{"as_of":"2026-08-16T08:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d318df3899f40b3eb13f2996cdad5af1001fc590d5183d90222bec22a9350ee9","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:04:12.689782Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.02349/citation-record","integrity":"/paper/1908.02349/integrity","json":"/paper/1908.02349/citation-record.json","paper":"/paper/1908.02349"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:04:12.619225Z","title":"Beilinson, p-adic periods and derived de Rham cohomology , J","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.619225Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:ae78c644b69ddb40458cf884c2269b4696417db4f20b5dd893442327132154e2","observation_id":"9e113db3-3962-4c40-b86a-fb1629268b29","resolution":{"observed_at":"2026-08-14T15:04:12.619225Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4064/sm-20-1-1-18","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:04:12.783245Z","title":"Bittner, Operational calculus in linear spaces , Studia Mathematica, 20, 1–18, (1961); DOI: 10.4064/sm-20-1-1-18","venue":null,"work_id":"e5f7be4a-5574-42d4-b1ad-4fe5c4d3f4b7","year":1961},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.623615Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:d6b5c27adefe9e4368135116276e58473de63c9840369285a05f15881f375eca","observation_id":"8e486eed-f78d-41a3-9c56-943498c5a631","resolution":{"observed_at":"2026-08-14T15:04:12.788763Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:04:13.096451Z","title":"Bott, L.W","venue":null,"work_id":"4f02f952-8cdc-4c03-be58-afe128c13f7d","year":1995},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.627889Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:7919b4acfe31bcb5d983d17c5870bf230e256549406f505486d65f9f8587d2d5","observation_id":"463bc153-24c7-43e3-86d2-0bf5d6e58ac5","resolution":{"observed_at":"2026-08-14T15:04:13.100323Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:04:13.083428Z","title":"Das, Field Theory, a Path Integral Approach , World Scientiﬁc, 1993","venue":null,"work_id":"68d50bd4-7928-4f4f-b7f5-de1c02e82da6","year":1993},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.632420Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:58a778b3f26d1721267023666585853a5c150717b7b4dd1d64f70559e08473da","observation_id":"e29f9d98-31ad-45af-b1d2-64675dcea150","resolution":{"observed_at":"2026-08-14T15:04:13.088086Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.apnum.2004.09.035","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:04:12.766903Z","title":"Desbrun, M","venue":null,"work_id":"c355716c-0ebe-4b86-8204-43e14e167235","year":2005},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.637031Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:6abee7621fc9e928242accb1f2f0a66816f5d17c8d8efd83cd037204bfa81afb","observation_id":"8ffc3654-6475-4978-8bbf-90727707b459","resolution":{"observed_at":"2026-08-14T15:04:12.770831Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0508341","last_updated":"2005-08-18T22:27:29Z","snapshot_observed_at":"2026-08-12T14:37:32.880479Z","submitted_at":"2005-08-18T14:13:14Z","title":"Discrete Exterior Calculus","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0508341","snapshot_observed_at":"2026-08-14T15:04:12.641647Z","title":"Desbrun, A.N","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.641647Z"},"links":{"cited_paper":"/paper/math/0508341","citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:7eceec2e56b9b56fcc56a7a14315c6c175a09aa15fbf576f6c02bfa0540e91a3","observation_id":"83d6107a-dcab-4a3a-9bcd-6b17f3964ace","resolution":{"observed_at":"2026-08-14T15:04:12.641647Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:04:12.646207Z","title":"Ding, C.A","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.646207Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:ecaec7de1e8482f46907d8638137064e23f94265720bd22962eb1e7733d0b89b","observation_id":"5cbdd525-30a5-46ff-b0ae-8e7d8a089b85","resolution":{"observed_at":"2026-08-14T15:04:12.646207Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:04:12.650576Z","title":"Edelen, Applied Exterior Calculus , Dover Publications, Revised edi- tion, 2011","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.650576Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:5e4fcfc8ea702b23c0235a701a9a035683ce6c3bd24e279fcfca3f22a95bdfa5","observation_id":"7575fe8e-2226-464e-b578-7df07075aaf3","resolution":{"observed_at":"2026-08-14T15:04:12.650576Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:04:12.654670Z","title":"Edelen, Isovector Methods for Equations of Balance , Springer, 1980","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.654670Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:faff98bfa7f4b199cb35e8f2837e0fd73ee1eba8d426e9e332d2ea6495f215dd","observation_id":"9f69e1b0-8d78-4ca5-8b75-13acc4b5ba2a","resolution":{"observed_at":"2026-08-14T15:04:12.654670Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s12220-013-9433-6","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:04:12.754253Z","title":"Harrison, Operator Calculus of Diﬀerential Chains and Diﬀerential Form s, J","venue":null,"work_id":"efae69b7-3e48-4c3a-976c-cb0f0ff60b7e","year":2015},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.658631Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:e2e1883883e155d7bc81f0b31b6837fdabf37beb800aa068d26ee8df94b54667","observation_id":"2988994f-4fe9-4de0-835a-9bc2b9bccc9b","resolution":{"observed_at":"2026-08-14T15:04:12.758514Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1101.0313","last_updated":"2011-06-04T02:00:54Z","snapshot_observed_at":"2026-08-15T04:58:37.023960Z","submitted_at":"2011-01-01T02:06:25Z","title":"Geometric Poincar\\'e Lemma","version":2},"cited_work":{"arxiv_id":"1101.0313","doi":null,"metadata_source":"pith","pith_arxiv_id":"1101.0313","snapshot_observed_at":"2026-08-14T15:04:12.827300Z","title":"Geometric Poincar\\'e Lemma","venue":"math.AT","work_id":"3ab25a3d-4409-4187-bb86-76c1dc61f763","year":2011},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.662555Z"},"links":{"cited_paper":"/paper/1101.0313","citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:ac76ea9e34b54d69a96a6c3b2f192e4361839a00a69ec4d3c486edf2d21d4453","observation_id":"6cbfe405-ac3c-40dc-b640-3991306b4df8","resolution":{"observed_at":"2026-08-14T15:04:12.831816Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf00411477","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:04:12.741850Z","title":"Iwaniec, A","venue":null,"work_id":"679ac655-7768-4acf-aa60-936f86f90c82","year":1993},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.666224Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:43d821a7d4885adfb207c7bd6a9e75f5448bcb280cd8b5cff0a76dc0b6861667","observation_id":"f25d37e7-1bae-45b7-9d2c-032ff1e317d0","resolution":{"observed_at":"2026-08-14T15:04:12.745925Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00209-015-1583-8","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:04:12.729833Z","title":"Jell, A Poincar´ e lemma for real-valued diﬀerential forms on Berk ovich spaces, Math","venue":null,"work_id":"d8a07a52-8b4c-435c-b2d3-e15a0e5a91eb","year":2016},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.670516Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:236db43268d70549a3ecf76ad8ea4c100693e195c94cd073dbac2256bc6a71cf","observation_id":"fb982b24-4e7f-4e7f-8fc4-3008ffcae5e3","resolution":{"observed_at":"2026-08-14T15:04:12.734056Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:04:13.053857Z","title":"Lee, Introduction to Smooth Manifolds , Springer, 2nd edition, 2012","venue":null,"work_id":"69560ce2-12cd-471e-8255-a6705290a81b","year":2012},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.674540Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:431ae3bd66138ebc219d89491452981aaf491968ab83a198bf80c047c6a8166b","observation_id":"e7f1784a-318b-4c2c-893f-3a3e64c81c18","resolution":{"observed_at":"2026-08-14T15:04:13.059116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.13347","last_updated":"2019-05-30T23:00:59Z","snapshot_observed_at":"2026-08-14T16:23:25.265481Z","submitted_at":"2019-05-30T23:00:59Z","title":"On Poincar\\'e lemma or Volterra theorem about differential forms and cohomology groups","version":1},"cited_work":{"arxiv_id":"1905.13347","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.13347","snapshot_observed_at":"2026-08-14T15:04:12.808907Z","title":"On Poincar\\'e lemma or Volterra theorem about differential forms and cohomology groups","venue":"math.GM","work_id":"45e32d91-a43f-4172-9897-9697d8b818c6","year":2019},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.678311Z"},"links":{"cited_paper":"/paper/1905.13347","citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:9fd1088b9c87796c0b4a37ffb0acd79a2bf55bccab37b064b9a7c32d30f59a01","observation_id":"c35d1780-f20f-406e-8d87-ac708ab33c44","resolution":{"observed_at":"2026-08-14T15:04:12.813507Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:04:13.038132Z","title":"Nakahara, Geometry, Topology and Physics, CRC Press, 2nd edition, 2003","venue":null,"work_id":"572ae498-1a85-49f6-9e00-32bc78ab203f","year":2003},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.681902Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:0d7b53ecff08203eb45d69010d462ab26babb239b80f82c7a098d264a9c4b92b","observation_id":"7502c3a4-8065-47c9-a25a-b11e1e020f4d","resolution":{"observed_at":"2026-08-14T15:04:13.043263Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/s0002-9939-2011-11116-x","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:04:12.716580Z","title":"Voronov, On a non-Abelian Poincar´ e lemma, Proc","venue":null,"work_id":"973ce847-0110-405b-ba71-a620248bcde3","year":2012},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.685560Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:e06b9925841eb533ba5d7a484df680a0f0691a3b1d794ab4b078be80577a8efc","observation_id":"9c9d1724-c3a4-4c38-bca0-86683da247e6","resolution":{"observed_at":"2026-08-14T15:04:12.722278Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:04:13.024494Z","title":"Tu, An Introduction to Manifolds , Springer, 2nd edition, 2010 14","venue":null,"work_id":"fd03d325-2eca-408a-8f71-ca8e07b08405","year":2010},"citing_paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:12.689782Z"},"links":{"citing_paper":"/paper/1908.02349"},"observation_digest":"sha256:1dd532cc30f785c074a4e0d699feee48827bfefc9a67888d55e43dd8f755d00a","observation_id":"3642e86d-a2d8-4154-838c-d335b9c01db7","resolution":{"observed_at":"2026-08-14T15:04:13.028383Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.02349","last_updated":"2020-07-12T14:07:31Z","latest_version":3,"primary_category":"math.DG","snapshot_observed_at":"2026-08-16T04:43:28.891622Z","submitted_at":"2019-08-06T20:13:56Z","title":"The Poincare lemma, antiexact forms, and fermionic quantum harmonic oscillator"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":8,"verified_fuzzy":5},"total_outbound_references":18},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:1908.02349."}