{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YKVIK7YGH7UQTWNOZXADFE2SHX","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":"2e250ef1a02d3524c8509805d1f73c285b4df0b97d61a2d910b60b9ec613d516","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-06-24T13:05:56Z","title_canon_sha256":"b336b97df60ae38505547d14b95b801ee58d12d1fd129072ff5ae4ebdbb6fdd9"},"schema_version":"1.0","source":{"id":"1106.4962","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4962","created_at":"2026-05-18T04:19:22Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4962v1","created_at":"2026-05-18T04:19:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4962","created_at":"2026-05-18T04:19:22Z"},{"alias_kind":"pith_short_12","alias_value":"YKVIK7YGH7UQ","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YKVIK7YGH7UQTWNO","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YKVIK7YG","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:ef466bcc427bd58ceceea80199947175383b8df4c92ac7fe7a011214d5d28d48","target":"graph","created_at":"2026-05-18T04:19:22Z","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":"It is assumed that long range coherent magnetic fields in the universe were spontaneously generated at high temperature due to vacuum polarization of non-Abelian gauge fields, and resulted in the present intergalaxy magnetic field. The zero value of the screening mass for fields of this type was discovered recently. Here, a procedure to estimate the field strengths at different temperatures is developed and the lower bound on the magnetic field strength $B \\sim 10^{14} G$, at the electroweak phase transition temperature, is derived. As a particular case, the standard model is considered. Some ","authors_text":"E.Elizalde, V.Skalozub","cross_cats":["astro-ph.HE","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-06-24T13:05:56Z","title":"Lower bound on the magnetic field strength in the hot universe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4962","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":"sha256:6cb1ea643a4b75c5ba8896cbc2e6082620fff0fd77b9f2d7765e3fb95b60add5","target":"record","created_at":"2026-05-18T04:19:22Z","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":"2e250ef1a02d3524c8509805d1f73c285b4df0b97d61a2d910b60b9ec613d516","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-06-24T13:05:56Z","title_canon_sha256":"b336b97df60ae38505547d14b95b801ee58d12d1fd129072ff5ae4ebdbb6fdd9"},"schema_version":"1.0","source":{"id":"1106.4962","kind":"arxiv","version":1}},"canonical_sha256":"c2aa857f063fe909d9aecdc03293523dfbecae4bf763c42449ff476d441fd0d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2aa857f063fe909d9aecdc03293523dfbecae4bf763c42449ff476d441fd0d8","first_computed_at":"2026-05-18T04:19:22.662160Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:22.662160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A+cUaq/ruU9t+iYE18/RrztY4vJ+SsooL2D0JZ3q6STcSpTnd2dqkaZoJWB1FmLr7xFFV5YKKf8Ede5KWm6FBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:22.662624Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.4962","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cb1ea643a4b75c5ba8896cbc2e6082620fff0fd77b9f2d7765e3fb95b60add5","sha256:ef466bcc427bd58ceceea80199947175383b8df4c92ac7fe7a011214d5d28d48"],"state_sha256":"4944f2d9c23c952049a6acc1936a4b017f81d91b6eb95cea669f291b9d3f4bb9"}