{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:WRX7L2YM5E7BUJ7NFM4JDWQRBJ","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":"edd2fa96e014cfd0442928144c341f87c68a24e2e384a956f9bcd51603d07252","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"","primary_cat":"hep-th","submitted_at":"2004-11-09T20:28:11Z","title_canon_sha256":"6865d500f846011713cce9953c9dee731cdff68f69742d605974c9b10fdc21e4"},"schema_version":"1.0","source":{"id":"hep-th/0411094","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0411094","created_at":"2026-05-18T04:28:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0411094v2","created_at":"2026-05-18T04:28:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0411094","created_at":"2026-05-18T04:28:56Z"},{"alias_kind":"pith_short_12","alias_value":"WRX7L2YM5E7B","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"WRX7L2YM5E7BUJ7N","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"WRX7L2YM","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:56f8ee77a376c80ec0e3b107cbc748608e2b9699d5da5f79464bff678decf77e","target":"graph","created_at":"2026-05-18T04:28:56Z","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 study the ground state eigenvalues of Baxter's Q-operator for the eight-vertex model in a special case when it describes the off-critical deformation of the $\\Delta=-1/2$ six-vertex model. We show that these eigenvalues satisfy a non-stationary Schrodinger equation with the time-dependent potential given by the Weierstrass elliptic P-function where the modular parameter $\\tau$ plays the role of (imaginary) time. In the scaling limit the equation transforms into a ``non-stationary Mathieu equation'' for the vacuum eigenvalues of the Q-operators in the finite-volume massive sine-Gordon model ","authors_text":"Vladimir V. Bazhanov, Vladimir V. Mangazeev","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-11-09T20:28:11Z","title":"Eight-vertex model and non-stationary Lame equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0411094","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":"sha256:4dfe4ee8c0d5e077b19a1b43de07721e4754bdb695a69cb4ade8100a745ae54c","target":"record","created_at":"2026-05-18T04:28:56Z","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":"edd2fa96e014cfd0442928144c341f87c68a24e2e384a956f9bcd51603d07252","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"","primary_cat":"hep-th","submitted_at":"2004-11-09T20:28:11Z","title_canon_sha256":"6865d500f846011713cce9953c9dee731cdff68f69742d605974c9b10fdc21e4"},"schema_version":"1.0","source":{"id":"hep-th/0411094","kind":"arxiv","version":2}},"canonical_sha256":"b46ff5eb0ce93e1a27ed2b3891da110a489404dd8adc0fd463755dc75bebc3d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b46ff5eb0ce93e1a27ed2b3891da110a489404dd8adc0fd463755dc75bebc3d2","first_computed_at":"2026-05-18T04:28:56.999499Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:56.999499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7SSbXo681sdVo2lfXg4F2kXAmEQpNkiissBYo8PusVqMQDMAloyP/bDvzmopXEhwh6ktiOt22ihzWKeULdYiAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:56.999925Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0411094","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4dfe4ee8c0d5e077b19a1b43de07721e4754bdb695a69cb4ade8100a745ae54c","sha256:56f8ee77a376c80ec0e3b107cbc748608e2b9699d5da5f79464bff678decf77e"],"state_sha256":"748931ab2cc8c39eec4bf6e6eb3d50ce7545eac8dbfe7886159b63030a0b15e2"}