{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:AKOZLJ2INTLRZWSJQANOV637GM","short_pith_number":"pith:AKOZLJ2I","canonical_record":{"source":{"id":"gr-qc/9901021","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1999-01-07T22:20:45Z","cross_cats_sorted":[],"title_canon_sha256":"6d720d6664ba267fab7961efa39d80af9ae980577bae035726aedbee5a92e222","abstract_canon_sha256":"0f2c0355755bb652df71fe1f94a354e545237176a025f8211c6416957429f711"},"schema_version":"1.0"},"canonical_sha256":"029d95a7486cd71cda49801aeafb7f333329e5a6b00b282b6c1bf7109700b271","source":{"kind":"arxiv","id":"gr-qc/9901021","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9901021","created_at":"2026-05-18T03:47:41Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9901021v1","created_at":"2026-05-18T03:47:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9901021","created_at":"2026-05-18T03:47:41Z"},{"alias_kind":"pith_short_12","alias_value":"AKOZLJ2INTLR","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"AKOZLJ2INTLRZWSJ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"AKOZLJ2I","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:AKOZLJ2INTLRZWSJQANOV637GM","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9901021","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1999-01-07T22:20:45Z","cross_cats_sorted":[],"title_canon_sha256":"6d720d6664ba267fab7961efa39d80af9ae980577bae035726aedbee5a92e222","abstract_canon_sha256":"0f2c0355755bb652df71fe1f94a354e545237176a025f8211c6416957429f711"},"schema_version":"1.0"},"canonical_sha256":"029d95a7486cd71cda49801aeafb7f333329e5a6b00b282b6c1bf7109700b271","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:47:41.555990Z","signature_b64":"ZJQGThETxw36LBIJR7QCl/Qd4pPEmktpcqmBW+jhemWDGJUjCH6xSeMC9DfpdusmMsHI8MA0s8ykT9+Yi0F5Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"029d95a7486cd71cda49801aeafb7f333329e5a6b00b282b6c1bf7109700b271","last_reissued_at":"2026-05-18T03:47:41.555485Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:47:41.555485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9901021","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":"sLMSaEQ2AdkO+O882YlAE61RO6j/jdevmFXmm6+UA7MvX/eHSN1VMDMwmylUUhFdy7Ob3f+za3k4ktb0bvrGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:15:32.058365Z"},"content_sha256":"efab57eed6ef7996e0060e92cb22acf88f362c5890c401c6e848adb64a6e230b","schema_version":"1.0","event_id":"sha256:efab57eed6ef7996e0060e92cb22acf88f362c5890c401c6e848adb64a6e230b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:AKOZLJ2INTLRZWSJQANOV637GM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fixing Einstein's equations","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Arlen Anderson, James W. York, jr","submitted_at":"1999-01-07T22:20:45Z","abstract_excerpt":"Einstein's equations for general relativity, when viewed as a dynamical system for evolving initial data, have a serious flaw: they cannot be proven to be well-posed (except in special coordinates). That is, they do not produce unique solutions that depend smoothly on the initial data. To remedy this failing, there has been widespread interest recently in reformulating Einstein's theory as a hyperbolic system of differential equations. The physical and geometrical content of the original theory remain unchanged, but dynamical evolution is made sound. Here we present a new hyperbolic formulatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9901021","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":"vsApOUT4F4v8H9FkgICQvhJ9McixVDpWNBljPpJ+K84KqzZo7AKW/YkStDaOWSoZz+bS6ANHQ6zyI4SDolnHCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:15:32.058715Z"},"content_sha256":"a6435ac40b72673efc9ad3c97a49a23c2cfd63cd3e79aa73543ad0d298cd1bad","schema_version":"1.0","event_id":"sha256:a6435ac40b72673efc9ad3c97a49a23c2cfd63cd3e79aa73543ad0d298cd1bad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AKOZLJ2INTLRZWSJQANOV637GM/bundle.json","state_url":"https://pith.science/pith/AKOZLJ2INTLRZWSJQANOV637GM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AKOZLJ2INTLRZWSJQANOV637GM/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":"2026-06-02T13:15:32Z","links":{"resolver":"https://pith.science/pith/AKOZLJ2INTLRZWSJQANOV637GM","bundle":"https://pith.science/pith/AKOZLJ2INTLRZWSJQANOV637GM/bundle.json","state":"https://pith.science/pith/AKOZLJ2INTLRZWSJQANOV637GM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AKOZLJ2INTLRZWSJQANOV637GM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:AKOZLJ2INTLRZWSJQANOV637GM","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":"0f2c0355755bb652df71fe1f94a354e545237176a025f8211c6416957429f711","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1999-01-07T22:20:45Z","title_canon_sha256":"6d720d6664ba267fab7961efa39d80af9ae980577bae035726aedbee5a92e222"},"schema_version":"1.0","source":{"id":"gr-qc/9901021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9901021","created_at":"2026-05-18T03:47:41Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9901021v1","created_at":"2026-05-18T03:47:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9901021","created_at":"2026-05-18T03:47:41Z"},{"alias_kind":"pith_short_12","alias_value":"AKOZLJ2INTLR","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"AKOZLJ2INTLRZWSJ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"AKOZLJ2I","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:a6435ac40b72673efc9ad3c97a49a23c2cfd63cd3e79aa73543ad0d298cd1bad","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":"Einstein's equations for general relativity, when viewed as a dynamical system for evolving initial data, have a serious flaw: they cannot be proven to be well-posed (except in special coordinates). That is, they do not produce unique solutions that depend smoothly on the initial data. To remedy this failing, there has been widespread interest recently in reformulating Einstein's theory as a hyperbolic system of differential equations. The physical and geometrical content of the original theory remain unchanged, but dynamical evolution is made sound. Here we present a new hyperbolic formulatio","authors_text":"Arlen Anderson, James W. York, jr","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1999-01-07T22:20:45Z","title":"Fixing Einstein's equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9901021","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:efab57eed6ef7996e0060e92cb22acf88f362c5890c401c6e848adb64a6e230b","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":"0f2c0355755bb652df71fe1f94a354e545237176a025f8211c6416957429f711","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1999-01-07T22:20:45Z","title_canon_sha256":"6d720d6664ba267fab7961efa39d80af9ae980577bae035726aedbee5a92e222"},"schema_version":"1.0","source":{"id":"gr-qc/9901021","kind":"arxiv","version":1}},"canonical_sha256":"029d95a7486cd71cda49801aeafb7f333329e5a6b00b282b6c1bf7109700b271","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"029d95a7486cd71cda49801aeafb7f333329e5a6b00b282b6c1bf7109700b271","first_computed_at":"2026-05-18T03:47:41.555485Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:47:41.555485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZJQGThETxw36LBIJR7QCl/Qd4pPEmktpcqmBW+jhemWDGJUjCH6xSeMC9DfpdusmMsHI8MA0s8ykT9+Yi0F5Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:47:41.555990Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9901021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:efab57eed6ef7996e0060e92cb22acf88f362c5890c401c6e848adb64a6e230b","sha256:a6435ac40b72673efc9ad3c97a49a23c2cfd63cd3e79aa73543ad0d298cd1bad"],"state_sha256":"d78f71761cf99c9a89b70cb9ab19c0ff8163c2cfc9dfaa79b0032b8829163ff4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gQXupauNljRkpE34Dmb2yvVtb7DMjSVHUM1H1BSEQF/qNejpxOLsg8A5yq6pD6zcTlbS4yXtr3UvMcT9Zo9fBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T13:15:32.060768Z","bundle_sha256":"dc985c642b83a742d2b95dd57dea55c827d119d9efcbb2eaacd15b448324fb5d"}}