{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:4WOLQTLMYFBYR4B3APNNNW2G54","short_pith_number":"pith:4WOLQTLM","schema_version":"1.0","canonical_sha256":"e59cb84d6cc14388f03b03dad6db46ef250750869d6383af3225392093112817","source":{"kind":"arxiv","id":"1804.04961","version":2},"attestation_state":"computed","paper":{"title":"Analytical Models of Exoplanetary Atmospheres. VI. Full Solutions for Improved Two-stream Radiative Transfer Including Direct Stellar Beam","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.ao-ph"],"primary_cat":"astro-ph.EP","authors_text":"Daniel Kitzmann, Kevin Heng, Matej Malik","submitted_at":"2018-04-13T14:25:12Z","abstract_excerpt":"Two-stream radiative transfer is a workhorse in the Earth, planetary and exoplanetary sciences due to its simplicity and ease of implementation. However, a longstanding limitation of the two-stream approximation is its inaccuracy in the presence of medium-sized or large aerosols. This limitation was lifted by the discovery of the improved two-stream technique, where the accuracy of the scattering greenhouse effect is matched to that of multi-stream calculations by construction. In the present study, we derive the full solutions for improved two-stream radiative transfer, following its introduc"},"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":"1804.04961","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2018-04-13T14:25:12Z","cross_cats_sorted":["physics.ao-ph"],"title_canon_sha256":"62fa66c6d829f71eaedba4643e3d5c14412142f1b8b8d2696bca943ec80a5ca2","abstract_canon_sha256":"97c3c43085a40d396df094425a584b7f9709a04e784e0b81efe6b23653069f78"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:42.471582Z","signature_b64":"mF6KbFvLO93PNAPGVx7I921ELlUMVcDuyZs4n0mupBycJf8X3zzYO7BW2804Q5KQoSQpmpkaJ4C98tovO8hmCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e59cb84d6cc14388f03b03dad6db46ef250750869d6383af3225392093112817","last_reissued_at":"2026-05-18T00:08:42.470894Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:42.470894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytical Models of Exoplanetary Atmospheres. VI. Full Solutions for Improved Two-stream Radiative Transfer Including Direct Stellar Beam","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.ao-ph"],"primary_cat":"astro-ph.EP","authors_text":"Daniel Kitzmann, Kevin Heng, Matej Malik","submitted_at":"2018-04-13T14:25:12Z","abstract_excerpt":"Two-stream radiative transfer is a workhorse in the Earth, planetary and exoplanetary sciences due to its simplicity and ease of implementation. However, a longstanding limitation of the two-stream approximation is its inaccuracy in the presence of medium-sized or large aerosols. This limitation was lifted by the discovery of the improved two-stream technique, where the accuracy of the scattering greenhouse effect is matched to that of multi-stream calculations by construction. In the present study, we derive the full solutions for improved two-stream radiative transfer, following its introduc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.04961","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":""},"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":"1804.04961","created_at":"2026-05-18T00:08:42.470987+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.04961v2","created_at":"2026-05-18T00:08:42.470987+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.04961","created_at":"2026-05-18T00:08:42.470987+00:00"},{"alias_kind":"pith_short_12","alias_value":"4WOLQTLMYFBY","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"4WOLQTLMYFBYR4B3","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"4WOLQTLM","created_at":"2026-05-18T12:32:05.422762+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/4WOLQTLMYFBYR4B3APNNNW2G54","json":"https://pith.science/pith/4WOLQTLMYFBYR4B3APNNNW2G54.json","graph_json":"https://pith.science/api/pith-number/4WOLQTLMYFBYR4B3APNNNW2G54/graph.json","events_json":"https://pith.science/api/pith-number/4WOLQTLMYFBYR4B3APNNNW2G54/events.json","paper":"https://pith.science/paper/4WOLQTLM"},"agent_actions":{"view_html":"https://pith.science/pith/4WOLQTLMYFBYR4B3APNNNW2G54","download_json":"https://pith.science/pith/4WOLQTLMYFBYR4B3APNNNW2G54.json","view_paper":"https://pith.science/paper/4WOLQTLM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.04961&json=true","fetch_graph":"https://pith.science/api/pith-number/4WOLQTLMYFBYR4B3APNNNW2G54/graph.json","fetch_events":"https://pith.science/api/pith-number/4WOLQTLMYFBYR4B3APNNNW2G54/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4WOLQTLMYFBYR4B3APNNNW2G54/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4WOLQTLMYFBYR4B3APNNNW2G54/action/storage_attestation","attest_author":"https://pith.science/pith/4WOLQTLMYFBYR4B3APNNNW2G54/action/author_attestation","sign_citation":"https://pith.science/pith/4WOLQTLMYFBYR4B3APNNNW2G54/action/citation_signature","submit_replication":"https://pith.science/pith/4WOLQTLMYFBYR4B3APNNNW2G54/action/replication_record"}},"created_at":"2026-05-18T00:08:42.470987+00:00","updated_at":"2026-05-18T00:08:42.470987+00:00"}