{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WBFFA23OXG4CJNDWGQ237ROLRI","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":"8d3e36c7d68238c1d739bbe39c5e46c0b08599606514822766ff8b1cee1a94f7","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-20T19:00:37Z","title_canon_sha256":"e487b6825bd087fb5b382f9626e792b2ed3c9409651059ce9ba70e9f486db00d"},"schema_version":"1.0","source":{"id":"1202.4420","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4420","created_at":"2026-05-18T03:52:38Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4420v2","created_at":"2026-05-18T03:52:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4420","created_at":"2026-05-18T03:52:38Z"},{"alias_kind":"pith_short_12","alias_value":"WBFFA23OXG4C","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"WBFFA23OXG4CJNDW","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"WBFFA23O","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:1eff630c89891193351c37e9d1babbdf6c054ec388deadef13dd2256b34bc527","target":"graph","created_at":"2026-05-18T03:52:38Z","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 investigate the conjectured ground state eigenvector of the 8-vertex model inhomogeneous transfer matrix on its combinatorial line, i.e., at $\\eta=\\pi/3$, where it acquires a particularly simple form. We compute the partition function of the model on an infinite cylinder with certain restrictions on the inhomogeneities, and taking the homogeneous limit, we obtain an expression for the squared norm of the ground state of the XYZ spin chain as a solution of a differential recurrence relation.","authors_text":"P. Zinn-Justin","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-20T19:00:37Z","title":"Sum rule for the eight-vertex model on its combinatorial line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4420","kind":"arxiv","version":2},"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":"sha256:4759c0fa9c7bca7df5d6a13b9a722c419c99bdfe062a356b66bfc2dac4cdba40","target":"record","created_at":"2026-05-18T03:52:38Z","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":"8d3e36c7d68238c1d739bbe39c5e46c0b08599606514822766ff8b1cee1a94f7","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-20T19:00:37Z","title_canon_sha256":"e487b6825bd087fb5b382f9626e792b2ed3c9409651059ce9ba70e9f486db00d"},"schema_version":"1.0","source":{"id":"1202.4420","kind":"arxiv","version":2}},"canonical_sha256":"b04a506b6eb9b824b4763435bfc5cb8a15668b17dcaa33a4176795b826b0d285","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b04a506b6eb9b824b4763435bfc5cb8a15668b17dcaa33a4176795b826b0d285","first_computed_at":"2026-05-18T03:52:38.494377Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:38.494377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2VNc1k7i70Yb9ZOrJw26hOLd5zbqVxWQGg3pEIz0ePe7FYfb/0evINpdH4JN8Q9xP8UiCfLsk7K+QfwdDWFACA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:38.494930Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.4420","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4759c0fa9c7bca7df5d6a13b9a722c419c99bdfe062a356b66bfc2dac4cdba40","sha256:1eff630c89891193351c37e9d1babbdf6c054ec388deadef13dd2256b34bc527"],"state_sha256":"a64f164ac3ef3846ac390dfc1aa77f0d0ff98e2c073a8986891bfb3e58d0e578"}