{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:E7R2CJT6UQD2OSN2QKWWN2WFZQ","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":"97a9bd8893fd264f465ffc6028706fb7609377034c8da8c69dc57baa9b631d0c","cross_cats_sorted":["math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-21T20:12:52Z","title_canon_sha256":"5e96baa2242ac4d424d4cb7d1813c8ae1ca4321e286e2cf88606749ca84ad7cf"},"schema_version":"1.0","source":{"id":"1401.5446","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.5446","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"arxiv_version","alias_value":"1401.5446v1","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5446","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"pith_short_12","alias_value":"E7R2CJT6UQD2","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"E7R2CJT6UQD2OSN2","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"E7R2CJT6","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:d0f5468fa569fc4c47209066e2ec19e7fd1ecdec4c35337b9c768d0f14644216","target":"graph","created_at":"2026-05-18T01:45:18Z","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":"We study the gap probabilities of the single-time Tacnode process. Through steepest descent analysis of a suitable Riemann-Hilbert problem, we show that under appropriate scaling regimes the gap probability of the Tacnode process degenerates into a product of two independent gap probabilities of the Airy processes.","authors_text":"Manuela Girotti","cross_cats":["math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-21T20:12:52Z","title":"Asymptotics of the Tacnode process: a transition between the gap probabilities from the Tacnode to the Airy process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5446","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":"sha256:21c71e0cd0c2c10c56976d02f25e38fd15cbe2b8fdf1e92d30769c514d196cd7","target":"record","created_at":"2026-05-18T01:45:18Z","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":"97a9bd8893fd264f465ffc6028706fb7609377034c8da8c69dc57baa9b631d0c","cross_cats_sorted":["math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-21T20:12:52Z","title_canon_sha256":"5e96baa2242ac4d424d4cb7d1813c8ae1ca4321e286e2cf88606749ca84ad7cf"},"schema_version":"1.0","source":{"id":"1401.5446","kind":"arxiv","version":1}},"canonical_sha256":"27e3a1267ea407a749ba82ad66eac5cc210a6500088998c3e39c7fcdc44a44fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27e3a1267ea407a749ba82ad66eac5cc210a6500088998c3e39c7fcdc44a44fe","first_computed_at":"2026-05-18T01:45:18.303519Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:18.303519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7/zLzcLYLM8PhH+XpCSMQChRAkCX1hQFtOlov4QauhNtj/MtkG5qSlOGkEL68POdwenRe5fRd0xcE9t88i5QAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:18.304035Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.5446","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21c71e0cd0c2c10c56976d02f25e38fd15cbe2b8fdf1e92d30769c514d196cd7","sha256:d0f5468fa569fc4c47209066e2ec19e7fd1ecdec4c35337b9c768d0f14644216"],"state_sha256":"4243559d316454cb3470ee214bd6a06f9d0f76839061a58680f90dbeb1de8cca"}