{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DHFRBU2EZJZVFYS2COEGLBETRC","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":"d88e334c8cc7b70ab8328a36ebaf3d6717012732a8af696e326e63dc5d390d5e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-03-08T14:55:56Z","title_canon_sha256":"5b899f3159645c39ba50ff06a1eb6182d6a26d05ad82decb7667f643c66ce7a5"},"schema_version":"1.0","source":{"id":"1203.1817","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1817","created_at":"2026-05-18T01:58:12Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1817v1","created_at":"2026-05-18T01:58:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1817","created_at":"2026-05-18T01:58:12Z"},{"alias_kind":"pith_short_12","alias_value":"DHFRBU2EZJZV","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DHFRBU2EZJZVFYS2","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DHFRBU2E","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:4a96dc9cea3ff616a152adde82a2ded495ad2b84571aed9f2199f8e77c177bc9","target":"graph","created_at":"2026-05-18T01:58:12Z","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":"The interaction between settling of dust grains and magnetorotational instability (MRI) turbulence in protoplanetary disks is analyzed. We use a reduced system of coupled ordinary differential equations to represent the interaction between the diffusion of grains and the inhibition of the MRI. The coupled equations are styled on a Landau equation for the turbulence and a Fokker-Planck equation for the diffusion. The turbulence-grain interaction is probably most relevant near the outer edge of the disk's quiescent, or \"dead\" zone. Settling is most pronounced near the midplane, where a high dust","authors_text":"Emmanuel Jacquet, Steven Balbus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-03-08T14:55:56Z","title":"A Self-Consistent Reduced Model for Dusty Magnetorotationally Unstable Discs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1817","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:cd3b714d08051dd4e01d39a3f727eb54371cdf5cd212b4396e7793f7339257a8","target":"record","created_at":"2026-05-18T01:58:12Z","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":"d88e334c8cc7b70ab8328a36ebaf3d6717012732a8af696e326e63dc5d390d5e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-03-08T14:55:56Z","title_canon_sha256":"5b899f3159645c39ba50ff06a1eb6182d6a26d05ad82decb7667f643c66ce7a5"},"schema_version":"1.0","source":{"id":"1203.1817","kind":"arxiv","version":1}},"canonical_sha256":"19cb10d344ca7352e25a138865849388a764b7667b0caf20783d33704f5d554f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19cb10d344ca7352e25a138865849388a764b7667b0caf20783d33704f5d554f","first_computed_at":"2026-05-18T01:58:12.984627Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:12.984627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yew1LhtE9V/tD44h0VSvWxI6GBE9Z39UyMa7Y8A8wPklk78w1JNuT5Xpouk8PF3H+2+9mKY63It21++CIcnTDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:12.985256Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.1817","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd3b714d08051dd4e01d39a3f727eb54371cdf5cd212b4396e7793f7339257a8","sha256:4a96dc9cea3ff616a152adde82a2ded495ad2b84571aed9f2199f8e77c177bc9"],"state_sha256":"47ab10e286b8cbfc0d95e7e9ed1b9f24eb5309a8fe0286adf809dd6ab1410d9a"}