{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TG2353J3YMLSWJGQDPBF64DPRT","short_pith_number":"pith:TG2353J3","canonical_record":{"source":{"id":"1312.2643","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-12-10T02:22:09Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"a933bffdfb7b279df140900c73ce05cf104cc9d764639e6bc19f7ae897f46102","abstract_canon_sha256":"4d519af74a3ca579fb84c20077dc3a50445187560a285b42c2d2907a52fffdd0"},"schema_version":"1.0"},"canonical_sha256":"99b5beed3bc3172b24d01bc25f706f8cf3df259feb5a3ed92b87d705b9bc5014","source":{"kind":"arxiv","id":"1312.2643","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2643","created_at":"2026-05-18T02:51:56Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2643v2","created_at":"2026-05-18T02:51:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2643","created_at":"2026-05-18T02:51:56Z"},{"alias_kind":"pith_short_12","alias_value":"TG2353J3YMLS","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TG2353J3YMLSWJGQ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TG2353J3","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TG2353J3YMLSWJGQDPBF64DPRT","target":"record","payload":{"canonical_record":{"source":{"id":"1312.2643","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-12-10T02:22:09Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"a933bffdfb7b279df140900c73ce05cf104cc9d764639e6bc19f7ae897f46102","abstract_canon_sha256":"4d519af74a3ca579fb84c20077dc3a50445187560a285b42c2d2907a52fffdd0"},"schema_version":"1.0"},"canonical_sha256":"99b5beed3bc3172b24d01bc25f706f8cf3df259feb5a3ed92b87d705b9bc5014","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:56.793527Z","signature_b64":"o1yszKIfwAAyP/8mqn5x+MDJaHCLkqBaQiV0zC3rhEqDA46kb48HsSr0VV3X9MxrJ2hNmA8XDQdRf8quDp3bAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99b5beed3bc3172b24d01bc25f706f8cf3df259feb5a3ed92b87d705b9bc5014","last_reissued_at":"2026-05-18T02:51:56.793055Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:56.793055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.2643","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":"2026-05-18T02:51:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"veu8OTZeIahNEshlCKsMY7BN07mcZkdYFyyrp18VKqgFHWHEHmI9/ME8JTJtr2NOwBFpWulFjEACz8xWK36iCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:28:34.730457Z"},"content_sha256":"c76bc3d175cb9314542903a89e65a010f6dbbca9ccf920f004771f72309d6143","schema_version":"1.0","event_id":"sha256:c76bc3d175cb9314542903a89e65a010f6dbbca9ccf920f004771f72309d6143"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TG2353J3YMLSWJGQDPBF64DPRT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetry-protected topological order and negative-sign problem for SO(N) bilinear-biquadratic chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Kenji Harada, Kouichi Okunishi","submitted_at":"2013-12-10T02:22:09Z","abstract_excerpt":"Using a generalized Jordan-Wigner transformation combined with the defining representation of the SO(N) spin, we map the SO(N) bilinear-biquadratic(BLBQ) spin chain into the N-color bosonic particle model. We find that, when the Jordan-Wigner transformation disentangles the symmetry-protected topological entanglement, this bosonic model becomes negative-sign free in the context of quantum Monte-Carlo simulation. For the SO(3) case, moreover, the Kennedy-Tasaki transformation for the S=1 BLBQ chain, which is also a topological disentangler, derives the same bosonic model through the dimer-R bas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2643","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":"2026-05-18T02:51:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XANcySq6LmOLAKLAZ9MFWLyWPcUlYpH72cOUGLGQu0UP5rheF0MAsy7m98VF0iKgGdqgtdfM8E/DeecwMXdqCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:28:34.730943Z"},"content_sha256":"fbe152e7237819d2811cae0dcc86b91dc54338490a7d9056ff3efaa2cef53538","schema_version":"1.0","event_id":"sha256:fbe152e7237819d2811cae0dcc86b91dc54338490a7d9056ff3efaa2cef53538"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TG2353J3YMLSWJGQDPBF64DPRT/bundle.json","state_url":"https://pith.science/pith/TG2353J3YMLSWJGQDPBF64DPRT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TG2353J3YMLSWJGQDPBF64DPRT/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":"2026-06-02T00:28:34Z","links":{"resolver":"https://pith.science/pith/TG2353J3YMLSWJGQDPBF64DPRT","bundle":"https://pith.science/pith/TG2353J3YMLSWJGQDPBF64DPRT/bundle.json","state":"https://pith.science/pith/TG2353J3YMLSWJGQDPBF64DPRT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TG2353J3YMLSWJGQDPBF64DPRT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TG2353J3YMLSWJGQDPBF64DPRT","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":"4d519af74a3ca579fb84c20077dc3a50445187560a285b42c2d2907a52fffdd0","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-12-10T02:22:09Z","title_canon_sha256":"a933bffdfb7b279df140900c73ce05cf104cc9d764639e6bc19f7ae897f46102"},"schema_version":"1.0","source":{"id":"1312.2643","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2643","created_at":"2026-05-18T02:51:56Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2643v2","created_at":"2026-05-18T02:51:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2643","created_at":"2026-05-18T02:51:56Z"},{"alias_kind":"pith_short_12","alias_value":"TG2353J3YMLS","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TG2353J3YMLSWJGQ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TG2353J3","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:fbe152e7237819d2811cae0dcc86b91dc54338490a7d9056ff3efaa2cef53538","target":"graph","created_at":"2026-05-18T02:51:56Z","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":"Using a generalized Jordan-Wigner transformation combined with the defining representation of the SO(N) spin, we map the SO(N) bilinear-biquadratic(BLBQ) spin chain into the N-color bosonic particle model. We find that, when the Jordan-Wigner transformation disentangles the symmetry-protected topological entanglement, this bosonic model becomes negative-sign free in the context of quantum Monte-Carlo simulation. For the SO(3) case, moreover, the Kennedy-Tasaki transformation for the S=1 BLBQ chain, which is also a topological disentangler, derives the same bosonic model through the dimer-R bas","authors_text":"Kenji Harada, Kouichi Okunishi","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-12-10T02:22:09Z","title":"Symmetry-protected topological order and negative-sign problem for SO(N) bilinear-biquadratic chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2643","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:c76bc3d175cb9314542903a89e65a010f6dbbca9ccf920f004771f72309d6143","target":"record","created_at":"2026-05-18T02:51:56Z","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":"4d519af74a3ca579fb84c20077dc3a50445187560a285b42c2d2907a52fffdd0","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-12-10T02:22:09Z","title_canon_sha256":"a933bffdfb7b279df140900c73ce05cf104cc9d764639e6bc19f7ae897f46102"},"schema_version":"1.0","source":{"id":"1312.2643","kind":"arxiv","version":2}},"canonical_sha256":"99b5beed3bc3172b24d01bc25f706f8cf3df259feb5a3ed92b87d705b9bc5014","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99b5beed3bc3172b24d01bc25f706f8cf3df259feb5a3ed92b87d705b9bc5014","first_computed_at":"2026-05-18T02:51:56.793055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:56.793055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o1yszKIfwAAyP/8mqn5x+MDJaHCLkqBaQiV0zC3rhEqDA46kb48HsSr0VV3X9MxrJ2hNmA8XDQdRf8quDp3bAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:56.793527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.2643","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c76bc3d175cb9314542903a89e65a010f6dbbca9ccf920f004771f72309d6143","sha256:fbe152e7237819d2811cae0dcc86b91dc54338490a7d9056ff3efaa2cef53538"],"state_sha256":"de6efbce039a0d5a8a8d0a9d0cc39577ba20d073ebdefe067c2e37dbdce73aea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cpq0Znk9P/j5iUTfkP5gfPCrqfxA7Ky9TYR1HAz+DiRwIIuI3iC+e7DfC4sohvazRCgHO7XnE339FK7Wjw5UCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:28:34.733827Z","bundle_sha256":"59c95a87324978d3b596320bbab60d694b4f231812feab54b28caf11aac5e615"}}