{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LE3ISUDYTME5BQMRVS2DV3WK5T","short_pith_number":"pith:LE3ISUDY","canonical_record":{"source":{"id":"1204.0121","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-31T18:05:47Z","cross_cats_sorted":[],"title_canon_sha256":"4e1da11b27e550ffdc23288b37609d740a8e7a99bfec618e73f0412d56998464","abstract_canon_sha256":"a937983a82d39e953d051955a8c09465305b2da8404041949eb1d46e44a872b6"},"schema_version":"1.0"},"canonical_sha256":"59368950789b09d0c191acb43aeecaecce0edf5394ff7c3a3401f99fdfe6fd1b","source":{"kind":"arxiv","id":"1204.0121","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0121","created_at":"2026-05-18T03:12:58Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0121v2","created_at":"2026-05-18T03:12:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0121","created_at":"2026-05-18T03:12:58Z"},{"alias_kind":"pith_short_12","alias_value":"LE3ISUDYTME5","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LE3ISUDYTME5BQMR","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LE3ISUDY","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LE3ISUDYTME5BQMRVS2DV3WK5T","target":"record","payload":{"canonical_record":{"source":{"id":"1204.0121","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-31T18:05:47Z","cross_cats_sorted":[],"title_canon_sha256":"4e1da11b27e550ffdc23288b37609d740a8e7a99bfec618e73f0412d56998464","abstract_canon_sha256":"a937983a82d39e953d051955a8c09465305b2da8404041949eb1d46e44a872b6"},"schema_version":"1.0"},"canonical_sha256":"59368950789b09d0c191acb43aeecaecce0edf5394ff7c3a3401f99fdfe6fd1b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:58.030102Z","signature_b64":"a7z4nrFi2+HlXmo0ihGbibbRjOkqRkF2xDXnivnIN0OdM7XKoadt+TGgDHZSX9utJd2WtE8woqdj5u3qnwWVDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59368950789b09d0c191acb43aeecaecce0edf5394ff7c3a3401f99fdfe6fd1b","last_reissued_at":"2026-05-18T03:12:58.029483Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:58.029483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.0121","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:12:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LpOC4foPNBgdiwUFxbAJf3kNoMdy4XG552874XoyTGQI8SzT5Lni0BqUgEf/qWgQtLp+rjniDiiTFiD06hC8Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T08:58:24.103124Z"},"content_sha256":"85342dfa33462ad40496bc7ba7f9252ff2c34c7916590928d9986946c6ce752c","schema_version":"1.0","event_id":"sha256:85342dfa33462ad40496bc7ba7f9252ff2c34c7916590928d9986946c6ce752c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LE3ISUDYTME5BQMRVS2DV3WK5T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effective mass of W-boson in a magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"V. V. Skalozub","submitted_at":"2012-03-31T18:05:47Z","abstract_excerpt":"Simple representation for the average value of the W-boson one-loop polarization tensor in a magnetic field B=const, calculated in the ground state of the tree-level spectrum, is derived. It corresponds to Demeur's formula for electron in QED. The energy of this state, describing effective particle mass, is computed by solving the Schwinger-Dyson equation. As application, we investigate the effective mass squared at the threshold of the tree-level instability, $B \\to B_c = m^2/e$, and show that it is positive. In this way the stability of the W-boson spectrum is established. Some peculiarities"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0121","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:12:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bMQZmCJy3zdMc4n8kPaQBZA/biuCQAG07FMNEjOaTPBuL7fFw3sKHYkDA8FKBsbscMfo8hzPs12GoB8IOCZKAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T08:58:24.103482Z"},"content_sha256":"56fe08e4bcc75a860c197be451940c27baffdb9ecb5f28c94517acf8d3abb442","schema_version":"1.0","event_id":"sha256:56fe08e4bcc75a860c197be451940c27baffdb9ecb5f28c94517acf8d3abb442"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LE3ISUDYTME5BQMRVS2DV3WK5T/bundle.json","state_url":"https://pith.science/pith/LE3ISUDYTME5BQMRVS2DV3WK5T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LE3ISUDYTME5BQMRVS2DV3WK5T/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-24T08:58:24Z","links":{"resolver":"https://pith.science/pith/LE3ISUDYTME5BQMRVS2DV3WK5T","bundle":"https://pith.science/pith/LE3ISUDYTME5BQMRVS2DV3WK5T/bundle.json","state":"https://pith.science/pith/LE3ISUDYTME5BQMRVS2DV3WK5T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LE3ISUDYTME5BQMRVS2DV3WK5T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LE3ISUDYTME5BQMRVS2DV3WK5T","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":"a937983a82d39e953d051955a8c09465305b2da8404041949eb1d46e44a872b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-31T18:05:47Z","title_canon_sha256":"4e1da11b27e550ffdc23288b37609d740a8e7a99bfec618e73f0412d56998464"},"schema_version":"1.0","source":{"id":"1204.0121","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0121","created_at":"2026-05-18T03:12:58Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0121v2","created_at":"2026-05-18T03:12:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0121","created_at":"2026-05-18T03:12:58Z"},{"alias_kind":"pith_short_12","alias_value":"LE3ISUDYTME5","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LE3ISUDYTME5BQMR","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LE3ISUDY","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:56fe08e4bcc75a860c197be451940c27baffdb9ecb5f28c94517acf8d3abb442","target":"graph","created_at":"2026-05-18T03:12:58Z","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":"Simple representation for the average value of the W-boson one-loop polarization tensor in a magnetic field B=const, calculated in the ground state of the tree-level spectrum, is derived. It corresponds to Demeur's formula for electron in QED. The energy of this state, describing effective particle mass, is computed by solving the Schwinger-Dyson equation. As application, we investigate the effective mass squared at the threshold of the tree-level instability, $B \\to B_c = m^2/e$, and show that it is positive. In this way the stability of the W-boson spectrum is established. Some peculiarities","authors_text":"V. V. Skalozub","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-31T18:05:47Z","title":"Effective mass of W-boson in a magnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0121","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":"sha256:85342dfa33462ad40496bc7ba7f9252ff2c34c7916590928d9986946c6ce752c","target":"record","created_at":"2026-05-18T03:12:58Z","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":"a937983a82d39e953d051955a8c09465305b2da8404041949eb1d46e44a872b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-31T18:05:47Z","title_canon_sha256":"4e1da11b27e550ffdc23288b37609d740a8e7a99bfec618e73f0412d56998464"},"schema_version":"1.0","source":{"id":"1204.0121","kind":"arxiv","version":2}},"canonical_sha256":"59368950789b09d0c191acb43aeecaecce0edf5394ff7c3a3401f99fdfe6fd1b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59368950789b09d0c191acb43aeecaecce0edf5394ff7c3a3401f99fdfe6fd1b","first_computed_at":"2026-05-18T03:12:58.029483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:58.029483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a7z4nrFi2+HlXmo0ihGbibbRjOkqRkF2xDXnivnIN0OdM7XKoadt+TGgDHZSX9utJd2WtE8woqdj5u3qnwWVDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:58.030102Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0121","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85342dfa33462ad40496bc7ba7f9252ff2c34c7916590928d9986946c6ce752c","sha256:56fe08e4bcc75a860c197be451940c27baffdb9ecb5f28c94517acf8d3abb442"],"state_sha256":"63ee852ed447831d989f99c14aa692a2bae245df533a9d99b1da7069c463d02e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PsOO7CFqQsktti3YxgQt1xYq1nutmA6gMPprAKib4jHN3I/VigXiBIeBLZwSFkOx7J1oqftxw/4d3SKksI6lCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T08:58:24.105393Z","bundle_sha256":"e0050be230be16f5b1b092fc824e0415ee2f26013ee6d953754102c826626dc3"}}