{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:CGA6CTVVO2YVBSEBCATRF3SHSM","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":"cdefb3e3accf33c2963bacfc50ccb65826dbeaa950545f4e5c4dc53e69e55c8e","cross_cats_sorted":["math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-09-12T15:48:14Z","title_canon_sha256":"d267b7eb778cf3d40d5a96983320e4c37acc964694139038525cd8072b1cc9a4"},"schema_version":"1.0","source":{"id":"1409.3777","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3777","created_at":"2026-05-18T02:39:40Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3777v2","created_at":"2026-05-18T02:39:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3777","created_at":"2026-05-18T02:39:40Z"},{"alias_kind":"pith_short_12","alias_value":"CGA6CTVVO2YV","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CGA6CTVVO2YVBSEB","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CGA6CTVV","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:34aa16bf5858915a24d568e4d19caff2362b65c15c900441a500663bd61bdd5b","target":"graph","created_at":"2026-05-18T02:39:40Z","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 consider two aspects of Marc Yor's work that have had an impact in statistical physics: firstly, his results on the windings of planar Brownian motion and their implications for the study of polymers; secondly, his theory of exponential functionals of Levy processes and its connections with disordered systems. Particular emphasis is placed on techniques leading to explicit calculations.","authors_text":"Alain Comtet, Yves Tourigny","cross_cats":["math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-09-12T15:48:14Z","title":"Explicit formulae in probability and in statistical physics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3777","kind":"arxiv","version":2},"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:f1b4a71a4035ae7ea8ed8aeeda21faf963da764fb8373b4f558cd5db280dae15","target":"record","created_at":"2026-05-18T02:39:40Z","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":"cdefb3e3accf33c2963bacfc50ccb65826dbeaa950545f4e5c4dc53e69e55c8e","cross_cats_sorted":["math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-09-12T15:48:14Z","title_canon_sha256":"d267b7eb778cf3d40d5a96983320e4c37acc964694139038525cd8072b1cc9a4"},"schema_version":"1.0","source":{"id":"1409.3777","kind":"arxiv","version":2}},"canonical_sha256":"1181e14eb576b150c881102712ee47931a81e579c5a5a3c5e5e8b4e2eab4bde8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1181e14eb576b150c881102712ee47931a81e579c5a5a3c5e5e8b4e2eab4bde8","first_computed_at":"2026-05-18T02:39:40.098019Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:40.098019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r2vQALHDqX5T7wXaxfiw34vncpiFHVxLRwuedNh6DsHw5gnXJ5ffU1KDCrhXSpVDdoGwjDoQv/Cyy74qyJm4Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:40.098806Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.3777","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1b4a71a4035ae7ea8ed8aeeda21faf963da764fb8373b4f558cd5db280dae15","sha256:34aa16bf5858915a24d568e4d19caff2362b65c15c900441a500663bd61bdd5b"],"state_sha256":"634366989b2574016dfb2788cb6961af8de25e1da686cd0c4b051ee5955bbc56"}