{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5AC5J4L5NH5CXXSXG5WDTGWTID","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":"f76a11e890639c44a5747671db83f710171c3b09d5de2b59a885ee0a704e9bf3","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-27T10:54:08Z","title_canon_sha256":"427efec151bc2aaafd0c0ff684e768a2a9092ee1c0aadc10d32984b6df1fbe26"},"schema_version":"1.0","source":{"id":"1409.7793","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.7793","created_at":"2026-05-18T01:01:52Z"},{"alias_kind":"arxiv_version","alias_value":"1409.7793v2","created_at":"2026-05-18T01:01:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7793","created_at":"2026-05-18T01:01:52Z"},{"alias_kind":"pith_short_12","alias_value":"5AC5J4L5NH5C","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5AC5J4L5NH5CXXSX","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5AC5J4L5","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:4fca79d3ac9a98443b48a31ef4da310f4fec6063550f6deb699787d0e38caca6","target":"graph","created_at":"2026-05-18T01:01:52Z","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 show that the Laplace transforms of traces of words in independant unitary Brownian motions converge towards an analytic function on a non trivial disc. This results allow to study asymptotics of Wilson loops under the unitary Yang-Mills measure on the plane. The limiting objects obtained are shown to be characterized by equations analog to Schwinger-Dyson's ones, named here after Makeenko and Migdal.","authors_text":"Antoine Dahlqvist","cross_cats":["math-ph","math.CO","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-27T10:54:08Z","title":"Free energies and fluctuations for the Unitary Brownian Motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7793","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":"sha256:7a68f9ad92423c0984214d4ab2423a27a32914b8dd4ec3eda186c94e0f9d1a68","target":"record","created_at":"2026-05-18T01:01:52Z","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":"f76a11e890639c44a5747671db83f710171c3b09d5de2b59a885ee0a704e9bf3","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-27T10:54:08Z","title_canon_sha256":"427efec151bc2aaafd0c0ff684e768a2a9092ee1c0aadc10d32984b6df1fbe26"},"schema_version":"1.0","source":{"id":"1409.7793","kind":"arxiv","version":2}},"canonical_sha256":"e805d4f17d69fa2bde57376c399ad340def59543677dd63e480017f201b68497","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e805d4f17d69fa2bde57376c399ad340def59543677dd63e480017f201b68497","first_computed_at":"2026-05-18T01:01:52.529098Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:52.529098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o/9V+AnCLwTYVrMiuAG9TqWye6TO+jtEN62kIkbawlAQSzkdguk3dW5zvLLbEogJDt/I7eVq5gfjADbOqcrgCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:52.529770Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.7793","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a68f9ad92423c0984214d4ab2423a27a32914b8dd4ec3eda186c94e0f9d1a68","sha256:4fca79d3ac9a98443b48a31ef4da310f4fec6063550f6deb699787d0e38caca6"],"state_sha256":"c6e4e08d758d16eb63743a47d27dbfc8cc34f14415501b888a07cb1a0ab78a9e"}