{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:Z4VN7SS4DDE7HDGG6KQHT4OUFV","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":"be4300c69c81fa90310cc53409bcd5d654ba083c65432e264960eb35467b6f62","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1994-02-15T12:58:16Z","title_canon_sha256":"a02466f281343abfc19a74f838be53e2a0c6e7a7040caa05afdf62c5b629c421"},"schema_version":"1.0","source":{"id":"hep-th/9402084","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9402084","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9402084v1","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9402084","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"pith_short_12","alias_value":"Z4VN7SS4DDE7","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"pith_short_16","alias_value":"Z4VN7SS4DDE7HDGG","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"pith_short_8","alias_value":"Z4VN7SS4","created_at":"2026-07-04T15:57:41Z"}],"graph_snapshots":[{"event_id":"sha256:ef9468a7b2ccb0edfc2c91069355ed119813b1a37df3593b4934d9cdc74087a9","target":"graph","created_at":"2026-07-04T15:57:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/9402084/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An exact expression for the mass-gap, the ratio of the physical particle mass to the $\\Lambda$-parameter, is found for the principal chiral sigma models associated to all the classical Lie algebras. The calculation is based on a comparison of the free-energy in the presence of a source coupling to a conserved charge of the theory computed in two ways: via the thermodynamic Bethe Ansatz from the exact scattering matrix and directly in perturbation theory. The calculation provides a non-trivial test of the form of the exact scattering matrix.","authors_text":"T.J. Hollowood","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1994-02-15T12:58:16Z","title":"The exact mass-gaps of the principal chiral models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9402084","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":"sha256:06077db1d6648d1b0e1faf6757daf65bd7dad0c196b1876395e04d700134acf6","target":"record","created_at":"2026-07-04T15:57:41Z","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":"be4300c69c81fa90310cc53409bcd5d654ba083c65432e264960eb35467b6f62","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1994-02-15T12:58:16Z","title_canon_sha256":"a02466f281343abfc19a74f838be53e2a0c6e7a7040caa05afdf62c5b629c421"},"schema_version":"1.0","source":{"id":"hep-th/9402084","kind":"arxiv","version":1}},"canonical_sha256":"cf2adfca5c18c9f38cc6f2a079f1d42d6442e7b6581e3077d557850ad0c1ee14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf2adfca5c18c9f38cc6f2a079f1d42d6442e7b6581e3077d557850ad0c1ee14","first_computed_at":"2026-07-04T15:57:41.409974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:57:41.409974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JVNXhadhUH8t1BdtiAM5EoPPISxNTssKZ334KCtVBJHmS7Ok3NiR0wDYdXFiMWLSEWa2FDxpH7PY7XCC9yu8Dw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:57:41.410304Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9402084","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06077db1d6648d1b0e1faf6757daf65bd7dad0c196b1876395e04d700134acf6","sha256:ef9468a7b2ccb0edfc2c91069355ed119813b1a37df3593b4934d9cdc74087a9"],"state_sha256":"3987ac037db8695ae6ca7858163fe18c87f4dbac63e941071ecdf3bc7f28c4eb"}