{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BAHOIYX3QTOKMJUGKMWODOWKAJ","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":"06c4b1587d4301d58b8cb28f4abdea1615433e6af91c2d5e3574e9580ea51c8b","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-24T13:36:46Z","title_canon_sha256":"1eba98f3b30170db914e3f83d2ae5d39cbf6eabc959ff35f926c9d263962df87"},"schema_version":"1.0","source":{"id":"1111.5755","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.5755","created_at":"2026-05-18T04:07:42Z"},{"alias_kind":"arxiv_version","alias_value":"1111.5755v1","created_at":"2026-05-18T04:07:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.5755","created_at":"2026-05-18T04:07:42Z"},{"alias_kind":"pith_short_12","alias_value":"BAHOIYX3QTOK","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BAHOIYX3QTOKMJUG","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BAHOIYX3","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:3168f4944a91980424887815bbab605384d8d6025fe0b94ba6a5c4c6c05da4ac","target":"graph","created_at":"2026-05-18T04:07:42Z","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 presents a \\emph{non-instant field model} for electrodynamics that permits a causal explanation of the \\emph{Aharonov-Bohm effect} and a \\emph{covariant quantization} of the respective Maxwell equations via the \\emph{Gupta-Bleuler method}. Our model satisfies the following \\emph{correspondence principle}: if $A^\\mu$, $\\vE$, $\\vB$ denote the four potential, the electric field and the magnetic field of the non-instant field model, then the respective classical quantities are $\\A[A^\\mu]$, $\\A[\\vE]$, $\\A[\\vB]$, where $\\A$ is a covariant time averaging operator. Here $\\A[A^\\mu]$ is inter","authors_text":"Richard Kowar","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-24T13:36:46Z","title":"On the causality of electrodynamics and the Aharonov-Bohm effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.5755","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":"sha256:90cf4d32e167526039b25570211e49bf7cb59f1b2ad19565f0b3c2f44533ea04","target":"record","created_at":"2026-05-18T04:07:42Z","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":"06c4b1587d4301d58b8cb28f4abdea1615433e6af91c2d5e3574e9580ea51c8b","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-24T13:36:46Z","title_canon_sha256":"1eba98f3b30170db914e3f83d2ae5d39cbf6eabc959ff35f926c9d263962df87"},"schema_version":"1.0","source":{"id":"1111.5755","kind":"arxiv","version":1}},"canonical_sha256":"080ee462fb84dca62686532ce1baca024db33b1bbd9c59d108b1c1bdb8f61d3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"080ee462fb84dca62686532ce1baca024db33b1bbd9c59d108b1c1bdb8f61d3b","first_computed_at":"2026-05-18T04:07:42.363730Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:42.363730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nAnYjj5qxN/61KrPtIYzhy2kOvjpYK/jzUTyuqEIT+krgsgJHI9IhMiRAlPzSubgS9W2wxWCE6a26RcSaaiLCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:42.364259Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.5755","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90cf4d32e167526039b25570211e49bf7cb59f1b2ad19565f0b3c2f44533ea04","sha256:3168f4944a91980424887815bbab605384d8d6025fe0b94ba6a5c4c6c05da4ac"],"state_sha256":"f6cdd5da96ec5e00fcf267f17db6b2bbe853ec3e9532612c87d1dac45f54aff6"}