{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:Q6VPNLLRGBO5NHDYVVM3THBDDV","short_pith_number":"pith:Q6VPNLLR","canonical_record":{"source":{"id":"2006.14349","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-06-25T12:46:50Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"23d749de64866ee0d6375c755d9d2d272289003afdcb2cb42953c27f3fc24dfd","abstract_canon_sha256":"3f057c8ccc104ebcb0fb9d404672549f4412e0873e3730649fdda87db39c5cb9"},"schema_version":"1.0"},"canonical_sha256":"87aaf6ad71305dd69c78ad59b99c231d79e202f51709defd992528e4469e748b","source":{"kind":"arxiv","id":"2006.14349","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.14349","created_at":"2026-07-05T01:46:57Z"},{"alias_kind":"arxiv_version","alias_value":"2006.14349v2","created_at":"2026-07-05T01:46:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.14349","created_at":"2026-07-05T01:46:57Z"},{"alias_kind":"pith_short_12","alias_value":"Q6VPNLLRGBO5","created_at":"2026-07-05T01:46:57Z"},{"alias_kind":"pith_short_16","alias_value":"Q6VPNLLRGBO5NHDY","created_at":"2026-07-05T01:46:57Z"},{"alias_kind":"pith_short_8","alias_value":"Q6VPNLLR","created_at":"2026-07-05T01:46:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:Q6VPNLLRGBO5NHDYVVM3THBDDV","target":"record","payload":{"canonical_record":{"source":{"id":"2006.14349","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-06-25T12:46:50Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"23d749de64866ee0d6375c755d9d2d272289003afdcb2cb42953c27f3fc24dfd","abstract_canon_sha256":"3f057c8ccc104ebcb0fb9d404672549f4412e0873e3730649fdda87db39c5cb9"},"schema_version":"1.0"},"canonical_sha256":"87aaf6ad71305dd69c78ad59b99c231d79e202f51709defd992528e4469e748b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:46:57.658592Z","signature_b64":"UhMq5ZUGfeuiBDIpFZyhnBlU6bjrHwZ155NloBSug/nMHSVFPTzaRuQ+kPHU+Bv+k88eNNvqUn//j1dtNTFjBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87aaf6ad71305dd69c78ad59b99c231d79e202f51709defd992528e4469e748b","last_reissued_at":"2026-07-05T01:46:57.658058Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:46:57.658058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.14349","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":"2026-07-05T01:46:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3jQDvrkVkOT+UgPcaGZkIHSOOBz+q+KMihAwN4xkxdTg3mGLsDDl6qQz7v8QNn+ITKaMnJWF/TJQnLBJMHOrDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:39:56.011113Z"},"content_sha256":"0adcacd8d11aaf5527a01e7b84952a4c516a6d22cd1a8302f03231f2a5c91128","schema_version":"1.0","event_id":"sha256:0adcacd8d11aaf5527a01e7b84952a4c516a6d22cd1a8302f03231f2a5c91128"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:Q6VPNLLRGBO5NHDYVVM3THBDDV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extended Phase Space Thermodynamics for Black Holes in a Cavity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Feiyu Yao, Haitang Yang, Houwen Wu, Peng Wang","submitted_at":"2020-06-25T12:46:50Z","abstract_excerpt":"In this paper, we extend the phase space of black holes enclosed by a spherical cavity of radius $r_{B}$ to include $V\\equiv4\\pi r_{B}^{3}/3$ as a thermodynamic volume. The thermodynamic behavior of Schwarzschild and Reissner-Nordstrom (RN) black holes is then investigated in the extended phase space. In a canonical ensemble at constant pressure, we find that the aforementioned thermodynamic behavior is remarkably similar to that of the anti-de Sitter (AdS) counterparts with the cosmological constant being interpreted as a pressure. Specifically, a first-order Hawking-Page-like phase transitio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.14349","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2006.14349/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:46:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7PkEKK2cil9JfrkjaClpE4oQax1Rn4SCpWY3pdHU+/6KHF/cLzCQFy2Ws+439BwnTK/pySmFVcjLVWmpdgGMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:39:56.011730Z"},"content_sha256":"a2b25d86b4ee4ac919f144cdb5feb906cacea168878623f421247d11dc12bd5e","schema_version":"1.0","event_id":"sha256:a2b25d86b4ee4ac919f144cdb5feb906cacea168878623f421247d11dc12bd5e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q6VPNLLRGBO5NHDYVVM3THBDDV/bundle.json","state_url":"https://pith.science/pith/Q6VPNLLRGBO5NHDYVVM3THBDDV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q6VPNLLRGBO5NHDYVVM3THBDDV/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":"2026-08-04T18:39:56Z","links":{"resolver":"https://pith.science/pith/Q6VPNLLRGBO5NHDYVVM3THBDDV","bundle":"https://pith.science/pith/Q6VPNLLRGBO5NHDYVVM3THBDDV/bundle.json","state":"https://pith.science/pith/Q6VPNLLRGBO5NHDYVVM3THBDDV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q6VPNLLRGBO5NHDYVVM3THBDDV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:Q6VPNLLRGBO5NHDYVVM3THBDDV","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":"3f057c8ccc104ebcb0fb9d404672549f4412e0873e3730649fdda87db39c5cb9","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-06-25T12:46:50Z","title_canon_sha256":"23d749de64866ee0d6375c755d9d2d272289003afdcb2cb42953c27f3fc24dfd"},"schema_version":"1.0","source":{"id":"2006.14349","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.14349","created_at":"2026-07-05T01:46:57Z"},{"alias_kind":"arxiv_version","alias_value":"2006.14349v2","created_at":"2026-07-05T01:46:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.14349","created_at":"2026-07-05T01:46:57Z"},{"alias_kind":"pith_short_12","alias_value":"Q6VPNLLRGBO5","created_at":"2026-07-05T01:46:57Z"},{"alias_kind":"pith_short_16","alias_value":"Q6VPNLLRGBO5NHDY","created_at":"2026-07-05T01:46:57Z"},{"alias_kind":"pith_short_8","alias_value":"Q6VPNLLR","created_at":"2026-07-05T01:46:57Z"}],"graph_snapshots":[{"event_id":"sha256:a2b25d86b4ee4ac919f144cdb5feb906cacea168878623f421247d11dc12bd5e","target":"graph","created_at":"2026-07-05T01:46:57Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2006.14349/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we extend the phase space of black holes enclosed by a spherical cavity of radius $r_{B}$ to include $V\\equiv4\\pi r_{B}^{3}/3$ as a thermodynamic volume. The thermodynamic behavior of Schwarzschild and Reissner-Nordstrom (RN) black holes is then investigated in the extended phase space. In a canonical ensemble at constant pressure, we find that the aforementioned thermodynamic behavior is remarkably similar to that of the anti-de Sitter (AdS) counterparts with the cosmological constant being interpreted as a pressure. Specifically, a first-order Hawking-Page-like phase transitio","authors_text":"Feiyu Yao, Haitang Yang, Houwen Wu, Peng Wang","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-06-25T12:46:50Z","title":"Extended Phase Space Thermodynamics for Black Holes in a Cavity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.14349","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":"sha256:0adcacd8d11aaf5527a01e7b84952a4c516a6d22cd1a8302f03231f2a5c91128","target":"record","created_at":"2026-07-05T01:46:57Z","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":"3f057c8ccc104ebcb0fb9d404672549f4412e0873e3730649fdda87db39c5cb9","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-06-25T12:46:50Z","title_canon_sha256":"23d749de64866ee0d6375c755d9d2d272289003afdcb2cb42953c27f3fc24dfd"},"schema_version":"1.0","source":{"id":"2006.14349","kind":"arxiv","version":2}},"canonical_sha256":"87aaf6ad71305dd69c78ad59b99c231d79e202f51709defd992528e4469e748b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87aaf6ad71305dd69c78ad59b99c231d79e202f51709defd992528e4469e748b","first_computed_at":"2026-07-05T01:46:57.658058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:46:57.658058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UhMq5ZUGfeuiBDIpFZyhnBlU6bjrHwZ155NloBSug/nMHSVFPTzaRuQ+kPHU+Bv+k88eNNvqUn//j1dtNTFjBw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:46:57.658592Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.14349","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0adcacd8d11aaf5527a01e7b84952a4c516a6d22cd1a8302f03231f2a5c91128","sha256:a2b25d86b4ee4ac919f144cdb5feb906cacea168878623f421247d11dc12bd5e"],"state_sha256":"ff2769fe40bc661950782226814373389924caaf247d41bf1eb85e928add0415"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rRG3D57Cir2HGba0/dEc3/L0psgLCbQV5uig4423UrsKA/QDD3ub7oErBqLPc1BbevzbazhZwzidbeZWRCchAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T18:39:56.017275Z","bundle_sha256":"f06f4455146f79cbbe402959203e216db6debb60a490ababed76e3894714c6e0"}}