{"as_of":"2026-08-19T09:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ce7422e89967f2efd04a3d4c128b2d3fa304aeabbcc97b3c8ea65ad8089736a8","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T23:10:25.634373Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T06:11:14.219160Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-12T00:36:16.705713Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.18705","snapshot_observed_at":"2026-08-07T06:11:14.219160Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.06142","last_updated":"2025-06-06T15:00:07Z","snapshot_observed_at":"2026-08-16T11:44:53.422724Z","submitted_at":"2025-06-06T15:00:07Z","title":"Automorphisms of fine curve graphs of planar surfaces","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-07T06:11:14.219160Z"},"links":{"cited_paper":"/paper/2501.18705","citing_paper":"/paper/2506.06142"},"observation_digest":"sha256:b3126542ebe4141056dbdbd82f0ebc5de3337937f8eb6e65144cb4fe04950c70","observation_id":"8664ec98-6ae1-4b8c-a09f-5f023d200092","resolution":{"observed_at":"2026-08-07T06:11:14.219160Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants","version":1},"cited_work":{"arxiv_id":"2501.18705","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.18705","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"5437948e-418f-470f-806a-a54f8d86aa74","year":null},"citing_paper":{"arxiv_id":"2604.25086","last_updated":"2026-04-28T00:44:47Z","snapshot_observed_at":"2026-07-06T23:11:02.043135Z","submitted_at":"2026-04-28T00:44:47Z","title":"Large flats in large subgraphs of fine curve graphs","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-07T14:55:12.090496Z"},"links":{"cited_paper":"/paper/2501.18705","citing_paper":"/paper/2604.25086"},"observation_digest":"sha256:2fb0e1bbf18479ed9be9a875957307ea1cf06d3d036bd523b3d0b1672cc33ec3","observation_id":"bdd8ec1a-6f9a-41ec-8daa-323cd3014f1d","resolution":{"observed_at":"2026-05-12T00:36:16.731215Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.18705/citation-record","integrity":"/paper/2501.18705/integrity","json":"/paper/2501.18705/citation-record.json","paper":"/paper/2501.18705"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"mmj/2020592","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:10:26.706918Z","title":"Automorphisms of the k-Curve Graph","venue":null,"work_id":"a2d7d76d-9df7-4b01-9119-f18c87c7143b","year":2021},"citing_paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T23:10:25.577777Z"},"links":{"citing_paper":"/paper/2501.18705"},"observation_digest":"sha256:2bcc8750e4825ec0d6b719c533faf3b78444c5dd4ddc8a831cf11dc50918e391","observation_id":"f55d71d4-0a2b-4dfb-adc5-941fcb891da3","resolution":{"observed_at":"2026-08-09T23:10:26.715375Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"ojm/1539158","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:10:26.478789Z","title":"On the complexity of finite subgraphs of the curve graph","venue":null,"work_id":"c7140af4-4f42-466b-9dc8-7f7c75d95fda","year":2018},"citing_paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T23:10:25.583154Z"},"links":{"citing_paper":"/paper/2501.18705"},"observation_digest":"sha256:6677aba0a0fa82b492598ec354cf57d60d513d8e750278f0b5fdcd52fc01cf86","observation_id":"2c44cee5-28f2-46dd-86aa-b394fb9583cb","resolution":{"observed_at":"2026-08-09T23:10:26.488676Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-09T23:10:26.757546Z","title":"The random graph embeds in the curve graph of any infinite genus surface","venue":null,"work_id":"0dc3e5ed-3f42-482b-ab8d-f87c9ef82b63","year":2017},"citing_paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T23:10:25.588002Z"},"links":{"citing_paper":"/paper/2501.18705"},"observation_digest":"sha256:ea528267b708cd57d84f91d7798957b3cab5a368b09aee95dd330a05d5497b1f","observation_id":"afdf0898-b3e9-46b6-a92a-7f573ced14ca","resolution":{"observed_at":"2026-08-09T23:10:26.762660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21463","last_updated":"2024-10-30T13:30:45Z","snapshot_observed_at":"2026-08-16T13:05:14.367460Z","submitted_at":"2024-10-28T19:04:51Z","title":"Automorphisms of smooth fine curve graphs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.21463","snapshot_observed_at":"2026-08-09T23:10:25.593212Z","title":"Automorphisms of smooth fine curve graphs","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T23:10:25.593212Z"},"links":{"cited_paper":"/paper/2410.21463","citing_paper":"/paper/2501.18705"},"observation_digest":"sha256:54063b1ac668ef09117d6f73745dd39d34d8aab02cf4f07c8f46fe60b5fff4a0","observation_id":"a39ff44c-cf66-47e8-975e-88f09754d84a","resolution":{"observed_at":"2026-08-09T23:10:25.593212Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:10:25.598744Z","title":"Homeomorphisms of surfaces that preserve continuously differen- tiable curves","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T23:10:25.598744Z"},"links":{"citing_paper":"/paper/2501.18705"},"observation_digest":"sha256:37b42da7ba2004b594271962524f35f711befe70cadc05eebf4df8d8db95b5d1","observation_id":"5648bcf3-1e55-4bc1-a8a8-592a22ea33ca","resolution":{"observed_at":"2026-08-09T23:10:25.598744Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.16041","last_updated":"2023-09-27T21:45:11Z","snapshot_observed_at":"2026-08-16T14:57:02.928381Z","submitted_at":"2023-09-27T21:45:11Z","title":"Automorphisms of the fine 1-curve graph","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.16041","snapshot_observed_at":"2026-08-09T23:10:25.603787Z","title":"Automorphisms of the fine 1-curve graph","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T23:10:25.603787Z"},"links":{"cited_paper":"/paper/2309.16041","citing_paper":"/paper/2501.18705"},"observation_digest":"sha256:9be80787fe18c1054092d98c92720f745091bc3643eebd73e6c5e52ebfdfed1a","observation_id":"1ee53f0a-c3f5-4ff9-96d7-3aadc567adb8","resolution":{"observed_at":"2026-08-09T23:10:25.603787Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:10:25.609550Z","title":"Quasi-morphisms on sur- face diffeomorphism groups","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T23:10:25.609550Z"},"links":{"citing_paper":"/paper/2501.18705"},"observation_digest":"sha256:ce75bfc6ee942236641f7f4f9365bfdb2f85e035bc043ea8b2a94dd0a8743d95","observation_id":"5e39b220-5597-43f8-92e2-1ca9b4794aeb","resolution":{"observed_at":"2026-08-09T23:10:25.609550Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.10490","last_updated":"2023-06-09T05:30:47Z","snapshot_observed_at":"2026-07-06T09:49:41.599755Z","submitted_at":"2020-08-24T14:52:18Z","title":"The model theory of the curve graph","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.10490","snapshot_observed_at":"2026-08-09T23:10:25.614371Z","title":"de la Nuez Gonz´ alez","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T23:10:25.614371Z"},"links":{"cited_paper":"/paper/2008.10490","citing_paper":"/paper/2501.18705"},"observation_digest":"sha256:93bfeacd7fafb46ca7373b3f4249096bae3e881f62a7534cc5c0be86f59248d7","observation_id":"c55532c5-5528-40ed-aa9c-c0eed3a9138d","resolution":{"observed_at":"2026-08-09T23:10:25.614371Z","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":"2026-08-09T23:10:26.740989Z","title":"Curves on 2-manifolds and isotopies","venue":null,"work_id":"ad3b3906-29ca-47fd-9b40-e191f3cc872e","year":1966},"citing_paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T23:10:25.619406Z"},"links":{"citing_paper":"/paper/2501.18705"},"observation_digest":"sha256:020dd9c66b1007c9219889b3dd375aa78fb4e64eb8496fc9c9835732193399c3","observation_id":"bfab4169-73ba-4ae4-8199-49a00f6937e3","resolution":{"observed_at":"2026-08-09T23:10:26.746668Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-09T23:10:25.629436Z","title":"Geometry of the complex of curves. I. Hyperbolic- ity","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T23:10:25.629436Z"},"links":{"citing_paper":"/paper/2501.18705"},"observation_digest":"sha256:58122f2cebfe6e5c35828c028d020f296ef08784cea36d9875fc51f7e0127668","observation_id":"0d428901-9ba6-4745-963a-96df2c4da094","resolution":{"observed_at":"2026-08-09T23:10:25.629436Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.05460","last_updated":"2022-10-11T14:02:23Z","snapshot_observed_at":"2026-08-16T16:25:10.362684Z","submitted_at":"2022-10-11T14:02:23Z","title":"Automorphisms of some variants of fine graphs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.05460","snapshot_observed_at":"2026-08-09T23:10:25.634373Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T23:10:25.634373Z"},"links":{"cited_paper":"/paper/2210.05460","citing_paper":"/paper/2501.18705"},"observation_digest":"sha256:ff5fa6ccc0d6fd0cbbffc3bb321fd082a2a6f77401bce1ba3d0db870feb52520","observation_id":"3e7190c7-f816-47c4-a721-73a7ccebb27f","resolution":{"observed_at":"2026-08-09T23:10:25.634373Z","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":"2026-08-09T23:10:26.726110Z","title":null,"venue":null,"work_id":"511e2b8c-2af6-4105-9228-2de781b1ea39","year":null},"citing_paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants","version":1},"reference_index":107,"source":"pdf_text","source_observed_at":"2026-08-09T23:10:25.624345Z"},"links":{"citing_paper":"/paper/2501.18705"},"observation_digest":"sha256:47c05de94e5ceae9f2e578bbb3a189071d1993471fc67eea7cea09b2894bf06a","observation_id":"40077183-1878-424f-a675-6c0d69f8553c","resolution":{"observed_at":"2026-08-09T23:10:26.730553Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.18705","last_updated":"2025-01-30T19:05:34Z","latest_version":1,"primary_category":"math.GT","snapshot_observed_at":"2026-08-13T13:58:26.693564Z","submitted_at":"2025-01-30T19:05:34Z","title":"Hyperbolicity, topology, and combinatorics of fine curve graphs and variants"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":2,"verified_fuzzy":2},"total_outbound_references":12},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 2 inbound Pith citation observations for arXiv:2501.18705."}