{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:O24TNJFUKHNDOGFCO4QWSPOV4Q","short_pith_number":"pith:O24TNJFU","canonical_record":{"source":{"id":"hep-th/0611127","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-11-11T05:44:06Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"611e5e4d0a3a0a68e19a12263c3d19ae791a5ebdc79d861fdea2f002b476f13f","abstract_canon_sha256":"325cb6780819ca9e83de47fd59effb41fc0ac9c45864a97d1412019b3bb9067e"},"schema_version":"1.0"},"canonical_sha256":"76b936a4b451da3718a27721693dd5e43f581203fb8d7107fc5ed4d7f2f5be9f","source":{"kind":"arxiv","id":"hep-th/0611127","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0611127","created_at":"2026-05-18T04:28:37Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0611127v2","created_at":"2026-05-18T04:28:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0611127","created_at":"2026-05-18T04:28:37Z"},{"alias_kind":"pith_short_12","alias_value":"O24TNJFUKHND","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"O24TNJFUKHNDOGFC","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"O24TNJFU","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:O24TNJFUKHNDOGFCO4QWSPOV4Q","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0611127","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-11-11T05:44:06Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"611e5e4d0a3a0a68e19a12263c3d19ae791a5ebdc79d861fdea2f002b476f13f","abstract_canon_sha256":"325cb6780819ca9e83de47fd59effb41fc0ac9c45864a97d1412019b3bb9067e"},"schema_version":"1.0"},"canonical_sha256":"76b936a4b451da3718a27721693dd5e43f581203fb8d7107fc5ed4d7f2f5be9f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:37.278664Z","signature_b64":"Yt/tbbjkETZ1QcN/KpG8IqZgSwrQdAQW6772/XS1MIF2jW0ziPO8eL9h5lBQlAyjeEmou+0hsqJVRk6HvbP5AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76b936a4b451da3718a27721693dd5e43f581203fb8d7107fc5ed4d7f2f5be9f","last_reissued_at":"2026-05-18T04:28:37.278226Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:37.278226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0611127","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:28:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Gq49Dr715pH3rjCzxOIfA9bFVnEbeUR8LQvbrhnYNbgUQYyKt35zoktsOHKEMf73eChHGP0K/XdTnBOK9zhAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T07:56:29.573035Z"},"content_sha256":"7738d7fca0feb999ccacd7d0990361db9075474b1232d3fb72c954246b00f415","schema_version":"1.0","event_id":"sha256:7738d7fca0feb999ccacd7d0990361db9075474b1232d3fb72c954246b00f415"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:O24TNJFUKHNDOGFCO4QWSPOV4Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The algebraic Bethe ansatz for open vertex models","license":"","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Guang-Liang Li, Kang-jie Shi","submitted_at":"2006-11-11T05:44:06Z","abstract_excerpt":"We present a unified algebraic Bethe ansatz for open vertex models which are associated with the non-exceptional\n  $A^{(2)}_{2n},A^{(2)}_{2n-1},B^{(1)}_n,C^{(1)}_n,D^{(1)}_{n}$ Lie algebras. By the method, we solve these models with the trivial K matrix and find that our results agree with that obtained by analytical\n  Bethe ansatz. We also solve the $B^{(1)}_n,C^{(1)}_n,D^{(1)}_{n}$ models with some non-trivial diagonal K-matrices (one free parameter case) by the algebraic Bethe ansatz."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0611127","kind":"arxiv","version":2},"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":"2026-05-18T04:28:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PyUJBBAWKIYJbKs7cFP7795LUKdJHxvtf0cDowcROE1f38GyCb7Ny9tTJpSICHnJsxAsEGrTPS9w/3DBu4vdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T07:56:29.573393Z"},"content_sha256":"79c57f808de59160892d28f6b73dce370042e904fce4c04c3298b122860964ca","schema_version":"1.0","event_id":"sha256:79c57f808de59160892d28f6b73dce370042e904fce4c04c3298b122860964ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O24TNJFUKHNDOGFCO4QWSPOV4Q/bundle.json","state_url":"https://pith.science/pith/O24TNJFUKHNDOGFCO4QWSPOV4Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O24TNJFUKHNDOGFCO4QWSPOV4Q/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":"2026-06-12T07:56:29Z","links":{"resolver":"https://pith.science/pith/O24TNJFUKHNDOGFCO4QWSPOV4Q","bundle":"https://pith.science/pith/O24TNJFUKHNDOGFCO4QWSPOV4Q/bundle.json","state":"https://pith.science/pith/O24TNJFUKHNDOGFCO4QWSPOV4Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O24TNJFUKHNDOGFCO4QWSPOV4Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:O24TNJFUKHNDOGFCO4QWSPOV4Q","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":"325cb6780819ca9e83de47fd59effb41fc0ac9c45864a97d1412019b3bb9067e","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"","primary_cat":"hep-th","submitted_at":"2006-11-11T05:44:06Z","title_canon_sha256":"611e5e4d0a3a0a68e19a12263c3d19ae791a5ebdc79d861fdea2f002b476f13f"},"schema_version":"1.0","source":{"id":"hep-th/0611127","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0611127","created_at":"2026-05-18T04:28:37Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0611127v2","created_at":"2026-05-18T04:28:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0611127","created_at":"2026-05-18T04:28:37Z"},{"alias_kind":"pith_short_12","alias_value":"O24TNJFUKHND","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"O24TNJFUKHNDOGFC","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"O24TNJFU","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:79c57f808de59160892d28f6b73dce370042e904fce4c04c3298b122860964ca","target":"graph","created_at":"2026-05-18T04:28:37Z","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 a unified algebraic Bethe ansatz for open vertex models which are associated with the non-exceptional\n  $A^{(2)}_{2n},A^{(2)}_{2n-1},B^{(1)}_n,C^{(1)}_n,D^{(1)}_{n}$ Lie algebras. By the method, we solve these models with the trivial K matrix and find that our results agree with that obtained by analytical\n  Bethe ansatz. We also solve the $B^{(1)}_n,C^{(1)}_n,D^{(1)}_{n}$ models with some non-trivial diagonal K-matrices (one free parameter case) by the algebraic Bethe ansatz.","authors_text":"Guang-Liang Li, Kang-jie Shi","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-11-11T05:44:06Z","title":"The algebraic Bethe ansatz for open vertex models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0611127","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":"sha256:7738d7fca0feb999ccacd7d0990361db9075474b1232d3fb72c954246b00f415","target":"record","created_at":"2026-05-18T04:28:37Z","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":"325cb6780819ca9e83de47fd59effb41fc0ac9c45864a97d1412019b3bb9067e","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"","primary_cat":"hep-th","submitted_at":"2006-11-11T05:44:06Z","title_canon_sha256":"611e5e4d0a3a0a68e19a12263c3d19ae791a5ebdc79d861fdea2f002b476f13f"},"schema_version":"1.0","source":{"id":"hep-th/0611127","kind":"arxiv","version":2}},"canonical_sha256":"76b936a4b451da3718a27721693dd5e43f581203fb8d7107fc5ed4d7f2f5be9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76b936a4b451da3718a27721693dd5e43f581203fb8d7107fc5ed4d7f2f5be9f","first_computed_at":"2026-05-18T04:28:37.278226Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:37.278226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yt/tbbjkETZ1QcN/KpG8IqZgSwrQdAQW6772/XS1MIF2jW0ziPO8eL9h5lBQlAyjeEmou+0hsqJVRk6HvbP5AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:37.278664Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0611127","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7738d7fca0feb999ccacd7d0990361db9075474b1232d3fb72c954246b00f415","sha256:79c57f808de59160892d28f6b73dce370042e904fce4c04c3298b122860964ca"],"state_sha256":"4b0f495be86fe20bf60ead3cf5692388ce6d41a918dade4d924256d281e7ad8d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HSuHUWu+KKrFvNvksd6vF7Tp2gecO5szZKGE7hEXQIoBwA3w+2xDeK9qAH6NnYHkOoj+BtgqKc5Kef0blmPeDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T07:56:29.575382Z","bundle_sha256":"9e4b5592b0d2c143c1c7c65464993b6c5120e08cd678e375f58a49f25550e6d7"}}