{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RQF2ESRJYM5MEOMGPXCGKY2XWF","short_pith_number":"pith:RQF2ESRJ","canonical_record":{"source":{"id":"1410.6749","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-10-24T17:27:13Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"f5f9aba0d4c940db7a655f2e4bba9050a43939d1f38814dfa2123d53429a5b65","abstract_canon_sha256":"598841db36b7d34610d7724df01d03d632712aef7c5dca0788536446728ac7b5"},"schema_version":"1.0"},"canonical_sha256":"8c0ba24a29c33ac239867dc4656357b153589b286f59b33338babad4c5698690","source":{"kind":"arxiv","id":"1410.6749","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.6749","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"arxiv_version","alias_value":"1410.6749v1","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.6749","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"pith_short_12","alias_value":"RQF2ESRJYM5M","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RQF2ESRJYM5MEOMG","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RQF2ESRJ","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RQF2ESRJYM5MEOMGPXCGKY2XWF","target":"record","payload":{"canonical_record":{"source":{"id":"1410.6749","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-10-24T17:27:13Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"f5f9aba0d4c940db7a655f2e4bba9050a43939d1f38814dfa2123d53429a5b65","abstract_canon_sha256":"598841db36b7d34610d7724df01d03d632712aef7c5dca0788536446728ac7b5"},"schema_version":"1.0"},"canonical_sha256":"8c0ba24a29c33ac239867dc4656357b153589b286f59b33338babad4c5698690","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:10.246886Z","signature_b64":"DyPiSDcPmgB+BKVxWPCLHh8CSajTA/JyUkFwDX79h44wnv+eOBD38WAWao9FiROzq0WiPWfhpNPvUCvmLw4tBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c0ba24a29c33ac239867dc4656357b153589b286f59b33338babad4c5698690","last_reissued_at":"2026-05-18T02:04:10.246330Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:10.246330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.6749","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":"2026-05-18T02:04:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DKQOCnUSodYMoP9ecumAGalsOTk+568C5dzdp7PkDzXJasT/7V2UQO2y7E69/SvfWCUOl2jeQaGnKZkOaX/mAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:56:43.824566Z"},"content_sha256":"0945f0e0a2ff9e1fd3c6b0f70b99306324efcbd4b47ca4e1a1b6b345081eceba","schema_version":"1.0","event_id":"sha256:0945f0e0a2ff9e1fd3c6b0f70b99306324efcbd4b47ca4e1a1b6b345081eceba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RQF2ESRJYM5MEOMGPXCGKY2XWF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Integrable Nineteen Vertex Model Lying on a Hypersurface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"M.J. Martins","submitted_at":"2014-10-24T17:27:13Z","abstract_excerpt":"We have found a family of solvable nineteen vertex model with statistical configurations invariant by the time reversal symmetry within a systematic study of the respective Yang-Baxter relation. The Boltzmann weights sit on a degree seven algebraic threefold which is shown birationally equivalent to the three-dimensional projective space. This permits to write parameterized expressions for both the transition operator and the $\\mathrm{R}$-matrix depending on three independent affine spectral parameters. The Hamiltonian limit tells us that the azimuthal magnetic field term is connected with the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.6749","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":"2026-05-18T02:04:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ld6zw+yqCaFDufoP44MRLJW029QHqyp56cuUjG0NfgkzhcPFTmXgHTY9NOuMV646Xdk/OISdt+/MaeD0KsGVCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:56:43.825259Z"},"content_sha256":"36e9b82267b8e47666ca280d062364665b57fcf9f4491474edf557bcab8f2e24","schema_version":"1.0","event_id":"sha256:36e9b82267b8e47666ca280d062364665b57fcf9f4491474edf557bcab8f2e24"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RQF2ESRJYM5MEOMGPXCGKY2XWF/bundle.json","state_url":"https://pith.science/pith/RQF2ESRJYM5MEOMGPXCGKY2XWF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RQF2ESRJYM5MEOMGPXCGKY2XWF/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":"2026-06-09T04:56:43Z","links":{"resolver":"https://pith.science/pith/RQF2ESRJYM5MEOMGPXCGKY2XWF","bundle":"https://pith.science/pith/RQF2ESRJYM5MEOMGPXCGKY2XWF/bundle.json","state":"https://pith.science/pith/RQF2ESRJYM5MEOMGPXCGKY2XWF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RQF2ESRJYM5MEOMGPXCGKY2XWF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RQF2ESRJYM5MEOMGPXCGKY2XWF","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":"598841db36b7d34610d7724df01d03d632712aef7c5dca0788536446728ac7b5","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-10-24T17:27:13Z","title_canon_sha256":"f5f9aba0d4c940db7a655f2e4bba9050a43939d1f38814dfa2123d53429a5b65"},"schema_version":"1.0","source":{"id":"1410.6749","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.6749","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"arxiv_version","alias_value":"1410.6749v1","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.6749","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"pith_short_12","alias_value":"RQF2ESRJYM5M","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RQF2ESRJYM5MEOMG","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RQF2ESRJ","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:36e9b82267b8e47666ca280d062364665b57fcf9f4491474edf557bcab8f2e24","target":"graph","created_at":"2026-05-18T02:04:10Z","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 have found a family of solvable nineteen vertex model with statistical configurations invariant by the time reversal symmetry within a systematic study of the respective Yang-Baxter relation. The Boltzmann weights sit on a degree seven algebraic threefold which is shown birationally equivalent to the three-dimensional projective space. This permits to write parameterized expressions for both the transition operator and the $\\mathrm{R}$-matrix depending on three independent affine spectral parameters. The Hamiltonian limit tells us that the azimuthal magnetic field term is connected with the","authors_text":"M.J. Martins","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-10-24T17:27:13Z","title":"An Integrable Nineteen Vertex Model Lying on a Hypersurface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.6749","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":"sha256:0945f0e0a2ff9e1fd3c6b0f70b99306324efcbd4b47ca4e1a1b6b345081eceba","target":"record","created_at":"2026-05-18T02:04:10Z","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":"598841db36b7d34610d7724df01d03d632712aef7c5dca0788536446728ac7b5","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-10-24T17:27:13Z","title_canon_sha256":"f5f9aba0d4c940db7a655f2e4bba9050a43939d1f38814dfa2123d53429a5b65"},"schema_version":"1.0","source":{"id":"1410.6749","kind":"arxiv","version":1}},"canonical_sha256":"8c0ba24a29c33ac239867dc4656357b153589b286f59b33338babad4c5698690","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c0ba24a29c33ac239867dc4656357b153589b286f59b33338babad4c5698690","first_computed_at":"2026-05-18T02:04:10.246330Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:10.246330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DyPiSDcPmgB+BKVxWPCLHh8CSajTA/JyUkFwDX79h44wnv+eOBD38WAWao9FiROzq0WiPWfhpNPvUCvmLw4tBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:10.246886Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.6749","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0945f0e0a2ff9e1fd3c6b0f70b99306324efcbd4b47ca4e1a1b6b345081eceba","sha256:36e9b82267b8e47666ca280d062364665b57fcf9f4491474edf557bcab8f2e24"],"state_sha256":"a72bc62e0514cee3cda82019279fd3cb214d028e86aca90b079f984489ddb165"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LTK0nOXHvQFT/hn7zKZrZRVhy/CHhgBT8FUCO19VTWwz2U81EKDaMJ97OdCsP9RFyjzplQNBPLOObJDVRvbzCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T04:56:43.829062Z","bundle_sha256":"64a53433fe0b8d2c92c2e2f38a85763acf50b1a21ce5b17caeca095c3bf160b7"}}