{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ES2H5VPDENXIQMW2D2DBNBRW6U","short_pith_number":"pith:ES2H5VPD","schema_version":"1.0","canonical_sha256":"24b47ed5e3236e8832da1e86168636f52d048278b14621de4349cf726ee12cdc","source":{"kind":"arxiv","id":"1005.0873","version":1},"attestation_state":"computed","paper":{"title":"Fermi-edge singularity in the vicinity of the resonant scattering condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"M. E. Raikh, V. V. Mkhitaryan","submitted_at":"2010-05-06T01:45:38Z","abstract_excerpt":"Fermi-edge absorption theory predicting the spectrum, A(\\omega)\\propto \\omega^{-2\\delta_0/\\pi+\\delta^2_0/\\pi^2}, relies on the assumption that scattering phase, \\delta_0, is frequency-independent. Dependence of \\delta_0 on \\omega becomes crucial near the resonant condition, where the phase changes abruptly by \\pi. In this limit, due to finite time spent by electron on a resonant level, the scattering is dynamic. We incorporate this time delay into the theory, solve the Dyson equation with a modified kernel and find that, near the resonance, A(\\omega) behaves as \\omega^{-3/4} |\\ln \\omega|. Reso"},"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":"1005.0873","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-05-06T01:45:38Z","cross_cats_sorted":[],"title_canon_sha256":"dd50b338962041290be7a979917571f48b13c9c380ac0d4948620d5fab5fb415","abstract_canon_sha256":"385f53780921954c25a17e6b01102f0438a0477260c75afe192d8e729320d410"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:21:22.829216Z","signature_b64":"Xs9sbnZhrLv9onWCopCVuYtdIRmOqo7DiCA4oAVdkf7fzXAU8rdYvXJOPC1I0warD04jeRbBuKNWs00CoklHDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24b47ed5e3236e8832da1e86168636f52d048278b14621de4349cf726ee12cdc","last_reissued_at":"2026-05-18T04:21:22.828727Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:21:22.828727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fermi-edge singularity in the vicinity of the resonant scattering condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"M. E. Raikh, V. V. Mkhitaryan","submitted_at":"2010-05-06T01:45:38Z","abstract_excerpt":"Fermi-edge absorption theory predicting the spectrum, A(\\omega)\\propto \\omega^{-2\\delta_0/\\pi+\\delta^2_0/\\pi^2}, relies on the assumption that scattering phase, \\delta_0, is frequency-independent. Dependence of \\delta_0 on \\omega becomes crucial near the resonant condition, where the phase changes abruptly by \\pi. In this limit, due to finite time spent by electron on a resonant level, the scattering is dynamic. We incorporate this time delay into the theory, solve the Dyson equation with a modified kernel and find that, near the resonance, A(\\omega) behaves as \\omega^{-3/4} |\\ln \\omega|. Reso"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.0873","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":""},"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":"1005.0873","created_at":"2026-05-18T04:21:22.828818+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.0873v1","created_at":"2026-05-18T04:21:22.828818+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.0873","created_at":"2026-05-18T04:21:22.828818+00:00"},{"alias_kind":"pith_short_12","alias_value":"ES2H5VPDENXI","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"ES2H5VPDENXIQMW2","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"ES2H5VPD","created_at":"2026-05-18T12:26:06.534383+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ES2H5VPDENXIQMW2D2DBNBRW6U","json":"https://pith.science/pith/ES2H5VPDENXIQMW2D2DBNBRW6U.json","graph_json":"https://pith.science/api/pith-number/ES2H5VPDENXIQMW2D2DBNBRW6U/graph.json","events_json":"https://pith.science/api/pith-number/ES2H5VPDENXIQMW2D2DBNBRW6U/events.json","paper":"https://pith.science/paper/ES2H5VPD"},"agent_actions":{"view_html":"https://pith.science/pith/ES2H5VPDENXIQMW2D2DBNBRW6U","download_json":"https://pith.science/pith/ES2H5VPDENXIQMW2D2DBNBRW6U.json","view_paper":"https://pith.science/paper/ES2H5VPD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.0873&json=true","fetch_graph":"https://pith.science/api/pith-number/ES2H5VPDENXIQMW2D2DBNBRW6U/graph.json","fetch_events":"https://pith.science/api/pith-number/ES2H5VPDENXIQMW2D2DBNBRW6U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ES2H5VPDENXIQMW2D2DBNBRW6U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ES2H5VPDENXIQMW2D2DBNBRW6U/action/storage_attestation","attest_author":"https://pith.science/pith/ES2H5VPDENXIQMW2D2DBNBRW6U/action/author_attestation","sign_citation":"https://pith.science/pith/ES2H5VPDENXIQMW2D2DBNBRW6U/action/citation_signature","submit_replication":"https://pith.science/pith/ES2H5VPDENXIQMW2D2DBNBRW6U/action/replication_record"}},"created_at":"2026-05-18T04:21:22.828818+00:00","updated_at":"2026-05-18T04:21:22.828818+00:00"}