Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1402.3204","last_updated":"2019-07-29T17:57:11Z","snapshot_observed_at":"2026-07-06T03:35:54.480381Z","submitted_at":"2014-02-13T16:33:34Z","title":"Mapping stacks and categorical notions of properness","version":2},"cited_work":{"arxiv_id":"1402.3204","doi":null,"metadata_source":"pith","pith_arxiv_id":"1402.3204","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Mapping stacks and categorical notions of properness","venue":"math.AG","work_id":"28e0022c-4836-4088-8465-5a48b8ee2715","year":2014},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"cited_paper":"/paper/1402.3204","citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:aefaeb45db2ca7bc5bf5fc1c50e4597933004917d0300e2368b239c6c181ae94","observation_id":"a6ed9827-8f60-440f-9604-e4ff6249e69e","resolution":{"observed_at":"2026-05-24T14:06:13.379952Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1802.05702","doi":"10.48550/arxiv.1802.05702","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"arXiv e-prints , keywords =","venue":"arXiv (Cornell University)","work_id":"a9fc2961-f0d4-41d7-bb12-e7b57df9135b","year":2018},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:d0056ce208e310d0f9b159d3c908b139466650a9252f685e4ea77785a4067a52","observation_id":"9d263a13-4036-4b37-ad24-daad5d9fde80","resolution":{"observed_at":"2026-05-24T14:06:13.399089Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"2a9123d0-aa41-47b1-a5ac-ed2efb9b80c5","year":2017},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:662e156c5c22e5ef1610bc07fcc833497c500db6df6423d48b5bffdeaa96b045","observation_id":"ffd26ade-e92a-4ef4-bcd3-f6ae2306f165","resolution":{"observed_at":"2026-05-24T14:06:13.521787Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a1f3820f-d216-427f-b43d-4bf57fc89202","year":2009},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:82abcebd69c74b1c278b3b54e3cdd7f4e4b1ca9b68752584548cc38c6a5e1b3a","observation_id":"33a05f38-16b6-4ca2-91eb-0d4ad9696113","resolution":{"observed_at":"2026-05-24T14:06:13.470908Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1f83807e-7992-484e-8166-cdd860e5a8f0","year":2015},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:892ea33b0b2fba38cacc2c71ad51a6a8d2c9a0d49076aa876e69511b19354b07","observation_id":"0d0b9f1e-1153-446a-83b8-13378e2ac104","resolution":{"observed_at":"2026-05-24T14:06:13.499202Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"60b6426d-2ea7-41ac-9cee-a3a81d1b6a7c","year":2016},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:28fea0ab729d269530a4a497ba9559eafceebdaa2237919f1f4ef1b4dd0c3130","observation_id":"1ec96c79-501d-4d9b-9287-3e52e639ed92","resolution":{"observed_at":"2026-05-24T14:06:13.495132Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"b0da615b-a40a-4227-8b26-26bdf672f52d","year":2018},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:4f3fdaecf083b899277b75bf58ede7ce385d7aef805f6904871eaae3f1358f5c","observation_id":"99ac35a2-7d77-451f-859e-d16ca0146664","resolution":{"observed_at":"2026-05-24T14:06:13.511176Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.08697","last_updated":"2021-05-29T23:28:38Z","snapshot_observed_at":"2026-08-04T12:44:02.556433Z","submitted_at":"2020-03-19T11:37:25Z","title":"Perfectoid rings as Thom spectra","version":2},"cited_work":{"arxiv_id":"2003.08697","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2003.08697","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"422b8df9-9416-436c-b6b2-a9813f728758","year":2003},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"cited_paper":"/paper/2003.08697","citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:de7073b20810e83dcc89a3aa7d1cc9fc7fdb2ad37aac847924243a50bb6394e9","observation_id":"7ebea318-9bfa-4c9d-92cf-1eb7a42e5790","resolution":{"observed_at":"2026-05-24T14:06:13.369495Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.13562","last_updated":"2021-07-01T17:53:42Z","snapshot_observed_at":"2026-08-05T13:21:20.980366Z","submitted_at":"2019-07-31T15:43:36Z","title":"The geometry of filtrations","version":2},"cited_work":{"arxiv_id":"1907.13562","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1907.13562","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"15d4d494-39da-4e7d-b200-e314e1c0e472","year":1907},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"cited_paper":"/paper/1907.13562","citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:47b7e3229642f910ecd7a94dead819364fece7ecdf722e23b041fce3aa3e303a","observation_id":"2691c433-a01c-42e5-8b63-7abe732ec434","resolution":{"observed_at":"2026-05-24T14:06:13.386617Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1906.00118","last_updated":"2021-03-11T21:50:51Z","snapshot_observed_at":"2026-08-10T00:00:40.274752Z","submitted_at":"2019-05-31T23:16:33Z","title":"A Universal HKR Theorem","version":3},"cited_work":{"arxiv_id":"1906.00118","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1906.00118","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f57087e3-0de9-4e2b-8517-4ae56915537d","year":1906},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"cited_paper":"/paper/1906.00118","citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:9422e0d20ac848cc7dcc7fe50e87943c62d6dad9bb190f6d861f2f273b8681de","observation_id":"78d1ffb7-4b50-4959-b808-436e834d33ef","resolution":{"observed_at":"2026-05-24T14:06:13.410644Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2007.02576","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T06:17:41.202651Z","title":"[SAG] Jacob Lurie","venue":null,"work_id":"f26a0eb5-60ef-4f7c-b03b-f69735c55fa5","year":2007},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:6afcd61aa9f1f326b22b0479e1e196f94789dedfc9a64363203fe1b54be52167","observation_id":"e78d5282-b9ac-48bb-b3b1-2bb8bf237150","resolution":{"observed_at":"2026-05-24T14:06:13.344812Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"2, 203--240","venue":null,"work_id":"3bbd5a89-a3af-47d9-acb9-1c2cf1293148","year":2001},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:963a6cb86a242b8a9f837e6feb35078356ecafa90343250755be3201b284cdda","observation_id":"111e2d24-3e3c-4cd4-8dbc-87f7b4d72154","resolution":{"observed_at":"2026-05-24T14:06:13.490836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"39bac727-947f-429e-89bb-4ee029967abe","year":1999},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:7527b85a7d20753ee58918aff5de4fc6c06664eb4d4dcf90aa78ea1e5a7b1d27","observation_id":"dadb0454-4774-44e7-abfa-28eb3c054807","resolution":{"observed_at":"2026-05-24T14:06:13.514725Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"1, 39--134","venue":null,"work_id":"fcbb136d-e05c-46a5-bbf7-ca33fc5d4ddb","year":2006},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:96433d5ba7d433656c6e3cd4b9ca632b31badd42bc95d98f9de93e1343367414","observation_id":"8ddd25b9-40ef-4f3b-a930-0d4b44ef325e","resolution":{"observed_at":"2026-05-24T14:06:13.479032Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1401.1044","last_updated":"2014-09-12T09:24:25Z","snapshot_observed_at":"2026-07-06T03:32:32.112834Z","submitted_at":"2014-01-06T11:16:08Z","title":"Derived Algebraic Geometry","version":2},"cited_work":{"arxiv_id":"1401.1044","doi":null,"metadata_source":"pith","pith_arxiv_id":"1401.1044","snapshot_observed_at":"2026-07-04T03:19:31.664566Z","title":"Derived Algebraic Geometry","venue":"math.AG","work_id":"8351ff19-ccd6-4d2f-9ad2-14d6d327b571","year":2014},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"cited_paper":"/paper/1401.1044","citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:6835b59e7ff915fb0a116c92186142e1e26c92ec978066f7d6cc7c8e7a755f7f","observation_id":"6f8c754f-11ce-4025-a8a7-66845f31b5a1","resolution":{"observed_at":"2026-05-24T14:06:13.374893Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1911.05509","last_updated":"2020-10-02T09:14:06Z","snapshot_observed_at":"2026-08-10T23:24:18.293300Z","submitted_at":"2019-11-13T14:41:22Z","title":"Le probl\\`eme de la sch\\'ematisation de Grothendieck revisit\\'e","version":3},"cited_work":{"arxiv_id":"1911.05509","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1911.05509","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"7a5abcba-97d8-4886-95b2-0875f133a96f","year":1911},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"cited_paper":"/paper/1911.05509","citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:e3aa9e6cef8963e6cdd59f7cd1abd537ce2a9bf0255998d63c1b55ba3c156755","observation_id":"01ea326b-eb11-481d-b4a7-4cbb57c80d85","resolution":{"observed_at":"2026-05-24T14:06:13.393340Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.10489","last_updated":"2020-08-24T14:49:56Z","snapshot_observed_at":"2026-08-01T19:55:37.273962Z","submitted_at":"2020-08-24T14:49:56Z","title":"Classes caract\\'eristiques des sch\\'emas feuillet\\'es","version":1},"cited_work":{"arxiv_id":"2008.10489","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2008.10489","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Classes caractéristiques des schémas feuilletés","venue":null,"work_id":"9ad47d0e-8793-4bdb-b2bf-7d9f19432d2d","year":2008},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"cited_paper":"/paper/2008.10489","citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:f8695a9d38281fdb21600ea0e0114c036db1ae78d6280c911c7d45ff937002a0","observation_id":"37cc88ec-ca1a-41dd-b3f5-0f1d00a15620","resolution":{"observed_at":"2026-05-24T14:06:13.361845Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"2, American Mathematical Soc","venue":null,"work_id":"c5d2c860-64d3-4431-b3c7-4adf154f07d7","year":2008},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:aa851046c489a1bdc1d4121a040f30b8596439d11cbd30316d5ff6643e4e4cc7","observation_id":"9016a58d-1e8c-4ce3-911a-f38765357a90","resolution":{"observed_at":"2026-05-24T14:06:13.518366Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"6, 1979--2000","venue":null,"work_id":"4211a3e2-12e0-4721-9aa1-09adc8037f28","year":2011},"citing_paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry","version":3},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-05-24T14:06:00.025620Z"},"links":{"citing_paper":"/paper/2101.10262"},"observation_digest":"sha256:ec21d51b6819ce8db5d518015d753b785119ccee4840540f0dd5c958f4b72f7e","observation_id":"3d897a58-65cd-4a6d-b3d2-978e2b00378a","resolution":{"observed_at":"2026-05-24T14:06:13.482957Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2101.10262","last_updated":"2024-03-02T23:28:35Z","latest_version":3,"primary_category":"math.AG","snapshot_observed_at":"2026-08-13T07:23:42.868736Z","submitted_at":"2021-01-25T17:50:10Z","title":"Filtered formal groups, Cartier duality, and derived algebraic geometry"},"reference_resolution":{"displayed":25,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":11,"verified_fuzzy":8},"total_outbound_references":25},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2101.10262."}