{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:O6WFGIHWAQ2Q3I472UEZXIPWS7","short_pith_number":"pith:O6WFGIHW","canonical_record":{"source":{"id":"0904.2765","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-17T19:07:41Z","cross_cats_sorted":[],"title_canon_sha256":"5f95f9058cea3eff43f8336ec22212ff53344db9d0ed59dfb19dff26a1fd8573","abstract_canon_sha256":"426543bd09252dcbe038113d1ffe6091be45edb92427ce9df5a8089c31c6c338"},"schema_version":"1.0"},"canonical_sha256":"77ac5320f604350da39fd5099ba1f697ff17670152913a3c5bfcbe32de8697dc","source":{"kind":"arxiv","id":"0904.2765","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.2765","created_at":"2026-07-04T17:27:04Z"},{"alias_kind":"arxiv_version","alias_value":"0904.2765v2","created_at":"2026-07-04T17:27:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.2765","created_at":"2026-07-04T17:27:04Z"},{"alias_kind":"pith_short_12","alias_value":"O6WFGIHWAQ2Q","created_at":"2026-07-04T17:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"O6WFGIHWAQ2Q3I47","created_at":"2026-07-04T17:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"O6WFGIHW","created_at":"2026-07-04T17:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:O6WFGIHWAQ2Q3I472UEZXIPWS7","target":"record","payload":{"canonical_record":{"source":{"id":"0904.2765","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-17T19:07:41Z","cross_cats_sorted":[],"title_canon_sha256":"5f95f9058cea3eff43f8336ec22212ff53344db9d0ed59dfb19dff26a1fd8573","abstract_canon_sha256":"426543bd09252dcbe038113d1ffe6091be45edb92427ce9df5a8089c31c6c338"},"schema_version":"1.0"},"canonical_sha256":"77ac5320f604350da39fd5099ba1f697ff17670152913a3c5bfcbe32de8697dc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:27:04.257978Z","signature_b64":"E6qCV+9lUHcKpYZTFtivjyyuxBnwvKhq1fV5BluTFo6ioOCGSNs2iBqtytAOoqVz6Houe2EFUwdiuNkKRoobAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77ac5320f604350da39fd5099ba1f697ff17670152913a3c5bfcbe32de8697dc","last_reissued_at":"2026-07-04T17:27:04.257581Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:27:04.257581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0904.2765","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":"2026-07-04T17:27:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+htwx7XMqhu9FCz8OIeZ6f4oiLBdlxzQzbf9glscj1Qgl177cp+qoXMpnk2tRLBozHBKKwsC0T6nxpP1Zmf2BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T06:49:32.422254Z"},"content_sha256":"70e836344d8360f119aad7ac18655aac07bc98d350adcedde6e41fd2763cb5e7","schema_version":"1.0","event_id":"sha256:70e836344d8360f119aad7ac18655aac07bc98d350adcedde6e41fd2763cb5e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:O6WFGIHWAQ2Q3I472UEZXIPWS7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Enthalpy and the Mechanics of AdS Black Holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"David Kastor, Jennie Traschen, Sourya Ray","submitted_at":"2009-04-17T19:07:41Z","abstract_excerpt":"We present geometric derivations of the Smarr formula for static AdS black holes and an expanded first law that includes variations in the cosmological constant. These two results are further related by a scaling argument based on Euler's theorem. The key new ingredient in the constructions is a two-form potential for the static Killing field. Surface integrals of the Killing potential determine the coefficient of the variation of the cosmological constant in the first law. This coefficient is proportional to a finite, effective volume for the region outside the AdS black hole horizon, which c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.2765","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/0904.2765/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":"2026-07-04T17:27:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V7c2XDds2LqV41MyhgD/LeL0cC2gKie8ZiRcrKQpOSrZb5EOlrrYJVlzwP6bbpA7UzStvTVc1xMhQ+1wl983CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T06:49:32.422650Z"},"content_sha256":"1d61040f00e44f4f2885519a9a968c3bbb84ca40bb5ea1ba96f5c6d0f6a0f02b","schema_version":"1.0","event_id":"sha256:1d61040f00e44f4f2885519a9a968c3bbb84ca40bb5ea1ba96f5c6d0f6a0f02b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O6WFGIHWAQ2Q3I472UEZXIPWS7/bundle.json","state_url":"https://pith.science/pith/O6WFGIHWAQ2Q3I472UEZXIPWS7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O6WFGIHWAQ2Q3I472UEZXIPWS7/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":"2026-07-10T06:49:32Z","links":{"resolver":"https://pith.science/pith/O6WFGIHWAQ2Q3I472UEZXIPWS7","bundle":"https://pith.science/pith/O6WFGIHWAQ2Q3I472UEZXIPWS7/bundle.json","state":"https://pith.science/pith/O6WFGIHWAQ2Q3I472UEZXIPWS7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O6WFGIHWAQ2Q3I472UEZXIPWS7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:O6WFGIHWAQ2Q3I472UEZXIPWS7","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":"426543bd09252dcbe038113d1ffe6091be45edb92427ce9df5a8089c31c6c338","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-17T19:07:41Z","title_canon_sha256":"5f95f9058cea3eff43f8336ec22212ff53344db9d0ed59dfb19dff26a1fd8573"},"schema_version":"1.0","source":{"id":"0904.2765","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.2765","created_at":"2026-07-04T17:27:04Z"},{"alias_kind":"arxiv_version","alias_value":"0904.2765v2","created_at":"2026-07-04T17:27:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.2765","created_at":"2026-07-04T17:27:04Z"},{"alias_kind":"pith_short_12","alias_value":"O6WFGIHWAQ2Q","created_at":"2026-07-04T17:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"O6WFGIHWAQ2Q3I47","created_at":"2026-07-04T17:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"O6WFGIHW","created_at":"2026-07-04T17:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:1d61040f00e44f4f2885519a9a968c3bbb84ca40bb5ea1ba96f5c6d0f6a0f02b","target":"graph","created_at":"2026-07-04T17:27:04Z","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/0904.2765/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present geometric derivations of the Smarr formula for static AdS black holes and an expanded first law that includes variations in the cosmological constant. These two results are further related by a scaling argument based on Euler's theorem. The key new ingredient in the constructions is a two-form potential for the static Killing field. Surface integrals of the Killing potential determine the coefficient of the variation of the cosmological constant in the first law. This coefficient is proportional to a finite, effective volume for the region outside the AdS black hole horizon, which c","authors_text":"David Kastor, Jennie Traschen, Sourya Ray","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-17T19:07:41Z","title":"Enthalpy and the Mechanics of AdS Black Holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.2765","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":"sha256:70e836344d8360f119aad7ac18655aac07bc98d350adcedde6e41fd2763cb5e7","target":"record","created_at":"2026-07-04T17:27:04Z","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":"426543bd09252dcbe038113d1ffe6091be45edb92427ce9df5a8089c31c6c338","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-17T19:07:41Z","title_canon_sha256":"5f95f9058cea3eff43f8336ec22212ff53344db9d0ed59dfb19dff26a1fd8573"},"schema_version":"1.0","source":{"id":"0904.2765","kind":"arxiv","version":2}},"canonical_sha256":"77ac5320f604350da39fd5099ba1f697ff17670152913a3c5bfcbe32de8697dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77ac5320f604350da39fd5099ba1f697ff17670152913a3c5bfcbe32de8697dc","first_computed_at":"2026-07-04T17:27:04.257581Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:27:04.257581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E6qCV+9lUHcKpYZTFtivjyyuxBnwvKhq1fV5BluTFo6ioOCGSNs2iBqtytAOoqVz6Houe2EFUwdiuNkKRoobAw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:27:04.257978Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.2765","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70e836344d8360f119aad7ac18655aac07bc98d350adcedde6e41fd2763cb5e7","sha256:1d61040f00e44f4f2885519a9a968c3bbb84ca40bb5ea1ba96f5c6d0f6a0f02b"],"state_sha256":"a9a9b98b7b896aa52142f91457b32cb5ac006d4b9396d23731c10249ce7b266f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SUj5KQ93PCcGY51BaNU0L48x9lFQWsY78CkfvuzcAWrwQTBWe1DDuYN+NOGPv2VQq6nLgpp75r3oGHhgE1k3DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-10T06:49:32.424693Z","bundle_sha256":"5f4920411f5a3a7019100d863f96fd04b7e21ee40bfacaa81c7bc4a8726b3b1a"}}