{"as_of":"2026-08-16T08:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:aed81f8e82ed9413097bfc5718c91eccc2a31d8f796a3654a11f3b836349fbe1","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T11:56:36.511261Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"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/1908.08232/citation-record","integrity":"/paper/1908.08232/integrity","json":"/paper/1908.08232/citation-record.json","paper":"/paper/1908.08232"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:56:37.137671Z","title":null,"venue":null,"work_id":"229ba501-3f2b-44ec-afd8-3869f024d96c","year":1971},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.327892Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:51982c7ade1041a6bcb94ca3c1ff86aa375e37d8594ac3f524208bd70f5c5ce2","observation_id":"57ac7a3f-cd48-46fb-9834-a84b66e7a9ec","resolution":{"observed_at":"2026-08-14T11:56:37.143340Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:37.122981Z","title":null,"venue":null,"work_id":"edce6820-2212-4f1d-95a3-7b57f76dd075","year":1986},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.333920Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:6cc08b6795b2c3ede7ec9e01968e6a3ed1165f25e41f1c94a17d8f0497b54fc2","observation_id":"72499822-2b08-4074-a996-98cbd505d71a","resolution":{"observed_at":"2026-08-14T11:56:37.127652Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:37.107796Z","title":null,"venue":null,"work_id":"ad0aa3cf-13a2-4e4a-ad07-e0cea094c26d","year":1982},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.339059Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:e9e2db7dd7faf2c7eef65eda8ffd50e6453a6a6f6819611568ef70f58cf1164f","observation_id":"4d82534d-2149-455d-906b-744675d75670","resolution":{"observed_at":"2026-08-14T11:56:37.112788Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:37.092008Z","title":null,"venue":null,"work_id":"7e6d2006-35f5-4216-9c4c-6084d9215c05","year":1992},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.344426Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:08f9f80896797555407a8439783bd49040a075b64f196d311ffa4c2aaa7f8f58","observation_id":"fd1ac8e8-dedf-453e-b42d-c1f2d0b2e8ba","resolution":{"observed_at":"2026-08-14T11:56:37.097155Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:37.075261Z","title":null,"venue":null,"work_id":"762cc87b-7bee-43d3-84ad-342d60592889","year":2003},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.349837Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:91e12e3c5273ce678b3d364ff4620de7f1995e6acf533c0db7497757eb5365b5","observation_id":"7b0d8960-84fa-4c34-b80c-46b5b589a59e","resolution":{"observed_at":"2026-08-14T11:56:37.080326Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:37.059115Z","title":null,"venue":null,"work_id":"658e2202-09dd-43a6-a352-45d96c8569c5","year":2004},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.355271Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:2e195441d5e41f6d5879799a8d4ae58bf48b887a82d1f6059c2148c0415ab42c","observation_id":"5c2609b9-bff0-44d2-97b0-48fdc00ec2eb","resolution":{"observed_at":"2026-08-14T11:56:37.064469Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:37.043956Z","title":null,"venue":null,"work_id":"c473e775-c951-477e-9ca8-cef81ecf87be","year":2016},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.360651Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:75598680aed9d5f1d35de3504545c1215159353f43f8ede20290abb9adee1062","observation_id":"2357c61c-33e4-4812-a4a0-ff0d80aaae6c","resolution":{"observed_at":"2026-08-14T11:56:37.048874Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:37.028599Z","title":"Damon, The unfolding and determinacy theorems for sub groups ofA andK","venue":null,"work_id":"07f1a717-ef9c-4887-8f5c-bb389b85a517","year":1984},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.365630Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:1d7f7f479e53861e709c8cf1c654bf7566b663a0d8516384e6ff68da75e23edf","observation_id":"bd42a682-01a6-4454-b003-5f2e07100f42","resolution":{"observed_at":"2026-08-14T11:56:37.033790Z","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":"2026-08-14T11:56:37.011354Z","title":"Domitrz and J","venue":null,"work_id":"620c14fa-548e-48f2-a9fb-d201ba98bbce","year":2009},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.370352Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:caedc463af37679313d26ced8477d42f75c4ad26bd073bf6804872d56664af6f","observation_id":"739f52e3-694b-443b-b779-350e0bdc54f1","resolution":{"observed_at":"2026-08-14T11:56:37.016440Z","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":"2026-08-14T11:56:36.995865Z","title":null,"venue":null,"work_id":"9bd37e88-0780-47e4-8099-f60eeb5d54a9","year":1981},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.374817Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:b1df539ba8832751839b7aaad70166e869dc667499e3a55072ff2486887416a7","observation_id":"581dd7a8-6cb4-458f-8e00-d0c65955ec04","resolution":{"observed_at":"2026-08-14T11:56:37.000779Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:36.980254Z","title":null,"venue":null,"work_id":"40299027-7cd9-4327-800a-74cc20d8ee4d","year":1977},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.379440Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:472c5b895b6a2611df31a069082c8884ddd5d8017114451614d22883045a776a","observation_id":"8a23d249-d168-4a26-8b54-ee7d386d7e6e","resolution":{"observed_at":"2026-08-14T11:56:36.985736Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:36.965239Z","title":null,"venue":null,"work_id":"65d69f00-4a86-4294-bdbc-1eb56bfab3d6","year":1983},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.384057Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:0ace0d3157523ca62020982edd0b79f3d966eaa3416487bcc5e9c1e70c17cbfd","observation_id":"38102d8a-47bb-4e19-83f8-1a0a92844ea1","resolution":{"observed_at":"2026-08-14T11:56:36.969961Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:36.950260Z","title":"Fukui and M","venue":null,"work_id":"179f23f1-4747-443a-a4fb-03a81da0fc4c","year":2012},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.388489Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:1cfb5874ee16b6dc6dae9658d88da55e477d6f4f700f67c702bce0e5e8ed67cc","observation_id":"a9e9fb6a-1edd-4079-ba2a-dab60944d58e","resolution":{"observed_at":"2026-08-14T11:56:36.955137Z","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":"2026-08-14T11:56:36.934860Z","title":"Fukunaga and M","venue":null,"work_id":"11aee147-5b98-49c3-ba63-a529f7bc7813","year":2013},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.393670Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:2dc417a347de17b6022b7802426e67f7ddf69786b2a64f5a0e23cb02a4d0aa8e","observation_id":"6dac9161-46fb-4d14-a436-afb64932b5b5","resolution":{"observed_at":"2026-08-14T11:56:36.939907Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:56:36.398268Z","title":"Fukunaga and M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.398268Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:0165376edd3177b10120d5818dad7a6f746bdb34f006e15febb77fb38946d5b1","observation_id":"d0a3a21b-1676-42f4-9bab-f546c3444fec","resolution":{"observed_at":"2026-08-14T11:56:36.398268Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:56:36.920147Z","title":null,"venue":null,"work_id":"d866e9f5-604f-4306-b568-73fde4b73c91","year":1993},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.403241Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:674802fa740be1d09c9ccdbd0bfb52f9b9804c29c9d35defe3f61d66775841c8","observation_id":"756bcf84-3619-4aa0-97af-39c943309230","resolution":{"observed_at":"2026-08-14T11:56:36.924852Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:36.904781Z","title":"Ishikawa, Families of functions dominated by distri butions ofC-classes of mappings","venue":null,"work_id":"e4dc65e5-76d5-40e5-a995-a7a6d683f978","year":1981},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.408024Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:0062cfefd8558367066033ec9b2b8e784e86696e52d0e0614fa694978df6037f","observation_id":"396b996b-575e-4d41-8f4b-b1124255dbf6","resolution":{"observed_at":"2026-08-14T11:56:36.909835Z","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":"2026-08-14T11:56:36.888851Z","title":"Ishikawa and S","venue":null,"work_id":"2d5d50bf-a11b-44c1-b719-49a6bb0348f9","year":2003},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.412641Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:5683d38d0b15cd29d339804c4efc7c5a6e7332c927957ffc049b6735b32998cc","observation_id":"f1c9b9b9-e371-428e-afa8-f8d00326cee4","resolution":{"observed_at":"2026-08-14T11:56:36.894010Z","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":"2026-08-14T11:56:36.873465Z","title":"Ishikawa, Singularities of frontals","venue":null,"work_id":"f8997f31-f041-40eb-87b0-83ca613831fe","year":2018},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.417072Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:63aab2c5db44c9d84560a11e7379fd7a911665dae26f84ee48e1077a070172b0","observation_id":"1a4c10df-8a10-4c98-a793-3ed5fe8a218a","resolution":{"observed_at":"2026-08-14T11:56:36.878325Z","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":"2026-08-14T11:56:36.856714Z","title":"Izumiya, M","venue":null,"work_id":"57bdbb13-5e14-4d46-9dd3-e52ec4eae27d","year":null},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.421735Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:2b037070d55b5396711ce8a9d0b85e3a54e716e99cfa68dc3674b98c0ca00ccb","observation_id":"b725cd2d-e30c-4ab8-99b2-4b7c513931f0","resolution":{"observed_at":"2026-08-14T11:56:36.862592Z","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":"2026-08-14T11:56:36.840354Z","title":"Malgrange, Ideals of differentiable functions","venue":null,"work_id":"e2844f83-7506-4261-93e0-971c35f11e05","year":1966},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.426580Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:9e57be9e85b5bfcb570b1f2f1364240cff8fcc317fc9cea49ab60dd6fd9f1bb5","observation_id":"49901662-0810-4a31-a23d-6481c235d796","resolution":{"observed_at":"2026-08-14T11:56:36.845538Z","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":"2026-08-14T11:56:36.825496Z","title":"Mancini and M","venue":null,"work_id":"02db0c3b-a056-4808-bcc6-301138592060","year":1993},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.431663Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:b5fa2328df37caedb71743e616d601b1e142499067d537a2204f5af4dd28b5f1","observation_id":"2621b830-5fb6-4a2c-ab3c-c026bd0b8c42","resolution":{"observed_at":"2026-08-14T11:56:36.830188Z","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":"2026-08-14T11:56:36.810187Z","title":"Mancini, M","venue":null,"work_id":"83a98f2f-303d-4fc6-bfe6-4bed95ef6ec4","year":2002},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.436405Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:11a21fc6f9814472c24c412d698f391672857d61f596d10be502e3cf852001f3","observation_id":"aa098233-12d6-4c46-b899-507e34c35551","resolution":{"observed_at":"2026-08-14T11:56:36.815409Z","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":"2026-08-14T11:56:36.794137Z","title":null,"venue":null,"work_id":"5647d630-b947-4d4a-bcce-9110e231a420","year":2016},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.441220Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:aed40b66b258fa37f17d98fe1119c892f862f751efa6b50fb6ad95dd88d5b2c5","observation_id":"2d225d29-4b5b-49f5-8344-6e9a07371d13","resolution":{"observed_at":"2026-08-14T11:56:36.799912Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:36.778479Z","title":null,"venue":null,"work_id":"781ff1f8-b837-43df-92cc-3f8026db3423","year":2018},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.445771Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:4b0c52d1872fd5a595037ab2b8b7a83eaefd78fcd3d257380d5d6c18ddc6c7f9","observation_id":"a160b631-9c14-4925-a909-5d67be1a678d","resolution":{"observed_at":"2026-08-14T11:56:36.783527Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:36.761797Z","title":"Martinet, Singularities of smooth Functions and Maps","venue":null,"work_id":"788dcadd-6486-4f35-bab2-9765101ed136","year":1982},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.450312Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:ff9bdcd3fc3678578d1187b4ce00070776e9e714feca38d360008eaac853689c","observation_id":"e56f8a7a-ef18-43e9-b61c-2ab4b117e13c","resolution":{"observed_at":"2026-08-14T11:56:36.766926Z","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":"2026-08-14T11:56:36.745750Z","title":"Mather, Stability of C ∞-Mappings III","venue":null,"work_id":"ae481672-6847-46e5-90db-29aa8ae069bd","year":1968},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.455394Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:f0d5ab481d5db8811f36de993512617602724e9ba47f7e686cea758a9e404adf","observation_id":"df4e72ab-c5ea-4ade-8a25-9eac7895bbe0","resolution":{"observed_at":"2026-08-14T11:56:36.750965Z","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":"2026-08-14T11:56:36.730256Z","title":"Mather, Stability of C ∞-Mappings IV","venue":null,"work_id":"c892d3ff-cd01-49ea-9f24-760f877ca607","year":1969},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.460329Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:ff0df844523f127ff681804e1c22a2ff7ff92b4b4dc2780988c6b4e1742659b6","observation_id":"bb25769c-fa43-422f-a8c2-37f00181c2a1","resolution":{"observed_at":"2026-08-14T11:56:36.735447Z","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":"2026-08-14T11:56:36.714320Z","title":"Mather, Unpublished note on right equivalence","venue":null,"work_id":"42ade3a2-b290-42da-ae5d-712b4a4a0b8d","year":null},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.466259Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:defe9386aa6cd09a7b8c85d32a8fba61de6380201c839e1fb22083d21453231a","observation_id":"7dd257b7-21a1-441d-bcd1-0dc0a7ee2fcc","resolution":{"observed_at":"2026-08-14T11:56:36.719221Z","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":"2026-08-14T11:56:36.698500Z","title":"Nomizu and T","venue":null,"work_id":"7eec43e0-531b-48fc-8c18-9663fdff2f3f","year":1993},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.471696Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:db02d0892298a647233a6a2be2bbe8fb590212b0727e554d916693adaa6d4bdd","observation_id":"b4820803-a9e5-4365-bcbe-865e09be73c9","resolution":{"observed_at":"2026-08-14T11:56:36.703583Z","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":"2026-08-14T11:56:36.682615Z","title":null,"venue":null,"work_id":"9c4f65e2-088b-4bb5-9413-5be655531eaf","year":1980},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.476800Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:4ca732c4cf08930bab56d20646cce595ea06c58533df205ee873f577c9435cb6","observation_id":"6b19b894-3609-4901-995b-eb5c81d9a393","resolution":{"observed_at":"2026-08-14T11:56:36.688062Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:36.662535Z","title":"Saji, Normal form of the swallowtail and its applicat ions","venue":null,"work_id":"9d43b001-3f6a-47ac-b863-deabd9fd07de","year":2018},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.481676Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:3d8b3f5cd253bb16b623030252f1aba364cde2cf725e616b315468a497597765","observation_id":"5d8ff022-c99c-41ed-a1aa-f9fb0f913a01","resolution":{"observed_at":"2026-08-14T11:56:36.668907Z","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":"2026-08-14T11:56:36.643931Z","title":null,"venue":null,"work_id":"2f749986-13da-4b79-9580-d8bee7c08c87","year":1983},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.486336Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:444007f624525289262c2acb058ee18de03c986c38e99e12ad8e4d3b76045740","observation_id":"d183d8d0-8c27-4f76-a5c3-763c2bf97436","resolution":{"observed_at":"2026-08-14T11:56:36.649264Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:36.624949Z","title":"Teramoto, K","venue":null,"work_id":"601af615-9ddd-479f-be94-589eb42c787d","year":2017},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.491242Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:992c423036e08fc6b36e7b39d11c953a4890ca9e279d0035fb20a92de0a3b715","observation_id":"cbc4ced7-8cf0-45ef-9419-1029cbd86d64","resolution":{"observed_at":"2026-08-14T11:56:36.630092Z","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":"2026-08-14T11:56:36.606803Z","title":"Thom and H","venue":null,"work_id":"5bbff140-0f19-452f-8879-0ebc50ae75a8","year":1971},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.496133Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:2211989aa52a563b7a2dae0bc347fedfaac1d41a86ba30cd975e0dce0b445497","observation_id":"7566d397-5e92-4f8c-890f-4d6d5ee7ebab","resolution":{"observed_at":"2026-08-14T11:56:36.612696Z","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":"2026-08-14T11:56:36.590864Z","title":null,"venue":null,"work_id":"fcb60f14-6def-4702-bea4-a09a46d3b0ff","year":1972},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.501109Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:9f75e6e4518ba87d8e1f1d435a3ce8ef5f40e13d47ada900bfce8ba1465dbaf5","observation_id":"4df9d389-5435-4f9d-81d9-5eed11cd2bb4","resolution":{"observed_at":"2026-08-14T11:56:36.595821Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:36.573514Z","title":null,"venue":null,"work_id":"006912dd-3d09-445c-b803-be1d9967f681","year":1981},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.506123Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:bf1c38d4f240a230f386db4dac81543c99691a1a99f5cb35ae6a82463e17e255","observation_id":"89797d39-2339-4f58-aec5-ffc857c0edcf","resolution":{"observed_at":"2026-08-14T11:56:36.579283Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-14T11:56:36.555795Z","title":null,"venue":null,"work_id":"c775e2ee-df79-4792-aa87-7cd3de084c34","year":1995},"citing_paper":{"arxiv_id":"1908.08232","last_updated":"2019-08-22T07:18:47Z","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:36.511261Z"},"links":{"citing_paper":"/paper/1908.08232"},"observation_digest":"sha256:383e4b4a98f763702862e2f35598603101f5b0981f7a0b107db1f01eed9b8c36","observation_id":"57214af3-6c51-4066-8ab2-a4ce2e59f965","resolution":{"observed_at":"2026-08-14T11:56:36.561987Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"1908.08232","last_updated":"2019-08-22T07:18:47Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-16T05:46:11.315368Z","submitted_at":"2019-08-22T07:18:47Z","title":"Geometric equivalence among smooth map germs"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":0,"verified_fuzzy":19},"total_outbound_references":38},"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 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:1908.08232."}