{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:E5NHBNLXKSGLWICCYSYT4FWPCO","short_pith_number":"pith:E5NHBNLX","schema_version":"1.0","canonical_sha256":"275a70b577548cbb2042c4b13e16cf13ad3181ccbc1a64b7584dbe3eb2faa040","source":{"kind":"arxiv","id":"1005.5322","version":4},"attestation_state":"computed","paper":{"title":"Can slow roll inflation induce relevant helical magnetic fields?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Lukas Hollenstein, Rajeev Kumar Jain, Ruth Durrer","submitted_at":"2010-05-28T15:49:21Z","abstract_excerpt":"We study the generation of helical magnetic fields during single field inflation induced by an axial coupling of the electromagnetic field to the inflaton. During slow roll inflation, we find that such a coupling always leads to a blue spectrum with $B^2(k) \\propto k$, as long as the theory is treated perturbatively. The magnetic energy density at the end of inflation is found to be typically too small to backreact on the background dynamics of the inflaton. We also show that a short deviation from slow roll does not result in strong modifications to the shape of the spectrum. We calculate the"},"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":"1005.5322","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-05-28T15:49:21Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"0a4403dc9a6339b9ac1c5d6edadc9e33f26080c77d2cf7415359ae9509154a4c","abstract_canon_sha256":"2671ba7392407b441e220b213210d39e6c4dab9c25d63c3bbe6bb40b94b1be78"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:55.832262Z","signature_b64":"7ECjsmj6nnAh5aptFK7Wh/X+c6XLsWdUtyppeLzuqKZts3HgYNrPUALkRkHaNetdoCEWJmMSR+gO8M7lvF/HDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"275a70b577548cbb2042c4b13e16cf13ad3181ccbc1a64b7584dbe3eb2faa040","last_reissued_at":"2026-05-18T02:23:55.831410Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:55.831410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Can slow roll inflation induce relevant helical magnetic fields?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Lukas Hollenstein, Rajeev Kumar Jain, Ruth Durrer","submitted_at":"2010-05-28T15:49:21Z","abstract_excerpt":"We study the generation of helical magnetic fields during single field inflation induced by an axial coupling of the electromagnetic field to the inflaton. During slow roll inflation, we find that such a coupling always leads to a blue spectrum with $B^2(k) \\propto k$, as long as the theory is treated perturbatively. The magnetic energy density at the end of inflation is found to be typically too small to backreact on the background dynamics of the inflaton. We also show that a short deviation from slow roll does not result in strong modifications to the shape of the spectrum. We calculate the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5322","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1005.5322","created_at":"2026-05-18T02:23:55.831566+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.5322v4","created_at":"2026-05-18T02:23:55.831566+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5322","created_at":"2026-05-18T02:23:55.831566+00:00"},{"alias_kind":"pith_short_12","alias_value":"E5NHBNLXKSGL","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"E5NHBNLXKSGLWICC","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"E5NHBNLX","created_at":"2026-05-18T12:26:06.534383+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2510.22592","citing_title":"Probing Axion-Photon conversion via circular polarization imprints in the CMB $V$-mode observations","ref_index":72,"is_internal_anchor":true},{"citing_arxiv_id":"2602.16575","citing_title":"Chiral gravitational waves from multi-phase magnetogenesis","ref_index":49,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/E5NHBNLXKSGLWICCYSYT4FWPCO","json":"https://pith.science/pith/E5NHBNLXKSGLWICCYSYT4FWPCO.json","graph_json":"https://pith.science/api/pith-number/E5NHBNLXKSGLWICCYSYT4FWPCO/graph.json","events_json":"https://pith.science/api/pith-number/E5NHBNLXKSGLWICCYSYT4FWPCO/events.json","paper":"https://pith.science/paper/E5NHBNLX"},"agent_actions":{"view_html":"https://pith.science/pith/E5NHBNLXKSGLWICCYSYT4FWPCO","download_json":"https://pith.science/pith/E5NHBNLXKSGLWICCYSYT4FWPCO.json","view_paper":"https://pith.science/paper/E5NHBNLX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.5322&json=true","fetch_graph":"https://pith.science/api/pith-number/E5NHBNLXKSGLWICCYSYT4FWPCO/graph.json","fetch_events":"https://pith.science/api/pith-number/E5NHBNLXKSGLWICCYSYT4FWPCO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E5NHBNLXKSGLWICCYSYT4FWPCO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E5NHBNLXKSGLWICCYSYT4FWPCO/action/storage_attestation","attest_author":"https://pith.science/pith/E5NHBNLXKSGLWICCYSYT4FWPCO/action/author_attestation","sign_citation":"https://pith.science/pith/E5NHBNLXKSGLWICCYSYT4FWPCO/action/citation_signature","submit_replication":"https://pith.science/pith/E5NHBNLXKSGLWICCYSYT4FWPCO/action/replication_record"}},"created_at":"2026-05-18T02:23:55.831566+00:00","updated_at":"2026-05-18T02:23:55.831566+00:00"}