{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:BCQ253GLUJRNVMIZIHBILM4CYG","short_pith_number":"pith:BCQ253GL","canonical_record":{"source":{"id":"hep-th/9809167","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1998-09-22T13:14:50Z","cross_cats_sorted":[],"title_canon_sha256":"1e2e200dec72a114037585aa8deabdb0c2bdf00c83805f2c32ee402f87a41e8e","abstract_canon_sha256":"b9be66122e4e6682460cae9a02e03f700d5383bb41e34974d9509f7098c448f6"},"schema_version":"1.0"},"canonical_sha256":"08a1aeeccba262dab11941c285b382c18fdc685247788d5bebad7e2fd11acfd4","source":{"kind":"arxiv","id":"hep-th/9809167","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9809167","created_at":"2026-07-04T15:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9809167v1","created_at":"2026-07-04T15:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9809167","created_at":"2026-07-04T15:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"BCQ253GLUJRN","created_at":"2026-07-04T15:53:54Z"},{"alias_kind":"pith_short_16","alias_value":"BCQ253GLUJRNVMIZ","created_at":"2026-07-04T15:53:54Z"},{"alias_kind":"pith_short_8","alias_value":"BCQ253GL","created_at":"2026-07-04T15:53:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:BCQ253GLUJRNVMIZIHBILM4CYG","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9809167","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1998-09-22T13:14:50Z","cross_cats_sorted":[],"title_canon_sha256":"1e2e200dec72a114037585aa8deabdb0c2bdf00c83805f2c32ee402f87a41e8e","abstract_canon_sha256":"b9be66122e4e6682460cae9a02e03f700d5383bb41e34974d9509f7098c448f6"},"schema_version":"1.0"},"canonical_sha256":"08a1aeeccba262dab11941c285b382c18fdc685247788d5bebad7e2fd11acfd4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:53:54.157521Z","signature_b64":"Q4+4CkCP1DeQNshZ8hPb9i1qVTKc7iks5LWOJWLELewW9j/8dQ+wesz4pGYJv7u7YN9hvXQe6EPP554YoCRdBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08a1aeeccba262dab11941c285b382c18fdc685247788d5bebad7e2fd11acfd4","last_reissued_at":"2026-07-04T15:53:54.157117Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:53:54.157117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9809167","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":"2026-07-04T15:53:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MMWKF0hlsL0J3UF9Fpqb5IsxxbTGQ4iPvKH4usTz3keRU8rL0PVHAuGZyiqp4BCc1rItgPNGeifjwYWUv9wpCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:57:31.245393Z"},"content_sha256":"4cd55a8f8d141b07c4ea44fd2d150f02dc0841f490d5a047b98b2b9527f99ad2","schema_version":"1.0","event_id":"sha256:4cd55a8f8d141b07c4ea44fd2d150f02dc0841f490d5a047b98b2b9527f99ad2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:BCQ253GLUJRNVMIZIHBILM4CYG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some Comments on Gravitational Entropy and the Inverse Mean Curvature Flow","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"G W Gibbons","submitted_at":"1998-09-22T13:14:50Z","abstract_excerpt":"The Geroch-Wald-Jang-Huisken-Ilmanen approach to the positive energy problem to may be extended to give a negative lower bound for the mass of asymptotically Anti-de-Sitter spacetimes containing horizons with exotic topologies having ends or infinities of the form $\\Sigma_g \\times {\\Bbb R}$, in terms of the cosmological constant. We also show how the method gives a lower bound for for the mass of time-symmetric initial data sets for black holes with vectors and scalars in terms of the mass, $|Z(Q,P)|$ of the double extreme black hole with the same charges. I also give a lower bound for the are"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9809167","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9809167/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":"2026-07-04T15:53:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yNEvYDOOkd/GNQ+JZt+wJvTVlJpJxV/P72I3H97PNtxBlP2ZZHywss3vmiFhMHYTMfosKRbjnlSpC1fSNP51Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:57:31.245953Z"},"content_sha256":"cb94f339b295d2850e90ebcb3f077f33ea12961ca0662f4dccd2fb492106511c","schema_version":"1.0","event_id":"sha256:cb94f339b295d2850e90ebcb3f077f33ea12961ca0662f4dccd2fb492106511c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BCQ253GLUJRNVMIZIHBILM4CYG/bundle.json","state_url":"https://pith.science/pith/BCQ253GLUJRNVMIZIHBILM4CYG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BCQ253GLUJRNVMIZIHBILM4CYG/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":"2026-08-03T16:57:31Z","links":{"resolver":"https://pith.science/pith/BCQ253GLUJRNVMIZIHBILM4CYG","bundle":"https://pith.science/pith/BCQ253GLUJRNVMIZIHBILM4CYG/bundle.json","state":"https://pith.science/pith/BCQ253GLUJRNVMIZIHBILM4CYG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BCQ253GLUJRNVMIZIHBILM4CYG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:BCQ253GLUJRNVMIZIHBILM4CYG","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":"b9be66122e4e6682460cae9a02e03f700d5383bb41e34974d9509f7098c448f6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-09-22T13:14:50Z","title_canon_sha256":"1e2e200dec72a114037585aa8deabdb0c2bdf00c83805f2c32ee402f87a41e8e"},"schema_version":"1.0","source":{"id":"hep-th/9809167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9809167","created_at":"2026-07-04T15:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9809167v1","created_at":"2026-07-04T15:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9809167","created_at":"2026-07-04T15:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"BCQ253GLUJRN","created_at":"2026-07-04T15:53:54Z"},{"alias_kind":"pith_short_16","alias_value":"BCQ253GLUJRNVMIZ","created_at":"2026-07-04T15:53:54Z"},{"alias_kind":"pith_short_8","alias_value":"BCQ253GL","created_at":"2026-07-04T15:53:54Z"}],"graph_snapshots":[{"event_id":"sha256:cb94f339b295d2850e90ebcb3f077f33ea12961ca0662f4dccd2fb492106511c","target":"graph","created_at":"2026-07-04T15:53:54Z","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/hep-th/9809167/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Geroch-Wald-Jang-Huisken-Ilmanen approach to the positive energy problem to may be extended to give a negative lower bound for the mass of asymptotically Anti-de-Sitter spacetimes containing horizons with exotic topologies having ends or infinities of the form $\\Sigma_g \\times {\\Bbb R}$, in terms of the cosmological constant. We also show how the method gives a lower bound for for the mass of time-symmetric initial data sets for black holes with vectors and scalars in terms of the mass, $|Z(Q,P)|$ of the double extreme black hole with the same charges. I also give a lower bound for the are","authors_text":"G W Gibbons","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1998-09-22T13:14:50Z","title":"Some Comments on Gravitational Entropy and the Inverse Mean Curvature Flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9809167","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":"sha256:4cd55a8f8d141b07c4ea44fd2d150f02dc0841f490d5a047b98b2b9527f99ad2","target":"record","created_at":"2026-07-04T15:53:54Z","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":"b9be66122e4e6682460cae9a02e03f700d5383bb41e34974d9509f7098c448f6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-09-22T13:14:50Z","title_canon_sha256":"1e2e200dec72a114037585aa8deabdb0c2bdf00c83805f2c32ee402f87a41e8e"},"schema_version":"1.0","source":{"id":"hep-th/9809167","kind":"arxiv","version":1}},"canonical_sha256":"08a1aeeccba262dab11941c285b382c18fdc685247788d5bebad7e2fd11acfd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08a1aeeccba262dab11941c285b382c18fdc685247788d5bebad7e2fd11acfd4","first_computed_at":"2026-07-04T15:53:54.157117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:53:54.157117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q4+4CkCP1DeQNshZ8hPb9i1qVTKc7iks5LWOJWLELewW9j/8dQ+wesz4pGYJv7u7YN9hvXQe6EPP554YoCRdBg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:53:54.157521Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9809167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4cd55a8f8d141b07c4ea44fd2d150f02dc0841f490d5a047b98b2b9527f99ad2","sha256:cb94f339b295d2850e90ebcb3f077f33ea12961ca0662f4dccd2fb492106511c"],"state_sha256":"49000bd33746ccf4b8b8a1c922e06c4507d0f76632f5404d25a42e1c755a1e29"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ITp/1m7ZyhdQbjKvNh6JZetIDVB2NEwuMGwcJnS2XAD1LaWwpAlxsbT/GhA3OYFUdc+Gfo6o/AD6LOucPuxBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T16:57:31.251348Z","bundle_sha256":"cc992e15dbed8d83af772a58a597360ed9a039eb9cc1b3ac95d49259a62e3a4e"}}