{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:J7GIMZTC2ZYPK2O4NUS6PQWZ2I","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":"82e5d61f495bff00f16d8e3ad49b408861c37c9c8c32620e39440f8d081efc6a","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2004-12-21T17:36:22Z","title_canon_sha256":"a6694377d492c8d8969467af1ab60f9fb6de5367e4986d0ffa5c1d0ef31c5ea9"},"schema_version":"1.0","source":{"id":"math-ph/0412076","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0412076","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0412076v1","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0412076","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"pith_short_12","alias_value":"J7GIMZTC2ZYP","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"J7GIMZTC2ZYPK2O4","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"J7GIMZTC","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:2422781dab67033b532d6f96c2305d8bcb9386719c454eb3ac7bc124662ff25b","target":"graph","created_at":"2026-05-18T02:41:10Z","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":"This paper is the third of a series of three, and it is the continuation of math-ph/0412074 and math-ph/0412075. After reviewing the conformal spacetime structure, conformal maps are described in Minkowski spacetime as the twisted adjoint representation of the group Spin_+(2,4), acting on paravectors. Twistors are then presented via the paravector model of Clifford algebras and related to conformal maps in the Clifford algebra over the lorentzian R{4,1}$ spacetime. We construct twistors in Minkowski spacetime as algebraic spinors associated with the Dirac-Clifford algebra Cl(1,3)(C) using one ","authors_text":"Jayme Vaz Jr, Roldao da Rocha","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2004-12-21T17:36:22Z","title":"Revisiting Clifford algebras and spinors III: conformal structures and twistors in the paravector model of spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0412076","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":"sha256:6b81325dd8208fedc246e082e07b639449284ec9880480e0d8e76bde2c9406fc","target":"record","created_at":"2026-05-18T02:41:10Z","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":"82e5d61f495bff00f16d8e3ad49b408861c37c9c8c32620e39440f8d081efc6a","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2004-12-21T17:36:22Z","title_canon_sha256":"a6694377d492c8d8969467af1ab60f9fb6de5367e4986d0ffa5c1d0ef31c5ea9"},"schema_version":"1.0","source":{"id":"math-ph/0412076","kind":"arxiv","version":1}},"canonical_sha256":"4fcc866662d670f569dc6d25e7c2d9d21c375d2615655950aa349b8b469a90a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fcc866662d670f569dc6d25e7c2d9d21c375d2615655950aa349b8b469a90a9","first_computed_at":"2026-05-18T02:41:10.504457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:10.504457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cLRf1dyk+Yr9nb3fwiPkSWathUD/4/g6q8BOetdqSJIPI+mdiTJtRsKS20XdAf+zyJPoEYq72LQpAMJ4RetkBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:10.505085Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0412076","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b81325dd8208fedc246e082e07b639449284ec9880480e0d8e76bde2c9406fc","sha256:2422781dab67033b532d6f96c2305d8bcb9386719c454eb3ac7bc124662ff25b"],"state_sha256":"14c665a48e3bb2744345c53c5c452c1429b95c3cf60ecd38ae6c5c09e85b7d60"}