{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ERVE5SKZDAJPKQGP6X3HXUR3IG","short_pith_number":"pith:ERVE5SKZ","canonical_record":{"source":{"id":"1401.2586","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-12T02:45:03Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"e723b02483eb38da8d31de448c0efd13b3f0c680b8470567895c4510c9469bf5","abstract_canon_sha256":"d5bf63a866d4d7146825b5e01cf82e5ad5918ba412abb8e12680bac5c2ac87a9"},"schema_version":"1.0"},"canonical_sha256":"246a4ec9591812f540cff5f67bd23b418f8b36f7202daf0cf1def9084e369304","source":{"kind":"arxiv","id":"1401.2586","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2586","created_at":"2026-05-18T03:01:01Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2586v1","created_at":"2026-05-18T03:01:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2586","created_at":"2026-05-18T03:01:01Z"},{"alias_kind":"pith_short_12","alias_value":"ERVE5SKZDAJP","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"ERVE5SKZDAJPKQGP","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"ERVE5SKZ","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ERVE5SKZDAJPKQGP6X3HXUR3IG","target":"record","payload":{"canonical_record":{"source":{"id":"1401.2586","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-12T02:45:03Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"e723b02483eb38da8d31de448c0efd13b3f0c680b8470567895c4510c9469bf5","abstract_canon_sha256":"d5bf63a866d4d7146825b5e01cf82e5ad5918ba412abb8e12680bac5c2ac87a9"},"schema_version":"1.0"},"canonical_sha256":"246a4ec9591812f540cff5f67bd23b418f8b36f7202daf0cf1def9084e369304","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:01.916493Z","signature_b64":"TwKL9dTzDNO2/qORbYfshPXlpNehJfW09DYrSfFu/QL6ceyB2u+RZAu2zUdcaevMNLH9RGME2jjiltvOJmP6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"246a4ec9591812f540cff5f67bd23b418f8b36f7202daf0cf1def9084e369304","last_reissued_at":"2026-05-18T03:01:01.915740Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:01.915740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.2586","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":"2026-05-18T03:01:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KLj1fX76dU6V7/iR0xqpSr+hogiyhU626ZOimQCHyePJ9P0OF3EykW+cygF3GVzrO19DxkGBiRP+rsDP2kcWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T11:52:14.731547Z"},"content_sha256":"4529afad14ae685cd2952056df6ecf0525bc6c293f07b09d65323341209b2446","schema_version":"1.0","event_id":"sha256:4529afad14ae685cd2952056df6ecf0525bc6c293f07b09d65323341209b2446"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ERVE5SKZDAJPKQGP6X3HXUR3IG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamics of rotating black holes and black rings: phase transitions and thermodynamic volume","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"David Kubiznak, Natacha Altamirano, Robert B. Mann, Zeinab Sherkatghanad","submitted_at":"2014-01-12T02:45:03Z","abstract_excerpt":"In this review we summarize, expand, and set in context recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in its own right. We specifically consider the thermodynamics of higher-dimensional rotating asymptotically flat and AdS black holes and black rings in a canonical (fixed angular momentum) ensemble. We plot the associated thermodynamic potential-the Gibbs free energy-and study its behaviour to uncover possible thermodynamic phase transitions in th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2586","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":"2026-05-18T03:01:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wCr+jTQSUn1TOGb1ThgZbkIMNe0Cz2L9A7xQqjsRNUi1SZu590zZUNJCWl4EUMrLhCjUN7VlrUflhGnUyawuDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T11:52:14.732219Z"},"content_sha256":"64e8cffa126ada2d00bdfe144c69084d6a4037cba481d842842ae4da1ddf0b85","schema_version":"1.0","event_id":"sha256:64e8cffa126ada2d00bdfe144c69084d6a4037cba481d842842ae4da1ddf0b85"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ERVE5SKZDAJPKQGP6X3HXUR3IG/bundle.json","state_url":"https://pith.science/pith/ERVE5SKZDAJPKQGP6X3HXUR3IG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ERVE5SKZDAJPKQGP6X3HXUR3IG/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":"2026-06-10T11:52:14Z","links":{"resolver":"https://pith.science/pith/ERVE5SKZDAJPKQGP6X3HXUR3IG","bundle":"https://pith.science/pith/ERVE5SKZDAJPKQGP6X3HXUR3IG/bundle.json","state":"https://pith.science/pith/ERVE5SKZDAJPKQGP6X3HXUR3IG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ERVE5SKZDAJPKQGP6X3HXUR3IG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ERVE5SKZDAJPKQGP6X3HXUR3IG","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":"d5bf63a866d4d7146825b5e01cf82e5ad5918ba412abb8e12680bac5c2ac87a9","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-12T02:45:03Z","title_canon_sha256":"e723b02483eb38da8d31de448c0efd13b3f0c680b8470567895c4510c9469bf5"},"schema_version":"1.0","source":{"id":"1401.2586","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2586","created_at":"2026-05-18T03:01:01Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2586v1","created_at":"2026-05-18T03:01:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2586","created_at":"2026-05-18T03:01:01Z"},{"alias_kind":"pith_short_12","alias_value":"ERVE5SKZDAJP","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"ERVE5SKZDAJPKQGP","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"ERVE5SKZ","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:64e8cffa126ada2d00bdfe144c69084d6a4037cba481d842842ae4da1ddf0b85","target":"graph","created_at":"2026-05-18T03:01:01Z","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":"In this review we summarize, expand, and set in context recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in its own right. We specifically consider the thermodynamics of higher-dimensional rotating asymptotically flat and AdS black holes and black rings in a canonical (fixed angular momentum) ensemble. We plot the associated thermodynamic potential-the Gibbs free energy-and study its behaviour to uncover possible thermodynamic phase transitions in th","authors_text":"David Kubiznak, Natacha Altamirano, Robert B. Mann, Zeinab Sherkatghanad","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-12T02:45:03Z","title":"Thermodynamics of rotating black holes and black rings: phase transitions and thermodynamic volume"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2586","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":"sha256:4529afad14ae685cd2952056df6ecf0525bc6c293f07b09d65323341209b2446","target":"record","created_at":"2026-05-18T03:01:01Z","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":"d5bf63a866d4d7146825b5e01cf82e5ad5918ba412abb8e12680bac5c2ac87a9","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-12T02:45:03Z","title_canon_sha256":"e723b02483eb38da8d31de448c0efd13b3f0c680b8470567895c4510c9469bf5"},"schema_version":"1.0","source":{"id":"1401.2586","kind":"arxiv","version":1}},"canonical_sha256":"246a4ec9591812f540cff5f67bd23b418f8b36f7202daf0cf1def9084e369304","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"246a4ec9591812f540cff5f67bd23b418f8b36f7202daf0cf1def9084e369304","first_computed_at":"2026-05-18T03:01:01.915740Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:01.915740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TwKL9dTzDNO2/qORbYfshPXlpNehJfW09DYrSfFu/QL6ceyB2u+RZAu2zUdcaevMNLH9RGME2jjiltvOJmP6Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:01.916493Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.2586","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4529afad14ae685cd2952056df6ecf0525bc6c293f07b09d65323341209b2446","sha256:64e8cffa126ada2d00bdfe144c69084d6a4037cba481d842842ae4da1ddf0b85"],"state_sha256":"32c2b6025779c8f5e74b8fdec5751a1ef168a97d75d007c20cd884a1d6eac246"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MvdWEcMTjdGDeric8GcWwC98whmkIrmnOnIBJx7/dflOjgxVEVBmfx/ALe85AUWbSxyp7ALTRPfCo8NYFODjDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T11:52:14.736590Z","bundle_sha256":"15422935f1af7cf582928159e161b5f3b5aa9925057239d84bbc09a8cfff61c5"}}