{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:DYY32L73AKXJY4HHVM6KLPWIQI","short_pith_number":"pith:DYY32L73","schema_version":"1.0","canonical_sha256":"1e31bd2ffb02ae9c70e7ab3ca5bec8823c30497956544b732590dafcde5919cf","source":{"kind":"arxiv","id":"1308.3483","version":1},"attestation_state":"computed","paper":{"title":"Theory of temperature dependent phonon-renormalized properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Bartomeu Monserrat, G. J. Conduit, R. J. Needs","submitted_at":"2013-08-15T19:49:47Z","abstract_excerpt":"We present a general harmonic theory for the temperature dependence of phonon-renormalized properties of solids. Firstly, we formulate a perturbation theory in phonon-phonon interactions to calculate the phonon renormalization of physical quantities. Secondly, we propose two new schemes for extrapolating phonon zero-point corrections from temperature dependent data that improve the accuracy by an order of magnitude compared to previous approaches. Finally, we consider the low-temperature limit of the class of observables that includes the electronic band gap, obtaining a $T^4$ dependence in th"},"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":"1308.3483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-08-15T19:49:47Z","cross_cats_sorted":[],"title_canon_sha256":"bff46476408e8e02077030e04ad0c45cf0284e878eedf0b76318cda881d24bd9","abstract_canon_sha256":"8c43f4f567aa9757b45f60430beb9fe1939a7bc2a8ec050a8500a820dae1bd43"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:11.789058Z","signature_b64":"YBAvy4NYKJkfSZIYEztIc19wO3jBvAFe/DL+J8QipMKS/zDk0i7S5rBH24kQE1UMzbF8KD4t0YA0UP8yeTh0DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e31bd2ffb02ae9c70e7ab3ca5bec8823c30497956544b732590dafcde5919cf","last_reissued_at":"2026-05-18T01:29:11.788383Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:11.788383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theory of temperature dependent phonon-renormalized properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Bartomeu Monserrat, G. J. Conduit, R. J. Needs","submitted_at":"2013-08-15T19:49:47Z","abstract_excerpt":"We present a general harmonic theory for the temperature dependence of phonon-renormalized properties of solids. Firstly, we formulate a perturbation theory in phonon-phonon interactions to calculate the phonon renormalization of physical quantities. Secondly, we propose two new schemes for extrapolating phonon zero-point corrections from temperature dependent data that improve the accuracy by an order of magnitude compared to previous approaches. Finally, we consider the low-temperature limit of the class of observables that includes the electronic band gap, obtaining a $T^4$ dependence in th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3483","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":"1308.3483","created_at":"2026-05-18T01:29:11.788484+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.3483v1","created_at":"2026-05-18T01:29:11.788484+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3483","created_at":"2026-05-18T01:29:11.788484+00:00"},{"alias_kind":"pith_short_12","alias_value":"DYY32L73AKXJ","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"DYY32L73AKXJY4HH","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"DYY32L73","created_at":"2026-05-18T12:27:43.054852+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/DYY32L73AKXJY4HHVM6KLPWIQI","json":"https://pith.science/pith/DYY32L73AKXJY4HHVM6KLPWIQI.json","graph_json":"https://pith.science/api/pith-number/DYY32L73AKXJY4HHVM6KLPWIQI/graph.json","events_json":"https://pith.science/api/pith-number/DYY32L73AKXJY4HHVM6KLPWIQI/events.json","paper":"https://pith.science/paper/DYY32L73"},"agent_actions":{"view_html":"https://pith.science/pith/DYY32L73AKXJY4HHVM6KLPWIQI","download_json":"https://pith.science/pith/DYY32L73AKXJY4HHVM6KLPWIQI.json","view_paper":"https://pith.science/paper/DYY32L73","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.3483&json=true","fetch_graph":"https://pith.science/api/pith-number/DYY32L73AKXJY4HHVM6KLPWIQI/graph.json","fetch_events":"https://pith.science/api/pith-number/DYY32L73AKXJY4HHVM6KLPWIQI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DYY32L73AKXJY4HHVM6KLPWIQI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DYY32L73AKXJY4HHVM6KLPWIQI/action/storage_attestation","attest_author":"https://pith.science/pith/DYY32L73AKXJY4HHVM6KLPWIQI/action/author_attestation","sign_citation":"https://pith.science/pith/DYY32L73AKXJY4HHVM6KLPWIQI/action/citation_signature","submit_replication":"https://pith.science/pith/DYY32L73AKXJY4HHVM6KLPWIQI/action/replication_record"}},"created_at":"2026-05-18T01:29:11.788484+00:00","updated_at":"2026-05-18T01:29:11.788484+00:00"}