{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1995:2EZR2IAOKFNS6V3QYSJP5UQZTY","short_pith_number":"pith:2EZR2IAO","schema_version":"1.0","canonical_sha256":"d1331d200e515b2f5770c492fed2199e14f256d4eb1fc694278e46d4f1444f73","source":{"kind":"arxiv","id":"hep-th/9502092","version":2},"attestation_state":"computed","paper":{"title":"The Master Field for Rainbow Diagrams and Free Non-Commutative Random Variables","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"I.V.Volovich, I.Ya.Aref'eva, L. Accardi","submitted_at":"1995-02-15T05:50:54Z","abstract_excerpt":"The master field for a subclass of planar diagrams, so called rainbow diagrams, for higher dimensional large N theories is considered. An explicit representation for the master field in terms of noncommutative random variables in the modified interaction representation in the Boltzmannian Fock space is given. A natural interaction in the Boltzmannian Fock space is formulated by means of a rational function of the interaction Lagrangian instead of the ordinary exponential function in the standard Fock space."},"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":"hep-th/9502092","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1995-02-15T05:50:54Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"e944aed984a4bba68c12fe16fd375b24c75677da9ab69174d21ec5771c5f02a3","abstract_canon_sha256":"9682a85caa0bd087419c1ab4fb131c06aa699b964b2133896644126d24426a8b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:03.146236Z","signature_b64":"4sjWcVTssM+YIMQqrorYns+EPbtFt6qjO/akBhQRBeRqxdE5ZlQMc4YxzgoGVWV/cIOUGndDcTh0pxD64RpJDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1331d200e515b2f5770c492fed2199e14f256d4eb1fc694278e46d4f1444f73","last_reissued_at":"2026-05-18T01:06:03.145565Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:03.145565Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Master Field for Rainbow Diagrams and Free Non-Commutative Random Variables","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"I.V.Volovich, I.Ya.Aref'eva, L. Accardi","submitted_at":"1995-02-15T05:50:54Z","abstract_excerpt":"The master field for a subclass of planar diagrams, so called rainbow diagrams, for higher dimensional large N theories is considered. An explicit representation for the master field in terms of noncommutative random variables in the modified interaction representation in the Boltzmannian Fock space is given. A natural interaction in the Boltzmannian Fock space is formulated by means of a rational function of the interaction Lagrangian instead of the ordinary exponential function in the standard Fock space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9502092","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":"hep-th/9502092","created_at":"2026-05-18T01:06:03.145659+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9502092v2","created_at":"2026-05-18T01:06:03.145659+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9502092","created_at":"2026-05-18T01:06:03.145659+00:00"},{"alias_kind":"pith_short_12","alias_value":"2EZR2IAOKFNS","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"2EZR2IAOKFNS6V3Q","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"2EZR2IAO","created_at":"2026-05-18T12:25:47.102015+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/2EZR2IAOKFNS6V3QYSJP5UQZTY","json":"https://pith.science/pith/2EZR2IAOKFNS6V3QYSJP5UQZTY.json","graph_json":"https://pith.science/api/pith-number/2EZR2IAOKFNS6V3QYSJP5UQZTY/graph.json","events_json":"https://pith.science/api/pith-number/2EZR2IAOKFNS6V3QYSJP5UQZTY/events.json","paper":"https://pith.science/paper/2EZR2IAO"},"agent_actions":{"view_html":"https://pith.science/pith/2EZR2IAOKFNS6V3QYSJP5UQZTY","download_json":"https://pith.science/pith/2EZR2IAOKFNS6V3QYSJP5UQZTY.json","view_paper":"https://pith.science/paper/2EZR2IAO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9502092&json=true","fetch_graph":"https://pith.science/api/pith-number/2EZR2IAOKFNS6V3QYSJP5UQZTY/graph.json","fetch_events":"https://pith.science/api/pith-number/2EZR2IAOKFNS6V3QYSJP5UQZTY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2EZR2IAOKFNS6V3QYSJP5UQZTY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2EZR2IAOKFNS6V3QYSJP5UQZTY/action/storage_attestation","attest_author":"https://pith.science/pith/2EZR2IAOKFNS6V3QYSJP5UQZTY/action/author_attestation","sign_citation":"https://pith.science/pith/2EZR2IAOKFNS6V3QYSJP5UQZTY/action/citation_signature","submit_replication":"https://pith.science/pith/2EZR2IAOKFNS6V3QYSJP5UQZTY/action/replication_record"}},"created_at":"2026-05-18T01:06:03.145659+00:00","updated_at":"2026-05-18T01:06:03.145659+00:00"}