{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:3DJTCYLFN7AAYC3VPTE4JJMG3R","short_pith_number":"pith:3DJTCYLF","schema_version":"1.0","canonical_sha256":"d8d33161656fc00c0b757cc9c4a586dc7f02d74bf86c4655e40f306be1b3eea9","source":{"kind":"arxiv","id":"1703.02881","version":3},"attestation_state":"computed","paper":{"title":"Uniform convergence to equilibrium for a family of drift-diffusion models with trap-assisted recombination and the limiting Shockley--Read--Hall model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Klemens Fellner, Michael Kniely","submitted_at":"2017-03-08T15:44:47Z","abstract_excerpt":"We consider a family of drift-diffusion-recombination systems, where the recombination of electrons and holes is facilitated by an intermediate energy-level for electrons in so-called trapped states. In particular, it has been proven in [GMS07] that the associated quasi-stationary state limit of an instantaneously fast trapped dynamics yields the famous Shockley--Read-Hall model for electron and hole recombination in semiconductor devices.\n  The main result of this paper proves exponential convergence to equilibrium uniformly in the fast reaction limit for the drift-diffusion-recombination sys"},"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":"1703.02881","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-08T15:44:47Z","cross_cats_sorted":[],"title_canon_sha256":"53b186d8063ae930de2f01e8fbbd8e7c7e99bcacb07be6ea5c3bd6a0fd7a8cf8","abstract_canon_sha256":"8d2ae00df4b07dd0b06fada3cbc3cc9cb79f2b510bdd1ffe7caec491bc84d563"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:42.232232Z","signature_b64":"hxLS7ot/fAHRux++myOJFmQe7N/lIxVYlh+1a3JWqY7illF/he6AxMMLvLmz2N3yxjm2WrztLa357dySa4RgCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8d33161656fc00c0b757cc9c4a586dc7f02d74bf86c4655e40f306be1b3eea9","last_reissued_at":"2026-05-18T00:25:42.231494Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:42.231494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Uniform convergence to equilibrium for a family of drift-diffusion models with trap-assisted recombination and the limiting Shockley--Read--Hall model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Klemens Fellner, Michael Kniely","submitted_at":"2017-03-08T15:44:47Z","abstract_excerpt":"We consider a family of drift-diffusion-recombination systems, where the recombination of electrons and holes is facilitated by an intermediate energy-level for electrons in so-called trapped states. In particular, it has been proven in [GMS07] that the associated quasi-stationary state limit of an instantaneously fast trapped dynamics yields the famous Shockley--Read-Hall model for electron and hole recombination in semiconductor devices.\n  The main result of this paper proves exponential convergence to equilibrium uniformly in the fast reaction limit for the drift-diffusion-recombination sys"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.02881","kind":"arxiv","version":3},"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":"1703.02881","created_at":"2026-05-18T00:25:42.231588+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.02881v3","created_at":"2026-05-18T00:25:42.231588+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.02881","created_at":"2026-05-18T00:25:42.231588+00:00"},{"alias_kind":"pith_short_12","alias_value":"3DJTCYLFN7AA","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"3DJTCYLFN7AAYC3V","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"3DJTCYLF","created_at":"2026-05-18T12:30:58.224056+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/3DJTCYLFN7AAYC3VPTE4JJMG3R","json":"https://pith.science/pith/3DJTCYLFN7AAYC3VPTE4JJMG3R.json","graph_json":"https://pith.science/api/pith-number/3DJTCYLFN7AAYC3VPTE4JJMG3R/graph.json","events_json":"https://pith.science/api/pith-number/3DJTCYLFN7AAYC3VPTE4JJMG3R/events.json","paper":"https://pith.science/paper/3DJTCYLF"},"agent_actions":{"view_html":"https://pith.science/pith/3DJTCYLFN7AAYC3VPTE4JJMG3R","download_json":"https://pith.science/pith/3DJTCYLFN7AAYC3VPTE4JJMG3R.json","view_paper":"https://pith.science/paper/3DJTCYLF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.02881&json=true","fetch_graph":"https://pith.science/api/pith-number/3DJTCYLFN7AAYC3VPTE4JJMG3R/graph.json","fetch_events":"https://pith.science/api/pith-number/3DJTCYLFN7AAYC3VPTE4JJMG3R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3DJTCYLFN7AAYC3VPTE4JJMG3R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3DJTCYLFN7AAYC3VPTE4JJMG3R/action/storage_attestation","attest_author":"https://pith.science/pith/3DJTCYLFN7AAYC3VPTE4JJMG3R/action/author_attestation","sign_citation":"https://pith.science/pith/3DJTCYLFN7AAYC3VPTE4JJMG3R/action/citation_signature","submit_replication":"https://pith.science/pith/3DJTCYLFN7AAYC3VPTE4JJMG3R/action/replication_record"}},"created_at":"2026-05-18T00:25:42.231588+00:00","updated_at":"2026-05-18T00:25:42.231588+00:00"}