{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:WG6BNKNPLO2YG44OEQCEB2Z33K","short_pith_number":"pith:WG6BNKNP","canonical_record":{"source":{"id":"1903.00140","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-03-01T03:13:58Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"21f400fb54ca97152421ac0f2c48419c902f79aa69cd2d6a9e1f303c2b105665","abstract_canon_sha256":"aebc75a0f5693a4b8e4f5dc413c7ec051bdddfdff12b5fb08bf8ff20adcd67c1"},"schema_version":"1.0"},"canonical_sha256":"b1bc16a9af5bb583738e240440eb3bdab8a053b18c0269846c2fe8d877f1d372","source":{"kind":"arxiv","id":"1903.00140","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.00140","created_at":"2026-05-17T23:49:01Z"},{"alias_kind":"arxiv_version","alias_value":"1903.00140v1","created_at":"2026-05-17T23:49:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.00140","created_at":"2026-05-17T23:49:01Z"},{"alias_kind":"pith_short_12","alias_value":"WG6BNKNPLO2Y","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"WG6BNKNPLO2YG44O","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"WG6BNKNP","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:WG6BNKNPLO2YG44OEQCEB2Z33K","target":"record","payload":{"canonical_record":{"source":{"id":"1903.00140","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-03-01T03:13:58Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"21f400fb54ca97152421ac0f2c48419c902f79aa69cd2d6a9e1f303c2b105665","abstract_canon_sha256":"aebc75a0f5693a4b8e4f5dc413c7ec051bdddfdff12b5fb08bf8ff20adcd67c1"},"schema_version":"1.0"},"canonical_sha256":"b1bc16a9af5bb583738e240440eb3bdab8a053b18c0269846c2fe8d877f1d372","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:01.740054Z","signature_b64":"bgUQwXkPbFrfUtjP1EhR2YPavgMtwU+YsUpORzSfcmcYxDWJpo7bobums4VGLKxdyxrdYHrIGIaU7X1G88kKAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1bc16a9af5bb583738e240440eb3bdab8a053b18c0269846c2fe8d877f1d372","last_reissued_at":"2026-05-17T23:49:01.739656Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:01.739656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.00140","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":"2026-05-17T23:49:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+5FsqouI+2AZ3TNrzkY3jfUulGFY0o+uv2rq5cyZz1ighayDJEoUtBOcfXaoeT1eYWv9VHphdYyHj9kdmziWCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:46:59.931101Z"},"content_sha256":"a477192db555fa7349b52a02cd96c7d86e269ecfb5dc7f8ab74ef4bf8f23c474","schema_version":"1.0","event_id":"sha256:a477192db555fa7349b52a02cd96c7d86e269ecfb5dc7f8ab74ef4bf8f23c474"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:WG6BNKNPLO2YG44OEQCEB2Z33K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear Degeneracy of the First-Order Generalized-Harmonic Einstein System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Lee Lindblom, Li-Wei Ji, Zhoujian Cao","submitted_at":"2019-03-01T03:13:58Z","abstract_excerpt":"The purpose of this note is to clarify the conditions under which the first-order generalize-harmonic representation of the vacuum Einstein evolution system is linearly degenerate."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.00140","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":"2026-05-17T23:49:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"84tQeut3FqpQvsT/+Ngtk6O8YolzaR5rkRE5b1fCQprTh/DCZ2gzqDVEYZJkMNxplUrzHaL9lpZ7uRg58fOOAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:46:59.931466Z"},"content_sha256":"65b3db34720284f4c16689e5a0d30824ce45be98742fcff02a794db396b61147","schema_version":"1.0","event_id":"sha256:65b3db34720284f4c16689e5a0d30824ce45be98742fcff02a794db396b61147"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WG6BNKNPLO2YG44OEQCEB2Z33K/bundle.json","state_url":"https://pith.science/pith/WG6BNKNPLO2YG44OEQCEB2Z33K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WG6BNKNPLO2YG44OEQCEB2Z33K/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":"2026-06-23T13:46:59Z","links":{"resolver":"https://pith.science/pith/WG6BNKNPLO2YG44OEQCEB2Z33K","bundle":"https://pith.science/pith/WG6BNKNPLO2YG44OEQCEB2Z33K/bundle.json","state":"https://pith.science/pith/WG6BNKNPLO2YG44OEQCEB2Z33K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WG6BNKNPLO2YG44OEQCEB2Z33K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:WG6BNKNPLO2YG44OEQCEB2Z33K","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":"aebc75a0f5693a4b8e4f5dc413c7ec051bdddfdff12b5fb08bf8ff20adcd67c1","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-03-01T03:13:58Z","title_canon_sha256":"21f400fb54ca97152421ac0f2c48419c902f79aa69cd2d6a9e1f303c2b105665"},"schema_version":"1.0","source":{"id":"1903.00140","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.00140","created_at":"2026-05-17T23:49:01Z"},{"alias_kind":"arxiv_version","alias_value":"1903.00140v1","created_at":"2026-05-17T23:49:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.00140","created_at":"2026-05-17T23:49:01Z"},{"alias_kind":"pith_short_12","alias_value":"WG6BNKNPLO2Y","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"WG6BNKNPLO2YG44O","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"WG6BNKNP","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:65b3db34720284f4c16689e5a0d30824ce45be98742fcff02a794db396b61147","target":"graph","created_at":"2026-05-17T23:49:01Z","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 purpose of this note is to clarify the conditions under which the first-order generalize-harmonic representation of the vacuum Einstein evolution system is linearly degenerate.","authors_text":"Lee Lindblom, Li-Wei Ji, Zhoujian Cao","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-03-01T03:13:58Z","title":"Linear Degeneracy of the First-Order Generalized-Harmonic Einstein System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.00140","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:a477192db555fa7349b52a02cd96c7d86e269ecfb5dc7f8ab74ef4bf8f23c474","target":"record","created_at":"2026-05-17T23:49:01Z","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":"aebc75a0f5693a4b8e4f5dc413c7ec051bdddfdff12b5fb08bf8ff20adcd67c1","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-03-01T03:13:58Z","title_canon_sha256":"21f400fb54ca97152421ac0f2c48419c902f79aa69cd2d6a9e1f303c2b105665"},"schema_version":"1.0","source":{"id":"1903.00140","kind":"arxiv","version":1}},"canonical_sha256":"b1bc16a9af5bb583738e240440eb3bdab8a053b18c0269846c2fe8d877f1d372","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1bc16a9af5bb583738e240440eb3bdab8a053b18c0269846c2fe8d877f1d372","first_computed_at":"2026-05-17T23:49:01.739656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:01.739656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bgUQwXkPbFrfUtjP1EhR2YPavgMtwU+YsUpORzSfcmcYxDWJpo7bobums4VGLKxdyxrdYHrIGIaU7X1G88kKAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:01.740054Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.00140","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a477192db555fa7349b52a02cd96c7d86e269ecfb5dc7f8ab74ef4bf8f23c474","sha256:65b3db34720284f4c16689e5a0d30824ce45be98742fcff02a794db396b61147"],"state_sha256":"880529bb380946bc34747f6cbb29dc3b20a46c3acbfb1f98d7330fa4b35e09c7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dIttikvCrJHZBD4zM2lrlXf5rKBF5Oclqu6JChS3UZJzzQcYmW6kyMkXWQsXw40B2thGlbocXAVscyQLSxeNCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T13:46:59.933446Z","bundle_sha256":"9168ee44ed8dff9e95534f4cb8d2be61c7b33acdf4a940975f01ab8e331de18a"}}