{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BXUAGNU64G5WQD44F46UKY65HJ","short_pith_number":"pith:BXUAGNU6","canonical_record":{"source":{"id":"1412.1201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-03T05:51:45Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"283ff56cdc5d3df200804f92a7e58ca7fd90f10c606ad8674ea2aa0e80bf5f06","abstract_canon_sha256":"2254c8a92b8eca84f06c440af2a8d2ef7d1b9ceb50cef80ca1410e8dced28074"},"schema_version":"1.0"},"canonical_sha256":"0de803369ee1bb680f9c2f3d4563dd3a64f476e810b7a39a080c309eeefc3183","source":{"kind":"arxiv","id":"1412.1201","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.1201","created_at":"2026-05-18T02:32:13Z"},{"alias_kind":"arxiv_version","alias_value":"1412.1201v1","created_at":"2026-05-18T02:32:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.1201","created_at":"2026-05-18T02:32:13Z"},{"alias_kind":"pith_short_12","alias_value":"BXUAGNU64G5W","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BXUAGNU64G5WQD44","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BXUAGNU6","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BXUAGNU64G5WQD44F46UKY65HJ","target":"record","payload":{"canonical_record":{"source":{"id":"1412.1201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-03T05:51:45Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"283ff56cdc5d3df200804f92a7e58ca7fd90f10c606ad8674ea2aa0e80bf5f06","abstract_canon_sha256":"2254c8a92b8eca84f06c440af2a8d2ef7d1b9ceb50cef80ca1410e8dced28074"},"schema_version":"1.0"},"canonical_sha256":"0de803369ee1bb680f9c2f3d4563dd3a64f476e810b7a39a080c309eeefc3183","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:13.205071Z","signature_b64":"T23hZw6tRvHQ7rgUdhIfmr1nw523boJ/TdvEXeQDxpw+J4HxO57vKoUIknJTevW1xlWpNHDmz14UT0lfnDJIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0de803369ee1bb680f9c2f3d4563dd3a64f476e810b7a39a080c309eeefc3183","last_reissued_at":"2026-05-18T02:32:13.204453Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:13.204453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.1201","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":"2026-05-18T02:32:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B4nA6EEJukzNlPwUyLRihTrLlEFLhia/J+es4uRWXwKMaNt+TWl5sPK9juJGNtB5u5xM/jvquHKnC46rn7rxDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T04:12:03.777297Z"},"content_sha256":"78e16ed0bed52ccf38419285d5464a0b14d96c8cf8484bdcb3a76dc8b6a61376","schema_version":"1.0","event_id":"sha256:78e16ed0bed52ccf38419285d5464a0b14d96c8cf8484bdcb3a76dc8b6a61376"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BXUAGNU64G5WQD44F46UKY65HJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical behaviors of black holes in the Einstein-Maxwell gravity with conformal anomaly","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Ming Zhang, Rui-Hong Yue, Zhan-Ying Yang","submitted_at":"2014-12-03T05:51:45Z","abstract_excerpt":"We study $P-V$ critical behavior of 4-dimensional AdS black hole in the Einstein-Maxwell gravity with conformal anomaly by treating the cosmological constant as a variable related to the thermodynamic pressure. It shows that there is no phase transition if taking $k=0$ or -1. When the charge $q_1$ of conformal field and the coefficient $\\alpha$ satisfy a certain relation, the Van der Waal like phase transition for the spherical black hole can occur in case of the temperature is lower than the small critical temperature or higher than the large one. We also evaluate the critical exponents of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.1201","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":"2026-05-18T02:32:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DVNOEnpKFaH7vRQVhonDPQfRgRLf0+GRdnIWZauRQ9MDqCBAancOTKWn8xJO4KIYD7biSZ2qjxN8HnU6YiWHDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T04:12:03.777893Z"},"content_sha256":"66b644981dc21c2ca5a7ab3f2c4284092934893413d9fe2fe88db3b33c07a638","schema_version":"1.0","event_id":"sha256:66b644981dc21c2ca5a7ab3f2c4284092934893413d9fe2fe88db3b33c07a638"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BXUAGNU64G5WQD44F46UKY65HJ/bundle.json","state_url":"https://pith.science/pith/BXUAGNU64G5WQD44F46UKY65HJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BXUAGNU64G5WQD44F46UKY65HJ/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":"2026-06-05T04:12:03Z","links":{"resolver":"https://pith.science/pith/BXUAGNU64G5WQD44F46UKY65HJ","bundle":"https://pith.science/pith/BXUAGNU64G5WQD44F46UKY65HJ/bundle.json","state":"https://pith.science/pith/BXUAGNU64G5WQD44F46UKY65HJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BXUAGNU64G5WQD44F46UKY65HJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BXUAGNU64G5WQD44F46UKY65HJ","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":"2254c8a92b8eca84f06c440af2a8d2ef7d1b9ceb50cef80ca1410e8dced28074","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-03T05:51:45Z","title_canon_sha256":"283ff56cdc5d3df200804f92a7e58ca7fd90f10c606ad8674ea2aa0e80bf5f06"},"schema_version":"1.0","source":{"id":"1412.1201","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.1201","created_at":"2026-05-18T02:32:13Z"},{"alias_kind":"arxiv_version","alias_value":"1412.1201v1","created_at":"2026-05-18T02:32:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.1201","created_at":"2026-05-18T02:32:13Z"},{"alias_kind":"pith_short_12","alias_value":"BXUAGNU64G5W","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BXUAGNU64G5WQD44","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BXUAGNU6","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:66b644981dc21c2ca5a7ab3f2c4284092934893413d9fe2fe88db3b33c07a638","target":"graph","created_at":"2026-05-18T02:32:13Z","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 study $P-V$ critical behavior of 4-dimensional AdS black hole in the Einstein-Maxwell gravity with conformal anomaly by treating the cosmological constant as a variable related to the thermodynamic pressure. It shows that there is no phase transition if taking $k=0$ or -1. When the charge $q_1$ of conformal field and the coefficient $\\alpha$ satisfy a certain relation, the Van der Waal like phase transition for the spherical black hole can occur in case of the temperature is lower than the small critical temperature or higher than the large one. We also evaluate the critical exponents of th","authors_text":"Ming Zhang, Rui-Hong Yue, Zhan-Ying Yang","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-03T05:51:45Z","title":"Critical behaviors of black holes in the Einstein-Maxwell gravity with conformal anomaly"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.1201","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":"sha256:78e16ed0bed52ccf38419285d5464a0b14d96c8cf8484bdcb3a76dc8b6a61376","target":"record","created_at":"2026-05-18T02:32:13Z","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":"2254c8a92b8eca84f06c440af2a8d2ef7d1b9ceb50cef80ca1410e8dced28074","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-03T05:51:45Z","title_canon_sha256":"283ff56cdc5d3df200804f92a7e58ca7fd90f10c606ad8674ea2aa0e80bf5f06"},"schema_version":"1.0","source":{"id":"1412.1201","kind":"arxiv","version":1}},"canonical_sha256":"0de803369ee1bb680f9c2f3d4563dd3a64f476e810b7a39a080c309eeefc3183","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0de803369ee1bb680f9c2f3d4563dd3a64f476e810b7a39a080c309eeefc3183","first_computed_at":"2026-05-18T02:32:13.204453Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:13.204453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T23hZw6tRvHQ7rgUdhIfmr1nw523boJ/TdvEXeQDxpw+J4HxO57vKoUIknJTevW1xlWpNHDmz14UT0lfnDJIDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:13.205071Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.1201","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78e16ed0bed52ccf38419285d5464a0b14d96c8cf8484bdcb3a76dc8b6a61376","sha256:66b644981dc21c2ca5a7ab3f2c4284092934893413d9fe2fe88db3b33c07a638"],"state_sha256":"418682d15a48d65a375c24f78992703975cec8da0fe8dc0756c836fd546601b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wkmb1+D98knoki7qWN7uZIymszZ6tZoUEtGJLwZVhxuR0ZP/E99LeptA/7Hd3z6YZ/TkqonYmH3qa6NEyTf4Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T04:12:03.781348Z","bundle_sha256":"2372897e48c7fca715a404d686159fe17b1c11be2a9c13cc4c29042211f58ead"}}