{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:Q4ZIVSWQSMFADL6HGHPNROOQSQ","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":"9cb514d1d6d7ea10afb2c5405803fbe7517b6788a5f67a4faeac6ef1550abce5","cross_cats_sorted":["hep-th","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-30T11:42:33Z","title_canon_sha256":"f34a7672d7d4656f74955c5adb3279a5ea21427978bd7b9cbb964e646538e72d"},"schema_version":"1.0","source":{"id":"1307.0198","kind":"arxiv","version":8}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.0198","created_at":"2026-05-18T01:25:31Z"},{"alias_kind":"arxiv_version","alias_value":"1307.0198v8","created_at":"2026-05-18T01:25:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.0198","created_at":"2026-05-18T01:25:31Z"},{"alias_kind":"pith_short_12","alias_value":"Q4ZIVSWQSMFA","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"Q4ZIVSWQSMFADL6H","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"Q4ZIVSWQ","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:25f93d6e27c6a01503b85e61ee2dd68e6b7b97bb5de91cc3c894cdeab4ef1411","target":"graph","created_at":"2026-05-18T01:25:31Z","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 twenty-one-vertex model, the spin $1$ analogue of the eight-vertex model is considered on the basis of free field representations of vertex operators in the $2\\times 2$-fold fusion SOS model and vertex-face transformation. The tail operators, which translate corner transfer matrices of the twenty-one-vertex model into those of the fusion SOS model, are constructed by using free bosons and fermions for both diagonal and off-diagonal matrix elements with respect to the ground state sectors. Form factors of any local operators are therefore obtained in terms of multiple integral formulae, in ","authors_text":"Yas-Hiro Quano","cross_cats":["hep-th","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-30T11:42:33Z","title":"Form factors of spin 1 analogue of the eight-vertex model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.0198","kind":"arxiv","version":8},"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:d2deba30aa1095c95320b1bc821e9aba57408249895c49ee81d007db8c695e9b","target":"record","created_at":"2026-05-18T01:25:31Z","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":"9cb514d1d6d7ea10afb2c5405803fbe7517b6788a5f67a4faeac6ef1550abce5","cross_cats_sorted":["hep-th","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-30T11:42:33Z","title_canon_sha256":"f34a7672d7d4656f74955c5adb3279a5ea21427978bd7b9cbb964e646538e72d"},"schema_version":"1.0","source":{"id":"1307.0198","kind":"arxiv","version":8}},"canonical_sha256":"87328acad0930a01afc731ded8b9d0941730ce1e30d76e92765453375c75a649","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87328acad0930a01afc731ded8b9d0941730ce1e30d76e92765453375c75a649","first_computed_at":"2026-05-18T01:25:31.856384Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:31.856384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rtjGjc+LzGuP38MX6GKsTuRwZGlCErbB8M2kwnrazOK7z9jPPcBymGh80vq0UrdknBBcWag3Hqkw4OLNIzKOBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:31.857252Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.0198","source_kind":"arxiv","source_version":8}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2deba30aa1095c95320b1bc821e9aba57408249895c49ee81d007db8c695e9b","sha256:25f93d6e27c6a01503b85e61ee2dd68e6b7b97bb5de91cc3c894cdeab4ef1411"],"state_sha256":"95010c590f69f49e65202548e6602e8a04ff328fff1c08d1d48ecb2c276aa6b6"}