{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:EKDBW5UJBVD7L5IRZQUPDM2URI","short_pith_number":"pith:EKDBW5UJ","schema_version":"1.0","canonical_sha256":"22861b76890d47f5f511cc28f1b3548a3847731bc34d4f2951152a9f0314a934","source":{"kind":"arxiv","id":"hep-ph/0508195","version":1},"attestation_state":"computed","paper":{"title":"Real-time Chern-Simons term for hypermagnetic fields","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M. Laine","submitted_at":"2005-08-18T16:20:17Z","abstract_excerpt":"If non-vanishing chemical potentials are assigned to chiral fermions, then a Chern-Simons term is induced for the corresponding gauge fields. In thermal equilibrium anomalous processes adjust the chemical potentials such that the coefficient of the Chern-Simons term vanishes, but it has been argued that there are non-equilibrium epochs in cosmology where this is not the case and that, consequently, certain fermionic number densities and large-scale (hypermagnetic) field strengths get coupled to each other. We generalise the Chern-Simons term to a real-time situation relevant for dynamical cons"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-ph/0508195","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-08-18T16:20:17Z","cross_cats_sorted":[],"title_canon_sha256":"745420cd545d98dfbaf4f932977ff5fdffdc409161904f18d0cbcddd3b490521","abstract_canon_sha256":"8f8f93cab6b259c58970e4ce80d2c2d1632900d5ed0f65906125c9c2df099102"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:20:47.942488Z","signature_b64":"s1PL62YTdKFTEGUsCGzxg2Cz/pqKHiK06VIioL980tZDsqGgoeAIOlZaIzbv00DibgwW7N9boCrHCYmUmEVVDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22861b76890d47f5f511cc28f1b3548a3847731bc34d4f2951152a9f0314a934","last_reissued_at":"2026-07-04T17:20:47.942054Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:20:47.942054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Real-time Chern-Simons term for hypermagnetic fields","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M. Laine","submitted_at":"2005-08-18T16:20:17Z","abstract_excerpt":"If non-vanishing chemical potentials are assigned to chiral fermions, then a Chern-Simons term is induced for the corresponding gauge fields. In thermal equilibrium anomalous processes adjust the chemical potentials such that the coefficient of the Chern-Simons term vanishes, but it has been argued that there are non-equilibrium epochs in cosmology where this is not the case and that, consequently, certain fermionic number densities and large-scale (hypermagnetic) field strengths get coupled to each other. We generalise the Chern-Simons term to a real-time situation relevant for dynamical cons"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0508195","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0508195/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0508195","created_at":"2026-07-04T17:20:47.942112+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0508195v1","created_at":"2026-07-04T17:20:47.942112+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0508195","created_at":"2026-07-04T17:20:47.942112+00:00"},{"alias_kind":"pith_short_12","alias_value":"EKDBW5UJBVD7","created_at":"2026-07-04T17:20:47.942112+00:00"},{"alias_kind":"pith_short_16","alias_value":"EKDBW5UJBVD7L5IR","created_at":"2026-07-04T17:20:47.942112+00:00"},{"alias_kind":"pith_short_8","alias_value":"EKDBW5UJ","created_at":"2026-07-04T17:20:47.942112+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.10105","citing_title":"Contribution of the chiral vortical effect to the evolution of the hypermagnetic field and the matter-antimatter asymmetry in the early Universe","ref_index":68,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EKDBW5UJBVD7L5IRZQUPDM2URI","json":"https://pith.science/pith/EKDBW5UJBVD7L5IRZQUPDM2URI.json","graph_json":"https://pith.science/api/pith-number/EKDBW5UJBVD7L5IRZQUPDM2URI/graph.json","events_json":"https://pith.science/api/pith-number/EKDBW5UJBVD7L5IRZQUPDM2URI/events.json","paper":"https://pith.science/paper/EKDBW5UJ"},"agent_actions":{"view_html":"https://pith.science/pith/EKDBW5UJBVD7L5IRZQUPDM2URI","download_json":"https://pith.science/pith/EKDBW5UJBVD7L5IRZQUPDM2URI.json","view_paper":"https://pith.science/paper/EKDBW5UJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0508195&json=true","fetch_graph":"https://pith.science/api/pith-number/EKDBW5UJBVD7L5IRZQUPDM2URI/graph.json","fetch_events":"https://pith.science/api/pith-number/EKDBW5UJBVD7L5IRZQUPDM2URI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EKDBW5UJBVD7L5IRZQUPDM2URI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EKDBW5UJBVD7L5IRZQUPDM2URI/action/storage_attestation","attest_author":"https://pith.science/pith/EKDBW5UJBVD7L5IRZQUPDM2URI/action/author_attestation","sign_citation":"https://pith.science/pith/EKDBW5UJBVD7L5IRZQUPDM2URI/action/citation_signature","submit_replication":"https://pith.science/pith/EKDBW5UJBVD7L5IRZQUPDM2URI/action/replication_record"}},"created_at":"2026-07-04T17:20:47.942112+00:00","updated_at":"2026-07-04T17:20:47.942112+00:00"}