{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:VLRBMPGZVLEV3DAYDX2PZDSYQA","short_pith_number":"pith:VLRBMPGZ","schema_version":"1.0","canonical_sha256":"aae2163cd9aac95d8c181df4fc8e58800215b6ce9eeee39f7fe7fdd3f7979625","source":{"kind":"arxiv","id":"1607.07990","version":1},"attestation_state":"computed","paper":{"title":"Unified theory of electron-phonon renormalization and phonon-assisted optical absorption","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Christopher E. Patrick, Feliciano Giustino","submitted_at":"2016-07-27T07:29:53Z","abstract_excerpt":"We present a theory of electronic excitation energies and optical absorption spectra which incorporates energy-level renormalization and phonon-assisted optical absorption within a unified framework. Using time-independent perturbation theory we show how the standard approaches for studying vibronic effects in molecules and those for addressing electron-phonon interactions in solids correspond to slightly different choices for the non-interacting Hamiltonian. Our present approach naturally leads to the Allen-Heine theory of temperature-dependent energy levels, the Franck-Condon principle, 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":"1607.07990","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2016-07-27T07:29:53Z","cross_cats_sorted":[],"title_canon_sha256":"4e60567440f2b1d01311274b37d42d0664f86410acbc55f2a032acbc355062db","abstract_canon_sha256":"d532d3e4e8ac9930d800186fc7e40f565fc0fee1aacbdd551cc396c5932512b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:22.781457Z","signature_b64":"a03tbwNmYxT+cZpnPMIgN4ackIbKrZb1mOtppeGhhO8zzS8gGCxgcA2ez+hF8xT6c3foBhCR+mA5b3NjPHfyAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aae2163cd9aac95d8c181df4fc8e58800215b6ce9eeee39f7fe7fdd3f7979625","last_reissued_at":"2026-05-18T01:10:22.781015Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:22.781015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unified theory of electron-phonon renormalization and phonon-assisted optical absorption","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Christopher E. Patrick, Feliciano Giustino","submitted_at":"2016-07-27T07:29:53Z","abstract_excerpt":"We present a theory of electronic excitation energies and optical absorption spectra which incorporates energy-level renormalization and phonon-assisted optical absorption within a unified framework. Using time-independent perturbation theory we show how the standard approaches for studying vibronic effects in molecules and those for addressing electron-phonon interactions in solids correspond to slightly different choices for the non-interacting Hamiltonian. Our present approach naturally leads to the Allen-Heine theory of temperature-dependent energy levels, the Franck-Condon principle, the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07990","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":"1607.07990","created_at":"2026-05-18T01:10:22.781075+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.07990v1","created_at":"2026-05-18T01:10:22.781075+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07990","created_at":"2026-05-18T01:10:22.781075+00:00"},{"alias_kind":"pith_short_12","alias_value":"VLRBMPGZVLEV","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"VLRBMPGZVLEV3DAY","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"VLRBMPGZ","created_at":"2026-05-18T12:30:48.956258+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/VLRBMPGZVLEV3DAYDX2PZDSYQA","json":"https://pith.science/pith/VLRBMPGZVLEV3DAYDX2PZDSYQA.json","graph_json":"https://pith.science/api/pith-number/VLRBMPGZVLEV3DAYDX2PZDSYQA/graph.json","events_json":"https://pith.science/api/pith-number/VLRBMPGZVLEV3DAYDX2PZDSYQA/events.json","paper":"https://pith.science/paper/VLRBMPGZ"},"agent_actions":{"view_html":"https://pith.science/pith/VLRBMPGZVLEV3DAYDX2PZDSYQA","download_json":"https://pith.science/pith/VLRBMPGZVLEV3DAYDX2PZDSYQA.json","view_paper":"https://pith.science/paper/VLRBMPGZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.07990&json=true","fetch_graph":"https://pith.science/api/pith-number/VLRBMPGZVLEV3DAYDX2PZDSYQA/graph.json","fetch_events":"https://pith.science/api/pith-number/VLRBMPGZVLEV3DAYDX2PZDSYQA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VLRBMPGZVLEV3DAYDX2PZDSYQA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VLRBMPGZVLEV3DAYDX2PZDSYQA/action/storage_attestation","attest_author":"https://pith.science/pith/VLRBMPGZVLEV3DAYDX2PZDSYQA/action/author_attestation","sign_citation":"https://pith.science/pith/VLRBMPGZVLEV3DAYDX2PZDSYQA/action/citation_signature","submit_replication":"https://pith.science/pith/VLRBMPGZVLEV3DAYDX2PZDSYQA/action/replication_record"}},"created_at":"2026-05-18T01:10:22.781075+00:00","updated_at":"2026-05-18T01:10:22.781075+00:00"}