{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QSMB72PZDXVG4J7M62OWTTXWWR","short_pith_number":"pith:QSMB72PZ","canonical_record":{"source":{"id":"1602.03066","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-08T15:37:27Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"ae4aef36976f6c16a08ac0323275e1380665d53c139a9bc66b23f307b46b771c","abstract_canon_sha256":"dc5abd261d42ba811261c64801cdc9ab03e54084407e85a0a0dd104aa3e078c6"},"schema_version":"1.0"},"canonical_sha256":"84981fe9f91dea6e27ecf69d69cef6b46235a006c0cf24fe39c4d2fbe0259d57","source":{"kind":"arxiv","id":"1602.03066","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.03066","created_at":"2026-05-18T01:12:34Z"},{"alias_kind":"arxiv_version","alias_value":"1602.03066v2","created_at":"2026-05-18T01:12:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03066","created_at":"2026-05-18T01:12:34Z"},{"alias_kind":"pith_short_12","alias_value":"QSMB72PZDXVG","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QSMB72PZDXVG4J7M","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QSMB72PZ","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QSMB72PZDXVG4J7M62OWTTXWWR","target":"record","payload":{"canonical_record":{"source":{"id":"1602.03066","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-08T15:37:27Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"ae4aef36976f6c16a08ac0323275e1380665d53c139a9bc66b23f307b46b771c","abstract_canon_sha256":"dc5abd261d42ba811261c64801cdc9ab03e54084407e85a0a0dd104aa3e078c6"},"schema_version":"1.0"},"canonical_sha256":"84981fe9f91dea6e27ecf69d69cef6b46235a006c0cf24fe39c4d2fbe0259d57","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:34.503360Z","signature_b64":"v/kO9uPQ8Nxhj8x9/33MuXbqf3GGznofP2YwPeD3wRvZnEBf5gh69tMalQlvX73i6NzWh/FFPpc31QwGJCFdAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84981fe9f91dea6e27ecf69d69cef6b46235a006c0cf24fe39c4d2fbe0259d57","last_reissued_at":"2026-05-18T01:12:34.502713Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:34.502713Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.03066","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":"2026-05-18T01:12:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"thQggNYpoufFn7ehwkehkzg5O91Y9/F0ZIpxNhjtBhbvmIHASAD9mIyVylXXu7rETRyrODSZAOeID6ZRAtsiDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T22:45:08.077540Z"},"content_sha256":"21887239d28a656f1a06a3cd6787070a3c630c5efe1d2518605575a1728b8833","schema_version":"1.0","event_id":"sha256:21887239d28a656f1a06a3cd6787070a3c630c5efe1d2518605575a1728b8833"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QSMB72PZDXVG4J7M62OWTTXWWR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extrinsic and intrinsic curvatures in thermodynamic geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th"],"primary_cat":"gr-qc","authors_text":"Behrouz Mirza, Elham Sharifian, Seyed Ali Hosseini Mansoori","submitted_at":"2016-02-08T15:37:27Z","abstract_excerpt":"We investigate the intrinsic and extrinsic curvatures of certain hypersurfaces in the thermodynamic geometry of a physical system and show that they contain useful thermodynamic information. For an anti-Reissner-Nordstr\\\"{o}m-(A)de Sitter black hole (Phantom), the extrinsic curvature of a constant $Q$ hypersurface has the same sign as the heat capacity around the phase transition points. For a Kerr-Newmann-AdS (KN-AdS) black hole, the extrinsic curvature of $Q \\to 0$ hypersurface (Kerr black hole) or $J \\to 0$ hypersurface (RN black black hole) has the same sign as the heat capacity around the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03066","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":"2026-05-18T01:12:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mw5SAnnrxtYjik4UOT+dPgDa716+Le3thZbY1ByPyflilVZqw4MeRw1TB3/2tRwCdZ8lxO6hGQ77vS5Vq9z6CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T22:45:08.077890Z"},"content_sha256":"35e926a5a55684894f8d8dda678bef8ed12b91ee24280c0c640492710b83a50d","schema_version":"1.0","event_id":"sha256:35e926a5a55684894f8d8dda678bef8ed12b91ee24280c0c640492710b83a50d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QSMB72PZDXVG4J7M62OWTTXWWR/bundle.json","state_url":"https://pith.science/pith/QSMB72PZDXVG4J7M62OWTTXWWR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QSMB72PZDXVG4J7M62OWTTXWWR/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":"2026-06-25T22:45:08Z","links":{"resolver":"https://pith.science/pith/QSMB72PZDXVG4J7M62OWTTXWWR","bundle":"https://pith.science/pith/QSMB72PZDXVG4J7M62OWTTXWWR/bundle.json","state":"https://pith.science/pith/QSMB72PZDXVG4J7M62OWTTXWWR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QSMB72PZDXVG4J7M62OWTTXWWR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QSMB72PZDXVG4J7M62OWTTXWWR","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":"dc5abd261d42ba811261c64801cdc9ab03e54084407e85a0a0dd104aa3e078c6","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-08T15:37:27Z","title_canon_sha256":"ae4aef36976f6c16a08ac0323275e1380665d53c139a9bc66b23f307b46b771c"},"schema_version":"1.0","source":{"id":"1602.03066","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.03066","created_at":"2026-05-18T01:12:34Z"},{"alias_kind":"arxiv_version","alias_value":"1602.03066v2","created_at":"2026-05-18T01:12:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03066","created_at":"2026-05-18T01:12:34Z"},{"alias_kind":"pith_short_12","alias_value":"QSMB72PZDXVG","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QSMB72PZDXVG4J7M","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QSMB72PZ","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:35e926a5a55684894f8d8dda678bef8ed12b91ee24280c0c640492710b83a50d","target":"graph","created_at":"2026-05-18T01:12:34Z","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 investigate the intrinsic and extrinsic curvatures of certain hypersurfaces in the thermodynamic geometry of a physical system and show that they contain useful thermodynamic information. For an anti-Reissner-Nordstr\\\"{o}m-(A)de Sitter black hole (Phantom), the extrinsic curvature of a constant $Q$ hypersurface has the same sign as the heat capacity around the phase transition points. For a Kerr-Newmann-AdS (KN-AdS) black hole, the extrinsic curvature of $Q \\to 0$ hypersurface (Kerr black hole) or $J \\to 0$ hypersurface (RN black black hole) has the same sign as the heat capacity around the","authors_text":"Behrouz Mirza, Elham Sharifian, Seyed Ali Hosseini Mansoori","cross_cats":["cond-mat.stat-mech","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-08T15:37:27Z","title":"Extrinsic and intrinsic curvatures in thermodynamic geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03066","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":"sha256:21887239d28a656f1a06a3cd6787070a3c630c5efe1d2518605575a1728b8833","target":"record","created_at":"2026-05-18T01:12:34Z","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":"dc5abd261d42ba811261c64801cdc9ab03e54084407e85a0a0dd104aa3e078c6","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-08T15:37:27Z","title_canon_sha256":"ae4aef36976f6c16a08ac0323275e1380665d53c139a9bc66b23f307b46b771c"},"schema_version":"1.0","source":{"id":"1602.03066","kind":"arxiv","version":2}},"canonical_sha256":"84981fe9f91dea6e27ecf69d69cef6b46235a006c0cf24fe39c4d2fbe0259d57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84981fe9f91dea6e27ecf69d69cef6b46235a006c0cf24fe39c4d2fbe0259d57","first_computed_at":"2026-05-18T01:12:34.502713Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:34.502713Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v/kO9uPQ8Nxhj8x9/33MuXbqf3GGznofP2YwPeD3wRvZnEBf5gh69tMalQlvX73i6NzWh/FFPpc31QwGJCFdAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:34.503360Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.03066","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21887239d28a656f1a06a3cd6787070a3c630c5efe1d2518605575a1728b8833","sha256:35e926a5a55684894f8d8dda678bef8ed12b91ee24280c0c640492710b83a50d"],"state_sha256":"276ab2450c148487a283b68e585d78c13344ac0ea57fa7dd839b3a767d55a5b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sYIhCtOk78Im7CIfXQWlTVqPLTor6PVCrYQy5EEu9zfU/Wlcx5O2tafIOR5CkRD0Plg5OBaG8vkiD1Uzq8y9Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T22:45:08.079747Z","bundle_sha256":"bd986bffc12291185402c59bd5c12cb970194bd6d8bc7505b85cdfddf20bd32c"}}