{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SEQSIH6YY2UZWKKHW2OAV3WOHW","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":"2ebcadd6ee3ce524464715d95e1a24a111706ece697b19b572c2ef6aad55e387","cross_cats_sorted":["astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-09-26T11:43:26Z","title_canon_sha256":"6aaeb93569b618a1bf9237fd15b294902fc4b09cbd1c20972b96a6681724cd91"},"schema_version":"1.0","source":{"id":"1609.07930","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.07930","created_at":"2026-05-18T00:59:18Z"},{"alias_kind":"arxiv_version","alias_value":"1609.07930v1","created_at":"2026-05-18T00:59:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07930","created_at":"2026-05-18T00:59:18Z"},{"alias_kind":"pith_short_12","alias_value":"SEQSIH6YY2UZ","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SEQSIH6YY2UZWKKH","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SEQSIH6Y","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:c47ed3332422b6c22b638eb4c79ff9c9e552faa241cd129e447824bde73512ec","target":"graph","created_at":"2026-05-18T00:59:18Z","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":"In protoplanetary disks the aerodynamical friction between particles and gas induces a variety of instabilities that facilitate planet formation. Of these we examine the so-called `secular gravitational instability' (SGI) in the two-fluid approximation, deriving analytical expressions for its stability criteria and growth rates. Concurrently, we present a physical explanation of the instability that shows how it manifests upon an intermediate range of lengthscales exhibiting geostrophic balance in the gas component. In contrast to a single-fluid treatment, the SGI is quenched within a critical","authors_text":"Henrik Latter, Roxana Rosca","cross_cats":["astro-ph.SR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-09-26T11:43:26Z","title":"On dust-gas gravitational instabilities in protoplanetary discs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07930","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":"sha256:28abe6c36c24a9936890e9d79c0d8464ac53c6f8c5ba4e8cb2fb5bf008905a3e","target":"record","created_at":"2026-05-18T00:59:18Z","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":"2ebcadd6ee3ce524464715d95e1a24a111706ece697b19b572c2ef6aad55e387","cross_cats_sorted":["astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-09-26T11:43:26Z","title_canon_sha256":"6aaeb93569b618a1bf9237fd15b294902fc4b09cbd1c20972b96a6681724cd91"},"schema_version":"1.0","source":{"id":"1609.07930","kind":"arxiv","version":1}},"canonical_sha256":"9121241fd8c6a99b2947b69c0aeece3d924d71323a5472c3beb470289c2abd56","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9121241fd8c6a99b2947b69c0aeece3d924d71323a5472c3beb470289c2abd56","first_computed_at":"2026-05-18T00:59:18.954602Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:18.954602Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m0+AhXSbQpqa63p1noEry/Ut0YNTIE0h8NmEjs43fV/eho+9uyUzGIUQWgIAnsHLmRr5tlPOzp9X5p+wvXWkCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:18.955340Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.07930","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28abe6c36c24a9936890e9d79c0d8464ac53c6f8c5ba4e8cb2fb5bf008905a3e","sha256:c47ed3332422b6c22b638eb4c79ff9c9e552faa241cd129e447824bde73512ec"],"state_sha256":"226a58f094424fb74e461ae127f737f63c484b89e57fb55dc1ad838458c9c2d1"}