{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VSM3UFE4OE2HPINLPFZIAGQBB4","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":"7cf7f79a1a8e6ab3e6c586ea0ea06486c4876c02fbce2274a2183dc29a85c5ce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ao-ph","submitted_at":"2015-12-27T05:58:51Z","title_canon_sha256":"c9ec8f0d84a5bfb061f624a2daa75a79c44f3c363c10a8a837f71b958f1dc8ca"},"schema_version":"1.0","source":{"id":"1512.08517","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.08517","created_at":"2026-05-18T01:12:49Z"},{"alias_kind":"arxiv_version","alias_value":"1512.08517v3","created_at":"2026-05-18T01:12:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08517","created_at":"2026-05-18T01:12:49Z"},{"alias_kind":"pith_short_12","alias_value":"VSM3UFE4OE2H","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VSM3UFE4OE2HPINL","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VSM3UFE4","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:823861c7fae89e53279b800e3f23cac4f00cae027b42ae7685d686275768a642","target":"graph","created_at":"2026-05-18T01:12:49Z","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"},"paper":{"abstract_excerpt":"We propose a mathematical methodology to derive a stochastic parameterization of bulk warm cloud micro-physics properties. Unlike previous bulk parameterizations, the stochastic parameterization does not assume any particular droplet size distribution, all parameters have physical meanings which are recoverable from data, and the resultant parameterization has the flexibility to utilize a variety of collision kernels. Our strategy is a new two-fold approach to modelling the kinetic collection equation. Partitioning the droplet spectrum into cloud and rain aggregates, we represent droplet densi","authors_text":"Boualem Khouider, David Collins","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ao-ph","submitted_at":"2015-12-27T05:58:51Z","title":"A Stochastic Closure for Two-Moment Bulk Microphysics of Warm Clouds: Part I, Derivations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08517","kind":"arxiv","version":3},"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:c5b5f76002ba75d27760fc2d533c78a91b3fcfe1467eac5df6910df558e4aa8b","target":"record","created_at":"2026-05-18T01:12:49Z","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":"7cf7f79a1a8e6ab3e6c586ea0ea06486c4876c02fbce2274a2183dc29a85c5ce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ao-ph","submitted_at":"2015-12-27T05:58:51Z","title_canon_sha256":"c9ec8f0d84a5bfb061f624a2daa75a79c44f3c363c10a8a837f71b958f1dc8ca"},"schema_version":"1.0","source":{"id":"1512.08517","kind":"arxiv","version":3}},"canonical_sha256":"ac99ba149c713477a1ab7972801a010f38a50a9ade08d55c465c563ac8a88008","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac99ba149c713477a1ab7972801a010f38a50a9ade08d55c465c563ac8a88008","first_computed_at":"2026-05-18T01:12:49.276043Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:49.276043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9X2BhR0uqWxLEEvTS/+ovqNXbZck2eIbwp21mgl9pzOhm6nre6/dKhRIGnNh628reKEvwyFWGulaSqNCWFCiAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:49.276386Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.08517","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5b5f76002ba75d27760fc2d533c78a91b3fcfe1467eac5df6910df558e4aa8b","sha256:823861c7fae89e53279b800e3f23cac4f00cae027b42ae7685d686275768a642"],"state_sha256":"e2b08e6c0636a19ece3280ba01c211de494578e02c8649b3cb1ac249a79c5e3f"}