{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FVKOBSIXM73L57DDQO54KLQ6JY","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":"99e43186d0d37e5cccdb42e16bf5e0ee32ef7c19c67608b4654c44de229951c8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2015-03-18T17:41:18Z","title_canon_sha256":"d2ee45190a4bce5aa8965ac013603637d497e9a04cef379fb2f49585bae85924"},"schema_version":"1.0","source":{"id":"1503.05507","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05507","created_at":"2026-05-18T01:24:03Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05507v3","created_at":"2026-05-18T01:24:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05507","created_at":"2026-05-18T01:24:03Z"},{"alias_kind":"pith_short_12","alias_value":"FVKOBSIXM73L","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FVKOBSIXM73L57DD","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FVKOBSIX","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:f06abaebe420d743c5dd566aaf0d36dcddb759036441ee6d1d21c359b0765ea1","target":"graph","created_at":"2026-05-18T01:24:03Z","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 survival probability associated with a semi-classical matrix Shr\\\"odinger operator that models the predissociation of a general molecule in the Born-Oppenheimer approximation. We show that it is given by its usual time-dependent exponential contribution, up to a reminder term that is exponentially small (in the semiclassical parameter) with arbitrarily large rate of decay. The result applies in any dimension, and in presence of a number of resonances that may tend to infinity as the semiclassical parameter tends to 0.","authors_text":"Andr\\'e Martinez, Philippe Briet (CPT)","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2015-03-18T17:41:18Z","title":"Estimates on the molecular dynamics for the predissociation process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05507","kind":"arxiv","version":3},"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":"sha256:310497dcbaa7a328f220d6ab8a0dd6f60417e692b36f5190b8b67dbd6050ba27","target":"record","created_at":"2026-05-18T01:24:03Z","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":"99e43186d0d37e5cccdb42e16bf5e0ee32ef7c19c67608b4654c44de229951c8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2015-03-18T17:41:18Z","title_canon_sha256":"d2ee45190a4bce5aa8965ac013603637d497e9a04cef379fb2f49585bae85924"},"schema_version":"1.0","source":{"id":"1503.05507","kind":"arxiv","version":3}},"canonical_sha256":"2d54e0c91767f6befc6383bbc52e1e4e0ea4700d464d801424491ad56d7fecd3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d54e0c91767f6befc6383bbc52e1e4e0ea4700d464d801424491ad56d7fecd3","first_computed_at":"2026-05-18T01:24:03.878480Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:03.878480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9/hKndqFNtVsGULAWyQXKc4RPDj3QV2MW/JukNFuix2e7pzVRJfqS+0aVCA5eJrgTCaLGE4DOXiKzE9WSoF9BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:03.879263Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.05507","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:310497dcbaa7a328f220d6ab8a0dd6f60417e692b36f5190b8b67dbd6050ba27","sha256:f06abaebe420d743c5dd566aaf0d36dcddb759036441ee6d1d21c359b0765ea1"],"state_sha256":"8dcc593b13ace2636a8058f806ef199749f98c5d4f9efbcb573413fb76ce3456"}