{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:KETZRJLJRL74OYDZNIOMOPVVDK","short_pith_number":"pith:KETZRJLJ","canonical_record":{"source":{"id":"cond-mat/0207665","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-07-28T12:02:08Z","cross_cats_sorted":[],"title_canon_sha256":"6aebca353b20168d5ca8e3b9a2d0bf81f3182ccccf9d82f9053a638ab771c2c2","abstract_canon_sha256":"02e0f645f5a59a127c1864c2693859f0b3797768b4386f98731f33cbb135ad3b"},"schema_version":"1.0"},"canonical_sha256":"512798a5698affc760796a1cc73eb51aa1432a01f45e23c20b23ae2caec051ec","source":{"kind":"arxiv","id":"cond-mat/0207665","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0207665","created_at":"2026-07-04T16:32:42Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0207665v1","created_at":"2026-07-04T16:32:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0207665","created_at":"2026-07-04T16:32:42Z"},{"alias_kind":"pith_short_12","alias_value":"KETZRJLJRL74","created_at":"2026-07-04T16:32:42Z"},{"alias_kind":"pith_short_16","alias_value":"KETZRJLJRL74OYDZ","created_at":"2026-07-04T16:32:42Z"},{"alias_kind":"pith_short_8","alias_value":"KETZRJLJ","created_at":"2026-07-04T16:32:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:KETZRJLJRL74OYDZNIOMOPVVDK","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0207665","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-07-28T12:02:08Z","cross_cats_sorted":[],"title_canon_sha256":"6aebca353b20168d5ca8e3b9a2d0bf81f3182ccccf9d82f9053a638ab771c2c2","abstract_canon_sha256":"02e0f645f5a59a127c1864c2693859f0b3797768b4386f98731f33cbb135ad3b"},"schema_version":"1.0"},"canonical_sha256":"512798a5698affc760796a1cc73eb51aa1432a01f45e23c20b23ae2caec051ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:32:42.135076Z","signature_b64":"4rSPMB1jya3UxKShK35sbUvAVY2KOlvNZpIwDwGLJ0Lubkit94oYM6enwvvnnuEeUUeY4x8lLKCd8uDEf75BBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"512798a5698affc760796a1cc73eb51aa1432a01f45e23c20b23ae2caec051ec","last_reissued_at":"2026-07-04T16:32:42.134734Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:32:42.134734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0207665","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":"2026-07-04T16:32:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eCAwK9zGTYAHjvqlPx318wFOcB4FIb+ykIgZq+L4kdTLtaYCNhMgYySed43fRm5sDYXBZoh+G4ysFTC3psq2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:17:08.689354Z"},"content_sha256":"b97e20c028675453877b61033e80319fdf0d544496ee7c60188210fdedafb83d","schema_version":"1.0","event_id":"sha256:b97e20c028675453877b61033e80319fdf0d544496ee7c60188210fdedafb83d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:KETZRJLJRL74OYDZNIOMOPVVDK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ordered phase and phase transitions in the three-dimensional generalized six-state clock model","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Norikazu Todoroki, Seiji Miyashita, Yohtaro Ueno","submitted_at":"2002-07-28T12:02:08Z","abstract_excerpt":"We study the three-dimensional generalized six-state clock model at values of the energy parameters, at which the system is considered to have the same behavior as the stacked triangular antiferromagnetic Ising model and the three-state antiferromagnetic Potts model. First, we investigate ordered phases by using the Monte Carlo twist method (MCTM). We confirmed the existence of an incompletely ordered phase (IOP1) at intermediate temperature, besides the completely ordered phase (COP) at low-temperature. In this intermediate phase, two neighboring states of the six-state model mix, while one o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0207665","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0207665/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:32:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CvFm8936U3zpp0VlhTzpwv1OzCXqrevN5qDGx6VVQc1VYkXfFudy228ennaVenHf9zd4rxw+C9gMKMbrYFv4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:17:08.690373Z"},"content_sha256":"145f4ece506d190975610f32f89adf154078847e17cdff8e3dd6967225189f0a","schema_version":"1.0","event_id":"sha256:145f4ece506d190975610f32f89adf154078847e17cdff8e3dd6967225189f0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KETZRJLJRL74OYDZNIOMOPVVDK/bundle.json","state_url":"https://pith.science/pith/KETZRJLJRL74OYDZNIOMOPVVDK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KETZRJLJRL74OYDZNIOMOPVVDK/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":"2026-08-04T11:17:08Z","links":{"resolver":"https://pith.science/pith/KETZRJLJRL74OYDZNIOMOPVVDK","bundle":"https://pith.science/pith/KETZRJLJRL74OYDZNIOMOPVVDK/bundle.json","state":"https://pith.science/pith/KETZRJLJRL74OYDZNIOMOPVVDK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KETZRJLJRL74OYDZNIOMOPVVDK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:KETZRJLJRL74OYDZNIOMOPVVDK","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":"02e0f645f5a59a127c1864c2693859f0b3797768b4386f98731f33cbb135ad3b","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-07-28T12:02:08Z","title_canon_sha256":"6aebca353b20168d5ca8e3b9a2d0bf81f3182ccccf9d82f9053a638ab771c2c2"},"schema_version":"1.0","source":{"id":"cond-mat/0207665","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0207665","created_at":"2026-07-04T16:32:42Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0207665v1","created_at":"2026-07-04T16:32:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0207665","created_at":"2026-07-04T16:32:42Z"},{"alias_kind":"pith_short_12","alias_value":"KETZRJLJRL74","created_at":"2026-07-04T16:32:42Z"},{"alias_kind":"pith_short_16","alias_value":"KETZRJLJRL74OYDZ","created_at":"2026-07-04T16:32:42Z"},{"alias_kind":"pith_short_8","alias_value":"KETZRJLJ","created_at":"2026-07-04T16:32:42Z"}],"graph_snapshots":[{"event_id":"sha256:145f4ece506d190975610f32f89adf154078847e17cdff8e3dd6967225189f0a","target":"graph","created_at":"2026-07-04T16:32:42Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0207665/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the three-dimensional generalized six-state clock model at values of the energy parameters, at which the system is considered to have the same behavior as the stacked triangular antiferromagnetic Ising model and the three-state antiferromagnetic Potts model. First, we investigate ordered phases by using the Monte Carlo twist method (MCTM). We confirmed the existence of an incompletely ordered phase (IOP1) at intermediate temperature, besides the completely ordered phase (COP) at low-temperature. In this intermediate phase, two neighboring states of the six-state model mix, while one o","authors_text":"Norikazu Todoroki, Seiji Miyashita, Yohtaro Ueno","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-07-28T12:02:08Z","title":"Ordered phase and phase transitions in the three-dimensional generalized six-state clock model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0207665","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:b97e20c028675453877b61033e80319fdf0d544496ee7c60188210fdedafb83d","target":"record","created_at":"2026-07-04T16:32:42Z","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":"02e0f645f5a59a127c1864c2693859f0b3797768b4386f98731f33cbb135ad3b","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-07-28T12:02:08Z","title_canon_sha256":"6aebca353b20168d5ca8e3b9a2d0bf81f3182ccccf9d82f9053a638ab771c2c2"},"schema_version":"1.0","source":{"id":"cond-mat/0207665","kind":"arxiv","version":1}},"canonical_sha256":"512798a5698affc760796a1cc73eb51aa1432a01f45e23c20b23ae2caec051ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"512798a5698affc760796a1cc73eb51aa1432a01f45e23c20b23ae2caec051ec","first_computed_at":"2026-07-04T16:32:42.134734Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:32:42.134734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4rSPMB1jya3UxKShK35sbUvAVY2KOlvNZpIwDwGLJ0Lubkit94oYM6enwvvnnuEeUUeY4x8lLKCd8uDEf75BBw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:32:42.135076Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0207665","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b97e20c028675453877b61033e80319fdf0d544496ee7c60188210fdedafb83d","sha256:145f4ece506d190975610f32f89adf154078847e17cdff8e3dd6967225189f0a"],"state_sha256":"f45a3a7f111bd414430cfc2bef5fe696b984309808f69fd4df715a7188c587f6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0fQIgcj07XESQdVUEs+4k7xTo4n06caQvtfWjt+qXQxXcmlogBOCU56jHkXSUZZUHkMnp/zmKu7cbY4sACNiBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T11:17:08.698052Z","bundle_sha256":"9d7ee0beba2ca1ae89982df85c0b3c83ecb9352fdf2eefdd18c070d1f0c79081"}}