{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:C2UKRYKFCMAQDLRRR7YSLD6QKJ","short_pith_number":"pith:C2UKRYKF","schema_version":"1.0","canonical_sha256":"16a8a8e145130101ae318ff1258fd0527bba89b001eb50e4f98485f55b33be16","source":{"kind":"arxiv","id":"1107.2370","version":3},"attestation_state":"computed","paper":{"title":"Integral Equation for CFT/String Duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alexander Migdal","submitted_at":"2011-07-12T18:53:13Z","abstract_excerpt":"We reinterpret and extend some old work on CFT/string duality. We consider some asymptotically conformal field theory in large N limit, with conformal symmetry broken by VEV's of infinite number of operators. Assuming that this theory confines (i.e. is dual to infinite number of free composite particles) we derive explicit equation for the mass spectrum operator Q of the theory, relating this operator to terms OPE expansion of CFT. Under some general assumptions about growth of OPE coefficients (less than double factorial growth) the resulting expansion for the mass spectrum is convergent. Thi"},"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":"1107.2370","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-12T18:53:13Z","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"title_canon_sha256":"a90f9184f8e25b236dafacf2189ed0034677d08949651b97f4b71a32c1389f94","abstract_canon_sha256":"9e6b66c03ce477ed76dcf2e5bf19f6c282d6b0fc54b9754e563b5905f2231eb7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:02.215099Z","signature_b64":"I+euNqsPkxsNC/HjCdnd4Pg1u/ZQnOrfmpvxSVBZVLQLlPz2iFRa9UiYkfkMH1vgtM5GkVdXlrIaZt0dnJSCCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16a8a8e145130101ae318ff1258fd0527bba89b001eb50e4f98485f55b33be16","last_reissued_at":"2026-05-18T04:17:02.214464Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:02.214464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integral Equation for CFT/String Duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alexander Migdal","submitted_at":"2011-07-12T18:53:13Z","abstract_excerpt":"We reinterpret and extend some old work on CFT/string duality. We consider some asymptotically conformal field theory in large N limit, with conformal symmetry broken by VEV's of infinite number of operators. Assuming that this theory confines (i.e. is dual to infinite number of free composite particles) we derive explicit equation for the mass spectrum operator Q of the theory, relating this operator to terms OPE expansion of CFT. Under some general assumptions about growth of OPE coefficients (less than double factorial growth) the resulting expansion for the mass spectrum is convergent. Thi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2370","kind":"arxiv","version":3},"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":"1107.2370","created_at":"2026-05-18T04:17:02.214585+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.2370v3","created_at":"2026-05-18T04:17:02.214585+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2370","created_at":"2026-05-18T04:17:02.214585+00:00"},{"alias_kind":"pith_short_12","alias_value":"C2UKRYKFCMAQ","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"C2UKRYKFCMAQDLRR","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"C2UKRYKF","created_at":"2026-05-18T12:26:24.575870+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/C2UKRYKFCMAQDLRRR7YSLD6QKJ","json":"https://pith.science/pith/C2UKRYKFCMAQDLRRR7YSLD6QKJ.json","graph_json":"https://pith.science/api/pith-number/C2UKRYKFCMAQDLRRR7YSLD6QKJ/graph.json","events_json":"https://pith.science/api/pith-number/C2UKRYKFCMAQDLRRR7YSLD6QKJ/events.json","paper":"https://pith.science/paper/C2UKRYKF"},"agent_actions":{"view_html":"https://pith.science/pith/C2UKRYKFCMAQDLRRR7YSLD6QKJ","download_json":"https://pith.science/pith/C2UKRYKFCMAQDLRRR7YSLD6QKJ.json","view_paper":"https://pith.science/paper/C2UKRYKF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.2370&json=true","fetch_graph":"https://pith.science/api/pith-number/C2UKRYKFCMAQDLRRR7YSLD6QKJ/graph.json","fetch_events":"https://pith.science/api/pith-number/C2UKRYKFCMAQDLRRR7YSLD6QKJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C2UKRYKFCMAQDLRRR7YSLD6QKJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C2UKRYKFCMAQDLRRR7YSLD6QKJ/action/storage_attestation","attest_author":"https://pith.science/pith/C2UKRYKFCMAQDLRRR7YSLD6QKJ/action/author_attestation","sign_citation":"https://pith.science/pith/C2UKRYKFCMAQDLRRR7YSLD6QKJ/action/citation_signature","submit_replication":"https://pith.science/pith/C2UKRYKFCMAQDLRRR7YSLD6QKJ/action/replication_record"}},"created_at":"2026-05-18T04:17:02.214585+00:00","updated_at":"2026-05-18T04:17:02.214585+00:00"}