{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:BABKA2XLHHJJ7Z5TCWQSISIQMD","short_pith_number":"pith:BABKA2XL","canonical_record":{"source":{"id":"1102.5475","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-27T05:46:08Z","cross_cats_sorted":[],"title_canon_sha256":"3591132fdaf2080324fcfe1e2e219173bc88380aa1e0cc9bee29753ae8d9c4c5","abstract_canon_sha256":"765d997a4af521047c25805d0e9f27d5a65c3c0a5f49029724100c2ea69551d3"},"schema_version":"1.0"},"canonical_sha256":"0802a06aeb39d29fe7b315a124491060e14a75c2f52cee186a87df17c1b651a5","source":{"kind":"arxiv","id":"1102.5475","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.5475","created_at":"2026-05-18T04:21:10Z"},{"alias_kind":"arxiv_version","alias_value":"1102.5475v1","created_at":"2026-05-18T04:21:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.5475","created_at":"2026-05-18T04:21:10Z"},{"alias_kind":"pith_short_12","alias_value":"BABKA2XLHHJJ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BABKA2XLHHJJ7Z5T","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BABKA2XL","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:BABKA2XLHHJJ7Z5TCWQSISIQMD","target":"record","payload":{"canonical_record":{"source":{"id":"1102.5475","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-27T05:46:08Z","cross_cats_sorted":[],"title_canon_sha256":"3591132fdaf2080324fcfe1e2e219173bc88380aa1e0cc9bee29753ae8d9c4c5","abstract_canon_sha256":"765d997a4af521047c25805d0e9f27d5a65c3c0a5f49029724100c2ea69551d3"},"schema_version":"1.0"},"canonical_sha256":"0802a06aeb39d29fe7b315a124491060e14a75c2f52cee186a87df17c1b651a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:21:10.512304Z","signature_b64":"1TLFAoDK5IW5NEjIzLn4766VPpwNNrmGfEySqZgxGR1gbsczoX7rbLX7nJ/2aEY960iSm8UdZ2f8Sz8ZYKnCBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0802a06aeb39d29fe7b315a124491060e14a75c2f52cee186a87df17c1b651a5","last_reissued_at":"2026-05-18T04:21:10.511842Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:21:10.511842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.5475","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":"2026-05-18T04:21:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O/7Uu2ZtnecIc+wXIAN5KDlCOsKdoH71x1f4oT8EOMijTCpTIE27pWt8Ip9wVWSJkKtuqHXd77MU+zEInsAOBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:21:31.943668Z"},"content_sha256":"5b98ddc36b77be8be7a154bf9c9ad31063a756fad95627fbc81ed07b1625cec2","schema_version":"1.0","event_id":"sha256:5b98ddc36b77be8be7a154bf9c9ad31063a756fad95627fbc81ed07b1625cec2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:BABKA2XLHHJJ7Z5TCWQSISIQMD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase Transition of Generalized Ferromagnetic Potts Model - Effect of Invisible States -","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Naoki Kawashima, Ryo Tamura, Shu Tanaka","submitted_at":"2011-02-27T05:46:08Z","abstract_excerpt":"We investigate the nature of the phase transition of the ferromagnetic Potts model with invisible states. The ferromagnetic Potts model with invisible states can be regarded as straightforward extension of the standard ferromagnetic Potts model. The invisible states contribute the entropy, however they do not affect the internal energy. They also do not change the symmetry which breaks at the transition temperature. The invisible states stimulate a first-order phase transition. We confirm that the first-order phase transition with spontaneous $q$-fold symmetry breaking for $q=2,3$, and 4 takes"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.5475","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":"2026-05-18T04:21:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pc/QtCrMofYCkOb8iPSPJfB3j4XvVvyILFnicVjpzcyqjyZIRyrmo4G/CxCIIzvjqUPqa9RXpGpWcXPyQkHfCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:21:31.944001Z"},"content_sha256":"2d0f7ada83f6984dc27f9ba788dd85ddfcb6b8445584be1b18b69f666e99f96e","schema_version":"1.0","event_id":"sha256:2d0f7ada83f6984dc27f9ba788dd85ddfcb6b8445584be1b18b69f666e99f96e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BABKA2XLHHJJ7Z5TCWQSISIQMD/bundle.json","state_url":"https://pith.science/pith/BABKA2XLHHJJ7Z5TCWQSISIQMD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BABKA2XLHHJJ7Z5TCWQSISIQMD/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":"2026-06-01T16:21:31Z","links":{"resolver":"https://pith.science/pith/BABKA2XLHHJJ7Z5TCWQSISIQMD","bundle":"https://pith.science/pith/BABKA2XLHHJJ7Z5TCWQSISIQMD/bundle.json","state":"https://pith.science/pith/BABKA2XLHHJJ7Z5TCWQSISIQMD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BABKA2XLHHJJ7Z5TCWQSISIQMD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BABKA2XLHHJJ7Z5TCWQSISIQMD","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":"765d997a4af521047c25805d0e9f27d5a65c3c0a5f49029724100c2ea69551d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-27T05:46:08Z","title_canon_sha256":"3591132fdaf2080324fcfe1e2e219173bc88380aa1e0cc9bee29753ae8d9c4c5"},"schema_version":"1.0","source":{"id":"1102.5475","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.5475","created_at":"2026-05-18T04:21:10Z"},{"alias_kind":"arxiv_version","alias_value":"1102.5475v1","created_at":"2026-05-18T04:21:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.5475","created_at":"2026-05-18T04:21:10Z"},{"alias_kind":"pith_short_12","alias_value":"BABKA2XLHHJJ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BABKA2XLHHJJ7Z5T","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BABKA2XL","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:2d0f7ada83f6984dc27f9ba788dd85ddfcb6b8445584be1b18b69f666e99f96e","target":"graph","created_at":"2026-05-18T04:21:10Z","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 the nature of the phase transition of the ferromagnetic Potts model with invisible states. The ferromagnetic Potts model with invisible states can be regarded as straightforward extension of the standard ferromagnetic Potts model. The invisible states contribute the entropy, however they do not affect the internal energy. They also do not change the symmetry which breaks at the transition temperature. The invisible states stimulate a first-order phase transition. We confirm that the first-order phase transition with spontaneous $q$-fold symmetry breaking for $q=2,3$, and 4 takes","authors_text":"Naoki Kawashima, Ryo Tamura, Shu Tanaka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-27T05:46:08Z","title":"Phase Transition of Generalized Ferromagnetic Potts Model - Effect of Invisible States -"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.5475","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":"sha256:5b98ddc36b77be8be7a154bf9c9ad31063a756fad95627fbc81ed07b1625cec2","target":"record","created_at":"2026-05-18T04:21:10Z","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":"765d997a4af521047c25805d0e9f27d5a65c3c0a5f49029724100c2ea69551d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-27T05:46:08Z","title_canon_sha256":"3591132fdaf2080324fcfe1e2e219173bc88380aa1e0cc9bee29753ae8d9c4c5"},"schema_version":"1.0","source":{"id":"1102.5475","kind":"arxiv","version":1}},"canonical_sha256":"0802a06aeb39d29fe7b315a124491060e14a75c2f52cee186a87df17c1b651a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0802a06aeb39d29fe7b315a124491060e14a75c2f52cee186a87df17c1b651a5","first_computed_at":"2026-05-18T04:21:10.511842Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:10.511842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1TLFAoDK5IW5NEjIzLn4766VPpwNNrmGfEySqZgxGR1gbsczoX7rbLX7nJ/2aEY960iSm8UdZ2f8Sz8ZYKnCBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:10.512304Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.5475","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b98ddc36b77be8be7a154bf9c9ad31063a756fad95627fbc81ed07b1625cec2","sha256:2d0f7ada83f6984dc27f9ba788dd85ddfcb6b8445584be1b18b69f666e99f96e"],"state_sha256":"d775eead603fc19cce19e477a0d3a275ec7e23094660b28d0b1452f3e8ae2c55"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2lQXW54kTqqR6G8p/2FjMpTFDCVfmMDe8CkAso/wbBLkJdKQXZDpZGstSQ9/juRHD5BGuwGv6fj6V3+PxixtCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:21:31.945844Z","bundle_sha256":"140d97844b3a9f9849b34ed85ee457ae5774bbdaede8c4cfc006f42674a9f243"}}