{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:BOELTPCZPAG63IZKO3YW3SYWNY","short_pith_number":"pith:BOELTPCZ","schema_version":"1.0","canonical_sha256":"0b88b9bc59780deda32a76f16dcb166e231857f0f9882c7b6bfa3c421b2aae6e","source":{"kind":"arxiv","id":"2209.13804","version":2},"attestation_state":"computed","paper":{"title":"Shape of the hot topological charge density spectral function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"K. Rummukainen, L. Niemi, M. Laine, S. Procacci","submitted_at":"2022-09-28T03:15:13Z","abstract_excerpt":"After motivating an interest in the shape of the topological charge density spectral function in hot Yang-Mills theories, we estimate it with the help of thermally averaged classical real-time simulations, for $N_{\\rm c} = 2,3$. After subtracting a perturbative contribution at large frequencies, we observe a non-trivial shape at small frequencies (a dip rather than a peak), interpolating smoothly towards the sphaleron rate at zero frequency. Possible frequency scales making an appearance in this shape are discussed. Implications for warm axion inflation and reheating, and for imaginary-time la"},"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":"2209.13804","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-09-28T03:15:13Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"b9d2a8e771f85970a1c3f34f2c68b7db30ff28e56dbbac71db32315435366f15","abstract_canon_sha256":"f70201b14e9ff4f4c61bb3fb3c46fc8a6b83d57120cc1208fa9fdd8cf0ed82c1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:18:07.244046Z","signature_b64":"rAF+GPsemSbKNmZHvOB2Au5JIFy2oBDQqT0EbzUQXJXW+78KRoZrpg3jmsCrvjgkF7ELaAksr5Kp2UEEsom8Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b88b9bc59780deda32a76f16dcb166e231857f0f9882c7b6bfa3c421b2aae6e","last_reissued_at":"2026-07-05T05:18:07.243586Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:18:07.243586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Shape of the hot topological charge density spectral function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"K. Rummukainen, L. Niemi, M. Laine, S. Procacci","submitted_at":"2022-09-28T03:15:13Z","abstract_excerpt":"After motivating an interest in the shape of the topological charge density spectral function in hot Yang-Mills theories, we estimate it with the help of thermally averaged classical real-time simulations, for $N_{\\rm c} = 2,3$. After subtracting a perturbative contribution at large frequencies, we observe a non-trivial shape at small frequencies (a dip rather than a peak), interpolating smoothly towards the sphaleron rate at zero frequency. Possible frequency scales making an appearance in this shape are discussed. Implications for warm axion inflation and reheating, and for imaginary-time la"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.13804","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2209.13804/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":"2209.13804","created_at":"2026-07-05T05:18:07.243642+00:00"},{"alias_kind":"arxiv_version","alias_value":"2209.13804v2","created_at":"2026-07-05T05:18:07.243642+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.13804","created_at":"2026-07-05T05:18:07.243642+00:00"},{"alias_kind":"pith_short_12","alias_value":"BOELTPCZPAG6","created_at":"2026-07-05T05:18:07.243642+00:00"},{"alias_kind":"pith_short_16","alias_value":"BOELTPCZPAG63IZK","created_at":"2026-07-05T05:18:07.243642+00:00"},{"alias_kind":"pith_short_8","alias_value":"BOELTPCZ","created_at":"2026-07-05T05:18:07.243642+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2601.08221","citing_title":"Energy and momentum dependence of the soft-axion interaction rate","ref_index":29,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BOELTPCZPAG63IZKO3YW3SYWNY","json":"https://pith.science/pith/BOELTPCZPAG63IZKO3YW3SYWNY.json","graph_json":"https://pith.science/api/pith-number/BOELTPCZPAG63IZKO3YW3SYWNY/graph.json","events_json":"https://pith.science/api/pith-number/BOELTPCZPAG63IZKO3YW3SYWNY/events.json","paper":"https://pith.science/paper/BOELTPCZ"},"agent_actions":{"view_html":"https://pith.science/pith/BOELTPCZPAG63IZKO3YW3SYWNY","download_json":"https://pith.science/pith/BOELTPCZPAG63IZKO3YW3SYWNY.json","view_paper":"https://pith.science/paper/BOELTPCZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2209.13804&json=true","fetch_graph":"https://pith.science/api/pith-number/BOELTPCZPAG63IZKO3YW3SYWNY/graph.json","fetch_events":"https://pith.science/api/pith-number/BOELTPCZPAG63IZKO3YW3SYWNY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BOELTPCZPAG63IZKO3YW3SYWNY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BOELTPCZPAG63IZKO3YW3SYWNY/action/storage_attestation","attest_author":"https://pith.science/pith/BOELTPCZPAG63IZKO3YW3SYWNY/action/author_attestation","sign_citation":"https://pith.science/pith/BOELTPCZPAG63IZKO3YW3SYWNY/action/citation_signature","submit_replication":"https://pith.science/pith/BOELTPCZPAG63IZKO3YW3SYWNY/action/replication_record"}},"created_at":"2026-07-05T05:18:07.243642+00:00","updated_at":"2026-07-05T05:18:07.243642+00:00"}