{"as_of":"2026-08-12T13:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:22c09efd81d213b848464787bfdab498869e8bcd1eb836baad6996fd2155437e","coverage":[{"denominator":30,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T15:31:11.823632Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2507.15745/citation-record","integrity":"/paper/2507.15745/integrity","json":"/paper/2507.15745/citation-record.json","paper":"/paper/2507.15745"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:31:12.218502Z","title":"Proof of a Theorem of A. N. KOLMOGOROV on the Invari- ance of Quasi-Periodic Motions Under Small Perturbations of the Hamiltonian","venue":null,"work_id":"51eb5275-ea94-4192-9643-5586f95e7bad","year":1963},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.735338Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:c1e81cf29e16aaa42a11e18821b622c123226261debfe52797b0208a840e508a","observation_id":"8a261ee2-21aa-4e6c-968d-98d39a64d666","resolution":{"observed_at":"2026-08-06T15:31:12.221261Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:31:11.738860Z","title":"Gravitational Potential Harmonics from the Shape of an Ho- mogeneous Body","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.738860Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:db4bff746ebd0a4dc7f507382053fe40e8142c2dea4dc6b97789c955509bbc4e","observation_id":"d3af9fb9-bfa9-4909-b46c-d69d6b5bc1ef","resolution":{"observed_at":"2026-08-06T15:31:11.738860Z","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":"2026-08-06T15:31:11.742051Z","title":"Description and behavior of streamlines in planetary rings","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.742051Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:44fa0b6b0bb0d513e68070b3832fc72b7775b1716f05a7ed86b2f4f682c8fb8f","observation_id":"b7d9d6fb-3674-4e00-8c36-36a5e6453b74","resolution":{"observed_at":"2026-08-06T15:31:11.742051Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1023/a:1008224825003","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Comment on a Formula for the Gravitational Harmonic Coeffi- cients of a Triaxial Ellipsoid","venue":"Celestial Mechanics and Dynamical Astronomy","work_id":"4320187c-4a85-421a-b336-f43f003d720b","year":1997},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.745068Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:cee67ce37207fe8beed25171a47c220d9eb8fbd44f3ee44c8d81bf47a433d510","observation_id":"5732fcab-e7aa-4709-a2c0-76d7e1181f64","resolution":{"observed_at":"2026-08-06T15:31:11.899876Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1409.7259","last_updated":"2014-09-25T13:55:15Z","snapshot_observed_at":"2026-07-06T03:55:34.680659Z","submitted_at":"2014-09-25T13:55:15Z","title":"A ring system detected around the Centaur (10199) Chariklo","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1409.7259","snapshot_observed_at":"2026-08-06T15:31:11.748371Z","title":"A ring system detected around the Centaur (10199) Chariklo","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.748371Z"},"links":{"cited_paper":"/paper/1409.7259","citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:de1117cdd8b5704fe051ddeb63b5658f6b19213751b2279f032973eefca27673","observation_id":"4f54d938-e2af-4982-ab22-a733b7b4cc86","resolution":{"observed_at":"2026-08-06T15:31:11.748371Z","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":"2026-08-06T15:31:12.209475Z","title":"Dynamical support to Haumea, Chariklo, Quaoar rings in a 1:3 spin-orbit resonance","venue":null,"work_id":"f321ae63-e6f9-4045-a3a2-16c2c5358ba2","year":2025},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.751889Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:d20107e604ba15f89d9d38c6f2faeefa41b72961ce5609f0b0064c71f80c30f4","observation_id":"5861867c-f551-4c55-8808-8f5d046d45f4","resolution":{"observed_at":"2026-08-06T15:31:12.212523Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:31:11.754851Z","title":"Analysis of resonances in the spin-orbit problem in Celestial Mechanics: Higher order resonances and some numerical experiments (Part II)","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.754851Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:4dcc5b4bb903e67f0206c477f63c973c90bd0cc839b723a4287477a9fe8b78ba","observation_id":"f9e68865-cd2f-4b5b-878c-bf5dd04e0e1a","resolution":{"observed_at":"2026-08-06T15:31:11.754851Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf00945107","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Analysis of resonances in the spin-orbit problem in Celes- tial Mechanics: The synchronous resonance (Part I)","venue":"Zeitschrift für angewandte Mathematik und Physik","work_id":"ab407419-a18c-423f-aed0-6a1c0e07333b","year":1990},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.757938Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:96b609225a33632078c4d2510efec7ec1f57d11d170d0972f9aae0d004fce43b","observation_id":"94947d65-afd0-4373-91b4-8304cc8900cd","resolution":{"observed_at":"2026-08-06T15:31:11.884842Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:31:11.760510Z","title":"Stability and Chaos in Celestial Mechanics","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.760510Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:4aa241562aafb9d9797956823f2439293313f36d64c363e75c811c208eec47aa","observation_id":"c0fdc791-323f-4816-91eb-4d8915d2a502","resolution":{"observed_at":"2026-08-06T15:31:11.760510Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-06T15:31:12.201249Z","title":"KAM Stability and Celestial Mechanics","venue":null,"work_id":"d4278391-b852-4466-aaf6-c36d02f274a2","year":2007},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.763131Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:519241f8aced30803649115e09eab722df8ce0ee15a7f4707134dae5fbfc1275","observation_id":"fbbefc0c-f5f8-4349-b662-02efe8f5f6d8","resolution":{"observed_at":"2026-08-06T15:31:12.203906Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:31:12.192853Z","title":"Principles of stellar dynamics","venue":null,"work_id":"d417e389-f846-49a8-991d-31c21736bfed","year":1942},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.765649Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:c420d16f1370ca7ba543f003903ba3c87566186be72eb2b718308b2fcdf4ef3d","observation_id":"656d44da-25dd-4649-ba9e-6415bd34c304","resolution":{"observed_at":"2026-08-06T15:31:12.195758Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:31:12.183739Z","title":"The stability around Chariklo and the confinement of its rings","venue":null,"work_id":"776be272-8e04-4906-82a0-fd9c3a359b3d","year":2023},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.768548Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:85525c7ea8ff2cd4b3495d0c86f63c901b81d49927547aed3f7e61ca6117d016","observation_id":"ad94eeb1-aea8-46e1-aa41-711891eac911","resolution":{"observed_at":"2026-08-06T15:31:12.186886Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"0182.00134","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:31:12.119449Z","title":"The dynamics of planetary rings","venue":null,"work_id":"28492156-ce1d-4fe2-972d-188932d9c448","year":1982},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.771460Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:df09e75f38d743278f913063482ee3483e86c0125cd372e13022d4c8b289e48f","observation_id":"adb91c26-8eb8-4bc8-a5f4-346e7feffd1e","resolution":{"observed_at":"2026-08-06T15:31:12.124225Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:31:12.174629Z","title":"On conservation of conditionally periodic mo- tions for a small change in Hamilton’s function","venue":null,"work_id":"2be3c23d-f109-4177-8362-9cab783fd547","year":1954},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.774116Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:2de7d7f7ce3d199b80af3a13cabb4e20b2bd9ceeec692ad6683f7870a6dc74b4","observation_id":"7841132e-8a7a-4df9-9fb7-5dcd9ca1a0a2","resolution":{"observed_at":"2026-08-06T15:31:12.177574Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:31:12.166498Z","title":"Regular and chaotic dynamics","venue":null,"work_id":"03df183b-cd76-4c0a-bc6a-181ec4c66e4c","year":2013},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.776934Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:18c7dbb4818858ba01ff480b452fc6dc2522d560020bbf32a6106b0626f77d2d","observation_id":"2e798e90-3ab4-4785-b5b9-08261de24ef3","resolution":{"observed_at":"2026-08-06T15:31:12.169176Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:31:12.157595Z","title":"Dynamics around non-spherical symmetric bodies - I. The case of a spherical body with mass anomaly","venue":null,"work_id":"483143b0-2707-4de1-a22a-4cf39e962bff","year":2022},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.779808Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:af6bc64196a21a0965c2c8178d0707af39e47f136b17eb1dfa9913dc487d679e","observation_id":"f50d423c-15dc-45be-beb6-e038099ed894","resolution":{"observed_at":"2026-08-06T15:31:12.161008Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.13415","last_updated":"2020-08-31T08:10:14Z","snapshot_observed_at":"2026-08-05T23:32:24.505393Z","submitted_at":"2020-08-31T08:10:14Z","title":"Ring dynamics around an oblate body with an inclined satellite: The case of Haumea","version":1},"cited_work":{"arxiv_id":"2008.13415","doi":null,"metadata_source":"pith","pith_arxiv_id":"2008.13415","snapshot_observed_at":"2026-08-06T15:31:12.044721Z","title":"Ring dynamics around an oblate body with an inclined satellite: The case of Haumea","venue":"astro-ph.EP","work_id":"fc30daf1-874e-4d16-bc47-7f72b9f004ee","year":2020},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.785732Z"},"links":{"cited_paper":"/paper/2008.13415","citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:fc7c2dc9a221962ab168de68b9b19fcb07c4396a47986a0be6de74172608052b","observation_id":"f05ee73c-2318-488d-b435-dd3a244a4e48","resolution":{"observed_at":"2026-08-06T15:31:12.047703Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:31:11.788585Z","title":"A dense ring of the trans-Neptunian object Quaoar outside its Roche limit","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.788585Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:866733390c27a9ea230c146f3d57d54c342346e0ab6ee4310781a303042df22a","observation_id":"3a97d7b7-544c-43cf-b1a6-0acc7e9717bc","resolution":{"observed_at":"2026-08-06T15:31:11.788585Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-06T15:31:12.148416Z","title":"On invariant curves of area-preserving mappings of an annulus","venue":null,"work_id":"d25d65d4-76fb-493d-853d-57a591b71cc4","year":1962},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.791223Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:47a233ea1dd9c262a9f650bbe396a726c7bb28b2440e3012edad3b63bb41970a","observation_id":"ca3f2e32-a3f7-4c27-aa73-b1ef3b7963f6","resolution":{"observed_at":"2026-08-06T15:31:12.151834Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1994.0136","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:31:12.031595Z","title":"Planetary Ring Dynamics","venue":null,"work_id":"587a7085-e634-44c7-8c5f-93ee722d5429","year":1994},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.794274Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:eecfd9d55ba6af30d3a175a32d913f76f8463fa9dd8a91fe5f94ff6aa702ce01","observation_id":"3e89d667-614f-4b9f-a180-07f147692d92","resolution":{"observed_at":"2026-08-06T15:31:12.036450Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:31:12.139894Z","title":"Murray and Stanley F","venue":null,"work_id":"48690b81-f5c7-4295-919b-87a8a3ca6a3b","year":1999},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.797030Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:dbae3ebd949bd2e8e4cd6aa12b6a7ead20e1fe852e4a01e4d5c75f9da43e7d81","observation_id":"0cd055e2-4b95-4dd8-9fb4-f84b0d9632bf","resolution":{"observed_at":"2026-08-06T15:31:12.142558Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.03113","last_updated":"2020-06-04T19:59:42Z","snapshot_observed_at":"2026-07-06T09:26:11.437761Z","submitted_at":"2020-06-04T19:59:42Z","title":"The size, shape, density and ring of the dwarf planet Haumea from a stellar occultation","version":1},"cited_work":{"arxiv_id":"2006.03113","doi":null,"metadata_source":"pith","pith_arxiv_id":"2006.03113","snapshot_observed_at":"2026-08-06T15:31:11.968876Z","title":"The size, shape, density and ring of the dwarf planet Haumea from a stellar occultation","venue":"astro-ph.EP","work_id":"6ff02a69-5068-4ebf-888b-caa8d8374b7a","year":2020},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.799964Z"},"links":{"cited_paper":"/paper/2006.03113","citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:73d52fb9eff6c0c2126de352f0e32f61d093c892761d066e7b833fd1f57339aa","observation_id":"fe56866f-38db-4a62-8c1b-facd399d94a2","resolution":{"observed_at":"2026-08-06T15:31:11.972582Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.09237","last_updated":"2023-04-20T11:53:20Z","snapshot_observed_at":"2026-08-05T06:42:09.462828Z","submitted_at":"2023-04-18T18:53:50Z","title":"The two rings of (50000) Quaoar","version":2},"cited_work":{"arxiv_id":"2304.09237","doi":null,"metadata_source":"pith","pith_arxiv_id":"2304.09237","snapshot_observed_at":"2026-08-06T15:31:11.956765Z","title":"The two rings of (50000) Quaoar","venue":"astro-ph.EP","work_id":"4110556c-fba3-4325-b6d6-5d577b93c80d","year":2023},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.802979Z"},"links":{"cited_paper":"/paper/2304.09237","citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:7cbd0c56390861d588a2cec2bf629e339285e24da122861da7bfab0936c2de0f","observation_id":"3ea34fa7-1ceb-4c7c-812f-675a4dd0c7e5","resolution":{"observed_at":"2026-08-06T15:31:11.960136Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:31:11.806056Z","title":"Dynamics around non-spherical symmetric bodies: II. The case of a prolate body","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.806056Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:322cce5f2f106256063ee20a529c70c6613d0b515d4d3db125ff956136ca9a38","observation_id":"8d77687e-209f-4700-a601-f482cf274887","resolution":{"observed_at":"2026-08-06T15:31:11.806056Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.09437","last_updated":"2018-11-23T11:39:29Z","snapshot_observed_at":"2026-08-03T10:35:52.942665Z","submitted_at":"2018-11-23T11:39:29Z","title":"Ring dynamics around non-axisymmetric bodies with application to Chariklo and Haumea","version":1},"cited_work":{"arxiv_id":"1811.09437","doi":null,"metadata_source":"pith","pith_arxiv_id":"1811.09437","snapshot_observed_at":"2026-08-06T15:31:11.944551Z","title":"Ring dynamics around non-axisymmetric bodies with application to Chariklo and Haumea","venue":"astro-ph.EP","work_id":"74ccdb9f-945f-43af-a206-bdf65ebaf6c0","year":2018},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.812202Z"},"links":{"cited_paper":"/paper/1811.09437","citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:a4e6acbbcaeddd28ad0af63f7139dc34ac4efe2799f792bf4d0c5e293c2483b7","observation_id":"0d0f9eb6-6162-43b0-91f5-bf920139210c","resolution":{"observed_at":"2026-08-06T15:31:11.948039Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:31:11.814893Z","title":"Dynamics of Planetary Rings","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.814893Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:1b0efaaa4e6ee780aeea8f3d8ba0492150c167ef538877a086aead31c05fe399","observation_id":"6d9f7736-67fa-4475-ba4a-b05cae909e49","resolution":{"observed_at":"2026-08-06T15:31:11.814893Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2001.06382","last_updated":"2020-01-17T15:42:56Z","snapshot_observed_at":"2026-08-12T12:40:27.242854Z","submitted_at":"2020-01-17T15:42:56Z","title":"Resonances in non-axisymmetric gravitational potentials","version":1},"cited_work":{"arxiv_id":"2001.06382","doi":null,"metadata_source":"pith","pith_arxiv_id":"2001.06382","snapshot_observed_at":"2026-08-06T15:31:11.932643Z","title":"Resonances in non-axisymmetric gravitational potentials","venue":"astro-ph.EP","work_id":"73ccdbad-6f91-4244-9c5c-b7f97fc7b67d","year":2020},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.817581Z"},"links":{"cited_paper":"/paper/2001.06382","citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:00c9560591d6e5adf1130fe4ba7a9926b4ee783473478e5c07f52f3f1ca187a5","observation_id":"5cb61d90-7506-4354-abe6-b39eb17021ac","resolution":{"observed_at":"2026-08-06T15:31:11.936145Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-94-007-5606-9_7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Planetary Rings","venue":null,"work_id":"1b3dfb72-1de8-45f3-8f23-0212c0d4fcc6","year":2013},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.821007Z"},"links":{"citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:d9add34357d660a6c75b4d0643e9f55d0433f87544dcef9533a1ab1be2e5880b","observation_id":"4c84d26c-2d43-4a21-9648-29e0a56a6936","resolution":{"observed_at":"2026-08-06T15:31:11.851128Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1902.03363","last_updated":"2019-02-09T02:55:34Z","snapshot_observed_at":"2026-07-06T07:32:06.461067Z","submitted_at":"2019-02-09T02:55:34Z","title":"On the location of the ring around the dwarf planet Haumea","version":1},"cited_work":{"arxiv_id":"1902.03363","doi":null,"metadata_source":"pith","pith_arxiv_id":"1902.03363","snapshot_observed_at":"2026-08-06T15:31:11.920626Z","title":"On the location of the ring around the dwarf planet Haumea","venue":"astro-ph.EP","work_id":"b622a21b-c8ac-4746-8694-03459b2ec7f3","year":2019},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.823632Z"},"links":{"cited_paper":"/paper/1902.03363","citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:fa31010c2d82f6e9afefbee1a4423fc817253f1de435b38a9cd587c3ea351ccb","observation_id":"2dae5300-4ed3-4888-a7c7-753466597fdb","resolution":{"observed_at":"2026-08-06T15:31:11.923830Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.01817","last_updated":"2021-12-03T10:04:33Z","snapshot_observed_at":"2026-07-06T12:14:59.637389Z","submitted_at":"2021-12-03T10:04:33Z","title":"Dynamics around Non-Spherical Symmetric Bodies: I. The case of a spherical body with mass anomaly","version":1},"cited_work":{"arxiv_id":"2112.01817","doi":null,"metadata_source":"pith","pith_arxiv_id":"2112.01817","snapshot_observed_at":"2026-08-06T15:31:12.055840Z","title":"Dynamics around Non-Spherical Symmetric Bodies: I. The case of a spherical body with mass anomaly","venue":"astro-ph.EP","work_id":"32445792-7374-47f8-abe6-be1b2e8fb8f6","year":2021},"citing_paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics","version":1},"reference_index":1469,"source":"pdf_text","source_observed_at":"2026-08-06T15:31:11.782556Z"},"links":{"cited_paper":"/paper/2112.01817","citing_paper":"/paper/2507.15745"},"observation_digest":"sha256:4d71d311f44a3cac00e5de0e5e25503a8bcf26a9a26c6fa429415ca56ba72050","observation_id":"c15f7e09-5005-4ec5-a1ed-230c7d912e09","resolution":{"observed_at":"2026-08-06T15:31:12.058922Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.15745","last_updated":"2025-07-21T15:58:54Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-08T17:27:24.745499Z","submitted_at":"2025-07-21T15:58:54Z","title":"Stability and bifurcations of resonances in ring's dynamics"},"reference_resolution":{"displayed":30,"state_counts":{"malformed_identifier":5,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":3,"verified_exact":10,"verified_fuzzy":10},"total_outbound_references":30},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2507.15745."}