{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:2PEDTWAMQETOYYJGKG2SSARD7P","short_pith_number":"pith:2PEDTWAM","canonical_record":{"source":{"id":"0906.4714","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-25T15:19:48Z","cross_cats_sorted":[],"title_canon_sha256":"ead5f8b1e7136e5ee4df57cbad0e7bcc14725b456c4d754f73aa2de1b092f448","abstract_canon_sha256":"11d2fcb2cb645a22b524cb6d978faa28e6da29aa46b255e161540eef0993d707"},"schema_version":"1.0"},"canonical_sha256":"d3c839d80c8126ec612651b5290223fbfebbf61dabe5c288311c2b8a2b99986d","source":{"kind":"arxiv","id":"0906.4714","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.4714","created_at":"2026-05-18T02:34:45Z"},{"alias_kind":"arxiv_version","alias_value":"0906.4714v1","created_at":"2026-05-18T02:34:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.4714","created_at":"2026-05-18T02:34:45Z"},{"alias_kind":"pith_short_12","alias_value":"2PEDTWAMQETO","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"2PEDTWAMQETOYYJG","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"2PEDTWAM","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:2PEDTWAMQETOYYJGKG2SSARD7P","target":"record","payload":{"canonical_record":{"source":{"id":"0906.4714","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-25T15:19:48Z","cross_cats_sorted":[],"title_canon_sha256":"ead5f8b1e7136e5ee4df57cbad0e7bcc14725b456c4d754f73aa2de1b092f448","abstract_canon_sha256":"11d2fcb2cb645a22b524cb6d978faa28e6da29aa46b255e161540eef0993d707"},"schema_version":"1.0"},"canonical_sha256":"d3c839d80c8126ec612651b5290223fbfebbf61dabe5c288311c2b8a2b99986d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:45.444484Z","signature_b64":"W5GcLrIYAZXsDQOkXfPUCIv6GnXK89hfmu08scgH6gIXX12/teASadcUu7Uy7he90IbuJdKZyTL1jJDLe/QhBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3c839d80c8126ec612651b5290223fbfebbf61dabe5c288311c2b8a2b99986d","last_reissued_at":"2026-05-18T02:34:45.444028Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:45.444028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.4714","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":"2026-05-18T02:34:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KrZzEnvYTqXxqXWyLiGtmeUH7TibmVNxLJMY88xm0l0cLTDcNv1VF3tEagHPjU3dRXjaRzFQF8wfg2xWGx++Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:32:36.704121Z"},"content_sha256":"4ac63f0959150f9bf2cc8a7660c89b0370d75ca970fcca02a371b4f859ab7e21","schema_version":"1.0","event_id":"sha256:4ac63f0959150f9bf2cc8a7660c89b0370d75ca970fcca02a371b4f859ab7e21"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:2PEDTWAMQETOYYJGKG2SSARD7P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A rigidity property of asymptotically simple spacetimes arising from conformally flat data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Juan A. Valiente Kroon","submitted_at":"2009-06-25T15:19:48Z","abstract_excerpt":"Given a time symmetric initial data set for the vacuum Einstein field equations which is conformally flat near infinity, it is shown that the solutions to the regular finite initial value problem at spatial infinity extend smoothly through the critical sets where null infinity touches spatial infinity if and only if the initial data coincides with Schwarzschild data near infinity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.4714","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":"2026-05-18T02:34:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AqpEdcfV90rB/SPqBjO2gRQCdEwR0zP2XOxvGkx5LzDsI2omftFP1F9JEhwDIDbgqhEv+PIZQCS4wNL//oQ5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:32:36.704502Z"},"content_sha256":"c99aefac13c5788a67d412b65c6b7d844d3a21c7db49dba3aeda47a415119a7d","schema_version":"1.0","event_id":"sha256:c99aefac13c5788a67d412b65c6b7d844d3a21c7db49dba3aeda47a415119a7d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2PEDTWAMQETOYYJGKG2SSARD7P/bundle.json","state_url":"https://pith.science/pith/2PEDTWAMQETOYYJGKG2SSARD7P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2PEDTWAMQETOYYJGKG2SSARD7P/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":"2026-06-02T17:32:36Z","links":{"resolver":"https://pith.science/pith/2PEDTWAMQETOYYJGKG2SSARD7P","bundle":"https://pith.science/pith/2PEDTWAMQETOYYJGKG2SSARD7P/bundle.json","state":"https://pith.science/pith/2PEDTWAMQETOYYJGKG2SSARD7P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2PEDTWAMQETOYYJGKG2SSARD7P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:2PEDTWAMQETOYYJGKG2SSARD7P","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":"11d2fcb2cb645a22b524cb6d978faa28e6da29aa46b255e161540eef0993d707","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-25T15:19:48Z","title_canon_sha256":"ead5f8b1e7136e5ee4df57cbad0e7bcc14725b456c4d754f73aa2de1b092f448"},"schema_version":"1.0","source":{"id":"0906.4714","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.4714","created_at":"2026-05-18T02:34:45Z"},{"alias_kind":"arxiv_version","alias_value":"0906.4714v1","created_at":"2026-05-18T02:34:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.4714","created_at":"2026-05-18T02:34:45Z"},{"alias_kind":"pith_short_12","alias_value":"2PEDTWAMQETO","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"2PEDTWAMQETOYYJG","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"2PEDTWAM","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:c99aefac13c5788a67d412b65c6b7d844d3a21c7db49dba3aeda47a415119a7d","target":"graph","created_at":"2026-05-18T02:34:45Z","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":"Given a time symmetric initial data set for the vacuum Einstein field equations which is conformally flat near infinity, it is shown that the solutions to the regular finite initial value problem at spatial infinity extend smoothly through the critical sets where null infinity touches spatial infinity if and only if the initial data coincides with Schwarzschild data near infinity.","authors_text":"Juan A. Valiente Kroon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-25T15:19:48Z","title":"A rigidity property of asymptotically simple spacetimes arising from conformally flat data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.4714","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":"sha256:4ac63f0959150f9bf2cc8a7660c89b0370d75ca970fcca02a371b4f859ab7e21","target":"record","created_at":"2026-05-18T02:34:45Z","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":"11d2fcb2cb645a22b524cb6d978faa28e6da29aa46b255e161540eef0993d707","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-25T15:19:48Z","title_canon_sha256":"ead5f8b1e7136e5ee4df57cbad0e7bcc14725b456c4d754f73aa2de1b092f448"},"schema_version":"1.0","source":{"id":"0906.4714","kind":"arxiv","version":1}},"canonical_sha256":"d3c839d80c8126ec612651b5290223fbfebbf61dabe5c288311c2b8a2b99986d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3c839d80c8126ec612651b5290223fbfebbf61dabe5c288311c2b8a2b99986d","first_computed_at":"2026-05-18T02:34:45.444028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:45.444028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W5GcLrIYAZXsDQOkXfPUCIv6GnXK89hfmu08scgH6gIXX12/teASadcUu7Uy7he90IbuJdKZyTL1jJDLe/QhBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:45.444484Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.4714","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ac63f0959150f9bf2cc8a7660c89b0370d75ca970fcca02a371b4f859ab7e21","sha256:c99aefac13c5788a67d412b65c6b7d844d3a21c7db49dba3aeda47a415119a7d"],"state_sha256":"646964bc6d77826f1eeb2edcfddb51beb80cb05fad565ef342a8c81d2dd43433"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6xVS04S8dJs9nTNbeRX0aej3YnKlLQScKsSjReX36Pg1DqiPujVeJCtR8eQH9PL+VPBIe8NR3nEE+oP27m3wAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T17:32:36.706914Z","bundle_sha256":"d4ac2b14b686d394c8239fc5765542f4e072bc4835c96739f104c826f870c4e1"}}