{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:45TOGYD7TDE7Z336HU6SQSN5ZI","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":"dd4a4523889b6c15a80e7c1ab7c55657c1bdabe6139c725b4699d19dca9b6a84","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-09-11T08:29:30Z","title_canon_sha256":"f0f7f6d26616de4ad76c31e8421d6b4b2138f0f98a6c19bf065b767c975bb991"},"schema_version":"1.0","source":{"id":"hep-th/9509059","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9509059","created_at":"2026-05-18T01:38:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9509059v1","created_at":"2026-05-18T01:38:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9509059","created_at":"2026-05-18T01:38:38Z"},{"alias_kind":"pith_short_12","alias_value":"45TOGYD7TDE7","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"45TOGYD7TDE7Z336","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"45TOGYD7","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:7f3bbdfb7dc5bb7995493cabdc2d398397b21a2e237e02380bca79fac691d877","target":"graph","created_at":"2026-05-18T01:38:38Z","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 discuss the use of the variational principle within quaternionic quantum mechanics. This is non-trivial because of the non commutative nature of quaternions. We derive the Dirac Lagrangian density corresponding to the two-component Dirac equation. This Lagrangian is complex projected as anticipated in previous articles and this feature is necessary even for a classical real Lagrangian.","authors_text":"Pietro Rotelli, Stefano De Leo","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1995-09-11T08:29:30Z","title":"The Quaternionic Dirac Lagrangian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9509059","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:f8059ea6ebbf20a54bffc4d453def2e86249c07fe5751f5ac85d3ba95b3ae51c","target":"record","created_at":"2026-05-18T01:38:38Z","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":"dd4a4523889b6c15a80e7c1ab7c55657c1bdabe6139c725b4699d19dca9b6a84","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-09-11T08:29:30Z","title_canon_sha256":"f0f7f6d26616de4ad76c31e8421d6b4b2138f0f98a6c19bf065b767c975bb991"},"schema_version":"1.0","source":{"id":"hep-th/9509059","kind":"arxiv","version":1}},"canonical_sha256":"e766e3607f98c9fcef7e3d3d2849bdca3764bff0cab4f4fe573e405cced3dac0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e766e3607f98c9fcef7e3d3d2849bdca3764bff0cab4f4fe573e405cced3dac0","first_computed_at":"2026-05-18T01:38:38.836061Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:38.836061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sKAW5I1i3lJ/3CL0xqUbyN2Esd7AQI1jsq+Yu88pschZLBVSYqErPzDIIwCI+RUVzcf26hfnYy4Fb2T+7bGTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:38.836528Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9509059","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8059ea6ebbf20a54bffc4d453def2e86249c07fe5751f5ac85d3ba95b3ae51c","sha256:7f3bbdfb7dc5bb7995493cabdc2d398397b21a2e237e02380bca79fac691d877"],"state_sha256":"9e5ffbf2489cb346d8b2d968a2f788771ba9c03d5946f3b9d1ed198fce1c033d"}