{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:ZRSJEVKU2XLV4AWZOGZYT5DF5D","short_pith_number":"pith:ZRSJEVKU","canonical_record":{"source":{"id":"1008.0918","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-05T06:29:20Z","cross_cats_sorted":["hep-th","math.MP","math.QA"],"title_canon_sha256":"715bfdf399ff05abf334ac95c51bb3361c831fba28a3377517ec618be9e82985","abstract_canon_sha256":"73c194b589bf17d8dec3ba017ba1d4f732ac18114b4861a7fe1de8ba9b672b2a"},"schema_version":"1.0"},"canonical_sha256":"cc64925554d5d75e02d971b389f465e8dcd95ab5075451cd2a2b2aafeb8b7b23","source":{"kind":"arxiv","id":"1008.0918","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0918","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0918v4","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0918","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"pith_short_12","alias_value":"ZRSJEVKU2XLV","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZRSJEVKU2XLV4AWZ","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZRSJEVKU","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:ZRSJEVKU2XLV4AWZOGZYT5DF5D","target":"record","payload":{"canonical_record":{"source":{"id":"1008.0918","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-05T06:29:20Z","cross_cats_sorted":["hep-th","math.MP","math.QA"],"title_canon_sha256":"715bfdf399ff05abf334ac95c51bb3361c831fba28a3377517ec618be9e82985","abstract_canon_sha256":"73c194b589bf17d8dec3ba017ba1d4f732ac18114b4861a7fe1de8ba9b672b2a"},"schema_version":"1.0"},"canonical_sha256":"cc64925554d5d75e02d971b389f465e8dcd95ab5075451cd2a2b2aafeb8b7b23","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:47.163524Z","signature_b64":"JLL8DDIYkSy7cpzFg1xVTK4f6EuDKWUY5PISzfy2gB/yCUvcH4XNfX7Wv5Ub0AVtkCQCukRoIb1GXIhJeQ/UBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc64925554d5d75e02d971b389f465e8dcd95ab5075451cd2a2b2aafeb8b7b23","last_reissued_at":"2026-05-18T04:10:47.163075Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:47.163075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.0918","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:10:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pYRs/Yad+dHPQ4g808c5/bBFOTlZ9hzkCT9e7JegaJPf76ziMVijdR3V75yo2v5X6rNT5fZ8yMU8vcT6b+D6Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:56:16.406441Z"},"content_sha256":"8d97554085580c893de49c842e1cdce258de88e168f64b1385299df11992f77e","schema_version":"1.0","event_id":"sha256:8d97554085580c893de49c842e1cdce258de88e168f64b1385299df11992f77e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:ZRSJEVKU2XLV4AWZOGZYT5DF5D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"q-Deformed Onsager symmetry in boundary integrable models related to twisted U$_{q^{1/2}}(\\hat{sl_2})$ symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","math.QA"],"primary_cat":"math-ph","authors_text":"Kozo Koizumi","submitted_at":"2010-08-05T06:29:20Z","abstract_excerpt":"We consider an unified model, called ancestor model, associated with twisted trigonometric $R$ matrix which model leads to several descendant integrable lattice models related to the U$_{q^{1/2}}(\\hat{sl_2})$ symmetry. Boundary operators compatible with integrability are introduced to this model. Reflection and dual reflection equations to ensure integrability of the system are shown to be same as the untwisted case. It follows that underlying symmetry of the ancestor model with integrable boundaries is identified with the q-deformed analogue of Onsager's symmetry. The transfer matrix and its "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0918","kind":"arxiv","version":4},"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":"2026-05-18T04:10:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gZ1GyaaCnOSKxBidH9SyDM+iMMzVPw4drXpungRE3paFvH6qK5OTHTERpvsCK7Fw9zu8nWu7Jptg4XRYWjCIAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:56:16.406829Z"},"content_sha256":"df1baaaa41eb26e1b648041b1de6849851d77e4c438d8ebcbd56c4a248ce9f60","schema_version":"1.0","event_id":"sha256:df1baaaa41eb26e1b648041b1de6849851d77e4c438d8ebcbd56c4a248ce9f60"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZRSJEVKU2XLV4AWZOGZYT5DF5D/bundle.json","state_url":"https://pith.science/pith/ZRSJEVKU2XLV4AWZOGZYT5DF5D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZRSJEVKU2XLV4AWZOGZYT5DF5D/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":"2026-06-06T19:56:16Z","links":{"resolver":"https://pith.science/pith/ZRSJEVKU2XLV4AWZOGZYT5DF5D","bundle":"https://pith.science/pith/ZRSJEVKU2XLV4AWZOGZYT5DF5D/bundle.json","state":"https://pith.science/pith/ZRSJEVKU2XLV4AWZOGZYT5DF5D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZRSJEVKU2XLV4AWZOGZYT5DF5D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZRSJEVKU2XLV4AWZOGZYT5DF5D","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":"73c194b589bf17d8dec3ba017ba1d4f732ac18114b4861a7fe1de8ba9b672b2a","cross_cats_sorted":["hep-th","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-05T06:29:20Z","title_canon_sha256":"715bfdf399ff05abf334ac95c51bb3361c831fba28a3377517ec618be9e82985"},"schema_version":"1.0","source":{"id":"1008.0918","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0918","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0918v4","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0918","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"pith_short_12","alias_value":"ZRSJEVKU2XLV","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZRSJEVKU2XLV4AWZ","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZRSJEVKU","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:df1baaaa41eb26e1b648041b1de6849851d77e4c438d8ebcbd56c4a248ce9f60","target":"graph","created_at":"2026-05-18T04:10:47Z","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"},"paper":{"abstract_excerpt":"We consider an unified model, called ancestor model, associated with twisted trigonometric $R$ matrix which model leads to several descendant integrable lattice models related to the U$_{q^{1/2}}(\\hat{sl_2})$ symmetry. Boundary operators compatible with integrability are introduced to this model. Reflection and dual reflection equations to ensure integrability of the system are shown to be same as the untwisted case. It follows that underlying symmetry of the ancestor model with integrable boundaries is identified with the q-deformed analogue of Onsager's symmetry. The transfer matrix and its ","authors_text":"Kozo Koizumi","cross_cats":["hep-th","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-05T06:29:20Z","title":"q-Deformed Onsager symmetry in boundary integrable models related to twisted U$_{q^{1/2}}(\\hat{sl_2})$ symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0918","kind":"arxiv","version":4},"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":"sha256:8d97554085580c893de49c842e1cdce258de88e168f64b1385299df11992f77e","target":"record","created_at":"2026-05-18T04:10:47Z","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":"73c194b589bf17d8dec3ba017ba1d4f732ac18114b4861a7fe1de8ba9b672b2a","cross_cats_sorted":["hep-th","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-05T06:29:20Z","title_canon_sha256":"715bfdf399ff05abf334ac95c51bb3361c831fba28a3377517ec618be9e82985"},"schema_version":"1.0","source":{"id":"1008.0918","kind":"arxiv","version":4}},"canonical_sha256":"cc64925554d5d75e02d971b389f465e8dcd95ab5075451cd2a2b2aafeb8b7b23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc64925554d5d75e02d971b389f465e8dcd95ab5075451cd2a2b2aafeb8b7b23","first_computed_at":"2026-05-18T04:10:47.163075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:47.163075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JLL8DDIYkSy7cpzFg1xVTK4f6EuDKWUY5PISzfy2gB/yCUvcH4XNfX7Wv5Ub0AVtkCQCukRoIb1GXIhJeQ/UBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:47.163524Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0918","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d97554085580c893de49c842e1cdce258de88e168f64b1385299df11992f77e","sha256:df1baaaa41eb26e1b648041b1de6849851d77e4c438d8ebcbd56c4a248ce9f60"],"state_sha256":"2c30e4606e96ea89bb5c2e948eb0f69dcf95357efd7dc9d975f38ae3cba42480"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u3PbpKJJt2fxvIFaI4ZQmI0VXlmMjDlug1QUn/S5yglR6afoV+Alz93x8TNn4yLrqFmdaCOp4VHCDmxHpfS5DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:56:16.409421Z","bundle_sha256":"f2c4724045bd34cfeb14436c4da983d18f1e8db3e4ac7b0af22b4ffcc2f1233b"}}