{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:23CNZIQGLBQ3U3NAG7BSULNJQ7","short_pith_number":"pith:23CNZIQG","canonical_record":{"source":{"id":"gr-qc/9607006","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1996-07-03T17:15:02Z","cross_cats_sorted":[],"title_canon_sha256":"7dc886deebcd078e77a15976e164821439cd2002c6e950f9883153416db136b5","abstract_canon_sha256":"c256d86d356ea4e3febeef0ea14ab96962d2b36cd6e12f9760ea559c8aaf4c19"},"schema_version":"1.0"},"canonical_sha256":"d6c4dca2065861ba6da037c32a2da987fb77b8172445f795cf8823fdcd51915b","source":{"kind":"arxiv","id":"gr-qc/9607006","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9607006","created_at":"2026-05-18T03:47:41Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9607006v1","created_at":"2026-05-18T03:47:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9607006","created_at":"2026-05-18T03:47:41Z"},{"alias_kind":"pith_short_12","alias_value":"23CNZIQGLBQ3","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"23CNZIQGLBQ3U3NA","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"23CNZIQG","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:23CNZIQGLBQ3U3NAG7BSULNJQ7","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9607006","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1996-07-03T17:15:02Z","cross_cats_sorted":[],"title_canon_sha256":"7dc886deebcd078e77a15976e164821439cd2002c6e950f9883153416db136b5","abstract_canon_sha256":"c256d86d356ea4e3febeef0ea14ab96962d2b36cd6e12f9760ea559c8aaf4c19"},"schema_version":"1.0"},"canonical_sha256":"d6c4dca2065861ba6da037c32a2da987fb77b8172445f795cf8823fdcd51915b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:47:41.653469Z","signature_b64":"LqStshCyl/M9RThD0DMJYugOG1osJ2UXNDbnSUw1i/HGtw/+nHEjyxSBXFtIerXnzptsLJsX+arFCpcxUIUYCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6c4dca2065861ba6da037c32a2da987fb77b8172445f795cf8823fdcd51915b","last_reissued_at":"2026-05-18T03:47:41.652878Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:47:41.652878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9607006","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":"2026-05-18T03:47:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j2YWWaw0+U2wChnkY2CIR/vz9bgKssalt40eXkKNAYL3YAHiLjp6By+GGSqlM9bvwsZJJZZfiQ5PDMzw+KxHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T18:44:40.875681Z"},"content_sha256":"a96da07f1d947991027d1a47d2cf142f750423cf5902bd3c6bb0a28470d28c5c","schema_version":"1.0","event_id":"sha256:a96da07f1d947991027d1a47d2cf142f750423cf5902bd3c6bb0a28470d28c5c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:23CNZIQGLBQ3U3NAG7BSULNJQ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A non-strictly hyperbolic system for the Einstein equations with arbitrary lapse and shift","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Andrew Abrahams, Arlen Anderson, James W. York, jr, Yvonne Choquet-Bruhat","submitted_at":"1996-07-03T17:15:02Z","abstract_excerpt":"We obtain a system for the spatial metric and extrinsic curvature of a spacelike slice that is hyperbolic non-strict in the sense of Leray and Ohya and is equivalent to the Einstein equations. Its characteristics are the light cone and the normal to the slice for any choice of lapse and shift functions, and it admits a well-posed causal Cauchy problem in a Gevrey class of index $\\alpha=2$. The system becomes quasidiagonal hyperbolic if we posit a certain wave equation for the lapse function, and we can then relate the results to our previously obtained first order symmetric hyperbolic system f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9607006","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":"2026-05-18T03:47:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FlCesM4m7cnkRep0zHXVC1SPHQ6VTUa3Y5qI8mdxJv4Z0Q6J178D4TwnbB5bHaM7lj6KjzqxcjxqfPgirhtUDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T18:44:40.876020Z"},"content_sha256":"f048637cf7b8155290c72f7ec6a3e9e6a58ee524d599d09580d5a568c9308b99","schema_version":"1.0","event_id":"sha256:f048637cf7b8155290c72f7ec6a3e9e6a58ee524d599d09580d5a568c9308b99"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/23CNZIQGLBQ3U3NAG7BSULNJQ7/bundle.json","state_url":"https://pith.science/pith/23CNZIQGLBQ3U3NAG7BSULNJQ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/23CNZIQGLBQ3U3NAG7BSULNJQ7/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":"2026-06-02T18:44:40Z","links":{"resolver":"https://pith.science/pith/23CNZIQGLBQ3U3NAG7BSULNJQ7","bundle":"https://pith.science/pith/23CNZIQGLBQ3U3NAG7BSULNJQ7/bundle.json","state":"https://pith.science/pith/23CNZIQGLBQ3U3NAG7BSULNJQ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/23CNZIQGLBQ3U3NAG7BSULNJQ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:23CNZIQGLBQ3U3NAG7BSULNJQ7","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":"c256d86d356ea4e3febeef0ea14ab96962d2b36cd6e12f9760ea559c8aaf4c19","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1996-07-03T17:15:02Z","title_canon_sha256":"7dc886deebcd078e77a15976e164821439cd2002c6e950f9883153416db136b5"},"schema_version":"1.0","source":{"id":"gr-qc/9607006","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9607006","created_at":"2026-05-18T03:47:41Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9607006v1","created_at":"2026-05-18T03:47:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9607006","created_at":"2026-05-18T03:47:41Z"},{"alias_kind":"pith_short_12","alias_value":"23CNZIQGLBQ3","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"23CNZIQGLBQ3U3NA","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"23CNZIQG","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:f048637cf7b8155290c72f7ec6a3e9e6a58ee524d599d09580d5a568c9308b99","target":"graph","created_at":"2026-05-18T03:47:41Z","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 obtain a system for the spatial metric and extrinsic curvature of a spacelike slice that is hyperbolic non-strict in the sense of Leray and Ohya and is equivalent to the Einstein equations. Its characteristics are the light cone and the normal to the slice for any choice of lapse and shift functions, and it admits a well-posed causal Cauchy problem in a Gevrey class of index $\\alpha=2$. The system becomes quasidiagonal hyperbolic if we posit a certain wave equation for the lapse function, and we can then relate the results to our previously obtained first order symmetric hyperbolic system f","authors_text":"Andrew Abrahams, Arlen Anderson, James W. York, jr, Yvonne Choquet-Bruhat","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1996-07-03T17:15:02Z","title":"A non-strictly hyperbolic system for the Einstein equations with arbitrary lapse and shift"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9607006","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:a96da07f1d947991027d1a47d2cf142f750423cf5902bd3c6bb0a28470d28c5c","target":"record","created_at":"2026-05-18T03:47:41Z","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":"c256d86d356ea4e3febeef0ea14ab96962d2b36cd6e12f9760ea559c8aaf4c19","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1996-07-03T17:15:02Z","title_canon_sha256":"7dc886deebcd078e77a15976e164821439cd2002c6e950f9883153416db136b5"},"schema_version":"1.0","source":{"id":"gr-qc/9607006","kind":"arxiv","version":1}},"canonical_sha256":"d6c4dca2065861ba6da037c32a2da987fb77b8172445f795cf8823fdcd51915b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6c4dca2065861ba6da037c32a2da987fb77b8172445f795cf8823fdcd51915b","first_computed_at":"2026-05-18T03:47:41.652878Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:47:41.652878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LqStshCyl/M9RThD0DMJYugOG1osJ2UXNDbnSUw1i/HGtw/+nHEjyxSBXFtIerXnzptsLJsX+arFCpcxUIUYCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:47:41.653469Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9607006","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a96da07f1d947991027d1a47d2cf142f750423cf5902bd3c6bb0a28470d28c5c","sha256:f048637cf7b8155290c72f7ec6a3e9e6a58ee524d599d09580d5a568c9308b99"],"state_sha256":"4994f334879cb7b2f7b3b77ae8a94ff745cfe300954ff269e31a9e5bbcbcb865"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+RMikw41BfIj9fDbBgwqtgpXTnPuuk2u7far0WhqeIIOTYWBmawEVqdyPnyHdwHtDnEzyg2TwWY4drc0/iXdAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T18:44:40.877900Z","bundle_sha256":"067e39737d45a6649cf2028be882992fe13f4e48697caac7d1104f235ad4034e"}}