{"as_of":"2026-08-17T08:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:76632988b197e9616e92b3c4f9ab24a9a01ac7e728eb3956b98f48dd807f4131","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:15:05.369798Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+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/1908.02167/citation-record","integrity":"/paper/1908.02167/integrity","json":"/paper/1908.02167/citation-record.json","paper":"/paper/1908.02167"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:15:06.070126Z","title":"Algebra 26 (1998), no","venue":null,"work_id":"8fd0b8d4-a7f8-4258-9706-efc932e5ed12","year":1998},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.177451Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:9de09534244a13ff0f7838fc02e0764c2ca3a49c2d8478cc113d233a37985eb2","observation_id":"1a04becd-6f80-40b1-af57-aeb499c899a8","resolution":{"observed_at":"2026-08-14T15:15:06.078772Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:06.046165Z","title":"94, American Mathematical Society, Providence, R.I., 1 969","venue":null,"work_id":"d8324469-551f-4559-ae6e-27674aa69134","year":null},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.187367Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:f587551812eb4ed2eb5a667580b30c2bf27692bb84439cbc4203a68c85f6a2b7","observation_id":"115e6383-97a9-4e8e-8141-3093c78b844b","resolution":{"observed_at":"2026-08-14T15:15:06.054216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:06.019494Z","title":null,"venue":null,"work_id":"ad358356-a247-446f-ac0a-16b2c0ac29a8","year":1991},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.195834Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:59800dd75801f9b24e693a97fcd632965b53ca739e85b2fe8c7ba9ec4dd0019b","observation_id":"cbb55acb-085f-49f9-87cd-ad984cdaad72","resolution":{"observed_at":"2026-08-14T15:15:06.029177Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.993947Z","title":"Avramov, Infinite free resolutions , six lectures on commutative algebra (Bellaterra, 1996), P rogr","venue":null,"work_id":"727664c1-c675-4455-9ce8-9a8216e35f03","year":1996},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.209399Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:47515236bc1ea409c0682099d77b8110bb4ed094fcfe59ced8bb35687421078b","observation_id":"48a07152-3ab6-4a36-a7c9-2719be8e9ceb","resolution":{"observed_at":"2026-08-14T15:15:06.003289Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.964629Z","title":"Avramov and Ragnar-Olaf Buchweitz, Support varieties and cohomology over complete inter- sections, Invent","venue":null,"work_id":"d05206bf-217c-4ead-900f-e268f2264263","year":2000},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.218172Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:0ac67306443b4f61f6f0c6bdd7e2f153b9003c5b70506f8b62faf753c023f7c7","observation_id":"ba82e933-099c-415d-b101-835ca8f01809","resolution":{"observed_at":"2026-08-14T15:15:05.972302Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.935337Z","title":"39, Cambridge University Press, Cambridge, 1993","venue":null,"work_id":"69bbab45-476e-40f3-93ed-8b0a1172dcbb","year":1993},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.227486Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:b12c18491f8b841e4f1632ace2375d5aa2cae46a6bc7162464b430200a299b0e","observation_id":"23cfd44d-74ef-46f8-851e-cc9e02ed85ed","resolution":{"observed_at":"2026-08-14T15:15:05.943353Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.907279Z","title":"Iyengar, Greg Piepmeyer, an d Roger Wiegand, Criteria for vanishing of tor over complete intersections, Pacific J","venue":null,"work_id":"a1868c3b-02ff-4d09-bcee-7c5c2ff63822","year":2015},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.235304Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:f72dc166b50387361b2a6794374e32bea2f3d96d208e6471249e41b76c9ae29c","observation_id":"d78e113b-1724-4c42-83b8-2af56f748aac","resolution":{"observed_at":"2026-08-14T15:15:05.916903Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.877212Z","title":null,"venue":null,"work_id":"63c60d1b-d8ea-4d0d-8c6b-dec4b8748f7b","year":2014},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.244866Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:a79401c65d7b1f150f6ab8910b60a207b21bc16a18e78963f06c4dc4e89f1183","observation_id":"a128b56d-55e2-4322-866f-271ba8676a68","resolution":{"observed_at":"2026-08-14T15:15:05.883864Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.853659Z","title":"5, 1670–1684","venue":null,"work_id":"7002c56b-7d70-4d73-996c-100c59460840","year":2015},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.254351Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:97fb8d791777e5ab0126a324d1cfb6a7d11b5a5258dbbe24f8238a0b2344a3f6","observation_id":"8c683a49-0915-4347-84a5-f7b7de373585","resolution":{"observed_at":"2026-08-14T15:15:05.860569Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.828771Z","title":null,"venue":null,"work_id":"bdbc64b4-c7fd-4c20-b4e7-1ec39c5e5ab0","year":2019},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.260678Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:6df3436b40250f858ec66fc4ad0a51aa8a55d6d2dc69a28a85188f5b1dc3c1cb","observation_id":"1dcf9e1f-293c-4dd2-a7a9-1a41c64a1b24","resolution":{"observed_at":"2026-08-14T15:15:05.836405Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.04108","last_updated":"2019-01-14T02:05:07Z","snapshot_observed_at":"2026-08-14T17:31:34.275193Z","submitted_at":"2019-01-14T02:05:07Z","title":"Powers of the maximal ideal and vanishing of (co)homology","version":1},"cited_work":{"arxiv_id":"1901.04108","doi":null,"metadata_source":"pith","pith_arxiv_id":"1901.04108","snapshot_observed_at":"2026-08-14T15:15:05.434958Z","title":"Powers of the maximal ideal and vanishing of (co)homology","venue":"math.AC","work_id":"d1fca804-b715-4be0-a440-8f4be6a6001f","year":2019},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.266673Z"},"links":{"cited_paper":"/paper/1901.04108","citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:a642396df18114fd9dace020640bad4939346ebb3c24eb108bc34f147d31508c","observation_id":"660e5b97-4ef2-4e68-963b-4c4bc7d6add9","resolution":{"observed_at":"2026-08-14T15:15:05.443190Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.802139Z","title":"Dibaei and Arash Sadeghi, Linkage of modules and the Serre conditions, J","venue":null,"work_id":"800513a3-ab50-4ffd-8070-8514c0cdd5cb","year":2015},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.273657Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:9cc925ce225a993cf39cebb963ac090fc6dd59305fe0847029e21b2627d9d682","observation_id":"179d409c-3bf6-4492-b066-e16d571d6399","resolution":{"observed_at":"2026-08-14T15:15:05.810126Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.763151Z","title":"Graham Evans and Phillip Griffith, Syzygies, London Mathematical Society Lecture Note Series, vol","venue":null,"work_id":"edfd5a76-33a7-4ca6-b614-aa116812f4ed","year":1985},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.286451Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:084c51711d8be9cc5a45c778a3a0a3d1d1320abc780576f751f2bb36e7dc3395","observation_id":"33bd7a14-3d83-4591-a245-1b4aa3253c71","resolution":{"observed_at":"2026-08-14T15:15:05.782615Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.729152Z","title":"Grayson and Michael E","venue":null,"work_id":"53c1f74e-226f-4d20-96ae-55eae4652bac","year":null},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.296144Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:f6c075024c6558ae9e53af966921181797c0cd84a577537e11e394f8af5e04a7","observation_id":"5c6dac90-dfbb-443c-922b-b729a691935f","resolution":{"observed_at":"2026-08-14T15:15:05.740692Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.693604Z","title":"(1994), no","venue":null,"work_id":"9d97f88e-c87e-4f5e-8586-1fb97eb90103","year":1994},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.305084Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:696d38deea9d8db28a300a4d902079d1eec13811cd492459afd8343953ea0f0c","observation_id":"084dd1bc-ee26-42ca-9ed1-d44860780bd9","resolution":{"observed_at":"2026-08-14T15:15:05.701734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.660227Z","title":null,"venue":null,"work_id":"cdc896c3-3cda-4e71-9f9e-6d20bbf0b4f7","year":1994},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.314548Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:3962bbe81842d074ab8c563f1ec9d9dc1b31a0841356f78e7868b6fb51dd5d90","observation_id":"7c171647-0734-487a-a3ad-0996bf8da86b","resolution":{"observed_at":"2026-08-14T15:15:05.668610Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.625128Z","title":null,"venue":null,"work_id":"641a2005-3f73-41b3-8cb5-c4432ebe919f","year":1997},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.322529Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:0ccf90bc3b8ff6ced15b445574f4e079c4abcb8a71a14a3049b0958addcbfb55","observation_id":"64188063-447f-4fe0-a5a0-1b8e2aecb608","resolution":{"observed_at":"2026-08-14T15:15:05.637425Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.584378Z","title":"Tensor products of modules and the rigidity o f Tor","venue":null,"work_id":"7d265bdc-b346-42b2-8141-4093a0a5a049","year":1994},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.333169Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:68361c163ae46141a6bf8687cafeb6f55b15e20f91c6871057cde0dcd5412fc2","observation_id":"ff80e842-fe62-4568-b106-76a3740cff20","resolution":{"observed_at":"2026-08-14T15:15:05.592525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.553341Z","title":null,"venue":null,"work_id":"b8eefc80-d0c3-422c-835b-43fbf357aad4","year":1966},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.340708Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:1ec53b25ff03c17a89d2df4be194f5a81be3d26fd001b5b312d0f05dfd38e3a0","observation_id":"1a0b03cf-d4d4-471c-90c9-a8d3c0136b75","resolution":{"observed_at":"2026-08-14T15:15:05.563193Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.512344Z","title":"Algebra 28 (2000), no","venue":null,"work_id":"95cf4647-cecc-42ee-8f0d-52d668873c41","year":2000},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.352096Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:8ebd38d9ac106d06a74735a648db9cf5faf8628e17d53b50ddf9ceb8e28f5669","observation_id":"ea7fa2bd-2a90-41df-b7a6-c0a4678bf682","resolution":{"observed_at":"2026-08-14T15:15:05.522085Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.485325Z","title":"Frank Moore, Macaulay2 code to compute the biduality map and the pushforw ard module, unpublished (2015)","venue":null,"work_id":"2b116232-35f2-4dad-8f0d-cc2178b44a91","year":2015},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.360178Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:364d8c8cf233af12103281d324591bce4c822d2bf34eb1c601e9a5129da355d3","observation_id":"e152c667-84c7-4667-ae00-518fb8759a6f","resolution":{"observed_at":"2026-08-14T15:15:05.492078Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T15:15:05.459241Z","title":"Pavaman Murthy, Modules over regular local rings , Illinois J","venue":null,"work_id":"9f5b4ec3-0cfd-4eec-b0a9-49c6933cd4fb","year":1963},"citing_paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T15:15:05.369798Z"},"links":{"citing_paper":"/paper/1908.02167"},"observation_digest":"sha256:bbc9cda0addea8a071704c9ea38db7691dd3b690f0d6a971b15620806796974f","observation_id":"36807f99-60ff-4284-9766-7a024049dd8c","resolution":{"observed_at":"2026-08-14T15:15:05.465088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.02167","last_updated":"2019-08-06T13:54:57Z","latest_version":1,"primary_category":"math.AC","snapshot_observed_at":"2026-08-16T18:44:23.307363Z","submitted_at":"2019-08-06T13:54:57Z","title":"On an example concerning the second rigidity theorem"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":1,"verified_fuzzy":15},"total_outbound_references":22},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.02167."}