{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:CJOKLFDBNXV5B7VIJNVZLES562","short_pith_number":"pith:CJOKLFDB","canonical_record":{"source":{"id":"gr-qc/0610085","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2006-10-17T15:36:48Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"131dceb41de48aa8eb822d8a4c1b948ed8f8bbd4d3099be87e064ff78f05cb6a","abstract_canon_sha256":"0085efefa33d1141a5a3b2a65ac9d45a3f99505189d44c020ae8f12c95128196"},"schema_version":"1.0"},"canonical_sha256":"125ca594616debd0fea84b6b95925df69798a3c9fc7816605c67bf50eff5ad6d","source":{"kind":"arxiv","id":"gr-qc/0610085","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0610085","created_at":"2026-05-18T03:50:11Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0610085v3","created_at":"2026-05-18T03:50:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0610085","created_at":"2026-05-18T03:50:11Z"},{"alias_kind":"pith_short_12","alias_value":"CJOKLFDBNXV5","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"CJOKLFDBNXV5B7VI","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"CJOKLFDB","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:CJOKLFDBNXV5B7VIJNVZLES562","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0610085","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2006-10-17T15:36:48Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"131dceb41de48aa8eb822d8a4c1b948ed8f8bbd4d3099be87e064ff78f05cb6a","abstract_canon_sha256":"0085efefa33d1141a5a3b2a65ac9d45a3f99505189d44c020ae8f12c95128196"},"schema_version":"1.0"},"canonical_sha256":"125ca594616debd0fea84b6b95925df69798a3c9fc7816605c67bf50eff5ad6d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:50:11.322188Z","signature_b64":"4F6axzlIR9m3exBtTC7tGmVbLB6BeVdLpTHoL72318FqEKwU733MB92A1PGx+/QcIeyCPgCIRo3xm5v9kt0xBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"125ca594616debd0fea84b6b95925df69798a3c9fc7816605c67bf50eff5ad6d","last_reissued_at":"2026-05-18T03:50:11.321594Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:50:11.321594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0610085","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:50:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U3hnj+jI3KHuOdwQ2lFPzeWUyPkdQTRBmklCeUIU6fyf5mrUARolx0uPOFBnMeLkAd1D1v8OlotDgMWQSqolCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:16:21.950460Z"},"content_sha256":"09fa244f7baf2ce25d1db32e80b2c4503fc4cde62e5db95c2e375847fee6c455","schema_version":"1.0","event_id":"sha256:09fa244f7baf2ce25d1db32e80b2c4503fc4cde62e5db95c2e375847fee6c455"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:CJOKLFDBNXV5B7VIJNVZLES562","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Lorentz force equation as Fermi-Walker transport in geometrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Alcides Garat","submitted_at":"2006-10-17T15:36:48Z","abstract_excerpt":"A new tetrad introduced within the framework of geometrodynamics for non-null electromagnetic fields allows for the geometrical analysis of the Lorentz force equation and its solutions in curved spacetimes. When expressed in terms of this new tetrad, the electromagnetic field displays explicitly maximum simplification, and the degrees of freedom are manifestly revealed. In our manuscript we are deducing the Lorentz force equation on purely Riemannian geometrical grounds. The equation arises on the basis of Frenet-Serret analysis through the use of our new tetrads and gauge invariance arguments"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0610085","kind":"arxiv","version":3},"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":"2026-05-18T03:50:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3tnHQT8yK3uhAOr+QzCsUBOVDgdOOdrUVg1/dPljwsUJ0CS7uXpOeATYk9vPY2KhgVtquy/9Ztr5VSjlIlUJDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:16:21.950805Z"},"content_sha256":"a3d769786b2399913624b58d3613b2ba91a265e6ab5a9183ab4f6fd262eb7605","schema_version":"1.0","event_id":"sha256:a3d769786b2399913624b58d3613b2ba91a265e6ab5a9183ab4f6fd262eb7605"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CJOKLFDBNXV5B7VIJNVZLES562/bundle.json","state_url":"https://pith.science/pith/CJOKLFDBNXV5B7VIJNVZLES562/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CJOKLFDBNXV5B7VIJNVZLES562/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":"2026-06-08T12:16:21Z","links":{"resolver":"https://pith.science/pith/CJOKLFDBNXV5B7VIJNVZLES562","bundle":"https://pith.science/pith/CJOKLFDBNXV5B7VIJNVZLES562/bundle.json","state":"https://pith.science/pith/CJOKLFDBNXV5B7VIJNVZLES562/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CJOKLFDBNXV5B7VIJNVZLES562/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:CJOKLFDBNXV5B7VIJNVZLES562","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":"0085efefa33d1141a5a3b2a65ac9d45a3f99505189d44c020ae8f12c95128196","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2006-10-17T15:36:48Z","title_canon_sha256":"131dceb41de48aa8eb822d8a4c1b948ed8f8bbd4d3099be87e064ff78f05cb6a"},"schema_version":"1.0","source":{"id":"gr-qc/0610085","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0610085","created_at":"2026-05-18T03:50:11Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0610085v3","created_at":"2026-05-18T03:50:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0610085","created_at":"2026-05-18T03:50:11Z"},{"alias_kind":"pith_short_12","alias_value":"CJOKLFDBNXV5","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"CJOKLFDBNXV5B7VI","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"CJOKLFDB","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:a3d769786b2399913624b58d3613b2ba91a265e6ab5a9183ab4f6fd262eb7605","target":"graph","created_at":"2026-05-18T03:50:11Z","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":"A new tetrad introduced within the framework of geometrodynamics for non-null electromagnetic fields allows for the geometrical analysis of the Lorentz force equation and its solutions in curved spacetimes. When expressed in terms of this new tetrad, the electromagnetic field displays explicitly maximum simplification, and the degrees of freedom are manifestly revealed. In our manuscript we are deducing the Lorentz force equation on purely Riemannian geometrical grounds. The equation arises on the basis of Frenet-Serret analysis through the use of our new tetrads and gauge invariance arguments","authors_text":"Alcides Garat","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2006-10-17T15:36:48Z","title":"The Lorentz force equation as Fermi-Walker transport in geometrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0610085","kind":"arxiv","version":3},"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":"sha256:09fa244f7baf2ce25d1db32e80b2c4503fc4cde62e5db95c2e375847fee6c455","target":"record","created_at":"2026-05-18T03:50:11Z","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":"0085efefa33d1141a5a3b2a65ac9d45a3f99505189d44c020ae8f12c95128196","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2006-10-17T15:36:48Z","title_canon_sha256":"131dceb41de48aa8eb822d8a4c1b948ed8f8bbd4d3099be87e064ff78f05cb6a"},"schema_version":"1.0","source":{"id":"gr-qc/0610085","kind":"arxiv","version":3}},"canonical_sha256":"125ca594616debd0fea84b6b95925df69798a3c9fc7816605c67bf50eff5ad6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"125ca594616debd0fea84b6b95925df69798a3c9fc7816605c67bf50eff5ad6d","first_computed_at":"2026-05-18T03:50:11.321594Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:50:11.321594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4F6axzlIR9m3exBtTC7tGmVbLB6BeVdLpTHoL72318FqEKwU733MB92A1PGx+/QcIeyCPgCIRo3xm5v9kt0xBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:50:11.322188Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0610085","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09fa244f7baf2ce25d1db32e80b2c4503fc4cde62e5db95c2e375847fee6c455","sha256:a3d769786b2399913624b58d3613b2ba91a265e6ab5a9183ab4f6fd262eb7605"],"state_sha256":"80c16100792f81f3bf849de39cad011e4161aee26a45c383b997977107759e01"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l0YIU8IVTMgVMZjuFcjVMI97aoKn/CwauRK0SjXOYhyWt93Pm7VGbSSDMHK44/B2/o7actJf6oHr7I2QoquOAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T12:16:21.952941Z","bundle_sha256":"44b19a03573bff5ae18c6bccfa7e35605a59f6f4818646261421f80279157dd2"}}