{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ABY2LF7BBUROPQJFBJASOSWEA7","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":"95c71547ac5a572871f94f2ba8ca6d1abfbf041bdf2ced82be8889716792d81b","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-09T11:52:06Z","title_canon_sha256":"06ad9146b514500c1b2b20f534a93b3053feb8b3402de5999b292df5fa880af5"},"schema_version":"1.0","source":{"id":"1510.02640","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02640","created_at":"2026-05-18T01:13:24Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02640v2","created_at":"2026-05-18T01:13:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02640","created_at":"2026-05-18T01:13:24Z"},{"alias_kind":"pith_short_12","alias_value":"ABY2LF7BBURO","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"ABY2LF7BBUROPQJF","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"ABY2LF7B","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:d17e3707596392971dfdbc07720684512fbfe9dca20c52d9b3c14606b590ad9a","target":"graph","created_at":"2026-05-18T01:13:24Z","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":"An explicit construction is given of field operators satisfying the free Dirac equation. The quantum expectation of these field operators forms a spinor which satisfies the original Dirac equation. The current operators are defined as pair correlation functions. Explicit expressions in terms of creation and annihilation operators are obtained. A small example shows that all relevant quantities are mathematically well-defined.","authors_text":"Jan Naudts","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-09T11:52:06Z","title":"Reducible Quantum Electrodynamics. II. The charged states of the vacuum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02640","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":"sha256:53e4ca8f2318b0bedcbd60e8f5c7f19a62456768a43d6026a7d80bb3a517d2bd","target":"record","created_at":"2026-05-18T01:13:24Z","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":"95c71547ac5a572871f94f2ba8ca6d1abfbf041bdf2ced82be8889716792d81b","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-09T11:52:06Z","title_canon_sha256":"06ad9146b514500c1b2b20f534a93b3053feb8b3402de5999b292df5fa880af5"},"schema_version":"1.0","source":{"id":"1510.02640","kind":"arxiv","version":2}},"canonical_sha256":"0071a597e10d22e7c1250a41274ac407e11a857ee671bb29bd1194b3f296ed2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0071a597e10d22e7c1250a41274ac407e11a857ee671bb29bd1194b3f296ed2a","first_computed_at":"2026-05-18T01:13:24.019505Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:24.019505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"STFgW54sObsKsvRJjl3N7BloK35DhCxUsD08bra4SpU3IHHUvNwA47zpeRbCx0HkIYZxofjAKr39hXz2eoXtAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:24.020029Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.02640","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53e4ca8f2318b0bedcbd60e8f5c7f19a62456768a43d6026a7d80bb3a517d2bd","sha256:d17e3707596392971dfdbc07720684512fbfe9dca20c52d9b3c14606b590ad9a"],"state_sha256":"06205f99bc0f4e43a7f1ae23b4fc7b7291e8fce304bec115d8d824bd41c13634"}