{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:APJVNRKJVEESIZ2FHGPNKWVL5E","short_pith_number":"pith:APJVNRKJ","canonical_record":{"source":{"id":"1211.5651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-11-24T08:17:31Z","cross_cats_sorted":[],"title_canon_sha256":"24f66961ddd62c0c179102ab41c54e2c26a4e5ca3e28406cacf2be4efe3b67ee","abstract_canon_sha256":"46c20254cf0cbf34b25c9d80e2bbcfb6a829a1c768eeb2111337077bd51f3c5b"},"schema_version":"1.0"},"canonical_sha256":"03d356c549a909246745399ed55aabe9184ec9f5a6ae8818d79c9d996c50f6cb","source":{"kind":"arxiv","id":"1211.5651","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5651","created_at":"2026-05-18T03:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5651v1","created_at":"2026-05-18T03:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5651","created_at":"2026-05-18T03:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"APJVNRKJVEES","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"APJVNRKJVEESIZ2F","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"APJVNRKJ","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:APJVNRKJVEESIZ2FHGPNKWVL5E","target":"record","payload":{"canonical_record":{"source":{"id":"1211.5651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-11-24T08:17:31Z","cross_cats_sorted":[],"title_canon_sha256":"24f66961ddd62c0c179102ab41c54e2c26a4e5ca3e28406cacf2be4efe3b67ee","abstract_canon_sha256":"46c20254cf0cbf34b25c9d80e2bbcfb6a829a1c768eeb2111337077bd51f3c5b"},"schema_version":"1.0"},"canonical_sha256":"03d356c549a909246745399ed55aabe9184ec9f5a6ae8818d79c9d996c50f6cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:02.339196Z","signature_b64":"3UhMrcpvl7sU7sgJgD1urA1auTykgKdjXI0dSa7IIZa/ZXS91c6ydOvYF3xe6S31wS70hNjHvacizuok9T3OCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03d356c549a909246745399ed55aabe9184ec9f5a6ae8818d79c9d996c50f6cb","last_reissued_at":"2026-05-18T03:40:02.338690Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:02.338690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.5651","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":"2026-05-18T03:40:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AFA961JPQSPBzwwjRZs2hgU1+vkClBytW1Q0r2wgWSxuNvugbyczD84dfw5HgV8LkiI957WsncQ5Yf79gSNqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:21:34.320722Z"},"content_sha256":"b41166f440dfdf31fa4d0013862eda73abb8b7ce31f893ce43b1c54ecd9ab5d9","schema_version":"1.0","event_id":"sha256:b41166f440dfdf31fa4d0013862eda73abb8b7ce31f893ce43b1c54ecd9ab5d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:APJVNRKJVEESIZ2FHGPNKWVL5E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniqueness of the AdS Spacetime among Static Vacua with prescribed Null infinity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Oussama Hijazi, Sebasti\\'an Montiel","submitted_at":"2012-11-24T08:17:31Z","abstract_excerpt":"We prove that an $(n+1)$-dimensional spin static vacuum with negative cosmological constant whose null infinity has a boundary admitting a non-trivial Killing spinor field is the AdS spacetime. As a consequence, we generalize previous uniqueness results by X. Wang \\cite{Wa2} and by Chru{\\'s}ciel-Herzlich \\cite{CH} and introduce, for this class of spin static vacua, some Lorentzian manifolds which are prohibited as null infinities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5651","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":""},"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":"2026-05-18T03:40:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MqWUnVtUqcx5hPtyQKpoW5hRyryj/zXqE+6OKkDsgBhkv7l+lyBbygeeNK6oD5Q82Vu9kPImnqDMpZ3FRjIxDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:21:34.321345Z"},"content_sha256":"9dd37450a982e44d58259c7007a1062154ed1d8a7fa5fecb60d1d997e2e8de38","schema_version":"1.0","event_id":"sha256:9dd37450a982e44d58259c7007a1062154ed1d8a7fa5fecb60d1d997e2e8de38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/APJVNRKJVEESIZ2FHGPNKWVL5E/bundle.json","state_url":"https://pith.science/pith/APJVNRKJVEESIZ2FHGPNKWVL5E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/APJVNRKJVEESIZ2FHGPNKWVL5E/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":"2026-06-07T10:21:34Z","links":{"resolver":"https://pith.science/pith/APJVNRKJVEESIZ2FHGPNKWVL5E","bundle":"https://pith.science/pith/APJVNRKJVEESIZ2FHGPNKWVL5E/bundle.json","state":"https://pith.science/pith/APJVNRKJVEESIZ2FHGPNKWVL5E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/APJVNRKJVEESIZ2FHGPNKWVL5E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:APJVNRKJVEESIZ2FHGPNKWVL5E","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":"46c20254cf0cbf34b25c9d80e2bbcfb6a829a1c768eeb2111337077bd51f3c5b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-11-24T08:17:31Z","title_canon_sha256":"24f66961ddd62c0c179102ab41c54e2c26a4e5ca3e28406cacf2be4efe3b67ee"},"schema_version":"1.0","source":{"id":"1211.5651","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5651","created_at":"2026-05-18T03:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5651v1","created_at":"2026-05-18T03:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5651","created_at":"2026-05-18T03:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"APJVNRKJVEES","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"APJVNRKJVEESIZ2F","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"APJVNRKJ","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:9dd37450a982e44d58259c7007a1062154ed1d8a7fa5fecb60d1d997e2e8de38","target":"graph","created_at":"2026-05-18T03:40:02Z","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 prove that an $(n+1)$-dimensional spin static vacuum with negative cosmological constant whose null infinity has a boundary admitting a non-trivial Killing spinor field is the AdS spacetime. As a consequence, we generalize previous uniqueness results by X. Wang \\cite{Wa2} and by Chru{\\'s}ciel-Herzlich \\cite{CH} and introduce, for this class of spin static vacua, some Lorentzian manifolds which are prohibited as null infinities.","authors_text":"Oussama Hijazi, Sebasti\\'an Montiel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-11-24T08:17:31Z","title":"Uniqueness of the AdS Spacetime among Static Vacua with prescribed Null infinity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5651","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:b41166f440dfdf31fa4d0013862eda73abb8b7ce31f893ce43b1c54ecd9ab5d9","target":"record","created_at":"2026-05-18T03:40:02Z","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":"46c20254cf0cbf34b25c9d80e2bbcfb6a829a1c768eeb2111337077bd51f3c5b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-11-24T08:17:31Z","title_canon_sha256":"24f66961ddd62c0c179102ab41c54e2c26a4e5ca3e28406cacf2be4efe3b67ee"},"schema_version":"1.0","source":{"id":"1211.5651","kind":"arxiv","version":1}},"canonical_sha256":"03d356c549a909246745399ed55aabe9184ec9f5a6ae8818d79c9d996c50f6cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03d356c549a909246745399ed55aabe9184ec9f5a6ae8818d79c9d996c50f6cb","first_computed_at":"2026-05-18T03:40:02.338690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:02.338690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3UhMrcpvl7sU7sgJgD1urA1auTykgKdjXI0dSa7IIZa/ZXS91c6ydOvYF3xe6S31wS70hNjHvacizuok9T3OCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:02.339196Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.5651","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b41166f440dfdf31fa4d0013862eda73abb8b7ce31f893ce43b1c54ecd9ab5d9","sha256:9dd37450a982e44d58259c7007a1062154ed1d8a7fa5fecb60d1d997e2e8de38"],"state_sha256":"d8d63563a74dcc03501d15467c83394581be77cecaebd1f07a60c53ffc698424"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yDOjHz92p3ONURfveQChhUuYTYjRqlr68htQ3O1Ft8sfPKaFNNEAJ2WQC/0lMgOW2Q38y44FWQn4EztcigUyCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T10:21:34.324283Z","bundle_sha256":"ff132b559257c3c7c59e6ffce48a43de3717fb85f971ae0352ec75b1dfb23a88"}}