{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:5AC5J4L5NH5CXXSXG5WDTGWTID","short_pith_number":"pith:5AC5J4L5","schema_version":"1.0","canonical_sha256":"e805d4f17d69fa2bde57376c399ad340def59543677dd63e480017f201b68497","source":{"kind":"arxiv","id":"1409.7793","version":2},"attestation_state":"computed","paper":{"title":"Free energies and fluctuations for the Unitary Brownian Motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"math.PR","authors_text":"Antoine Dahlqvist","submitted_at":"2014-09-27T10:54:08Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1409.7793","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-27T10:54:08Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"427efec151bc2aaafd0c0ff684e768a2a9092ee1c0aadc10d32984b6df1fbe26","abstract_canon_sha256":"f76a11e890639c44a5747671db83f710171c3b09d5de2b59a885ee0a704e9bf3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:52.529770Z","signature_b64":"o/9V+AnCLwTYVrMiuAG9TqWye6TO+jtEN62kIkbawlAQSzkdguk3dW5zvLLbEogJDt/I7eVq5gfjADbOqcrgCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e805d4f17d69fa2bde57376c399ad340def59543677dd63e480017f201b68497","last_reissued_at":"2026-05-18T01:01:52.529098Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:52.529098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Free energies and fluctuations for the Unitary Brownian Motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"math.PR","authors_text":"Antoine Dahlqvist","submitted_at":"2014-09-27T10:54:08Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7793","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1409.7793","created_at":"2026-05-18T01:01:52.529208+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.7793v2","created_at":"2026-05-18T01:01:52.529208+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7793","created_at":"2026-05-18T01:01:52.529208+00:00"},{"alias_kind":"pith_short_12","alias_value":"5AC5J4L5NH5C","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"5AC5J4L5NH5CXXSX","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"5AC5J4L5","created_at":"2026-05-18T12:28:14.216126+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5AC5J4L5NH5CXXSXG5WDTGWTID","json":"https://pith.science/pith/5AC5J4L5NH5CXXSXG5WDTGWTID.json","graph_json":"https://pith.science/api/pith-number/5AC5J4L5NH5CXXSXG5WDTGWTID/graph.json","events_json":"https://pith.science/api/pith-number/5AC5J4L5NH5CXXSXG5WDTGWTID/events.json","paper":"https://pith.science/paper/5AC5J4L5"},"agent_actions":{"view_html":"https://pith.science/pith/5AC5J4L5NH5CXXSXG5WDTGWTID","download_json":"https://pith.science/pith/5AC5J4L5NH5CXXSXG5WDTGWTID.json","view_paper":"https://pith.science/paper/5AC5J4L5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.7793&json=true","fetch_graph":"https://pith.science/api/pith-number/5AC5J4L5NH5CXXSXG5WDTGWTID/graph.json","fetch_events":"https://pith.science/api/pith-number/5AC5J4L5NH5CXXSXG5WDTGWTID/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5AC5J4L5NH5CXXSXG5WDTGWTID/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5AC5J4L5NH5CXXSXG5WDTGWTID/action/storage_attestation","attest_author":"https://pith.science/pith/5AC5J4L5NH5CXXSXG5WDTGWTID/action/author_attestation","sign_citation":"https://pith.science/pith/5AC5J4L5NH5CXXSXG5WDTGWTID/action/citation_signature","submit_replication":"https://pith.science/pith/5AC5J4L5NH5CXXSXG5WDTGWTID/action/replication_record"}},"created_at":"2026-05-18T01:01:52.529208+00:00","updated_at":"2026-05-18T01:01:52.529208+00:00"}