{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3OKW7SLBABMHYD2F7FK7GGQX33","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":"03b40855d84507ea96b97a064c851c9683f1e55762863325f58ddddd08f6f085","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-23T17:25:43Z","title_canon_sha256":"87bfebfe690035a718051f2fc27d51779adc0ed0eec712e4b7cf918f30953bda"},"schema_version":"1.0","source":{"id":"1009.4662","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4662","created_at":"2026-05-18T04:31:22Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4662v4","created_at":"2026-05-18T04:31:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4662","created_at":"2026-05-18T04:31:22Z"},{"alias_kind":"pith_short_12","alias_value":"3OKW7SLBABMH","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3OKW7SLBABMHYD2F","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3OKW7SLB","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:e03ebd7bb985e696a649b9b966d5e9ca05dee45b64eacd6ba3568e1c86c7e376","target":"graph","created_at":"2026-05-18T04:31:22Z","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 consider expectation values of local operators in (continuum) integrable models in a situation when the mean value is calculated in a single Bethe state with a large number of particles. We develop a form factor expansion for the thermodynamic limit of the mean value, which applies whenever the distribution of Bethe roots is given by smooth density functions. We present three applications of our general result: i) In the framework of integrable Quantum Field Theory (IQFT) we present a derivation of the LeClair-Mussardo formula for finite temperature one-point functions. We also extend the r","authors_text":"B. Pozsgay","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-23T17:25:43Z","title":"Mean values of local operators in highly excited Bethe states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4662","kind":"arxiv","version":4},"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:b49a62b8b8e9887eb9da39f08e9e1f07b9b0d873215e82b2e35d9a08a7c68e07","target":"record","created_at":"2026-05-18T04:31:22Z","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":"03b40855d84507ea96b97a064c851c9683f1e55762863325f58ddddd08f6f085","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-23T17:25:43Z","title_canon_sha256":"87bfebfe690035a718051f2fc27d51779adc0ed0eec712e4b7cf918f30953bda"},"schema_version":"1.0","source":{"id":"1009.4662","kind":"arxiv","version":4}},"canonical_sha256":"db956fc96100587c0f45f955f31a17deceb06c414a379a546a3026df1d9e321c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db956fc96100587c0f45f955f31a17deceb06c414a379a546a3026df1d9e321c","first_computed_at":"2026-05-18T04:31:22.268132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:22.268132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jP1bQ626OtzV0DUlXrOxNtGdDmuuEblwvZIHtfbm8YTB5PmbdKo1MwU4gXK28iwi4iismbAK9Xcd+CXUEnlyAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:22.268777Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.4662","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b49a62b8b8e9887eb9da39f08e9e1f07b9b0d873215e82b2e35d9a08a7c68e07","sha256:e03ebd7bb985e696a649b9b966d5e9ca05dee45b64eacd6ba3568e1c86c7e376"],"state_sha256":"a90dd02a531c481a60c83f89672ed00b61b52c3f4ffd6cb98086b23bffc569bb"}