{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:F6OK7UX3QX3EAZJYNZZ6UNG33D","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f144317f7ae67bd0cfb24a3566085e4a88e1039571442cafef2e820e26219825","cross_cats_sorted":["cs.NA","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-08-04T15:02:25Z","title_canon_sha256":"0938e9f1e9e57cc8719831bc53d1d3593241e419fceb10f761f8c428a0b75c97"},"schema_version":"1.0","source":{"id":"2608.03781","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.03781","created_at":"2026-08-05T01:37:05Z"},{"alias_kind":"arxiv_version","alias_value":"2608.03781v1","created_at":"2026-08-05T01:37:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.03781","created_at":"2026-08-05T01:37:05Z"},{"alias_kind":"pith_short_12","alias_value":"F6OK7UX3QX3E","created_at":"2026-08-05T01:37:05Z"},{"alias_kind":"pith_short_16","alias_value":"F6OK7UX3QX3EAZJY","created_at":"2026-08-05T01:37:05Z"},{"alias_kind":"pith_short_8","alias_value":"F6OK7UX3","created_at":"2026-08-05T01:37:05Z"}],"graph_snapshots":[{"event_id":"sha256:dca51c92791dbba3f5cabb40a4f838a4896ae25fa27691c755fc1e95bea8fa0e","target":"graph","created_at":"2026-08-05T01:37:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.03781/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Atmospheric temperature on Earth results from complex phenomena that climate models must account for. One important module is radiation, which has three sources: infrared radiation emitted by the Earth and the air, and visible light from the Sun. The latter arrives from an almost point-like source in the sky, producing a Dirac singularity in the boundary conditions known as collimated light. Following Siewert and Maiorino (1980), we propose a very fast numerical implementation to handle the singularity.","authors_text":"Olivier Pironneau","cross_cats":["cs.NA","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-08-04T15:02:25Z","title":"Collimated Sunlight and Air Temperature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.03781","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:967313e54ac5579738b41c57e0c87e20587d151fd7a445d591b5dff58c772e2b","target":"record","created_at":"2026-08-05T01:37:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f144317f7ae67bd0cfb24a3566085e4a88e1039571442cafef2e820e26219825","cross_cats_sorted":["cs.NA","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-08-04T15:02:25Z","title_canon_sha256":"0938e9f1e9e57cc8719831bc53d1d3593241e419fceb10f761f8c428a0b75c97"},"schema_version":"1.0","source":{"id":"2608.03781","kind":"arxiv","version":1}},"canonical_sha256":"2f9cafd2fb85f64065386e73ea34dbd8f081735f4f0aa31972310a8af71e08d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f9cafd2fb85f64065386e73ea34dbd8f081735f4f0aa31972310a8af71e08d1","first_computed_at":"2026-08-05T01:37:05.633926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-05T01:37:05.633926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rbvUhakzwWRq8lYm4OpMTxYC5mLVTJOYqx3Vn5mAAilr8b19udtCr66QSrLnWS8dy7X1ARBjWycWyFCfZIOlDA==","signature_status":"signed_v1","signed_at":"2026-08-05T01:37:05.635530Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.03781","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:967313e54ac5579738b41c57e0c87e20587d151fd7a445d591b5dff58c772e2b","sha256:dca51c92791dbba3f5cabb40a4f838a4896ae25fa27691c755fc1e95bea8fa0e"],"state_sha256":"7a7b47d36b0023d2129c6772ded973bb7a9335552190ad79667d510df16ef3b0"}