{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:6V5ZKLGE4ZOJG77PHKFYVR3EY4","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":"e28b4b1f4670d505740e4cd661de51841212ef03d428a94bba1c88ae620c8497","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2025-05-13T19:43:33Z","title_canon_sha256":"39a1082400960bae9982e0d7182808f3114cfd71bd4691749de94092a0ee8c3e"},"schema_version":"1.0","source":{"id":"2505.08924","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.08924","created_at":"2026-07-05T11:02:47Z"},{"alias_kind":"arxiv_version","alias_value":"2505.08924v1","created_at":"2026-07-05T11:02:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.08924","created_at":"2026-07-05T11:02:47Z"},{"alias_kind":"pith_short_12","alias_value":"6V5ZKLGE4ZOJ","created_at":"2026-07-05T11:02:47Z"},{"alias_kind":"pith_short_16","alias_value":"6V5ZKLGE4ZOJG77P","created_at":"2026-07-05T11:02:47Z"},{"alias_kind":"pith_short_8","alias_value":"6V5ZKLGE","created_at":"2026-07-05T11:02:47Z"}],"graph_snapshots":[{"event_id":"sha256:9562d2aa29c50974e82a4248cddeababb756ef5f3261a6134ff152b1592c7f19","target":"graph","created_at":"2026-07-05T11:02:47Z","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/2505.08924/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the integrability of the quantized six-vertex model with four parameters on a torus. It is a three-dimensional integrable lattice model in which a layer transfer matrix, depending on two spectral parameters associated with the homology cycles of the torus, can be defined not only on the square lattice but also on more general graphs. For a class of graphs that we call admissible, we establish the commutativity of the layer transfer matrices by introducing four types of tetrahedron equations and two types of inversion relations. Expanding in the spectral parameters yields a family of c","authors_text":"Atsuo Kuniba, Junya Yagi, Rei Inoue, Yuji Terashima","cross_cats":["hep-th","math-ph","math.GT","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2025-05-13T19:43:33Z","title":"Quantized six-vertex model on a torus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.08924","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:d4e4ce575fb1df9e33a6a5cee16295a1cdb3be02fb31ea58d3a08118f7bb8f41","target":"record","created_at":"2026-07-05T11:02:47Z","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":"e28b4b1f4670d505740e4cd661de51841212ef03d428a94bba1c88ae620c8497","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2025-05-13T19:43:33Z","title_canon_sha256":"39a1082400960bae9982e0d7182808f3114cfd71bd4691749de94092a0ee8c3e"},"schema_version":"1.0","source":{"id":"2505.08924","kind":"arxiv","version":1}},"canonical_sha256":"f57b952cc4e65c937fef3a8b8ac764c7108b58e51744e7c215bbf55c3959d195","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f57b952cc4e65c937fef3a8b8ac764c7108b58e51744e7c215bbf55c3959d195","first_computed_at":"2026-07-05T11:02:47.274979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:02:47.274979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nclPzzKwwsd02PcRm0+Ei33J95Y/ulHQ77Sl+Cg2RSkh6uisBiBDQM95HTAaNPQA4Si9mOqJSGFvglzG3kzcCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:02:47.275546Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.08924","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4e4ce575fb1df9e33a6a5cee16295a1cdb3be02fb31ea58d3a08118f7bb8f41","sha256:9562d2aa29c50974e82a4248cddeababb756ef5f3261a6134ff152b1592c7f19"],"state_sha256":"a88b2e6b3ed14dfe087a662e49cb5d9a27a5346866212ebd7cbbcc951f84502e"}