{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:HET2BBBABQ6ATSNHN3XQCTKT4B","short_pith_number":"pith:HET2BBBA","canonical_record":{"source":{"id":"2605.18730","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-18T17:52:29Z","cross_cats_sorted":["math.AP","math.DG"],"title_canon_sha256":"370943e66789d217e86f94c883db57c6b6a7732bccf1e85ab088d7a4a877a4aa","abstract_canon_sha256":"4e45bc76a211169e68c46148ce498e6a3bb750bca47a5c589b7195f9daa9587a"},"schema_version":"1.0"},"canonical_sha256":"3927a084200c3c09c9a76eef014d53e07c57e57188c79b82511e8c102d592535","source":{"kind":"arxiv","id":"2605.18730","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.18730","created_at":"2026-05-20T00:06:17Z"},{"alias_kind":"arxiv_version","alias_value":"2605.18730v1","created_at":"2026-05-20T00:06:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.18730","created_at":"2026-05-20T00:06:17Z"},{"alias_kind":"pith_short_12","alias_value":"HET2BBBABQ6A","created_at":"2026-05-20T00:06:17Z"},{"alias_kind":"pith_short_16","alias_value":"HET2BBBABQ6ATSNH","created_at":"2026-05-20T00:06:17Z"},{"alias_kind":"pith_short_8","alias_value":"HET2BBBA","created_at":"2026-05-20T00:06:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:HET2BBBABQ6ATSNHN3XQCTKT4B","target":"record","payload":{"canonical_record":{"source":{"id":"2605.18730","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-18T17:52:29Z","cross_cats_sorted":["math.AP","math.DG"],"title_canon_sha256":"370943e66789d217e86f94c883db57c6b6a7732bccf1e85ab088d7a4a877a4aa","abstract_canon_sha256":"4e45bc76a211169e68c46148ce498e6a3bb750bca47a5c589b7195f9daa9587a"},"schema_version":"1.0"},"canonical_sha256":"3927a084200c3c09c9a76eef014d53e07c57e57188c79b82511e8c102d592535","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:06:17.651961Z","signature_b64":"pYlrgF0Ksw3SqgEOC3ApRHSUfk8UrR9pXhMoc3Ql4Cl9zCoAKXMl8391Sq4yJ8ZARgS4DAmStI6Mn7/7r7VeBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3927a084200c3c09c9a76eef014d53e07c57e57188c79b82511e8c102d592535","last_reissued_at":"2026-05-20T00:06:17.651159Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:06:17.651159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.18730","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":"2026-05-20T00:06:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w7Y1NhpiNpK/xIQg2Rqthyf7nq3oxqeooKMcwQ/gn6n2riPUVnWIpVowxjipMohwwwwIC1w0cByrneWt4JB9Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T12:42:01.806990Z"},"content_sha256":"1dc33736460dac04aa57b633beba8fe09b836dfd58aa1876e77983b007fce589","schema_version":"1.0","event_id":"sha256:1dc33736460dac04aa57b633beba8fe09b836dfd58aa1876e77983b007fce589"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:HET2BBBABQ6ATSNHN3XQCTKT4B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The spacetime Penrose inequality under a quasi final state hypothesis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.DG"],"primary_cat":"gr-qc","authors_text":"Ahmed Ellithy","submitted_at":"2026-05-18T17:52:29Z","abstract_excerpt":"Penrose's original heuristic for his eponymous spacetime inequality -- a conjectured lower bound on the ADM mass in terms of the area of a horizon cross-section -- relies on the black hole final state conjecture. In this paper we isolate a substantially weaker but precise late-time condition, which we call the quasi final state hypothesis and prove the spacetime Penrose inequality under this hypothesis. More precisely, for an asymptotically flat globally hyperbolic spacetime with a black-hole-type apparent horizon tube ${H}_{{app}}$ satisfying the dominant energy condition and the quasi final "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18730","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/2605.18730/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"claim_evidence","ran_at":"2026-05-20T00:01:59.021342Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"b0694f173f247d33ce301eb9dbce5f92d7c8d0c91935020eef188ccb6d99d303"},"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":"2026-05-20T00:06:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fo9t5ttrSwMJSbZw4ppwE1QyQkthkRdZHw+elSrvQl33zt9haGtK+zE4KF83XXE25RpR2XfN8v4Mj6ApOZtWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T12:42:01.807397Z"},"content_sha256":"c578c107c99d764b9242981960f6f6fffbef41acbeb6733aa1a0765b3bffccb1","schema_version":"1.0","event_id":"sha256:c578c107c99d764b9242981960f6f6fffbef41acbeb6733aa1a0765b3bffccb1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HET2BBBABQ6ATSNHN3XQCTKT4B/bundle.json","state_url":"https://pith.science/pith/HET2BBBABQ6ATSNHN3XQCTKT4B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HET2BBBABQ6ATSNHN3XQCTKT4B/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":"2026-05-21T12:42:01Z","links":{"resolver":"https://pith.science/pith/HET2BBBABQ6ATSNHN3XQCTKT4B","bundle":"https://pith.science/pith/HET2BBBABQ6ATSNHN3XQCTKT4B/bundle.json","state":"https://pith.science/pith/HET2BBBABQ6ATSNHN3XQCTKT4B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HET2BBBABQ6ATSNHN3XQCTKT4B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HET2BBBABQ6ATSNHN3XQCTKT4B","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":"4e45bc76a211169e68c46148ce498e6a3bb750bca47a5c589b7195f9daa9587a","cross_cats_sorted":["math.AP","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-18T17:52:29Z","title_canon_sha256":"370943e66789d217e86f94c883db57c6b6a7732bccf1e85ab088d7a4a877a4aa"},"schema_version":"1.0","source":{"id":"2605.18730","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.18730","created_at":"2026-05-20T00:06:17Z"},{"alias_kind":"arxiv_version","alias_value":"2605.18730v1","created_at":"2026-05-20T00:06:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.18730","created_at":"2026-05-20T00:06:17Z"},{"alias_kind":"pith_short_12","alias_value":"HET2BBBABQ6A","created_at":"2026-05-20T00:06:17Z"},{"alias_kind":"pith_short_16","alias_value":"HET2BBBABQ6ATSNH","created_at":"2026-05-20T00:06:17Z"},{"alias_kind":"pith_short_8","alias_value":"HET2BBBA","created_at":"2026-05-20T00:06:17Z"}],"graph_snapshots":[{"event_id":"sha256:c578c107c99d764b9242981960f6f6fffbef41acbeb6733aa1a0765b3bffccb1","target":"graph","created_at":"2026-05-20T00:06:17Z","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":[{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-20T00:01:59.021342Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2605.18730/integrity.json","findings":[],"snapshot_sha256":"b0694f173f247d33ce301eb9dbce5f92d7c8d0c91935020eef188ccb6d99d303","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Penrose's original heuristic for his eponymous spacetime inequality -- a conjectured lower bound on the ADM mass in terms of the area of a horizon cross-section -- relies on the black hole final state conjecture. In this paper we isolate a substantially weaker but precise late-time condition, which we call the quasi final state hypothesis and prove the spacetime Penrose inequality under this hypothesis. More precisely, for an asymptotically flat globally hyperbolic spacetime with a black-hole-type apparent horizon tube ${H}_{{app}}$ satisfying the dominant energy condition and the quasi final ","authors_text":"Ahmed Ellithy","cross_cats":["math.AP","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-18T17:52:29Z","title":"The spacetime Penrose inequality under a quasi final state hypothesis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18730","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":"sha256:1dc33736460dac04aa57b633beba8fe09b836dfd58aa1876e77983b007fce589","target":"record","created_at":"2026-05-20T00:06:17Z","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":"4e45bc76a211169e68c46148ce498e6a3bb750bca47a5c589b7195f9daa9587a","cross_cats_sorted":["math.AP","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-18T17:52:29Z","title_canon_sha256":"370943e66789d217e86f94c883db57c6b6a7732bccf1e85ab088d7a4a877a4aa"},"schema_version":"1.0","source":{"id":"2605.18730","kind":"arxiv","version":1}},"canonical_sha256":"3927a084200c3c09c9a76eef014d53e07c57e57188c79b82511e8c102d592535","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3927a084200c3c09c9a76eef014d53e07c57e57188c79b82511e8c102d592535","first_computed_at":"2026-05-20T00:06:17.651159Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:06:17.651159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pYlrgF0Ksw3SqgEOC3ApRHSUfk8UrR9pXhMoc3Ql4Cl9zCoAKXMl8391Sq4yJ8ZARgS4DAmStI6Mn7/7r7VeBw==","signature_status":"signed_v1","signed_at":"2026-05-20T00:06:17.651961Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.18730","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dc33736460dac04aa57b633beba8fe09b836dfd58aa1876e77983b007fce589","sha256:c578c107c99d764b9242981960f6f6fffbef41acbeb6733aa1a0765b3bffccb1"],"state_sha256":"69061e55d07e56c4d8d6c247cfcc91e2c178f3342bf1cc2cd136b648285b6628"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/wmXbsVu7JShtraZKhqNdI2j39GGlD8Bz5I7yToHyFkJ3IfG//zG1pBV/nV3hX6AEoQJgtwMmBXwSfZpUh/UCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T12:42:01.809565Z","bundle_sha256":"9ce6425d306a0c6468fe9124af5bf9a6dbb5e354b86364e1df521dda252785e3"}}