{"as_of":"2026-08-09T15:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1ebc476e1decad23a6940e80e0ff804deaf823dc7324f1f16f7a9f8d911a5e01","coverage":[{"denominator":11,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T06:01:07.495412Z","state":"measured"},{"denominator":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2602.00925/citation-record","integrity":"/paper/2602.00925/integrity","json":"/paper/2602.00925/citation-record.json","paper":"/paper/2602.00925"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T06:01:06.595047Z","title":"Adler, P","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2602.00925","last_updated":"2026-06-08T02:33:26Z","snapshot_observed_at":"2026-08-03T06:01:04.917627Z","submitted_at":"2026-01-31T22:50:32Z","title":"On the degeneration of Kovalevskaya exponents of Laurent series solutions of quasi-homogeneous vector fields","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T06:01:06.595047Z"},"links":{"citing_paper":"/paper/2602.00925"},"observation_digest":"sha256:fad6ce7aee4473e74ac0c9e324f02b7ec160bff634df80b64a788f75aa46fb72","observation_id":"2f74bac9-dffd-414b-808f-903ed41c3426","resolution":{"observed_at":"2026-08-03T06:01:06.595047Z","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":"2026-08-03T06:01:06.690044Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2602.00925","last_updated":"2026-06-08T02:33:26Z","snapshot_observed_at":"2026-08-03T06:01:04.917627Z","submitted_at":"2026-01-31T22:50:32Z","title":"On the degeneration of Kovalevskaya exponents of Laurent series solutions of quasi-homogeneous vector fields","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T06:01:06.690044Z"},"links":{"citing_paper":"/paper/2602.00925"},"observation_digest":"sha256:86c22ca259a03ccf8b4f5e4dfdb96d08a0fb40de7c34cdbfb7424422aa3495a3","observation_id":"940bed77-3457-4ff5-ac21-d260288a7ade","resolution":{"observed_at":"2026-08-03T06:01:06.690044Z","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":"2026-08-03T06:01:06.766174Z","title":"Chiba, Kovalevskaya exponents and the space of initial condit ions of a quasi- homogeneous vector field, J","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2602.00925","last_updated":"2026-06-08T02:33:26Z","snapshot_observed_at":"2026-08-03T06:01:04.917627Z","submitted_at":"2026-01-31T22:50:32Z","title":"On the degeneration of Kovalevskaya exponents of Laurent series solutions of quasi-homogeneous vector fields","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T06:01:06.766174Z"},"links":{"citing_paper":"/paper/2602.00925"},"observation_digest":"sha256:9a60a10dbd8c3094519cac72f1199b996f93227af77ca5f11c6e404bc8cc801c","observation_id":"8a96dfdb-a3c1-461a-9fb6-5cac1c3eb060","resolution":{"observed_at":"2026-08-03T06:01:06.766174Z","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":"2026-08-03T06:01:06.876265Z","title":"Chiba, The first, second and fourth Painlev´ e equations on we ighted projec- tive spaces, J","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2602.00925","last_updated":"2026-06-08T02:33:26Z","snapshot_observed_at":"2026-08-03T06:01:04.917627Z","submitted_at":"2026-01-31T22:50:32Z","title":"On the degeneration of Kovalevskaya exponents of Laurent series solutions of quasi-homogeneous vector fields","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T06:01:06.876265Z"},"links":{"citing_paper":"/paper/2602.00925"},"observation_digest":"sha256:8c76fabf5bfb880f537a83a44f89d68181fea4b0c54d242509352c3b26866fa2","observation_id":"3c09b68e-4162-47da-ba40-19d98dbf591a","resolution":{"observed_at":"2026-08-03T06:01:06.876265Z","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":"2026-08-03T06:01:06.942699Z","title":"Chiba, The third, fifth and sixth Painlev´ e equations on weighte d projective spaces, SIGMA 12, 019 (2016)","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2602.00925","last_updated":"2026-06-08T02:33:26Z","snapshot_observed_at":"2026-08-03T06:01:04.917627Z","submitted_at":"2026-01-31T22:50:32Z","title":"On the degeneration of Kovalevskaya exponents of Laurent series solutions of quasi-homogeneous vector fields","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T06:01:06.942699Z"},"links":{"citing_paper":"/paper/2602.00925"},"observation_digest":"sha256:08ec12e67cc8caa379b136368b17f6e4c16ce3313feff090009ca81221baf5d3","observation_id":"12313108-de81-46bb-97da-920365505b15","resolution":{"observed_at":"2026-08-03T06:01:06.942699Z","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":"2026-08-03T06:01:07.009514Z","title":"Chiba, Weights, Kovalevskaya exponents and the Painleve pro perty, Annales de l’Institut Fourier, 74, no","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.00925","last_updated":"2026-06-08T02:33:26Z","snapshot_observed_at":"2026-08-03T06:01:04.917627Z","submitted_at":"2026-01-31T22:50:32Z","title":"On the degeneration of Kovalevskaya exponents of Laurent series solutions of quasi-homogeneous vector fields","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T06:01:07.009514Z"},"links":{"citing_paper":"/paper/2602.00925"},"observation_digest":"sha256:9b4a14fb4251ddb1ea1eaea08204a7386cc726d7f7278e7159ca6da171384bdf","observation_id":"bf2bf4e3-d310-4124-ab21-8ed5a92728a4","resolution":{"observed_at":"2026-08-03T06:01:07.009514Z","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":"2026-08-03T06:01:07.115519Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2602.00925","last_updated":"2026-06-08T02:33:26Z","snapshot_observed_at":"2026-08-03T06:01:04.917627Z","submitted_at":"2026-01-31T22:50:32Z","title":"On the degeneration of Kovalevskaya exponents of Laurent series solutions of quasi-homogeneous vector fields","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T06:01:07.115519Z"},"links":{"citing_paper":"/paper/2602.00925"},"observation_digest":"sha256:a6451453b77503049b07dea2e75774a0d38dc0424c324caff58bfe4387040993","observation_id":"8479e916-70c8-49f8-b5f9-6dccdeb3133e","resolution":{"observed_at":"2026-08-03T06:01:07.115519Z","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":"2026-08-03T06:01:07.183464Z","title":"Costin, R","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2602.00925","last_updated":"2026-06-08T02:33:26Z","snapshot_observed_at":"2026-08-03T06:01:04.917627Z","submitted_at":"2026-01-31T22:50:32Z","title":"On the degeneration of Kovalevskaya exponents of Laurent series solutions of quasi-homogeneous vector fields","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T06:01:07.183464Z"},"links":{"citing_paper":"/paper/2602.00925"},"observation_digest":"sha256:708fd331c99daa2d32b084e236e705a79e6dad2f01cb9e8884c7eb14c00a2402","observation_id":"ffa0f81d-f55d-4f8e-a186-bbab7f436d43","resolution":{"observed_at":"2026-08-03T06:01:07.183464Z","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":"2026-08-03T06:01:07.257680Z","title":"Goriely, Painlev´ e analysis and normal forms theory, Phys","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2602.00925","last_updated":"2026-06-08T02:33:26Z","snapshot_observed_at":"2026-08-03T06:01:04.917627Z","submitted_at":"2026-01-31T22:50:32Z","title":"On the degeneration of Kovalevskaya exponents of Laurent series solutions of quasi-homogeneous vector fields","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T06:01:07.257680Z"},"links":{"citing_paper":"/paper/2602.00925"},"observation_digest":"sha256:31f4a0480451b2eebe2ad934b8071717e442a814f26bb9f98f3aa18e579c5d67","observation_id":"7118942e-28fe-4f67-9bc1-090c362c8cb1","resolution":{"observed_at":"2026-08-03T06:01:07.257680Z","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":"2026-08-03T06:01:07.381452Z","title":"Goriely, Integrability and nonintegrability of dynamical syste ms, Advanced Series in Nonlinear Dynamics, 19, World Scientific Publishing Co., Inc., Riv er Edge, NJ (2001)","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2602.00925","last_updated":"2026-06-08T02:33:26Z","snapshot_observed_at":"2026-08-03T06:01:04.917627Z","submitted_at":"2026-01-31T22:50:32Z","title":"On the degeneration of Kovalevskaya exponents of Laurent series solutions of quasi-homogeneous vector fields","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T06:01:07.381452Z"},"links":{"citing_paper":"/paper/2602.00925"},"observation_digest":"sha256:d24e624864c516f4653641da2f9be24fa131f67d4db1f0542707aec0ad549bd8","observation_id":"3a9ba3bc-d784-4b6d-9b71-80bbe75b3c5b","resolution":{"observed_at":"2026-08-03T06:01:07.381452Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1304.7982","last_updated":"2013-04-30T13:15:31Z","snapshot_observed_at":"2026-07-06T03:12:20.566854Z","submitted_at":"2013-04-30T13:15:31Z","title":"Painleve Test and the Resolution of Singularities for Integrable Equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1304.7982","snapshot_observed_at":"2026-08-03T06:01:07.495412Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.00925","last_updated":"2026-06-08T02:33:26Z","snapshot_observed_at":"2026-08-03T06:01:04.917627Z","submitted_at":"2026-01-31T22:50:32Z","title":"On the degeneration of Kovalevskaya exponents of Laurent series solutions of quasi-homogeneous vector fields","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T06:01:07.495412Z"},"links":{"cited_paper":"/paper/1304.7982","citing_paper":"/paper/2602.00925"},"observation_digest":"sha256:c500c4f6441af15c5e719805312dac28beee8f54d31ca7c2d63d95e413719e3d","observation_id":"7547eeaa-a4d6-4a80-b210-6f1f29ffec3c","resolution":{"observed_at":"2026-08-03T06:01:07.495412Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2602.00925","last_updated":"2026-06-08T02:33:26Z","latest_version":2,"primary_category":"math.DS","snapshot_observed_at":"2026-08-03T06:01:04.917627Z","submitted_at":"2026-01-31T22:50:32Z","title":"On the degeneration of Kovalevskaya exponents of Laurent series solutions of quasi-homogeneous vector fields"},"reference_resolution":{"displayed":11,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":11},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2602.00925."}