{"as_of":"2026-08-16T13:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:73a9779fe68d0bf80697713b0a931254e2abc82bc0072a12e823c1043bfa2998","coverage":[{"denominator":25,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":25,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T05:23:32.260217Z","state":"measured"},{"denominator":25,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":25,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1909.01581/citation-record","integrity":"/paper/1909.01581/integrity","json":"/paper/1909.01581/citation-record.json","paper":"/paper/1909.01581"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:23:33.933668Z","title":"On generalised free products","venue":null,"work_id":"2bdd285c-1b6b-49ce-a12b-6a9d225be5a3","year":1962},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:31.771498Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:2bf3d40dedca7db926cbb56cc4836107b934e0bad15de947636f980b83f3019d","observation_id":"812fa809-c957-4454-8e50-fb980d5b2366","resolution":{"observed_at":"2026-08-14T05:23:33.939008Z","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":"2026-08-14T05:23:33.919028Z","title":"Berthier, D","venue":null,"work_id":"26320072-ad27-4499-94a5-b187dd020d2f","year":1996},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:31.823309Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:36b9abcd21a885ac3fe3e138ee0f4d8d446cd74673fec32563050e1b94fc9754","observation_id":"75867336-43e7-4579-8e98-03f98a9331e5","resolution":{"observed_at":"2026-08-14T05:23:33.923432Z","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":"2026-08-14T05:23:33.898937Z","title":"Dense embeddings of surface groups","venue":null,"work_id":"00861c11-5f45-4c4b-afc1-a19f08475c32","year":2006},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:31.828287Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:84e0a9daf745847ff7593b2ce025535e53c1591ef30dc1e03f7dfe13d50c80be","observation_id":"cd16f4db-cfc6-427c-b5fa-f219d7f89045","resolution":{"observed_at":"2026-08-14T05:23:33.908559Z","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":"2026-08-14T05:23:33.837372Z","title":null,"venue":null,"work_id":"aae928aa-3b10-4079-a28a-980246ce93cb","year":1986},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:31.833339Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:53445c443cf31ecc7488b2d8487cc15d0b7796afcbee196d89132a134089b488","observation_id":"5931b434-9a47-4671-8afd-c17b0ada60f4","resolution":{"observed_at":"2026-08-14T05:23:33.864025Z","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":"2026-08-14T05:23:33.794957Z","title":"Some algebraic aspects of the center problem for ordinary differential equations","venue":null,"work_id":"f6766d17-a35f-403d-8cdf-eb3c277d7e5b","year":2010},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:31.838936Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:9fe9c38e97f837db0c614f1ef9f356811f01533176ae58f395b5b3d6ee38fc30","observation_id":"67c3e8b7-f8d6-4e7e-a4be-4e60373ed35e","resolution":{"observed_at":"2026-08-14T05:23:33.800207Z","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":"1908.04918","last_updated":"2019-08-14T01:51:10Z","snapshot_observed_at":"2026-08-14T13:26:32.164021Z","submitted_at":"2019-08-14T01:51:10Z","title":"Subgroups of the Group of Formal Power Series with the Big Powers Condition","version":1},"cited_work":{"arxiv_id":"1908.04918","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.04918","snapshot_observed_at":"2026-08-14T05:23:32.296976Z","title":"Subgroups of the Group of Formal Power Series with the Big Powers Condition","venue":"math.GR","work_id":"dd41a0b0-5fdc-4126-9fc3-f2682de717fd","year":2019},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:31.844185Z"},"links":{"cited_paper":"/paper/1908.04918","citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:46bead16f0638558465f83789b0bfeef2d91bf235baaff4519cb7c54f8c0fc00","observation_id":"c6093e56-efe9-41cd-8c58-3514386d39d2","resolution":{"observed_at":"2026-08-14T05:23:32.411543Z","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":"2026-08-14T05:23:33.779712Z","title":"The Nottingham group","venue":null,"work_id":"44fb0549-0ead-42b5-8d33-7bc645aeae86","year":2000},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:31.886208Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:84130b4816cb25076dcd544c6f1505343e8fb2518f0248f55f3a5a62dca53f7e","observation_id":"875e9e8a-a5a2-41d5-8d71-ee45b4ae181a","resolution":{"observed_at":"2026-08-14T05:23:33.784668Z","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":"2026-08-14T05:23:33.764800Z","title":"Quelques problèmes en géométrie feuilletée pour les 60 années de l’IMPA.Bull","venue":null,"work_id":"57c7ed06-61e7-4f2a-8254-97a7992b3d0d","year":2013},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.011253Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:ff732668ccb58df823447486a2f18555d73c34392fec363054856b13fb9fd182","observation_id":"e996579f-ce4b-4199-9436-dd0d4add4144","resolution":{"observed_at":"2026-08-14T05:23:33.769660Z","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":"2026-08-14T05:23:33.686357Z","title":"Limit groups as limits of free groups.Israel J","venue":null,"work_id":"7f207d90-a847-4b49-884f-e139dfb62082","year":2005},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.016858Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:7d6bda9586b5c34d038886668f1e93de3642f05cb7c57ebd52dd5353a257cd13","observation_id":"d0b0acb1-ee06-4595-a01f-b113cb110b2c","resolution":{"observed_at":"2026-08-14T05:23:33.752442Z","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":"2026-08-14T05:23:33.544875Z","title":null,"venue":null,"work_id":"f0f72dc8-0e9a-4b20-aff9-d8c57b6cafa7","year":1992},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.042706Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:02f1ce619e83f45a652f794f294ad825ea3556d9065e3ba18e149840676eed88","observation_id":"fb387404-e6b1-4f36-b73f-3ad8e9c018ed","resolution":{"observed_at":"2026-08-14T05:23:33.595378Z","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":"2026-08-14T05:23:33.528544Z","title":"Herman and J.-C","venue":null,"work_id":"ef43ea7a-36a7-4e77-8518-52fa8d5b1a46","year":1981},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.058726Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:bf79fd3f7faebe96ffc25c4a6cda7d7e77ab84d5a6eb36cef2e648412fec3c9b","observation_id":"cb301770-bd4c-4425-be9d-2d96c04cdbf2","resolution":{"observed_at":"2026-08-14T05:23:33.533728Z","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":"2026-08-14T05:23:33.513532Z","title":"Ilyashenko and A","venue":null,"work_id":"8bc1f48e-08a3-45aa-bb90-db4a2ac2d39b","year":1994},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.067819Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:7645b9bbf9516beb220ebd9c05f46fce10ee553f038bb151ffb454312b705a66","observation_id":"e66b1922-9821-45dc-9101-07dbd3df47f7","resolution":{"observed_at":"2026-08-14T05:23:33.518539Z","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":"2026-08-14T05:23:33.456822Z","title":null,"venue":null,"work_id":"51f2cbe4-bd64-46ba-b19f-1aa61bf553fc","year":1954},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.086416Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:b5ea040792e023b6d29b20c80fb0c06239a2aa0be05c3977ac78657ef122b5b5","observation_id":"bc8678a0-f179-4710-9ab8-bef43b807d8a","resolution":{"observed_at":"2026-08-14T05:23:33.491289Z","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":"2026-08-14T05:23:33.433093Z","title":null,"venue":null,"work_id":"77604045-cd6c-45a4-8824-083299c58eb9","year":null},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.107227Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:e16ee81beec0586e1c1d30824459aace35351d10bddddca4711a089fb884697a","observation_id":"2e224055-6b6e-4620-92d1-9b60207ad65e","resolution":{"observed_at":"2026-08-14T05:23:33.437751Z","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":"2026-08-14T05:23:33.417534Z","title":null,"venue":null,"work_id":"da45348f-637d-46be-9d00-5c8c1f7ab5d6","year":1982},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.183564Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:464d1e9a4c3cd85cb38c9e3b15ac3a441869ed2fe156a8d0b50f200392f958c2","observation_id":"bcc3475b-c3fb-4365-aabf-3d32e68813db","resolution":{"observed_at":"2026-08-14T05:23:33.422776Z","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":"2026-08-14T05:23:33.327971Z","title":null,"venue":null,"work_id":"a59c3bb1-a02b-4389-bd62-2d3ba5ebfd56","year":1959},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.202007Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:9c8c2f5adbbca9e9f34473a80670d51a3b7b875d776389b282702d37045dc522","observation_id":"cba38608-8319-489d-8335-6786793a0cea","resolution":{"observed_at":"2026-08-14T05:23:33.370885Z","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":"2026-08-14T05:23:33.247944Z","title":"Mattei, J","venue":null,"work_id":"efd91400-262e-450b-beb0-cf51d8591084","year":2013},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.215535Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:aa40bb39474c56d1f2e066a7810bf30d4059639954255b27aebbec45616f985e","observation_id":"ca966d13-e2f5-4671-8502-48efec23c59a","resolution":{"observed_at":"2026-08-14T05:23:33.254848Z","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":"2026-08-14T05:23:33.061395Z","title":"Dynamics in one complex variable , volume 160 of Annals of Mathematics Studies","venue":null,"work_id":"37a0fe20-e0aa-4cd7-9fdc-acf56efe1168","year":2006},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.220803Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:d15f869b535233fbc306ae0447639bdd08a372fa2f350aeaf9ba3b5bd4660d23","observation_id":"ba5df766-41f4-4508-b1b2-edf38702409d","resolution":{"observed_at":"2026-08-14T05:23:33.191078Z","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":"2026-08-14T05:23:32.983549Z","title":null,"venue":null,"work_id":"e9594ba6-0bac-4706-9a60-8efff47166c2","year":1993},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.226842Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:cd337e3883a11c65c856471460cce6452ac4c388c3262b1e299a792a7a242473","observation_id":"d59a858e-bff0-4b4d-8365-ba61d642685e","resolution":{"observed_at":"2026-08-14T05:23:32.988995Z","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":"2026-08-14T05:23:32.967250Z","title":"Iteration of analytic functions","venue":null,"work_id":"7f3a76b3-fda5-40eb-b6b0-a46e27698ddd","year":1942},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.232208Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:8f9833762b5b1c632f87cd15264f09da715bad446e04216ed4849228457744e8","observation_id":"fb1c9a88-276e-44d1-b43e-382d66ba23dc","resolution":{"observed_at":"2026-08-14T05:23:32.972868Z","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":"2026-08-14T05:23:32.947116Z","title":"Sternberg","venue":null,"work_id":"5ce32b9c-b965-4906-8029-e4174f834762","year":1958},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.237444Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:cbbdd73c665a80f8930a97b860684255459047cbd2c6c401dc2c0f2955fcc8b7","observation_id":"f092e8d8-d1b7-49f0-b51d-6a6196866310","resolution":{"observed_at":"2026-08-14T05:23:32.954427Z","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":"2026-08-14T05:23:32.750668Z","title":"Almost all ﬁnitely generated subgroups of the Nottingham group are free","venue":null,"work_id":"7385f3d5-ee80-441b-a7c3-c5f6dacb1687","year":2005},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.242199Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:a51b28f9af50245859747670969a5968d8ab24ca0a40f7aa8f42b828513080be","observation_id":"528f3592-3a33-4089-90c0-b24baeb9b9bd","resolution":{"observed_at":"2026-08-14T05:23:32.817800Z","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":"2026-08-14T05:23:32.729054Z","title":null,"venue":null,"work_id":"0f8ff343-a3e6-49fd-801d-aca69934e370","year":1973},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.248387Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:572363e76445b20230fefd700eeea4cf55a13382b23fa0f322abcf4ab41cc78c","observation_id":"16aa32c2-6bf3-4f9b-a816-e54848325feb","resolution":{"observed_at":"2026-08-14T05:23:32.738347Z","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":"2026-08-14T05:23:32.530892Z","title":"Waldschmidt","venue":null,"work_id":"90015fd4-b764-4f2e-a41e-943529936c7a","year":1990},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.254205Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:111f2c21257bfdeb35b7c06905a73cc565191c546117b612fd832f0d491d95b7","observation_id":"dd360606-a508-4431-9326-40b3150c527f","resolution":{"observed_at":"2026-08-14T05:23:32.611482Z","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":"2026-08-14T05:23:32.514151Z","title":"The group generated by x↦→ x + 1 and x↦→ xp is free","venue":null,"work_id":"325df303-71ee-4877-b59a-44632a1257a9","year":1988},"citing_paper":{"arxiv_id":"1909.01581","last_updated":"2019-09-04T07:15:40Z","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T05:23:32.260217Z"},"links":{"citing_paper":"/paper/1909.01581"},"observation_digest":"sha256:cf6f7b47a30f4cc57dcbb0fb0041817b9de1c3e8fef2f5992803feff9a6dc009","observation_id":"a0fcdec1-8d00-4791-8529-8fc330eddb1a","resolution":{"observed_at":"2026-08-14T05:23:32.519847Z","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":"1909.01581","last_updated":"2019-09-04T07:15:40Z","latest_version":1,"primary_category":"math.GR","snapshot_observed_at":"2026-08-16T05:26:20.641001Z","submitted_at":"2019-09-04T07:15:40Z","title":"Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable"},"reference_resolution":{"displayed":25,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":1,"verified_fuzzy":16},"total_outbound_references":25},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+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 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1909.01581."}