{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:GFQQYHYO5C3ZC6Z6JL2TAOH35J","short_pith_number":"pith:GFQQYHYO","canonical_record":{"source":{"id":"1312.0679","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"hep-th","submitted_at":"2013-12-03T01:30:21Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"2485655c9c24f6767ec4fbcff3d1accbaa672fa89c286187f18f5d2db8488b8b","abstract_canon_sha256":"51666602c646f03ad818c3da81df1d195dcbef7613529a7303748ba66f8a0b49"},"schema_version":"1.0"},"canonical_sha256":"31610c1f0ee8b7917b3e4af53038fbea5371961dd80d95f12ce377d85f280c44","source":{"kind":"arxiv","id":"1312.0679","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.0679","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"arxiv_version","alias_value":"1312.0679v3","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.0679","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"pith_short_12","alias_value":"GFQQYHYO5C3Z","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GFQQYHYO5C3ZC6Z6","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GFQQYHYO","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:GFQQYHYO5C3ZC6Z6JL2TAOH35J","target":"record","payload":{"canonical_record":{"source":{"id":"1312.0679","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"hep-th","submitted_at":"2013-12-03T01:30:21Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"2485655c9c24f6767ec4fbcff3d1accbaa672fa89c286187f18f5d2db8488b8b","abstract_canon_sha256":"51666602c646f03ad818c3da81df1d195dcbef7613529a7303748ba66f8a0b49"},"schema_version":"1.0"},"canonical_sha256":"31610c1f0ee8b7917b3e4af53038fbea5371961dd80d95f12ce377d85f280c44","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:46.693810Z","signature_b64":"TKxpqcPZ7tK5LlRlDv8wgID19t5LovXFJhelCWifbudOZxn+ZNKNDVo3HY9WFcjg6iBHjsrXbhA72uL+iB98Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31610c1f0ee8b7917b3e4af53038fbea5371961dd80d95f12ce377d85f280c44","last_reissued_at":"2026-05-18T02:54:46.693389Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:46.693389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.0679","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:54:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EIcvJBWrOVbrePZ4dbFgQH0nT3d5gDeEe0tTQSe3FZqF1ai2GgbBwUEUM+lwaZmdm/WF13BaOha1gZyHdTd9Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:02:36.418077Z"},"content_sha256":"5d2653576eec4529d8e3371883b7626a84d2917b1e1f87d0bea336a9252b2e82","schema_version":"1.0","event_id":"sha256:5d2653576eec4529d8e3371883b7626a84d2917b1e1f87d0bea336a9252b2e82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:GFQQYHYO5C3ZC6Z6JL2TAOH35J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase transitions, geometrothermodynamics and critical exponents of black holes with conformal anomaly","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Jie-Xiong Mo, Wen-Biao Liu","submitted_at":"2013-12-03T01:30:21Z","abstract_excerpt":"We investigate the phase transitions of black holes with conformal anomaly in canonical ensemble from different perspectives. Some interesting and novel phase transition phenomena have been discovered. Firstly, we discuss the behavior of the specific heat and the inverse of the isothermal compressibility. It is shown that there are striking differences in Hawking temperature and phase structure between black holes with conformal anomaly and those without it. In the case with conformal anomaly, there exists local minimum temperature corresponding to the phase transition point. Phase transitions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0679","kind":"arxiv","version":3},"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":"2026-05-18T02:54:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MG+pN/ugyx1pU0XQRp1hgbK693QK5KehqpdI1hkU3FmjE8hidi7ji25kwsLChjj11YuGKEJIfXjG/GHZyPQnAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:02:36.418849Z"},"content_sha256":"a9310c3939dac6df072da1718ec2899176ee5fe50a8b6ffaf1648b1bb69e7bde","schema_version":"1.0","event_id":"sha256:a9310c3939dac6df072da1718ec2899176ee5fe50a8b6ffaf1648b1bb69e7bde"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GFQQYHYO5C3ZC6Z6JL2TAOH35J/bundle.json","state_url":"https://pith.science/pith/GFQQYHYO5C3ZC6Z6JL2TAOH35J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GFQQYHYO5C3ZC6Z6JL2TAOH35J/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":"2026-06-11T08:02:36Z","links":{"resolver":"https://pith.science/pith/GFQQYHYO5C3ZC6Z6JL2TAOH35J","bundle":"https://pith.science/pith/GFQQYHYO5C3ZC6Z6JL2TAOH35J/bundle.json","state":"https://pith.science/pith/GFQQYHYO5C3ZC6Z6JL2TAOH35J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GFQQYHYO5C3ZC6Z6JL2TAOH35J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:GFQQYHYO5C3ZC6Z6JL2TAOH35J","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":"51666602c646f03ad818c3da81df1d195dcbef7613529a7303748ba66f8a0b49","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"hep-th","submitted_at":"2013-12-03T01:30:21Z","title_canon_sha256":"2485655c9c24f6767ec4fbcff3d1accbaa672fa89c286187f18f5d2db8488b8b"},"schema_version":"1.0","source":{"id":"1312.0679","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.0679","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"arxiv_version","alias_value":"1312.0679v3","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.0679","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"pith_short_12","alias_value":"GFQQYHYO5C3Z","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GFQQYHYO5C3ZC6Z6","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GFQQYHYO","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:a9310c3939dac6df072da1718ec2899176ee5fe50a8b6ffaf1648b1bb69e7bde","target":"graph","created_at":"2026-05-18T02:54:46Z","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 phase transitions of black holes with conformal anomaly in canonical ensemble from different perspectives. Some interesting and novel phase transition phenomena have been discovered. Firstly, we discuss the behavior of the specific heat and the inverse of the isothermal compressibility. It is shown that there are striking differences in Hawking temperature and phase structure between black holes with conformal anomaly and those without it. In the case with conformal anomaly, there exists local minimum temperature corresponding to the phase transition point. Phase transitions","authors_text":"Jie-Xiong Mo, Wen-Biao Liu","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"hep-th","submitted_at":"2013-12-03T01:30:21Z","title":"Phase transitions, geometrothermodynamics and critical exponents of black holes with conformal anomaly"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0679","kind":"arxiv","version":3},"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":"sha256:5d2653576eec4529d8e3371883b7626a84d2917b1e1f87d0bea336a9252b2e82","target":"record","created_at":"2026-05-18T02:54:46Z","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":"51666602c646f03ad818c3da81df1d195dcbef7613529a7303748ba66f8a0b49","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"hep-th","submitted_at":"2013-12-03T01:30:21Z","title_canon_sha256":"2485655c9c24f6767ec4fbcff3d1accbaa672fa89c286187f18f5d2db8488b8b"},"schema_version":"1.0","source":{"id":"1312.0679","kind":"arxiv","version":3}},"canonical_sha256":"31610c1f0ee8b7917b3e4af53038fbea5371961dd80d95f12ce377d85f280c44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31610c1f0ee8b7917b3e4af53038fbea5371961dd80d95f12ce377d85f280c44","first_computed_at":"2026-05-18T02:54:46.693389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:46.693389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TKxpqcPZ7tK5LlRlDv8wgID19t5LovXFJhelCWifbudOZxn+ZNKNDVo3HY9WFcjg6iBHjsrXbhA72uL+iB98Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:46.693810Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.0679","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d2653576eec4529d8e3371883b7626a84d2917b1e1f87d0bea336a9252b2e82","sha256:a9310c3939dac6df072da1718ec2899176ee5fe50a8b6ffaf1648b1bb69e7bde"],"state_sha256":"90ad20a037b82f0ec148b463e17c7395d8856bad05e9450ca658b1a3092b1520"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SlbxlU2ciJGZXM2zgELDmWvYtRmxwKblD8/S9lgCBBx+MFnTGbD2Kss/6kBJXW2vWnyCNwbFk0oTCoXXgdsOCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T08:02:36.423254Z","bundle_sha256":"a82d8cea4ec1522da4042b9933e2a7d0de54cbd4fb56eaf195e5a113a780f1fc"}}