{"as_of":"2026-08-13T04:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6a5f3a5f42ecca12040b7f24a140335e37d7e8489795c811ffa60d33f72e7c49","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":"2026-08-12T06:34:41.77262+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":"2026-08-13T04:18:47.473760Z","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:e208ab26a4f3de3a2a943323ffa50fda001dcc640de6411fa9c0193062302fc6","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 2026-08-12T06:34:41.77262+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":"2026-06-05T21:23:00.469572Z","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":"2026-08-13T04:18:47.473760Z","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:d0d4797bb23eb10d69056d105c4ad75b3a633d973b742997a0b7439b22d57775","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 2026-08-12T06:34:41.77262+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":"2026-06-05T21:23:00.469572Z","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":"2026-08-13T04:18:47.473760Z","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":"sha256:0a7a220c24683083b2d5608fc4ba3f42c8fa02f6911154a7bcbe4f034794dc3b","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 2026-08-12T06:34:41.77262+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":{"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":"2026-08-13T04:18:47.473760Z","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:b8b7e63dc7a80bd275326edc949a6303d8947350acf539d7c5c85d0bdfab3997","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 2026-08-12T06:34:41.77262+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":"2026-06-05T21:23:00.469572Z","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":"2026-08-13T04:18:47.473760Z","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":"sha256:1a2050d6e2ac4c3624fa3ec2d283fb404c1d0d370b66020ecac1941cc3bec55c","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 2026-08-12T06:34:41.77262+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":"2026-06-05T21:23:00.469572Z","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":"2026-08-13T04:18:47.473760Z","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:ba59399dae0e544a7886a2f9d00a6f73b72fe3944e9137433acc0ad138a57f35","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 2026-08-12T06:34:41.77262+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":{"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":"2026-08-13T04:18:47.473760Z","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":"sha256:36a656184b88cd3d06e9b3b0d74e2bfc5190dca5af6e15c155a05b72ae77376b","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 2026-08-12T06:34:41.77262+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":"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":"2026-08-13T04:18:47.473760Z","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":"sha256:71137eb28693da4979ae193bdd3753fa8aa37bcad7baa62b6ff928059e4e4273","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 2026-08-12T06:34:41.77262+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":"2026-06-05T21:23:00.469572Z","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":"2026-08-13T04:18:47.473760Z","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":"sha256:7e1804ab590be9e067646857e5dfba8a96b7c68347f180f5e241644e76ad63c0","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 2026-08-12T06:34:41.77262+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":"2026-06-05T21:23:00.469572Z","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":"2026-08-13T04:18:47.473760Z","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:c355eefc875ae58ba27ac2fd17b3803cf699d3f934a5c57a22f1e03367e67eb4","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 2026-08-12T06:34:41.77262+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":"2026-06-05T21:23:00.469572Z","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":"2026-08-13T04:18:47.473760Z","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":"sha256:75899fd6e2e883190ae0b7d441847a70c90ecfcf127f000750c37b69cd055738","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 2026-08-12T06:34:41.77262+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":"2026-06-05T21:23:00.469572Z","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":"2026-08-13T04:18:47.473760Z","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:b0625b1c4d24fe69edaef04fce3bacbe1d2ab5213f77e8d7ed45fb7fcd5c6c44","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 2026-08-12T06:34:41.77262+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":"2026-06-05T21:23:00.469572Z","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":"2026-08-13T04:18:47.473760Z","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:c2117f58f8508f82e8ea791cb08c7fb089afabb2c2be04391f9ef37897338018","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 2026-08-12T06:34:41.77262+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":{"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":"2026-08-13T04:18:47.473760Z","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":"sha256:105535fc7aa14da0c57b9063d784574e8ae7680c54d54ebd3719b935e9dda6e8","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 2026-08-12T06:34:41.77262+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":{"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":"2026-08-13T04:18:47.473760Z","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":"sha256:0617610ee97dc7359aeaa86c707a3bb121e661737c3afad6ee3b2b5a4ddbd1c5","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 2026-08-12T06:34:41.77262+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":{"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":"2026-08-13T04:18:47.473760Z","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":"sha256:4eeb3e28eea85745c663f1cc7bea3982b311227ba034fbe5b08a1d25c28779f0","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 2026-08-12T06:34:41.77262+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":"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":"2026-08-13T04:18:47.473760Z","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:da786a4c52c409aa948e5f618953b4998fb83855c7a197c39a0fa1b66f480054","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 2026-08-12T06:34:41.77262+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":"2026-06-05T21:23:00.469572Z","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":"2026-08-13T04:18:47.473760Z","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":"sha256:98a0f4404dc2215877d62e4345a41bbcf633c751e2ba4701e205ba0a8b619fda","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 2026-08-12T06:34:41.77262+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":"2026-06-05T21:23:00.469572Z","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":"2026-08-13T04:18:47.473760Z","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:cee4f27b3afe977dc3789868aa727a0d3e5406eba3882d9416cd469ce1f455e5","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 2026-08-12T06:34:41.77262+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":"2026-06-05T21:23:00.469572Z","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":"2026-08-13T04:18:47.473760Z","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":"sha256:9ed3c48bc5de152599973f3121187626eb087ec7163916278cce86c1c9ef5afb","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 2026-08-12T06:34:41.77262+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":{"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":"2026-08-13T04:18:47.473760Z","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":"sha256:2347be2673429ca74da536dd60b012e4e9c0c207b793f5b8c279beb735c19533","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 2026-08-12T06:34:41.77262+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":{"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":"2026-08-13T04:18:47.473760Z","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":"sha256:83758c58cbe40c7d2e29a75432d898395eef741d1496d182a01161b27ae272b5","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 2026-08-12T06:34:41.77262+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":{"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":"2026-08-13T04:18:47.473760Z","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:b322aa350b30eae2b5101efa30154d91088822d4f381770b0774a4ef5b446792","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 2026-08-12T06:34:41.77262+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":"2026-06-05T21:23:00.469572Z","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":"2026-08-13T04:18:47.473760Z","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":"sha256:3d9c4fc61084b2ae044cc6fa092a4a39911faa97ab73b4b5bdf5733f1e0f358a","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 2026-08-12T06:34:41.77262+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":"2026-06-05T21:23:00.469572Z","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":"2026-08-13T04:18:47.473760Z","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":"sha256:0dfe33dd5a0a70f48987de1b01eb0bc65f8c89afd8c2815892cc7208e7fad31e","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 2026-08-12T06:34:41.77262+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":"2101.10262","last_updated":"2024-03-02T23:28:35Z","latest_version":3,"primary_category":"math.AG","snapshot_observed_at":"2026-08-13T04:18:47.473760Z","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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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."}