{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:EDHEY3RLRROEWQVPUX7TQ4DNMS","short_pith_number":"pith:EDHEY3RL","canonical_record":{"source":{"id":"1205.0559","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-02T20:09:25Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"cdc9a7cfb41898768c2ec979dda5ddb2f938232ab8c15786f228cf50f5c28da9","abstract_canon_sha256":"0b275599f07d2ddea6611186984d19d89d891f67a6274ba6a6a46c298969c726"},"schema_version":"1.0"},"canonical_sha256":"20ce4c6e2b8c5c4b42afa5ff38706d64a6cee02642d85a6e2578566d1c54abdf","source":{"kind":"arxiv","id":"1205.0559","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0559","created_at":"2026-05-18T01:57:38Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0559v2","created_at":"2026-05-18T01:57:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0559","created_at":"2026-05-18T01:57:38Z"},{"alias_kind":"pith_short_12","alias_value":"EDHEY3RLRROE","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EDHEY3RLRROEWQVP","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EDHEY3RL","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:EDHEY3RLRROEWQVPUX7TQ4DNMS","target":"record","payload":{"canonical_record":{"source":{"id":"1205.0559","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-02T20:09:25Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"cdc9a7cfb41898768c2ec979dda5ddb2f938232ab8c15786f228cf50f5c28da9","abstract_canon_sha256":"0b275599f07d2ddea6611186984d19d89d891f67a6274ba6a6a46c298969c726"},"schema_version":"1.0"},"canonical_sha256":"20ce4c6e2b8c5c4b42afa5ff38706d64a6cee02642d85a6e2578566d1c54abdf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:38.734403Z","signature_b64":"0kvtBQALTzTKB8j+WK6nUkS040oO3xh7GCZ8wqGSv1AVAaw3aUTw2ttWIBRgbyUEAwEPQWxTFXX4wOXAAp9yCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20ce4c6e2b8c5c4b42afa5ff38706d64a6cee02642d85a6e2578566d1c54abdf","last_reissued_at":"2026-05-18T01:57:38.733759Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:38.733759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.0559","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:57:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pG9yw/DDociRs8XOx2b5rDdgPgeao1o6NM15wCmLZZMJt3ceKY+TVUngun9uZtBX48Es6pC0vND7+Vpc1jeQDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T23:25:12.798015Z"},"content_sha256":"985ffbf9f132bccbc3eee5b702fefcf7a706990f3e9cbff82ccfd32717248d8f","schema_version":"1.0","event_id":"sha256:985ffbf9f132bccbc3eee5b702fefcf7a706990f3e9cbff82ccfd32717248d8f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:EDHEY3RLRROEWQVPUX7TQ4DNMS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"P-V criticality of charged AdS black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"David Kubiznak, Robert B. Mann","submitted_at":"2012-05-02T20:09:25Z","abstract_excerpt":"Treating the cosmological constant as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we reconsider the critical behaviour of charged AdS black holes. We complete the analogy of this system with the liquid-gas system and study its critical point, which occurs at the point of divergence of specific heat at constant pressure. We calculate the critical exponents and show that they coincide with those of the Van der Waals system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0559","kind":"arxiv","version":2},"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":"2026-05-18T01:57:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fXrYNNt30SsIIZyetgiPfc53OwuII67nxKWrBfoKYcIlfUm+2hxCOMefpg3pA4TP1is8cGbmSRZLHxIYvnRXBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T23:25:12.798725Z"},"content_sha256":"a9570ef1a25832cff427bc482b7f08ab18d6dcd9f23637b26b62eda313ba23dc","schema_version":"1.0","event_id":"sha256:a9570ef1a25832cff427bc482b7f08ab18d6dcd9f23637b26b62eda313ba23dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EDHEY3RLRROEWQVPUX7TQ4DNMS/bundle.json","state_url":"https://pith.science/pith/EDHEY3RLRROEWQVPUX7TQ4DNMS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EDHEY3RLRROEWQVPUX7TQ4DNMS/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":"2026-05-19T23:25:12Z","links":{"resolver":"https://pith.science/pith/EDHEY3RLRROEWQVPUX7TQ4DNMS","bundle":"https://pith.science/pith/EDHEY3RLRROEWQVPUX7TQ4DNMS/bundle.json","state":"https://pith.science/pith/EDHEY3RLRROEWQVPUX7TQ4DNMS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EDHEY3RLRROEWQVPUX7TQ4DNMS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EDHEY3RLRROEWQVPUX7TQ4DNMS","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":"0b275599f07d2ddea6611186984d19d89d891f67a6274ba6a6a46c298969c726","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-02T20:09:25Z","title_canon_sha256":"cdc9a7cfb41898768c2ec979dda5ddb2f938232ab8c15786f228cf50f5c28da9"},"schema_version":"1.0","source":{"id":"1205.0559","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0559","created_at":"2026-05-18T01:57:38Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0559v2","created_at":"2026-05-18T01:57:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0559","created_at":"2026-05-18T01:57:38Z"},{"alias_kind":"pith_short_12","alias_value":"EDHEY3RLRROE","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EDHEY3RLRROEWQVP","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EDHEY3RL","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:a9570ef1a25832cff427bc482b7f08ab18d6dcd9f23637b26b62eda313ba23dc","target":"graph","created_at":"2026-05-18T01:57:38Z","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":"Treating the cosmological constant as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we reconsider the critical behaviour of charged AdS black holes. We complete the analogy of this system with the liquid-gas system and study its critical point, which occurs at the point of divergence of specific heat at constant pressure. We calculate the critical exponents and show that they coincide with those of the Van der Waals system.","authors_text":"David Kubiznak, Robert B. Mann","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-02T20:09:25Z","title":"P-V criticality of charged AdS black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0559","kind":"arxiv","version":2},"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":"sha256:985ffbf9f132bccbc3eee5b702fefcf7a706990f3e9cbff82ccfd32717248d8f","target":"record","created_at":"2026-05-18T01:57:38Z","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":"0b275599f07d2ddea6611186984d19d89d891f67a6274ba6a6a46c298969c726","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-02T20:09:25Z","title_canon_sha256":"cdc9a7cfb41898768c2ec979dda5ddb2f938232ab8c15786f228cf50f5c28da9"},"schema_version":"1.0","source":{"id":"1205.0559","kind":"arxiv","version":2}},"canonical_sha256":"20ce4c6e2b8c5c4b42afa5ff38706d64a6cee02642d85a6e2578566d1c54abdf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20ce4c6e2b8c5c4b42afa5ff38706d64a6cee02642d85a6e2578566d1c54abdf","first_computed_at":"2026-05-18T01:57:38.733759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:38.733759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0kvtBQALTzTKB8j+WK6nUkS040oO3xh7GCZ8wqGSv1AVAaw3aUTw2ttWIBRgbyUEAwEPQWxTFXX4wOXAAp9yCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:38.734403Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.0559","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:985ffbf9f132bccbc3eee5b702fefcf7a706990f3e9cbff82ccfd32717248d8f","sha256:a9570ef1a25832cff427bc482b7f08ab18d6dcd9f23637b26b62eda313ba23dc"],"state_sha256":"0d40e68360795b46517544309aafa8b39a9c2529b222f1ae18292fcbbd524080"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sv3JtHWVTytuh74dPt4i8wwfPfP2AdWnZTP9JnvAh6RlAYg990LRouGztF67QKvG04f9L1iE/RJbU0QmtLhBDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T23:25:12.802295Z","bundle_sha256":"5d19d5a84d9796ae130fdb241408bb3d3437f3df23a46ac73982924452d13930"}}