{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:RRZJWQ2M7GNLN5ZL5SPBO22P6A","short_pith_number":"pith:RRZJWQ2M","canonical_record":{"source":{"id":"1212.3699","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-15T16:23:42Z","cross_cats_sorted":[],"title_canon_sha256":"4f6029b88e8fa94dc000acb06acda55bf654ca4c0cef6dc9565592ecc7560004","abstract_canon_sha256":"8a7e24494ca7dd694e4124633ba3fea24f6ed3e37ceb097e61520477bc8731ea"},"schema_version":"1.0"},"canonical_sha256":"8c729b434cf99ab6f72bec9e176b4ff007b4fe5764957a704996f42b65fc5f13","source":{"kind":"arxiv","id":"1212.3699","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3699","created_at":"2026-05-18T01:52:37Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3699v1","created_at":"2026-05-18T01:52:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3699","created_at":"2026-05-18T01:52:37Z"},{"alias_kind":"pith_short_12","alias_value":"RRZJWQ2M7GNL","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RRZJWQ2M7GNLN5ZL","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RRZJWQ2M","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:RRZJWQ2M7GNLN5ZL5SPBO22P6A","target":"record","payload":{"canonical_record":{"source":{"id":"1212.3699","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-15T16:23:42Z","cross_cats_sorted":[],"title_canon_sha256":"4f6029b88e8fa94dc000acb06acda55bf654ca4c0cef6dc9565592ecc7560004","abstract_canon_sha256":"8a7e24494ca7dd694e4124633ba3fea24f6ed3e37ceb097e61520477bc8731ea"},"schema_version":"1.0"},"canonical_sha256":"8c729b434cf99ab6f72bec9e176b4ff007b4fe5764957a704996f42b65fc5f13","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:37.883241Z","signature_b64":"e5xTDWWbKf5rjb1fNibWmeKStG0FdZRluiBbng2SeHUgi4JgnHRjGimMuUFWpjLUDxLgeLWqcxCANmsEsCRrCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c729b434cf99ab6f72bec9e176b4ff007b4fe5764957a704996f42b65fc5f13","last_reissued_at":"2026-05-18T01:52:37.882545Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:37.882545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.3699","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":"2026-05-18T01:52:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kp9cW9v1H3f1xd8JZfccub8THH02cpVgXENVeJSCqH27MlWp34h6f1DaEfHq+V7OpvXQjRxX2Vtkph3z+3ewCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T09:52:56.748656Z"},"content_sha256":"966d4896f1e132c9730d9fe8d2c1149de1160f9c6aafcccbaea66bc570050619","schema_version":"1.0","event_id":"sha256:966d4896f1e132c9730d9fe8d2c1149de1160f9c6aafcccbaea66bc570050619"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:RRZJWQ2M7GNLN5ZL5SPBO22P6A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling up the extrinsic curvature in asymptotically flat gravitational initial data: Generating trapped surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Niall \\'O Murchadha, Shan Bai","submitted_at":"2012-12-15T16:23:42Z","abstract_excerpt":"The existence of the initial value constraints means that specifying initial data for the Einstein equations is non-trivial. The standard method of constructing initial data in the asymptotically flat case is to choose an asymptotically flat 3-metric and a transverse-tracefree (TT) tensor on it. One can find a conformal transformation that maps these data into solutions of the constraints. In particular, the TT tensor becomes the extrinsic curvature of the 3-slice. We wish to understand how the physical solution changes as the free data is changed. In this paper we investigate an especially si"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3699","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":"2026-05-18T01:52:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gM5CabVLMGfTU3Rz7wviEtr+UUY9W6BJXx5hpZNOoDYOtyBGDwxu0X0utJif/kHz0pEWFxF483rW07Y7KJWEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T09:52:56.748993Z"},"content_sha256":"2c979e76db33e5c15ef98d196a095f9cf8d28e3d7f8ab6158aa7fd1bd03b9371","schema_version":"1.0","event_id":"sha256:2c979e76db33e5c15ef98d196a095f9cf8d28e3d7f8ab6158aa7fd1bd03b9371"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RRZJWQ2M7GNLN5ZL5SPBO22P6A/bundle.json","state_url":"https://pith.science/pith/RRZJWQ2M7GNLN5ZL5SPBO22P6A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RRZJWQ2M7GNLN5ZL5SPBO22P6A/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":"2026-07-04T09:52:56Z","links":{"resolver":"https://pith.science/pith/RRZJWQ2M7GNLN5ZL5SPBO22P6A","bundle":"https://pith.science/pith/RRZJWQ2M7GNLN5ZL5SPBO22P6A/bundle.json","state":"https://pith.science/pith/RRZJWQ2M7GNLN5ZL5SPBO22P6A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RRZJWQ2M7GNLN5ZL5SPBO22P6A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RRZJWQ2M7GNLN5ZL5SPBO22P6A","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":"8a7e24494ca7dd694e4124633ba3fea24f6ed3e37ceb097e61520477bc8731ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-15T16:23:42Z","title_canon_sha256":"4f6029b88e8fa94dc000acb06acda55bf654ca4c0cef6dc9565592ecc7560004"},"schema_version":"1.0","source":{"id":"1212.3699","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3699","created_at":"2026-05-18T01:52:37Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3699v1","created_at":"2026-05-18T01:52:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3699","created_at":"2026-05-18T01:52:37Z"},{"alias_kind":"pith_short_12","alias_value":"RRZJWQ2M7GNL","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RRZJWQ2M7GNLN5ZL","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RRZJWQ2M","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:2c979e76db33e5c15ef98d196a095f9cf8d28e3d7f8ab6158aa7fd1bd03b9371","target":"graph","created_at":"2026-05-18T01:52:37Z","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":"The existence of the initial value constraints means that specifying initial data for the Einstein equations is non-trivial. The standard method of constructing initial data in the asymptotically flat case is to choose an asymptotically flat 3-metric and a transverse-tracefree (TT) tensor on it. One can find a conformal transformation that maps these data into solutions of the constraints. In particular, the TT tensor becomes the extrinsic curvature of the 3-slice. We wish to understand how the physical solution changes as the free data is changed. In this paper we investigate an especially si","authors_text":"Niall \\'O Murchadha, Shan Bai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-15T16:23:42Z","title":"Scaling up the extrinsic curvature in asymptotically flat gravitational initial data: Generating trapped surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3699","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":"sha256:966d4896f1e132c9730d9fe8d2c1149de1160f9c6aafcccbaea66bc570050619","target":"record","created_at":"2026-05-18T01:52:37Z","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":"8a7e24494ca7dd694e4124633ba3fea24f6ed3e37ceb097e61520477bc8731ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-15T16:23:42Z","title_canon_sha256":"4f6029b88e8fa94dc000acb06acda55bf654ca4c0cef6dc9565592ecc7560004"},"schema_version":"1.0","source":{"id":"1212.3699","kind":"arxiv","version":1}},"canonical_sha256":"8c729b434cf99ab6f72bec9e176b4ff007b4fe5764957a704996f42b65fc5f13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c729b434cf99ab6f72bec9e176b4ff007b4fe5764957a704996f42b65fc5f13","first_computed_at":"2026-05-18T01:52:37.882545Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:37.882545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e5xTDWWbKf5rjb1fNibWmeKStG0FdZRluiBbng2SeHUgi4JgnHRjGimMuUFWpjLUDxLgeLWqcxCANmsEsCRrCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:37.883241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.3699","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:966d4896f1e132c9730d9fe8d2c1149de1160f9c6aafcccbaea66bc570050619","sha256:2c979e76db33e5c15ef98d196a095f9cf8d28e3d7f8ab6158aa7fd1bd03b9371"],"state_sha256":"88c45e1f5352b79ec50c0953dd5fb712bb8fda509ebd2db3f5d536043bba22ce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wg/jtv+L8mKISiPztsYz30P8D/3CvsJ4H6iNWtwuVls7CneFTp6XJB65y8bODTplHxNzErBw6WYQ1e8BJL7LBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T09:52:56.750858Z","bundle_sha256":"a1d2131bbf61daa1a3527ace372d3d68d2c6d6ca64a94bad908dfe3526fb4e46"}}