{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:VBRESRC4VFPXNOJH6V3VUP2SSD","short_pith_number":"pith:VBRESRC4","canonical_record":{"source":{"id":"gr-qc/9906109","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1999-06-26T14:06:34Z","cross_cats_sorted":[],"title_canon_sha256":"4e22a02e524be07f988c971020b34fed7704eb9098161929d931525e7a2c162c","abstract_canon_sha256":"e9d3f71e75ec8211c532a988c3f7dad539e9ad0a0f265df49a3e495fb65ae5b8"},"schema_version":"1.0"},"canonical_sha256":"a86249445ca95f76b927f5775a3f5290f83aa08253e31e62751d570c408efaa3","source":{"kind":"arxiv","id":"gr-qc/9906109","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9906109","created_at":"2026-05-18T00:57:06Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9906109v1","created_at":"2026-05-18T00:57:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9906109","created_at":"2026-05-18T00:57:06Z"},{"alias_kind":"pith_short_12","alias_value":"VBRESRC4VFPX","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"VBRESRC4VFPXNOJH","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"VBRESRC4","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:VBRESRC4VFPXNOJH6V3VUP2SSD","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9906109","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1999-06-26T14:06:34Z","cross_cats_sorted":[],"title_canon_sha256":"4e22a02e524be07f988c971020b34fed7704eb9098161929d931525e7a2c162c","abstract_canon_sha256":"e9d3f71e75ec8211c532a988c3f7dad539e9ad0a0f265df49a3e495fb65ae5b8"},"schema_version":"1.0"},"canonical_sha256":"a86249445ca95f76b927f5775a3f5290f83aa08253e31e62751d570c408efaa3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:06.363299Z","signature_b64":"wkdydCkCkZxzlL15PR5Vm6csaDSUJ7zrZFeAz9Or50mQwRavXjgIYsBMq4p/iYJh8iwvA0ay/SbaFyYDUAWcBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a86249445ca95f76b927f5775a3f5290f83aa08253e31e62751d570c408efaa3","last_reissued_at":"2026-05-18T00:57:06.362733Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:06.362733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9906109","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":"2026-05-18T00:57:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JL641ol1vY1FiIdMZfj4qlOualPFfOV0XANPr1kdkvrvaoIabdvzXDfNUiItGFi+MAEEkFu3vqzSkwmXCgd0Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T09:38:51.542915Z"},"content_sha256":"b8b3d3c6b5e9e94843807080797dd99eb8631dc72d67c6222c1f7c1d635dfbf0","schema_version":"1.0","event_id":"sha256:b8b3d3c6b5e9e94843807080797dd99eb8631dc72d67c6222c1f7c1d635dfbf0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:VBRESRC4VFPXNOJH6V3VUP2SSD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New Supplementary Conditions for a Non-Linear Field Theory: General Relativity","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Cosimo Stornaiolo, Giampiero Esposito","submitted_at":"1999-06-26T14:06:34Z","abstract_excerpt":"The Einstein theory of general relativity provides a peculiar example of classical field theory ruled by non-linear partial differential equations. A number of supplementary conditions (more frequently called gauge conditions) have also been considered in the literature. In the present paper, starting from the de Donder gauge, which is not conformally invariant but is the gravitational counterpart of the Lorenz gauge, we consider, led by geometric structures on vector bundles, a new family of gauges in general relativity, which involve fifth-order covariant derivatives of metric perturbations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9906109","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":"2026-05-18T00:57:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6WxYm6HlMDIhOWB5eWUjmFz/6WPFPHE7/dsk+SA6UY5DTFYqsRBc6W4m80WECSUzty9M8veNNHon1pgvGzN/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T09:38:51.543516Z"},"content_sha256":"8c2817f057d0a1f6da50d0c87453ce8e15efed0530fb4d0ced9cfe67f2863bff","schema_version":"1.0","event_id":"sha256:8c2817f057d0a1f6da50d0c87453ce8e15efed0530fb4d0ced9cfe67f2863bff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VBRESRC4VFPXNOJH6V3VUP2SSD/bundle.json","state_url":"https://pith.science/pith/VBRESRC4VFPXNOJH6V3VUP2SSD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VBRESRC4VFPXNOJH6V3VUP2SSD/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":"2026-07-01T09:38:51Z","links":{"resolver":"https://pith.science/pith/VBRESRC4VFPXNOJH6V3VUP2SSD","bundle":"https://pith.science/pith/VBRESRC4VFPXNOJH6V3VUP2SSD/bundle.json","state":"https://pith.science/pith/VBRESRC4VFPXNOJH6V3VUP2SSD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VBRESRC4VFPXNOJH6V3VUP2SSD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:VBRESRC4VFPXNOJH6V3VUP2SSD","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":"e9d3f71e75ec8211c532a988c3f7dad539e9ad0a0f265df49a3e495fb65ae5b8","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1999-06-26T14:06:34Z","title_canon_sha256":"4e22a02e524be07f988c971020b34fed7704eb9098161929d931525e7a2c162c"},"schema_version":"1.0","source":{"id":"gr-qc/9906109","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9906109","created_at":"2026-05-18T00:57:06Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9906109v1","created_at":"2026-05-18T00:57:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9906109","created_at":"2026-05-18T00:57:06Z"},{"alias_kind":"pith_short_12","alias_value":"VBRESRC4VFPX","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"VBRESRC4VFPXNOJH","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"VBRESRC4","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:8c2817f057d0a1f6da50d0c87453ce8e15efed0530fb4d0ced9cfe67f2863bff","target":"graph","created_at":"2026-05-18T00:57:06Z","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 Einstein theory of general relativity provides a peculiar example of classical field theory ruled by non-linear partial differential equations. A number of supplementary conditions (more frequently called gauge conditions) have also been considered in the literature. In the present paper, starting from the de Donder gauge, which is not conformally invariant but is the gravitational counterpart of the Lorenz gauge, we consider, led by geometric structures on vector bundles, a new family of gauges in general relativity, which involve fifth-order covariant derivatives of metric perturbations.","authors_text":"Cosimo Stornaiolo, Giampiero Esposito","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1999-06-26T14:06:34Z","title":"New Supplementary Conditions for a Non-Linear Field Theory: General Relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9906109","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:b8b3d3c6b5e9e94843807080797dd99eb8631dc72d67c6222c1f7c1d635dfbf0","target":"record","created_at":"2026-05-18T00:57:06Z","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":"e9d3f71e75ec8211c532a988c3f7dad539e9ad0a0f265df49a3e495fb65ae5b8","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1999-06-26T14:06:34Z","title_canon_sha256":"4e22a02e524be07f988c971020b34fed7704eb9098161929d931525e7a2c162c"},"schema_version":"1.0","source":{"id":"gr-qc/9906109","kind":"arxiv","version":1}},"canonical_sha256":"a86249445ca95f76b927f5775a3f5290f83aa08253e31e62751d570c408efaa3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a86249445ca95f76b927f5775a3f5290f83aa08253e31e62751d570c408efaa3","first_computed_at":"2026-05-18T00:57:06.362733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:06.362733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wkdydCkCkZxzlL15PR5Vm6csaDSUJ7zrZFeAz9Or50mQwRavXjgIYsBMq4p/iYJh8iwvA0ay/SbaFyYDUAWcBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:06.363299Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9906109","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8b3d3c6b5e9e94843807080797dd99eb8631dc72d67c6222c1f7c1d635dfbf0","sha256:8c2817f057d0a1f6da50d0c87453ce8e15efed0530fb4d0ced9cfe67f2863bff"],"state_sha256":"847d78530145d66e5254ebfef0069a26f5b96347b6ab46b50ed769bdf6174672"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XFpShZl0Jo6oKtAfLHrrotI+atVD2sHK6Pw5kHqPGAMEFlSw+dTLBjlgKgJZxgnQZRE041hlC2R8qb7XBP95Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T09:38:51.546794Z","bundle_sha256":"75da9feee002ff164b5c3109d427dd0a012cda1569fa17f09b1001465a19baff"}}