{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:HLA7EIK274AK6SGCKRDAJFT7NM","short_pith_number":"pith:HLA7EIK2","canonical_record":{"source":{"id":"1505.06273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-05-23T04:09:57Z","cross_cats_sorted":[],"title_canon_sha256":"60f42fa4c8116521949d949f60792b9e4f7678b3b4988e67a18a702e4d59b2d8","abstract_canon_sha256":"9f61c7d85a6c5f03a51753413a713e95e9426b27e79a1e6fc6221bb34edb6dd4"},"schema_version":"1.0"},"canonical_sha256":"3ac1f2215aff00af48c2544604967f6b16bf002f0e5e5604ee121366e5c8a092","source":{"kind":"arxiv","id":"1505.06273","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06273","created_at":"2026-05-18T02:03:47Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06273v1","created_at":"2026-05-18T02:03:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06273","created_at":"2026-05-18T02:03:47Z"},{"alias_kind":"pith_short_12","alias_value":"HLA7EIK274AK","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HLA7EIK274AK6SGC","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HLA7EIK2","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:HLA7EIK274AK6SGCKRDAJFT7NM","target":"record","payload":{"canonical_record":{"source":{"id":"1505.06273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-05-23T04:09:57Z","cross_cats_sorted":[],"title_canon_sha256":"60f42fa4c8116521949d949f60792b9e4f7678b3b4988e67a18a702e4d59b2d8","abstract_canon_sha256":"9f61c7d85a6c5f03a51753413a713e95e9426b27e79a1e6fc6221bb34edb6dd4"},"schema_version":"1.0"},"canonical_sha256":"3ac1f2215aff00af48c2544604967f6b16bf002f0e5e5604ee121366e5c8a092","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:47.707844Z","signature_b64":"IqV73AfyrXArtQQfkxSXp3dU3/44WHchIfEIWiubcA+pGwyjWB4z6BjknRCfVxnkHKJqMsgP/qBDjUJCveQyBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ac1f2215aff00af48c2544604967f6b16bf002f0e5e5604ee121366e5c8a092","last_reissued_at":"2026-05-18T02:03:47.707352Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:47.707352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.06273","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":"2026-05-18T02:03:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6pFMF7DhhML95/TCASD8WvCPYQ7+TxpncxGfY2VXqF87Y022dt435oq63+2uAjlGnxsg6r93ro4gLqJ8BjBnDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:02:52.548089Z"},"content_sha256":"35fce529833108006c4a3ff2db327ab42cceb9c1f0c511c17272971477892ccf","schema_version":"1.0","event_id":"sha256:35fce529833108006c4a3ff2db327ab42cceb9c1f0c511c17272971477892ccf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:HLA7EIK274AK6SGCKRDAJFT7NM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermal Phase Transition of Generalized Heisenberg Models for SU(N) Spins on Square and Honeycomb Lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Haruhiko Matsuo, Kenji Harada, Naoki Kawashima, Synge Todo, Takafumi Suzuki","submitted_at":"2015-05-23T04:09:57Z","abstract_excerpt":"We investigate thermal phase transitions to a valence-bond solid phase in SU(N) Heisenberg models with four- or six-body interactions on a square or honeycomb lattice, respectively. In both cases, a thermal phase transition occurs that is accompanied by rotational symmetry breaking of the lattice. We perform quantum Monte Carlo calculations in order to clarify the critical properties of the models. The estimated critical exponents indicate that the universality classes of the square- and honeycomb-lattice cases are identical to those of the classical $XY$ model with a $Z_4$ symmetry-breaking f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06273","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":"2026-05-18T02:03:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hdsuksaeuCxRHsW7Q3eP3pR9vRcsH3mqRw5pbyGNr/e8e/ivDqY82ppWu+HEUu1DHyk7HWK8jS2yk0U8RdnYBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:02:52.548455Z"},"content_sha256":"0a12e522d81d711b42536c8b76e22b6e89e553a0dc05adf1018a4577b05f4738","schema_version":"1.0","event_id":"sha256:0a12e522d81d711b42536c8b76e22b6e89e553a0dc05adf1018a4577b05f4738"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HLA7EIK274AK6SGCKRDAJFT7NM/bundle.json","state_url":"https://pith.science/pith/HLA7EIK274AK6SGCKRDAJFT7NM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HLA7EIK274AK6SGCKRDAJFT7NM/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":"2026-06-02T03:02:52Z","links":{"resolver":"https://pith.science/pith/HLA7EIK274AK6SGCKRDAJFT7NM","bundle":"https://pith.science/pith/HLA7EIK274AK6SGCKRDAJFT7NM/bundle.json","state":"https://pith.science/pith/HLA7EIK274AK6SGCKRDAJFT7NM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HLA7EIK274AK6SGCKRDAJFT7NM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HLA7EIK274AK6SGCKRDAJFT7NM","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":"9f61c7d85a6c5f03a51753413a713e95e9426b27e79a1e6fc6221bb34edb6dd4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-05-23T04:09:57Z","title_canon_sha256":"60f42fa4c8116521949d949f60792b9e4f7678b3b4988e67a18a702e4d59b2d8"},"schema_version":"1.0","source":{"id":"1505.06273","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06273","created_at":"2026-05-18T02:03:47Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06273v1","created_at":"2026-05-18T02:03:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06273","created_at":"2026-05-18T02:03:47Z"},{"alias_kind":"pith_short_12","alias_value":"HLA7EIK274AK","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HLA7EIK274AK6SGC","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HLA7EIK2","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:0a12e522d81d711b42536c8b76e22b6e89e553a0dc05adf1018a4577b05f4738","target":"graph","created_at":"2026-05-18T02:03:47Z","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 investigate thermal phase transitions to a valence-bond solid phase in SU(N) Heisenberg models with four- or six-body interactions on a square or honeycomb lattice, respectively. In both cases, a thermal phase transition occurs that is accompanied by rotational symmetry breaking of the lattice. We perform quantum Monte Carlo calculations in order to clarify the critical properties of the models. The estimated critical exponents indicate that the universality classes of the square- and honeycomb-lattice cases are identical to those of the classical $XY$ model with a $Z_4$ symmetry-breaking f","authors_text":"Haruhiko Matsuo, Kenji Harada, Naoki Kawashima, Synge Todo, Takafumi Suzuki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-05-23T04:09:57Z","title":"Thermal Phase Transition of Generalized Heisenberg Models for SU(N) Spins on Square and Honeycomb Lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06273","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":"sha256:35fce529833108006c4a3ff2db327ab42cceb9c1f0c511c17272971477892ccf","target":"record","created_at":"2026-05-18T02:03:47Z","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":"9f61c7d85a6c5f03a51753413a713e95e9426b27e79a1e6fc6221bb34edb6dd4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-05-23T04:09:57Z","title_canon_sha256":"60f42fa4c8116521949d949f60792b9e4f7678b3b4988e67a18a702e4d59b2d8"},"schema_version":"1.0","source":{"id":"1505.06273","kind":"arxiv","version":1}},"canonical_sha256":"3ac1f2215aff00af48c2544604967f6b16bf002f0e5e5604ee121366e5c8a092","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ac1f2215aff00af48c2544604967f6b16bf002f0e5e5604ee121366e5c8a092","first_computed_at":"2026-05-18T02:03:47.707352Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:47.707352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IqV73AfyrXArtQQfkxSXp3dU3/44WHchIfEIWiubcA+pGwyjWB4z6BjknRCfVxnkHKJqMsgP/qBDjUJCveQyBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:47.707844Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.06273","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35fce529833108006c4a3ff2db327ab42cceb9c1f0c511c17272971477892ccf","sha256:0a12e522d81d711b42536c8b76e22b6e89e553a0dc05adf1018a4577b05f4738"],"state_sha256":"8e08f599bc52ec050a52be0f7475920115a233b770d6fb3df93f7c2b9cbd73a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uLIeKhgjqk3mnwVBRX/ucIj/YXStEHqOce5HP0XWpAdCO888mmzre7Qb+9pzp1szk5Beh554Jofht3BGger2Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:02:52.550383Z","bundle_sha256":"a9eedbcab1bbd332a2c58cb7df8b90dc86567e38a35512ff0c10a60d61831f25"}}