{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:RMYED5YXPWLLSK35GCYEBWFCP3","short_pith_number":"pith:RMYED5YX","canonical_record":{"source":{"id":"gr-qc/0403120","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2004-03-31T11:04:58Z","cross_cats_sorted":[],"title_canon_sha256":"d6b3fefb34f127a52678f9f21b48164e2bb9293bf418d5efbb36e989d7cbb6c8","abstract_canon_sha256":"aaf60aa68123de4e6f9e6abc0d624e857e9b5096feaf247d2c0aee9c6c82320b"},"schema_version":"1.0"},"canonical_sha256":"8b3041f7177d96b92b7d30b040d8a27ecff704acf4472ce13c1a392c79293636","source":{"kind":"arxiv","id":"gr-qc/0403120","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0403120","created_at":"2026-05-18T02:27:59Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0403120v2","created_at":"2026-05-18T02:27:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0403120","created_at":"2026-05-18T02:27:59Z"},{"alias_kind":"pith_short_12","alias_value":"RMYED5YXPWLL","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"RMYED5YXPWLLSK35","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"RMYED5YX","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:RMYED5YXPWLLSK35GCYEBWFCP3","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0403120","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2004-03-31T11:04:58Z","cross_cats_sorted":[],"title_canon_sha256":"d6b3fefb34f127a52678f9f21b48164e2bb9293bf418d5efbb36e989d7cbb6c8","abstract_canon_sha256":"aaf60aa68123de4e6f9e6abc0d624e857e9b5096feaf247d2c0aee9c6c82320b"},"schema_version":"1.0"},"canonical_sha256":"8b3041f7177d96b92b7d30b040d8a27ecff704acf4472ce13c1a392c79293636","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:59.040106Z","signature_b64":"NPIMr1alo+lIbL3f+N+1s7PzPGQ9jHkns9xc13qDbq9n4xZir+gG7ojWUYf0LyOYGocF48UOZdP5WqF2Xu1TCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b3041f7177d96b92b7d30b040d8a27ecff704acf4472ce13c1a392c79293636","last_reissued_at":"2026-05-18T02:27:59.039655Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:59.039655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0403120","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:27:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8yCkuYJhFyiWAcuxm95zGw5DBNPwcqVxvYQZyUDxjCkJGe36my7sjy4FbqDZtwgUA1m/Bx560kdpHvoosigTAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:37:06.618883Z"},"content_sha256":"4c0e1e74d8a76c42d37a2fbfff6930a883569c82fa936625b0332fbe64792d8f","schema_version":"1.0","event_id":"sha256:4c0e1e74d8a76c42d37a2fbfff6930a883569c82fa936625b0332fbe64792d8f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:RMYED5YXPWLLSK35GCYEBWFCP3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lagrangian and Hamiltonian for the Bondi-Sachs metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"J. Korbicz, J. Tafel","submitted_at":"2004-03-31T11:04:58Z","abstract_excerpt":"We calculate the Hilbert action for the Bondi-Sachs metrics. It yields the Einstein vacuum equations in a closed form. Following the Dirac approach to constrained systems we investigate the related Hamiltonian formulation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0403120","kind":"arxiv","version":2},"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":"2026-05-18T02:27:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YprgAVJPXnq1v9+NxCRbYJoLq2wwhgHDeMl9SeOGzazygr7FQdEb6M7SehO0qumxGfZSeoKsFruC3BkASDviDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:37:06.619252Z"},"content_sha256":"eb04982e7198cd429a7918666f840fd7ea1b8561c39ebdb1eb7cf2ef5fae6c3e","schema_version":"1.0","event_id":"sha256:eb04982e7198cd429a7918666f840fd7ea1b8561c39ebdb1eb7cf2ef5fae6c3e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RMYED5YXPWLLSK35GCYEBWFCP3/bundle.json","state_url":"https://pith.science/pith/RMYED5YXPWLLSK35GCYEBWFCP3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RMYED5YXPWLLSK35GCYEBWFCP3/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":"2026-06-03T04:37:06Z","links":{"resolver":"https://pith.science/pith/RMYED5YXPWLLSK35GCYEBWFCP3","bundle":"https://pith.science/pith/RMYED5YXPWLLSK35GCYEBWFCP3/bundle.json","state":"https://pith.science/pith/RMYED5YXPWLLSK35GCYEBWFCP3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RMYED5YXPWLLSK35GCYEBWFCP3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:RMYED5YXPWLLSK35GCYEBWFCP3","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":"aaf60aa68123de4e6f9e6abc0d624e857e9b5096feaf247d2c0aee9c6c82320b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2004-03-31T11:04:58Z","title_canon_sha256":"d6b3fefb34f127a52678f9f21b48164e2bb9293bf418d5efbb36e989d7cbb6c8"},"schema_version":"1.0","source":{"id":"gr-qc/0403120","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0403120","created_at":"2026-05-18T02:27:59Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0403120v2","created_at":"2026-05-18T02:27:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0403120","created_at":"2026-05-18T02:27:59Z"},{"alias_kind":"pith_short_12","alias_value":"RMYED5YXPWLL","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"RMYED5YXPWLLSK35","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"RMYED5YX","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:eb04982e7198cd429a7918666f840fd7ea1b8561c39ebdb1eb7cf2ef5fae6c3e","target":"graph","created_at":"2026-05-18T02:27:59Z","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 calculate the Hilbert action for the Bondi-Sachs metrics. It yields the Einstein vacuum equations in a closed form. Following the Dirac approach to constrained systems we investigate the related Hamiltonian formulation.","authors_text":"J. Korbicz, J. Tafel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2004-03-31T11:04:58Z","title":"Lagrangian and Hamiltonian for the Bondi-Sachs metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0403120","kind":"arxiv","version":2},"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":"sha256:4c0e1e74d8a76c42d37a2fbfff6930a883569c82fa936625b0332fbe64792d8f","target":"record","created_at":"2026-05-18T02:27:59Z","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":"aaf60aa68123de4e6f9e6abc0d624e857e9b5096feaf247d2c0aee9c6c82320b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2004-03-31T11:04:58Z","title_canon_sha256":"d6b3fefb34f127a52678f9f21b48164e2bb9293bf418d5efbb36e989d7cbb6c8"},"schema_version":"1.0","source":{"id":"gr-qc/0403120","kind":"arxiv","version":2}},"canonical_sha256":"8b3041f7177d96b92b7d30b040d8a27ecff704acf4472ce13c1a392c79293636","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b3041f7177d96b92b7d30b040d8a27ecff704acf4472ce13c1a392c79293636","first_computed_at":"2026-05-18T02:27:59.039655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:59.039655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NPIMr1alo+lIbL3f+N+1s7PzPGQ9jHkns9xc13qDbq9n4xZir+gG7ojWUYf0LyOYGocF48UOZdP5WqF2Xu1TCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:59.040106Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0403120","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c0e1e74d8a76c42d37a2fbfff6930a883569c82fa936625b0332fbe64792d8f","sha256:eb04982e7198cd429a7918666f840fd7ea1b8561c39ebdb1eb7cf2ef5fae6c3e"],"state_sha256":"d074feec5da91f07ecc5783079e35e5e0ddffde1b4f8e4c290c0c4917d86ab88"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hoavg3sYlzcbQI0H7cYo8V43l+YA0+Urbcwt+oFUuGeHpK4m0w/HmGwrr3Xy33SFeymJXRdiZmOc8dzRNyhqBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T04:37:06.621266Z","bundle_sha256":"116292fc5e4c9d922f05bd23b061aa8834a5fe7d94ffae14840e6b9d9be08f51"}}