{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:C3YJ25KDJQ5I65H36R5FGKEHVY","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f6109acd2e1cddc7735670639cb53d25eec0fd1eabfb150901d26ae0fc65e7dc","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-06-02T19:13:12Z","title_canon_sha256":"3845578229e2683221153ed5357c481f5198972a32967bdc9e1e3ec8e144d651"},"schema_version":"1.0","source":{"id":"1406.0826","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.0826","created_at":"2026-05-18T01:43:02Z"},{"alias_kind":"arxiv_version","alias_value":"1406.0826v1","created_at":"2026-05-18T01:43:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0826","created_at":"2026-05-18T01:43:02Z"},{"alias_kind":"pith_short_12","alias_value":"C3YJ25KDJQ5I","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"C3YJ25KDJQ5I65H3","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"C3YJ25KD","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:b8daf55379a86a886b42f90c17f8c016f5a4eac7cfe4cb4712fa0db912d21423","target":"graph","created_at":"2026-05-18T01:43:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This paper is a continuation of our analysis, begun in arXiv:1310.2276, of the rational solutions of the inhomogeneous Painleve-II equation and associated rational solutions of the homogeneous coupled Painleve-II system in the limit of large degree. In this paper we establish asymptotic formulae valid near a certain curvilinear triangle in the complex plane that was previously shown to separate two distinct types of asymptotic behavior. Our results display both a trigonometric degeneration of the rational Painleve-II functions and also a degeneration to the tritronquee solution of the Painleve","authors_text":"Peter D. Miller, Robert J. Buckingham","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-06-02T19:13:12Z","title":"Large-degree asymptotics of rational Painleve-II functions. II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0826","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:027af916d53cf6508e5b3c3f2300731d0f8c017ec93150b40b9f41ece607163e","target":"record","created_at":"2026-05-18T01:43:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f6109acd2e1cddc7735670639cb53d25eec0fd1eabfb150901d26ae0fc65e7dc","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-06-02T19:13:12Z","title_canon_sha256":"3845578229e2683221153ed5357c481f5198972a32967bdc9e1e3ec8e144d651"},"schema_version":"1.0","source":{"id":"1406.0826","kind":"arxiv","version":1}},"canonical_sha256":"16f09d75434c3a8f74fbf47a532887ae1740ce69e9046f9077e76c4cc4e1195e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16f09d75434c3a8f74fbf47a532887ae1740ce69e9046f9077e76c4cc4e1195e","first_computed_at":"2026-05-18T01:43:02.471530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:02.471530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RbDQbzav2RbomvjbfYrDj4dsitivxscdsHBDyZaMNQnt4Zg33OxCr2XpDQ6g550xCV2NeV/BknCVo954iw/dCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:02.471946Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.0826","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:027af916d53cf6508e5b3c3f2300731d0f8c017ec93150b40b9f41ece607163e","sha256:b8daf55379a86a886b42f90c17f8c016f5a4eac7cfe4cb4712fa0db912d21423"],"state_sha256":"cf9d79b22da9e05e8b8678f5c2dd2e5621424edf6f84ae08b7aecb93a2eca5af"}