{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PSTXXWNI7BRHHU2673DFMWUWM3","short_pith_number":"pith:PSTXXWNI","schema_version":"1.0","canonical_sha256":"7ca77bd9a8f86273d35efec6565a9666c22e0b9eab1df631e48b01eca20ff1c6","source":{"kind":"arxiv","id":"1610.03648","version":1},"attestation_state":"computed","paper":{"title":"Coexistent physics of massive black holes in the phase transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ming Zhang, Wen-Biao Liu","submitted_at":"2016-10-12T09:33:24Z","abstract_excerpt":"The coexistent physics of de Rham-Gabada-dze-Tolley (dRGT) massive black holes and holographic massive black holes is investigated in the extended phase space where the cosmological constant is viewed as pressure. Van der Waals like phase transitions are found for both of them. Coexistent curves of reduced pressure and reduced temperature are found to be different from that of RN-AdS black holes. Coexistent curves of reduced Gibbs free energy and reduced pressure show that Gibbs free energy in the canonical ensemble decreases monotonically with the increasing pressure. The concept number densi"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1610.03648","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-12T09:33:24Z","cross_cats_sorted":[],"title_canon_sha256":"406d269d9a14a95903d532546c6142ba1a81ddbf53b30481847b1c1b09592bcb","abstract_canon_sha256":"3408fdab40f9339ad28c40510d349a47fa70cee940fb8602eb938ca09456f127"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:29.648238Z","signature_b64":"kqF+e8pGDdIgdOEwWPEeR7mIHt2nlSnIXHCYzMs4doy3SvLep9OSY4L6zfY7R4cZApvCtdhfNQAWgHK8nu1/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ca77bd9a8f86273d35efec6565a9666c22e0b9eab1df631e48b01eca20ff1c6","last_reissued_at":"2026-05-18T01:02:29.647641Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:29.647641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coexistent physics of massive black holes in the phase transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ming Zhang, Wen-Biao Liu","submitted_at":"2016-10-12T09:33:24Z","abstract_excerpt":"The coexistent physics of de Rham-Gabada-dze-Tolley (dRGT) massive black holes and holographic massive black holes is investigated in the extended phase space where the cosmological constant is viewed as pressure. Van der Waals like phase transitions are found for both of them. Coexistent curves of reduced pressure and reduced temperature are found to be different from that of RN-AdS black holes. Coexistent curves of reduced Gibbs free energy and reduced pressure show that Gibbs free energy in the canonical ensemble decreases monotonically with the increasing pressure. The concept number densi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03648","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1610.03648","created_at":"2026-05-18T01:02:29.647733+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.03648v1","created_at":"2026-05-18T01:02:29.647733+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03648","created_at":"2026-05-18T01:02:29.647733+00:00"},{"alias_kind":"pith_short_12","alias_value":"PSTXXWNI7BRH","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"PSTXXWNI7BRHHU26","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"PSTXXWNI","created_at":"2026-05-18T12:30:39.010887+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2308.14875","citing_title":"Thermodynamics and the Joule-Thomson expansion of dilaton black holes in 2+1 dimensions","ref_index":15,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PSTXXWNI7BRHHU2673DFMWUWM3","json":"https://pith.science/pith/PSTXXWNI7BRHHU2673DFMWUWM3.json","graph_json":"https://pith.science/api/pith-number/PSTXXWNI7BRHHU2673DFMWUWM3/graph.json","events_json":"https://pith.science/api/pith-number/PSTXXWNI7BRHHU2673DFMWUWM3/events.json","paper":"https://pith.science/paper/PSTXXWNI"},"agent_actions":{"view_html":"https://pith.science/pith/PSTXXWNI7BRHHU2673DFMWUWM3","download_json":"https://pith.science/pith/PSTXXWNI7BRHHU2673DFMWUWM3.json","view_paper":"https://pith.science/paper/PSTXXWNI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.03648&json=true","fetch_graph":"https://pith.science/api/pith-number/PSTXXWNI7BRHHU2673DFMWUWM3/graph.json","fetch_events":"https://pith.science/api/pith-number/PSTXXWNI7BRHHU2673DFMWUWM3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PSTXXWNI7BRHHU2673DFMWUWM3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PSTXXWNI7BRHHU2673DFMWUWM3/action/storage_attestation","attest_author":"https://pith.science/pith/PSTXXWNI7BRHHU2673DFMWUWM3/action/author_attestation","sign_citation":"https://pith.science/pith/PSTXXWNI7BRHHU2673DFMWUWM3/action/citation_signature","submit_replication":"https://pith.science/pith/PSTXXWNI7BRHHU2673DFMWUWM3/action/replication_record"}},"created_at":"2026-05-18T01:02:29.647733+00:00","updated_at":"2026-05-18T01:02:29.647733+00:00"}