{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZNDLBRO6LUXXN3C2LTPDAQHVLF","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":"141ceb0788aa793659d8c98ae0c6de82d88b5b0c48eab05008fac3123e60a61a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-30T09:11:41Z","title_canon_sha256":"29f609b0d46a2a9432b7957bddefbb993fc6b32c343da534df155e596ed2f8c6"},"schema_version":"1.0","source":{"id":"1506.08999","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.08999","created_at":"2026-05-18T01:35:46Z"},{"alias_kind":"arxiv_version","alias_value":"1506.08999v3","created_at":"2026-05-18T01:35:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08999","created_at":"2026-05-18T01:35:46Z"},{"alias_kind":"pith_short_12","alias_value":"ZNDLBRO6LUXX","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZNDLBRO6LUXXN3C2","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZNDLBRO6","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:d26202457745019cdc745c9f3a94120228205e3987d3165158a234d6b98c8c2e","target":"graph","created_at":"2026-05-18T01:35:46Z","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":"Various forms of expressions for the propagators of charged particles in a constant magnetic field that should be used for investigations of electroweak processes in external uniform magnetic field are discussed. Formulas for the propagators of the Standard Model charged $W$- and scalar $\\Phi$-bosons in an arbitrary $\\xi$-gauge, expanded over Landau levels, are derived for the first time.","authors_text":"A.A. Okrugin, A.M. Shitova (Yaroslavl State P.G. Demidov University, A.V. Kuznetsov, Russia)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-30T09:11:41Z","title":"Propagators of charged particles in an external magnetic field, expanded over Landau levels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08999","kind":"arxiv","version":3},"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:f4fcd343e26e52e0b5e4f423bff31870577fdac85ca626ec5d1206055969dcb6","target":"record","created_at":"2026-05-18T01:35:46Z","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":"141ceb0788aa793659d8c98ae0c6de82d88b5b0c48eab05008fac3123e60a61a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-30T09:11:41Z","title_canon_sha256":"29f609b0d46a2a9432b7957bddefbb993fc6b32c343da534df155e596ed2f8c6"},"schema_version":"1.0","source":{"id":"1506.08999","kind":"arxiv","version":3}},"canonical_sha256":"cb46b0c5de5d2f76ec5a5cde3040f5594278884637f6e4d2106cfd373c82db20","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb46b0c5de5d2f76ec5a5cde3040f5594278884637f6e4d2106cfd373c82db20","first_computed_at":"2026-05-18T01:35:46.330609Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:46.330609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jfueYNi1vJVnIRUGRbCAxoxkhfaQ0QVhQ3Vg79Yox6gu/UoNHPmE5VJfRg8q+HGOg4aEeXT2AB4O+Uy7Ms6KCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:46.331123Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.08999","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4fcd343e26e52e0b5e4f423bff31870577fdac85ca626ec5d1206055969dcb6","sha256:d26202457745019cdc745c9f3a94120228205e3987d3165158a234d6b98c8c2e"],"state_sha256":"d88b6f7ce09a79abb1054cbee1c2060b3bca12b783ce98a1521e99a38f9f8696"}