{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:VHYHAE6PZVFOYDBBUVWLFU46WE","short_pith_number":"pith:VHYHAE6P","schema_version":"1.0","canonical_sha256":"a9f07013cfcd4aec0c21a56cb2d39eb125e91a778637555d1d542a00e88a715f","source":{"kind":"arxiv","id":"astro-ph/0609164","version":1},"attestation_state":"computed","paper":{"title":"The linear stability of dilute particulate rings","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Gordon I. Ogilvie, Henrik N. Latter","submitted_at":"2006-09-06T15:36:06Z","abstract_excerpt":"Irregular structure in planetary rings is often attributed to the intrinsic instabilities of a homogeneous state undergoing Keplerian shear. Previously these have been analysed with simple hydrodynamic models. We instead employ a kinetic theory, in which we solve the linearised moment equations derived in Shu and Stewart 1985 for a dilute ring. This facilitates an examination of velocity anisotropy and non-Newtonian stress, and their effects on the viscous and viscous/gravitational instabilities thought to occur in Saturn's rings. Because we adopt a dilute gas model, the applicability of our r"},"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":"astro-ph/0609164","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2006-09-06T15:36:06Z","cross_cats_sorted":[],"title_canon_sha256":"d2d956a25e946c4962d2ea1c5e2c151d0eff36690f3388c7ef3c852e0ef2159a","abstract_canon_sha256":"f08980b764991e31898e887b4b766024d498ffbec10846231090762bdb8c629a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:59:21.766428Z","signature_b64":"Imf1hdzxrrBcZxOCVB0pPEECGDhBNQwgHJjzU7bX5HWN6vOWxMHhYXAQxddId9mY4MfwtQQFpI/3Q+ST5J62Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9f07013cfcd4aec0c21a56cb2d39eb125e91a778637555d1d542a00e88a715f","last_reissued_at":"2026-07-04T16:59:21.766036Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:59:21.766036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The linear stability of dilute particulate rings","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Gordon I. Ogilvie, Henrik N. Latter","submitted_at":"2006-09-06T15:36:06Z","abstract_excerpt":"Irregular structure in planetary rings is often attributed to the intrinsic instabilities of a homogeneous state undergoing Keplerian shear. Previously these have been analysed with simple hydrodynamic models. We instead employ a kinetic theory, in which we solve the linearised moment equations derived in Shu and Stewart 1985 for a dilute ring. This facilitates an examination of velocity anisotropy and non-Newtonian stress, and their effects on the viscous and viscous/gravitational instabilities thought to occur in Saturn's rings. Because we adopt a dilute gas model, the applicability of our r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0609164","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0609164/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"astro-ph/0609164","created_at":"2026-07-04T16:59:21.766094+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0609164v1","created_at":"2026-07-04T16:59:21.766094+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0609164","created_at":"2026-07-04T16:59:21.766094+00:00"},{"alias_kind":"pith_short_12","alias_value":"VHYHAE6PZVFO","created_at":"2026-07-04T16:59:21.766094+00:00"},{"alias_kind":"pith_short_16","alias_value":"VHYHAE6PZVFOYDBB","created_at":"2026-07-04T16:59:21.766094+00:00"},{"alias_kind":"pith_short_8","alias_value":"VHYHAE6P","created_at":"2026-07-04T16:59:21.766094+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/VHYHAE6PZVFOYDBBUVWLFU46WE","json":"https://pith.science/pith/VHYHAE6PZVFOYDBBUVWLFU46WE.json","graph_json":"https://pith.science/api/pith-number/VHYHAE6PZVFOYDBBUVWLFU46WE/graph.json","events_json":"https://pith.science/api/pith-number/VHYHAE6PZVFOYDBBUVWLFU46WE/events.json","paper":"https://pith.science/paper/VHYHAE6P"},"agent_actions":{"view_html":"https://pith.science/pith/VHYHAE6PZVFOYDBBUVWLFU46WE","download_json":"https://pith.science/pith/VHYHAE6PZVFOYDBBUVWLFU46WE.json","view_paper":"https://pith.science/paper/VHYHAE6P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0609164&json=true","fetch_graph":"https://pith.science/api/pith-number/VHYHAE6PZVFOYDBBUVWLFU46WE/graph.json","fetch_events":"https://pith.science/api/pith-number/VHYHAE6PZVFOYDBBUVWLFU46WE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VHYHAE6PZVFOYDBBUVWLFU46WE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VHYHAE6PZVFOYDBBUVWLFU46WE/action/storage_attestation","attest_author":"https://pith.science/pith/VHYHAE6PZVFOYDBBUVWLFU46WE/action/author_attestation","sign_citation":"https://pith.science/pith/VHYHAE6PZVFOYDBBUVWLFU46WE/action/citation_signature","submit_replication":"https://pith.science/pith/VHYHAE6PZVFOYDBBUVWLFU46WE/action/replication_record"}},"created_at":"2026-07-04T16:59:21.766094+00:00","updated_at":"2026-07-04T16:59:21.766094+00:00"}