{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:PRV6RKJ743CFL5LTMBI36XIYDO","short_pith_number":"pith:PRV6RKJ7","canonical_record":{"source":{"id":"1208.4339","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-21T18:53:25Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"45b2bd89e095a10de83a17852275fa09f45145b32e0ca5412d38ce65460e2922","abstract_canon_sha256":"f2a57e8a0a83644bb69ee88dfe7ff90ff4c4b57eeaf0b3a921382672f4c1461c"},"schema_version":"1.0"},"canonical_sha256":"7c6be8a93fe6c455f5736051bf5d181b8a1019e8885ac513dffe97610781bc0b","source":{"kind":"arxiv","id":"1208.4339","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4339","created_at":"2026-05-18T03:26:20Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4339v1","created_at":"2026-05-18T03:26:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4339","created_at":"2026-05-18T03:26:20Z"},{"alias_kind":"pith_short_12","alias_value":"PRV6RKJ743CF","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PRV6RKJ743CFL5LT","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PRV6RKJ7","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:PRV6RKJ743CFL5LTMBI36XIYDO","target":"record","payload":{"canonical_record":{"source":{"id":"1208.4339","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-21T18:53:25Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"45b2bd89e095a10de83a17852275fa09f45145b32e0ca5412d38ce65460e2922","abstract_canon_sha256":"f2a57e8a0a83644bb69ee88dfe7ff90ff4c4b57eeaf0b3a921382672f4c1461c"},"schema_version":"1.0"},"canonical_sha256":"7c6be8a93fe6c455f5736051bf5d181b8a1019e8885ac513dffe97610781bc0b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:20.659876Z","signature_b64":"u3LFML4cxM27+RFFS3oEEZzxSZk6FmbhLMvvoiFdgJ8nxpmsJ6flXHpmS2sCR6vbBL3DZue0JLkaoYPwoDrKDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c6be8a93fe6c455f5736051bf5d181b8a1019e8885ac513dffe97610781bc0b","last_reissued_at":"2026-05-18T03:26:20.659150Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:20.659150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.4339","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:26:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u8yspZTOvFrnEu1Unt6Wf83Tw8xQigs0I8yAIymRvgMM9m7HJPGHLk3CSwIbp7mxRM42PSz8FORGbEV+mk48Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:22:09.820975Z"},"content_sha256":"dfbad333be98575a8809ff235100b7ac901c2de0b75199b677b59b6f8ebc667a","schema_version":"1.0","event_id":"sha256:dfbad333be98575a8809ff235100b7ac901c2de0b75199b677b59b6f8ebc667a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:PRV6RKJ743CFL5LTMBI36XIYDO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the solutions of the Yang-Baxter equations with general inhomogeneous eight-vertex $R$-matrix: Relations with Zamolodchikov's tetrahedral algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. Sedrakyan, Sh. Khachatryan","submitted_at":"2012-08-21T18:53:25Z","abstract_excerpt":"We present most general one-parametric solutions of the Yang-Baxter equations (YBE) for one spectral parameter dependent $R_{ij}(u)$-matrices of the six- and eight-vertex models, where the only constraint is the particle number conservation by mod(2). A complete classification of the solutions is performed. We have obtained also two spectral parameter dependent particular solutions $R_{ij}(u,v)$ of YBE. The application of the non-homogeneous solutions to construction of Zamolodchikov's tetrahedral algebra is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4339","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:26:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g0xpqPRaa4sWWml0BkypxpNHnlL+Ux4hncON7lgve/Nrt2EynFRTreLOscoFs5DtHzqxeYKoaJnlnFd4oLNLAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:22:09.821707Z"},"content_sha256":"6663cd0b1556bde29b2651268aa36a425e5d9c97af51025d7f6e58fd56a6871f","schema_version":"1.0","event_id":"sha256:6663cd0b1556bde29b2651268aa36a425e5d9c97af51025d7f6e58fd56a6871f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PRV6RKJ743CFL5LTMBI36XIYDO/bundle.json","state_url":"https://pith.science/pith/PRV6RKJ743CFL5LTMBI36XIYDO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PRV6RKJ743CFL5LTMBI36XIYDO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T04:22:09Z","links":{"resolver":"https://pith.science/pith/PRV6RKJ743CFL5LTMBI36XIYDO","bundle":"https://pith.science/pith/PRV6RKJ743CFL5LTMBI36XIYDO/bundle.json","state":"https://pith.science/pith/PRV6RKJ743CFL5LTMBI36XIYDO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PRV6RKJ743CFL5LTMBI36XIYDO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PRV6RKJ743CFL5LTMBI36XIYDO","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":"f2a57e8a0a83644bb69ee88dfe7ff90ff4c4b57eeaf0b3a921382672f4c1461c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-21T18:53:25Z","title_canon_sha256":"45b2bd89e095a10de83a17852275fa09f45145b32e0ca5412d38ce65460e2922"},"schema_version":"1.0","source":{"id":"1208.4339","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4339","created_at":"2026-05-18T03:26:20Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4339v1","created_at":"2026-05-18T03:26:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4339","created_at":"2026-05-18T03:26:20Z"},{"alias_kind":"pith_short_12","alias_value":"PRV6RKJ743CF","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PRV6RKJ743CFL5LT","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PRV6RKJ7","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:6663cd0b1556bde29b2651268aa36a425e5d9c97af51025d7f6e58fd56a6871f","target":"graph","created_at":"2026-05-18T03:26:20Z","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 present most general one-parametric solutions of the Yang-Baxter equations (YBE) for one spectral parameter dependent $R_{ij}(u)$-matrices of the six- and eight-vertex models, where the only constraint is the particle number conservation by mod(2). A complete classification of the solutions is performed. We have obtained also two spectral parameter dependent particular solutions $R_{ij}(u,v)$ of YBE. The application of the non-homogeneous solutions to construction of Zamolodchikov's tetrahedral algebra is discussed.","authors_text":"A. Sedrakyan, Sh. Khachatryan","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-21T18:53:25Z","title":"On the solutions of the Yang-Baxter equations with general inhomogeneous eight-vertex $R$-matrix: Relations with Zamolodchikov's tetrahedral algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4339","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:dfbad333be98575a8809ff235100b7ac901c2de0b75199b677b59b6f8ebc667a","target":"record","created_at":"2026-05-18T03:26:20Z","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":"f2a57e8a0a83644bb69ee88dfe7ff90ff4c4b57eeaf0b3a921382672f4c1461c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-21T18:53:25Z","title_canon_sha256":"45b2bd89e095a10de83a17852275fa09f45145b32e0ca5412d38ce65460e2922"},"schema_version":"1.0","source":{"id":"1208.4339","kind":"arxiv","version":1}},"canonical_sha256":"7c6be8a93fe6c455f5736051bf5d181b8a1019e8885ac513dffe97610781bc0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c6be8a93fe6c455f5736051bf5d181b8a1019e8885ac513dffe97610781bc0b","first_computed_at":"2026-05-18T03:26:20.659150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:20.659150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u3LFML4cxM27+RFFS3oEEZzxSZk6FmbhLMvvoiFdgJ8nxpmsJ6flXHpmS2sCR6vbBL3DZue0JLkaoYPwoDrKDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:20.659876Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.4339","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfbad333be98575a8809ff235100b7ac901c2de0b75199b677b59b6f8ebc667a","sha256:6663cd0b1556bde29b2651268aa36a425e5d9c97af51025d7f6e58fd56a6871f"],"state_sha256":"aa86fc27b9b35459d68dee57b8ebac530d5154b59fa82260e0a466d0ea0b7cc6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ndklqCcucXpLSpad/rmN0UfL7dLvyN6RYdCTYCUVT6uIViedV1+Gqe+jG52VXnl/dIbecM+zAAH/yQ90wesMCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T04:22:09.824898Z","bundle_sha256":"a886b3dc8077063c9a338b3f7ffe882428f7693eb74ab5720e93c8b9440ab364"}}