{"as_of":"2026-08-16T19:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c34dfcc76a99f61b781c9c421b1d546a0c68f45d21cb80e611243834149f39f0","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:57:59.611640Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"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/1908.00599/citation-record","integrity":"/paper/1908.00599/integrity","json":"/paper/1908.00599/citation-record.json","paper":"/paper/1908.00599"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:57:59.965477Z","title":null,"venue":null,"work_id":"7965fe5d-3ddf-4bc3-9820-ea94630c3b77","year":2012},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.504876Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:783ca7f4a46e466eb24957893673ab818f2734f3a63036d213a70e539ef67eb3","observation_id":"7794a89f-823c-4a71-bbd4-2077b8ecc46c","resolution":{"observed_at":"2026-08-14T15:57:59.968831Z","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":"2026-08-14T15:57:59.955150Z","title":null,"venue":null,"work_id":"41c218a2-acc5-4f3f-902f-401eafd38aaf","year":1964},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.509797Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:4a22018ed6c960f7f43c68aff0f695bcca36e7f63523cf0b347a8f5160c172a1","observation_id":"8766314e-b228-41bc-95aa-943e86a879a3","resolution":{"observed_at":"2026-08-14T15:57:59.958496Z","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":"2026-08-14T15:57:59.944187Z","title":"4, 1089–1179","venue":null,"work_id":"0edc44a0-66e6-47b3-8df7-e9c90ad1eb8e","year":2015},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.514499Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:8897e8c93bfa1dfd5879229505697a422558590f08378c36d40750555576d4bc","observation_id":"205a4186-c8c4-451c-95b4-b56ba12731e0","resolution":{"observed_at":"2026-08-14T15:57:59.947909Z","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":"2026-08-14T15:57:59.933389Z","title":"Dedicata 192, (2018)","venue":null,"work_id":"f9712248-20d3-4ebd-a597-2afdf93a5b12","year":2018},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.519084Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:0bd12338951cca9371aa50fc567b762f807cf5855554cbb491636f7c9192a359","observation_id":"c77ea5f2-9f7e-4bb0-b620-e1e5d41de522","resolution":{"observed_at":"2026-08-14T15:57:59.936993Z","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":"2002.09520","last_updated":"2020-02-21T19:30:46Z","snapshot_observed_at":"2026-08-16T10:28:57.181154Z","submitted_at":"2020-02-21T19:30:46Z","title":"Proper actions of discrete groups of affine transformations","version":1},"cited_work":{"arxiv_id":"2002.09520","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.09520","snapshot_observed_at":"2026-08-14T15:57:59.647966Z","title":"Proper actions of discrete groups of affine transformations","venue":"math.GR","work_id":"5ed12f0e-ffc0-4a11-b4af-5c9a3a310ad6","year":2020},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.523245Z"},"links":{"cited_paper":"/paper/2002.09520","citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:454a81511beb0e283fb89269f9fdf2f13ad61bc6a23ff5d485492684300215d8","observation_id":"81485bec-30d0-423e-bacb-e536cadb825b","resolution":{"observed_at":"2026-08-14T15:57:59.655454Z","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":"2026-08-14T15:57:59.920495Z","title":null,"venue":null,"work_id":"f5d423df-2a96-4084-a152-8c58cc013132","year":2018},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.527479Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:b59170e8083148c94195ed5e8ef1e4e8d156b17f54991da1e609795ab4d85349","observation_id":"0a0ddfb2-2f0b-47e3-acaa-4211cbf8bebe","resolution":{"observed_at":"2026-08-14T15:57:59.924216Z","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":"2026-08-14T15:57:59.907953Z","title":null,"venue":null,"work_id":"1a9a3105-c0af-4724-b232-96b73b0aedea","year":2018},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.532135Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:3c3cb0a3567ee32874d0c308168f7d79345d63af364ccc44013494d78256309a","observation_id":"67de28ea-6cb6-4c24-8453-104099ac6fee","resolution":{"observed_at":"2026-08-14T15:57:59.912030Z","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":"2026-08-14T15:57:59.895590Z","title":null,"venue":null,"work_id":"dfe184bf-b0eb-451e-ae4d-de05ea6990b9","year":2006},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.535492Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:b071ef67341c82f3d26f14d5fb4e64bf862f995d9fe45be9533a4a48916ed801","observation_id":"f264d975-ebf2-4640-b0a3-d5b21e2e69c1","resolution":{"observed_at":"2026-08-14T15:57:59.900044Z","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":"2026-08-14T15:57:59.883921Z","title":null,"venue":null,"work_id":"fb4d313d-704f-4aee-a91c-b10586344660","year":2018},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.538669Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:2c299241e47ef630bf7d31a6a01d9dfd8b772d2044fe8ba2c55fb90843776da2","observation_id":"a83d06a0-b712-4e78-a2db-4b370c3fa66b","resolution":{"observed_at":"2026-08-14T15:57:59.887992Z","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":"2026-08-14T15:57:59.871855Z","title":", arXiv .org (2017)","venue":null,"work_id":"1da3eaf2-31d8-47b3-bed2-ed2f023100bf","year":2017},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.542168Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:93e9d11b3956479d5af79000b79ccc69b14c2b7e606d65fc98a0ca57b0864c9b","observation_id":"e57acc7a-5f1f-4336-9d21-2dbb6442b8a5","resolution":{"observed_at":"2026-08-14T15:57:59.876007Z","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":"2026-08-14T15:57:59.859207Z","title":"Mar gulis, Proper affine actions and geodesic flows for hyperbolic surfaces , Annals of Maths 170 (2009), no","venue":null,"work_id":"c1132cef-ba4f-4d1c-8685-2ff29029d61b","year":2009},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.545793Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:5b7e2ab4b76a577dbcaae1902c44b174dd3570463e1ab452dd526fce56c28c94","observation_id":"a6ba2d8d-eae5-4e73-8328-8963976b0831","resolution":{"observed_at":"2026-08-14T15:57:59.864069Z","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":"2026-08-14T15:57:59.846831Z","title":"Margulis, Flat Lorentz 3-manifolds and cocompact Fuchsian groups, vol","venue":null,"work_id":"d6520cce-0080-43db-bc66-4a9f1b143099","year":2000},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.549318Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:02fe28e1dd5eb18519a3cda5edd69be6e93a86e6e1fce0fddb60e9524efd9234","observation_id":"12e2a6dc-ad0c-4707-a508-503d49a8e76b","resolution":{"observed_at":"2026-08-14T15:57:59.851256Z","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":"2026-08-14T15:57:59.835182Z","title":"2, 357–438","venue":null,"work_id":"c6f2b448-ab6a-4682-a48e-523a7ad92f30","year":2012},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.553115Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:87948cc89cc7a6e3952a22b5a001303d2e78023a1757560a2d3cdf235fd29a97","observation_id":"b6a71424-54a2-41af-bf4e-3882bb6c2c08","resolution":{"observed_at":"2026-08-14T15:57:59.838895Z","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":"2026-08-14T15:57:59.821862Z","title":"3, 449–473","venue":null,"work_id":"ff6db3d0-bb41-4b9c-bd85-e73da06b7288","year":1992},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.556545Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:be90ee9f8464a6bda48df08fdb6a2a81da0f601f358af6cfc0b6bfac6d68137c","observation_id":"f6d8038a-75ec-4a13-9ebf-416259ccf751","resolution":{"observed_at":"2026-08-14T15:57:59.826270Z","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":"2026-08-14T15:57:59.810244Z","title":null,"venue":null,"work_id":"a8c9dc33-1a8a-4c6c-89ec-7288adb040eb","year":2018},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.560219Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:327e9b710173acf83d4dcc0f1a8e5e38274ecffd23b7abfbf06b0a932d33f217","observation_id":"cf27df76-505f-461d-8c32-8d89d2a4cb93","resolution":{"observed_at":"2026-08-14T15:57:59.814294Z","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":"2026-08-14T15:57:59.799412Z","title":"3, 1127–1190","venue":null,"work_id":"f6eed04d-b106-4e27-9ebc-ce5e6c2633fe","year":2012},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.563517Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:53c3e4d6ef5fbcad3d927f83d4b5a6eff8b30a8312a3094b7daf280bf33bed37","observation_id":"28ea76e1-f2b1-4ef0-9def-7f88219bbeab","resolution":{"observed_at":"2026-08-14T15:57:59.803158Z","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":"2026-08-14T15:57:59.787435Z","title":"1, 15–31","venue":null,"work_id":"aea8acaf-6034-4089-9367-6c9595c4ef31","year":2001},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.567655Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:31648a76a97b55c69e3e59f7354d7c2903f9d3b3eb51a132ac8f525cce6faf59","observation_id":"f5f67e6a-d385-4276-95b7-fae397fb6258","resolution":{"observed_at":"2026-08-14T15:57:59.791400Z","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":"2026-08-14T15:57:59.775180Z","title":"1, 51–114","venue":null,"work_id":"3ed81d57-2431-426c-a8c2-75478dddaf92","year":2006},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.571947Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:f5212e2326c508aaf3f59044a477d6b38c82f19a36951fce357177ffd50c4c19","observation_id":"905cc14f-7432-49d5-8d2f-c6072c03453f","resolution":{"observed_at":"2026-08-14T15:57:59.778998Z","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":"2026-08-14T15:57:59.763806Z","title":"Quatrième Sér ie 51 (2018), no","venue":null,"work_id":"e870028e-5510-43cb-bbaf-be8b877e882b","year":2018},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.575837Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:fef7f577982879d36942f6bf274cc270c1d35fbf0eff65af3154814105cb9788","observation_id":"1bac465b-0732-494c-a498-01c687f109cf","resolution":{"observed_at":"2026-08-14T15:57:59.767913Z","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":"2026-08-14T15:57:59.752607Z","title":"123, 1994","venue":null,"work_id":"8d5e752a-411d-4cc2-ba86-faf29fd91c58","year":1994},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.580538Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:7536b19485d35bae1f7a22910fd7e299cc317bdd67929fa6de865fcc61bc343c","observation_id":"5b2c9281-e6a6-4a3b-911f-aa877a7ab20b","resolution":{"observed_at":"2026-08-14T15:57:59.756619Z","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":"2026-08-14T15:57:59.740840Z","title":"Margulis, Free completely discontinuous groups of a ffine transformations, Dokl","venue":null,"work_id":"5065f2ff-471b-41aa-929d-22c97a5af091","year":1983},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.584772Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:f55c63795ef95501b0513a4f4a0876e7e569eef024104c6ef4aaa4ec4239dc1a","observation_id":"1a15da09-2e9c-4612-8c44-0c4abdbd9a7b","resolution":{"observed_at":"2026-08-14T15:57:59.745081Z","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":"2026-08-14T15:57:59.728141Z","title":null,"venue":null,"work_id":"74d676da-1f45-46cd-9c11-02172b380005","year":1984},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.588961Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:8743b9c73d4e9697f30dbd9b2f4933f176a2c41b38e943f35bd58d3d191ba1d8","observation_id":"7bcefa03-a4c6-4304-b579-2da7d496351a","resolution":{"observed_at":"2026-08-14T15:57:59.733143Z","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":"2026-08-14T15:57:59.714633Z","title":null,"venue":null,"work_id":"88680af7-4fa3-4fbe-9d81-194cb8bce25a","year":2007},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.592927Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:37020e4b0a14e2bf67c31cd66c6780b08f8418c7b5fcf3b0da47150779cf0429","observation_id":"3a5c91d0-a71d-4f4a-80ed-6920ff70656d","resolution":{"observed_at":"2026-08-14T15:57:59.718609Z","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":"2026-08-14T15:57:59.703026Z","title":"3, 885–925","venue":null,"work_id":"6106c643-987d-4d9e-a0d3-cf124fea85a8","year":2017},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.597479Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:b9b7204618042d03011e65e9e8541995445c5db4ddc73813197aa7c637d0e831","observation_id":"d54c2ec8-7130-44cf-9f2a-c2ee78fe06fd","resolution":{"observed_at":"2026-08-14T15:57:59.706949Z","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":"2026-08-14T15:57:59.690865Z","title":null,"venue":null,"work_id":"bcd1849a-262e-4d75-bfb0-7d3923a887a3","year":2019},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.601753Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:23950ba0248347b6f5c5aebc4c159c49b529df2132d2ed7818fc9258027a8835","observation_id":"3d1c3ae3-ca4d-4b1f-93bb-787ed67e4e8f","resolution":{"observed_at":"2026-08-14T15:57:59.695220Z","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":"2026-08-14T15:57:59.679109Z","title":"2, 443–488","venue":null,"work_id":"c8e752c6-6f00-40b9-857c-51107ff5cdf0","year":2014},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.605965Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:d013abdf5d1f06561059b199eb97f0aa936f314a5b7af49283f12a2d19c340e3","observation_id":"6d65737b-780c-4852-82d1-c7ea76824f0a","resolution":{"observed_at":"2026-08-14T15:57:59.682827Z","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":"2026-08-14T15:57:59.665328Z","title":null,"venue":null,"work_id":"9c7a2932-b146-48fa-8d71-6f7a25f17dfa","year":2016},"citing_paper":{"arxiv_id":"1908.00599","last_updated":"2020-11-12T09:23:50Z","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T15:57:59.611640Z"},"links":{"citing_paper":"/paper/1908.00599"},"observation_digest":"sha256:aa47a9cb9beb29a7b00209ee52b55671af4c864464c82ffbc8c547bc42363fa4","observation_id":"0678dd12-e6f6-44d9-b20b-ebc2462b0f42","resolution":{"observed_at":"2026-08-14T15:57:59.669246Z","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":"1908.00599","last_updated":"2020-11-12T09:23:50Z","latest_version":3,"primary_category":"math.DG","snapshot_observed_at":"2026-08-16T04:36:04.851325Z","submitted_at":"2019-08-01T19:57:33Z","title":"Entropy and affine actions for surface groups"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":1,"verified_fuzzy":15},"total_outbound_references":27},"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 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.00599."}