{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:URWMTMI467LMX7OKMQZWX4JPP4","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":"ee3f86d282452854e26181a1af91580608b9a423c0648e480e3c8442eeea03d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-03-02T17:45:37Z","title_canon_sha256":"885a151fd76163a3605b0758e98b14654b66e8f1debce82a5e8f6b824b7b7589"},"schema_version":"1.0","source":{"id":"1103.0499","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.0499","created_at":"2026-05-18T04:27:34Z"},{"alias_kind":"arxiv_version","alias_value":"1103.0499v1","created_at":"2026-05-18T04:27:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0499","created_at":"2026-05-18T04:27:34Z"},{"alias_kind":"pith_short_12","alias_value":"URWMTMI467LM","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"URWMTMI467LMX7OK","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"URWMTMI4","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:6c43f4193091db7ddd6fffd463ba3e64bca0ae376533fe62853aa861d1440b84","target":"graph","created_at":"2026-05-18T04:27:34Z","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":"The thermodynamic Bethe Ansatz equations arising in the context of the $AdS_5/CFT_4$ correspondence exhibit an important difference with respect to their analogues in relativistic integrable quantum field theories: their solutions (the Y functions) are not meromorphic functions of the rapidity, but live on a complicated Riemann surface with an infinite number of branch points and therefore enjoy a new kind of extended Y-system. In this paper we review the analytic properties of the TBA solutions, and present new information coming from their numerical study. An identity allowing to simplify th","authors_text":"Andrea Cavagli\\`a, Davide Fioravanti, Massimo Mattelliano, Roberto Tateo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-03-02T17:45:37Z","title":"On the $AdS_5/CFT_4$ TBA and its analytic properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0499","kind":"arxiv","version":1},"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:e2b30eb1dbcb5efad0e32baf55ea7356b467c9ee1b6b691674ac9a6f467eedf5","target":"record","created_at":"2026-05-18T04:27:34Z","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":"ee3f86d282452854e26181a1af91580608b9a423c0648e480e3c8442eeea03d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-03-02T17:45:37Z","title_canon_sha256":"885a151fd76163a3605b0758e98b14654b66e8f1debce82a5e8f6b824b7b7589"},"schema_version":"1.0","source":{"id":"1103.0499","kind":"arxiv","version":1}},"canonical_sha256":"a46cc9b11cf7d6cbfdca64336bf12f7f2676ea0b74e35e94a4b90f9ad96c1372","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a46cc9b11cf7d6cbfdca64336bf12f7f2676ea0b74e35e94a4b90f9ad96c1372","first_computed_at":"2026-05-18T04:27:34.756942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:34.756942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YXkpQD0G9JWyu1UPsBQjpLvyiFT43heEfIdZRTU1Nm8CKjWYHP55w26dS+vDebZAbAaVtL7TbntvksANwC1+Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:34.757606Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.0499","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2b30eb1dbcb5efad0e32baf55ea7356b467c9ee1b6b691674ac9a6f467eedf5","sha256:6c43f4193091db7ddd6fffd463ba3e64bca0ae376533fe62853aa861d1440b84"],"state_sha256":"06c80701badd429ac42c1424522d059fc20bb2617010baec395a114ceb0657fd"}