{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:73E6YTCYH5D4PJSFJVTYWN2VP5","short_pith_number":"pith:73E6YTCY","schema_version":"1.0","canonical_sha256":"fec9ec4c583f47c7a6454d678b37557f4f69a9797fcdee45987407ef01908cff","source":{"kind":"arxiv","id":"2202.02062","version":1},"attestation_state":"computed","paper":{"title":"Stochastic Effects in Axion Inflation and Primordial Black Holes Formation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Alireza Talebian, Amin Nassiri-Rad, Hassan Firouzjahi","submitted_at":"2022-02-04T10:22:10Z","abstract_excerpt":"We revisit the model of axion inflation in the context of stochastic inflation and investigate the effects of the stochastic noises associated to the electromagnetic fields. Because of the parity violating interaction, one polarization of the gauge field is amplified inducing large curvature perturbation power spectrum. Taking into account the stochastic kicks arising from the short modes at the time of horizon crossing we obtain the corresponding Langevin equations for the long modes of the electromagnetic and axion fields. It is shown that a mean-reverting process governs the dynamics of 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":"2202.02062","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-02-04T10:22:10Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"8d7fd0f48b6a7164b3c96b41627a2bc11f439b0e8190a7259b8e4e63e5d4c024","abstract_canon_sha256":"3265693cad13efd7ff60ab1fa05ee560e26a42cc822cd12c542b8d73a8c0b183"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:25:54.611826Z","signature_b64":"nZ9R40lrOwkD/mSAHeQeTJ8GiQWsYuNh3Br3NUhCESJNc0q5HetiLVDN691mRUPF3CX9W/bZv2d54mWKlAGyCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fec9ec4c583f47c7a6454d678b37557f4f69a9797fcdee45987407ef01908cff","last_reissued_at":"2026-07-05T04:25:54.611335Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:25:54.611335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic Effects in Axion Inflation and Primordial Black Holes Formation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Alireza Talebian, Amin Nassiri-Rad, Hassan Firouzjahi","submitted_at":"2022-02-04T10:22:10Z","abstract_excerpt":"We revisit the model of axion inflation in the context of stochastic inflation and investigate the effects of the stochastic noises associated to the electromagnetic fields. Because of the parity violating interaction, one polarization of the gauge field is amplified inducing large curvature perturbation power spectrum. Taking into account the stochastic kicks arising from the short modes at the time of horizon crossing we obtain the corresponding Langevin equations for the long modes of the electromagnetic and axion fields. It is shown that a mean-reverting process governs the dynamics of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.02062","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/2202.02062/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":"2202.02062","created_at":"2026-07-05T04:25:54.611396+00:00"},{"alias_kind":"arxiv_version","alias_value":"2202.02062v1","created_at":"2026-07-05T04:25:54.611396+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.02062","created_at":"2026-07-05T04:25:54.611396+00:00"},{"alias_kind":"pith_short_12","alias_value":"73E6YTCYH5D4","created_at":"2026-07-05T04:25:54.611396+00:00"},{"alias_kind":"pith_short_16","alias_value":"73E6YTCYH5D4PJSF","created_at":"2026-07-05T04:25:54.611396+00:00"},{"alias_kind":"pith_short_8","alias_value":"73E6YTCY","created_at":"2026-07-05T04:25:54.611396+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.13674","citing_title":"Axion Inflation from Heavy-Fermion One-Loop Effects","ref_index":51,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/73E6YTCYH5D4PJSFJVTYWN2VP5","json":"https://pith.science/pith/73E6YTCYH5D4PJSFJVTYWN2VP5.json","graph_json":"https://pith.science/api/pith-number/73E6YTCYH5D4PJSFJVTYWN2VP5/graph.json","events_json":"https://pith.science/api/pith-number/73E6YTCYH5D4PJSFJVTYWN2VP5/events.json","paper":"https://pith.science/paper/73E6YTCY"},"agent_actions":{"view_html":"https://pith.science/pith/73E6YTCYH5D4PJSFJVTYWN2VP5","download_json":"https://pith.science/pith/73E6YTCYH5D4PJSFJVTYWN2VP5.json","view_paper":"https://pith.science/paper/73E6YTCY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2202.02062&json=true","fetch_graph":"https://pith.science/api/pith-number/73E6YTCYH5D4PJSFJVTYWN2VP5/graph.json","fetch_events":"https://pith.science/api/pith-number/73E6YTCYH5D4PJSFJVTYWN2VP5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/73E6YTCYH5D4PJSFJVTYWN2VP5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/73E6YTCYH5D4PJSFJVTYWN2VP5/action/storage_attestation","attest_author":"https://pith.science/pith/73E6YTCYH5D4PJSFJVTYWN2VP5/action/author_attestation","sign_citation":"https://pith.science/pith/73E6YTCYH5D4PJSFJVTYWN2VP5/action/citation_signature","submit_replication":"https://pith.science/pith/73E6YTCYH5D4PJSFJVTYWN2VP5/action/replication_record"}},"created_at":"2026-07-05T04:25:54.611396+00:00","updated_at":"2026-07-05T04:25:54.611396+00:00"}