{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EAXKNHJMZZAWSNVLL4LL6ODJHZ","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":"7a930666849b5bb01cf4c94cd2ea48418fa1079ab2ccd8f4c623836763d966fa","cross_cats_sorted":["math.FA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-06-02T19:25:29Z","title_canon_sha256":"83e5e1c6ce1eb1d029ba5ff493b3bb44a27eaa28eb5542e79a12752684202eb8"},"schema_version":"1.0","source":{"id":"2606.04162","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.04162","created_at":"2026-06-04T01:08:18Z"},{"alias_kind":"arxiv_version","alias_value":"2606.04162v1","created_at":"2026-06-04T01:08:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.04162","created_at":"2026-06-04T01:08:18Z"},{"alias_kind":"pith_short_12","alias_value":"EAXKNHJMZZAW","created_at":"2026-06-04T01:08:18Z"},{"alias_kind":"pith_short_16","alias_value":"EAXKNHJMZZAWSNVL","created_at":"2026-06-04T01:08:18Z"},{"alias_kind":"pith_short_8","alias_value":"EAXKNHJM","created_at":"2026-06-04T01:08:18Z"}],"graph_snapshots":[{"event_id":"sha256:f3a1198cff4f03bd57c1b138673da1567e77a5f417d6b480b4c924d05f8857ab","target":"graph","created_at":"2026-06-04T01:08:18Z","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/2606.04162/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the Dirac equation in a real setting to show its close relationship to Maxwell's equation. In addition to analysing the classical Dirac mass term, we also inspect the alternative Majorana mass term and discuss their quaternionic structure and its consequences.","authors_text":"Marcus Waurick, Rainer Picard, Sascha Trostorff","cross_cats":["math.FA","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-06-02T19:25:29Z","title":"An Elementary Perspective on the Dirac Equation and its Closest Relatives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.04162","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":"sha256:6bf36f056358403fe830e83e0c8f6d46acfdccd06ed982936fc6c0cb78dea8a0","target":"record","created_at":"2026-06-04T01:08:18Z","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":"7a930666849b5bb01cf4c94cd2ea48418fa1079ab2ccd8f4c623836763d966fa","cross_cats_sorted":["math.FA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-06-02T19:25:29Z","title_canon_sha256":"83e5e1c6ce1eb1d029ba5ff493b3bb44a27eaa28eb5542e79a12752684202eb8"},"schema_version":"1.0","source":{"id":"2606.04162","kind":"arxiv","version":1}},"canonical_sha256":"202ea69d2cce416936ab5f16bf38693e46a37f1645ad91d3268afc8ab069319d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"202ea69d2cce416936ab5f16bf38693e46a37f1645ad91d3268afc8ab069319d","first_computed_at":"2026-06-04T01:08:18.366976Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T01:08:18.366976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4/BJFBVSsB2D6uujTZcF7TVEHwWvj8Gd6LJdLrkjUJgGW3cpCITtxjj2QczVwTGpDTtY/38P44h3PBLd04v6Dg==","signature_status":"signed_v1","signed_at":"2026-06-04T01:08:18.367955Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.04162","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6bf36f056358403fe830e83e0c8f6d46acfdccd06ed982936fc6c0cb78dea8a0","sha256:f3a1198cff4f03bd57c1b138673da1567e77a5f417d6b480b4c924d05f8857ab"],"state_sha256":"93e8fc373380cf77b18a9e91ede99587a4bc1650e6005d2bf092bcca22e5061b"}