{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:ZG72SD263WQMBPZFI3NG2MU2JT","short_pith_number":"pith:ZG72SD26","canonical_record":{"source":{"id":"gr-qc/0002059","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2000-02-16T22:16:07Z","cross_cats_sorted":[],"title_canon_sha256":"e561c82a27f41cb0e9a142b219c331beb2b6402688c61a9a177c7eace402468b","abstract_canon_sha256":"75f5ffa3f1ab972131dbb22f1c7436c42a77e612c35032ca4df45b4886f0697f"},"schema_version":"1.0"},"canonical_sha256":"c9bfa90f5edda0c0bf2546da6d329a4cf64e8aec07c228f05822f2e54b5554cb","source":{"kind":"arxiv","id":"gr-qc/0002059","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0002059","created_at":"2026-07-04T16:19:36Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0002059v2","created_at":"2026-07-04T16:19:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0002059","created_at":"2026-07-04T16:19:36Z"},{"alias_kind":"pith_short_12","alias_value":"ZG72SD263WQM","created_at":"2026-07-04T16:19:36Z"},{"alias_kind":"pith_short_16","alias_value":"ZG72SD263WQMBPZF","created_at":"2026-07-04T16:19:36Z"},{"alias_kind":"pith_short_8","alias_value":"ZG72SD26","created_at":"2026-07-04T16:19:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:ZG72SD263WQMBPZFI3NG2MU2JT","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0002059","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2000-02-16T22:16:07Z","cross_cats_sorted":[],"title_canon_sha256":"e561c82a27f41cb0e9a142b219c331beb2b6402688c61a9a177c7eace402468b","abstract_canon_sha256":"75f5ffa3f1ab972131dbb22f1c7436c42a77e612c35032ca4df45b4886f0697f"},"schema_version":"1.0"},"canonical_sha256":"c9bfa90f5edda0c0bf2546da6d329a4cf64e8aec07c228f05822f2e54b5554cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:19:36.233910Z","signature_b64":"wif/L2bSZDnz+8BpVM9H9xen8+c8CNQgMCbz41LVAj6aMdz3lmIQxOBd69Fae98RLrpmZ8sa4dGOer39pM76Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9bfa90f5edda0c0bf2546da6d329a4cf64e8aec07c228f05822f2e54b5554cb","last_reissued_at":"2026-07-04T16:19:36.233448Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:19:36.233448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0002059","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":"2026-07-04T16:19:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gk6bx1bYTlxcfO/qhEYqk3XWWQUFPf227+vzSL83kz3f6YdR00K+V9dKK3K7jW95mVX83lzn0DarJxUiT5tdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T09:01:17.037669Z"},"content_sha256":"f1917c3b224f565a3baf719f99faceca7f914b0327fabc05e2d4e9db39178c6c","schema_version":"1.0","event_id":"sha256:f1917c3b224f565a3baf719f99faceca7f914b0327fabc05e2d4e9db39178c6c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:ZG72SD263WQMBPZFI3NG2MU2JT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hamiltonian formulation of general relativity in the teleparallel geometry","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"J. F. da Rocha-Neto, J. W. Maluf","submitted_at":"2000-02-16T22:16:07Z","abstract_excerpt":"We establish the Hamiltonian formulation of the teleparallel equivalent of general relativity, without fixing the time gauge condition, by rigorously performing the Legendre transform. The time gauge condition, previously considered, restricts the teleparallel geometry to the three-dimensional spacelike hypersurface. Geometrically, the teleparallel geometry is now extended to the four-dimensional space-time. The resulting Hamiltonian formulation is different from the standard ADM formulation in many aspects, the main one being that the dynamics is now governed by the Hamiltonian constraint H_0"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0002059","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/0002059/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:19:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4fdXs7QRUtHCO9BbClXsswD1hbnQBXsef7tn0C2mpvxBEE5mDJBMIU29gmse12qNGHZf0w6Gmp4A42lXzOE9AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T09:01:17.038167Z"},"content_sha256":"ad0a4f0e9f2946be559a7fb1972167a95ed17eb0d57828dc58d087c6dd1e48a4","schema_version":"1.0","event_id":"sha256:ad0a4f0e9f2946be559a7fb1972167a95ed17eb0d57828dc58d087c6dd1e48a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZG72SD263WQMBPZFI3NG2MU2JT/bundle.json","state_url":"https://pith.science/pith/ZG72SD263WQMBPZFI3NG2MU2JT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZG72SD263WQMBPZFI3NG2MU2JT/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":"2026-08-13T09:01:17Z","links":{"resolver":"https://pith.science/pith/ZG72SD263WQMBPZFI3NG2MU2JT","bundle":"https://pith.science/pith/ZG72SD263WQMBPZFI3NG2MU2JT/bundle.json","state":"https://pith.science/pith/ZG72SD263WQMBPZFI3NG2MU2JT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZG72SD263WQMBPZFI3NG2MU2JT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:ZG72SD263WQMBPZFI3NG2MU2JT","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":"75f5ffa3f1ab972131dbb22f1c7436c42a77e612c35032ca4df45b4886f0697f","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2000-02-16T22:16:07Z","title_canon_sha256":"e561c82a27f41cb0e9a142b219c331beb2b6402688c61a9a177c7eace402468b"},"schema_version":"1.0","source":{"id":"gr-qc/0002059","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0002059","created_at":"2026-07-04T16:19:36Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0002059v2","created_at":"2026-07-04T16:19:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0002059","created_at":"2026-07-04T16:19:36Z"},{"alias_kind":"pith_short_12","alias_value":"ZG72SD263WQM","created_at":"2026-07-04T16:19:36Z"},{"alias_kind":"pith_short_16","alias_value":"ZG72SD263WQMBPZF","created_at":"2026-07-04T16:19:36Z"},{"alias_kind":"pith_short_8","alias_value":"ZG72SD26","created_at":"2026-07-04T16:19:36Z"}],"graph_snapshots":[{"event_id":"sha256:ad0a4f0e9f2946be559a7fb1972167a95ed17eb0d57828dc58d087c6dd1e48a4","target":"graph","created_at":"2026-07-04T16:19:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/gr-qc/0002059/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish the Hamiltonian formulation of the teleparallel equivalent of general relativity, without fixing the time gauge condition, by rigorously performing the Legendre transform. The time gauge condition, previously considered, restricts the teleparallel geometry to the three-dimensional spacelike hypersurface. Geometrically, the teleparallel geometry is now extended to the four-dimensional space-time. The resulting Hamiltonian formulation is different from the standard ADM formulation in many aspects, the main one being that the dynamics is now governed by the Hamiltonian constraint H_0","authors_text":"J. F. da Rocha-Neto, J. W. Maluf","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2000-02-16T22:16:07Z","title":"Hamiltonian formulation of general relativity in the teleparallel geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0002059","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:f1917c3b224f565a3baf719f99faceca7f914b0327fabc05e2d4e9db39178c6c","target":"record","created_at":"2026-07-04T16:19:36Z","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":"75f5ffa3f1ab972131dbb22f1c7436c42a77e612c35032ca4df45b4886f0697f","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2000-02-16T22:16:07Z","title_canon_sha256":"e561c82a27f41cb0e9a142b219c331beb2b6402688c61a9a177c7eace402468b"},"schema_version":"1.0","source":{"id":"gr-qc/0002059","kind":"arxiv","version":2}},"canonical_sha256":"c9bfa90f5edda0c0bf2546da6d329a4cf64e8aec07c228f05822f2e54b5554cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9bfa90f5edda0c0bf2546da6d329a4cf64e8aec07c228f05822f2e54b5554cb","first_computed_at":"2026-07-04T16:19:36.233448Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:19:36.233448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wif/L2bSZDnz+8BpVM9H9xen8+c8CNQgMCbz41LVAj6aMdz3lmIQxOBd69Fae98RLrpmZ8sa4dGOer39pM76Bw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:19:36.233910Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0002059","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1917c3b224f565a3baf719f99faceca7f914b0327fabc05e2d4e9db39178c6c","sha256:ad0a4f0e9f2946be559a7fb1972167a95ed17eb0d57828dc58d087c6dd1e48a4"],"state_sha256":"2469ddf6f00805a1dc73e05f681a6e9f139a4f355b82710b7d37270e7bebff1c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GXDUOouoWzQJ0HJNVNITQ/lkpOavcpPZR9y+nBO1/6UCWQgq8oMMYJ/iQHSBn0Kxgc+Gizhgtz9DSdT7gqFIBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T09:01:17.042142Z","bundle_sha256":"a9ca499190c1b0a6e0146f07c9675c1cd888e73d73d5c857399b2ae19806dbea"}}