{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:PBRFESDUNPMP3KOXX2WOHP7BPI","short_pith_number":"pith:PBRFESDU","schema_version":"1.0","canonical_sha256":"78625248746bd8fda9d7beace3bfe17a043ba955f4990aec4376608baa852236","source":{"kind":"arxiv","id":"1110.5929","version":2},"attestation_state":"computed","paper":{"title":"Modeling Collisional Cascades In Debris Disks: The Numerical Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"Alan Cooney, Andras Gaspar, Dimitrios Psaltis, Feryal Ozel, George H. Rieke","submitted_at":"2011-10-26T20:51:36Z","abstract_excerpt":"We develop a new numerical algorithm to model collisional cascades in debris disks. Because of the large dynamical range in particle masses, we solve the integro-differential equations describing erosive and catastrophic collisions in a particle-in-a-box approach, while treating the orbital dynamics of the particles in an approximate fashion. We employ a new scheme for describing erosive (cratering) collisions that yields a continuous set of outcomes as a function of colliding masses. We demonstrate the stability and convergence characteristics of our algorithm and compare it with other treatm"},"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":"1110.5929","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-10-26T20:51:36Z","cross_cats_sorted":[],"title_canon_sha256":"aab75593cf23d0b4c3335568692c549f64d5502cd7768d8f9b6141960e513cbb","abstract_canon_sha256":"c5120d04af8a8e1f84cbfffbdc34053efbc277d9b5ea1c48a3a8647d554dff0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:03.350810Z","signature_b64":"wYYdwo/sY9WruGdQOH/NiOR1a9NZMMy1dOq/NUfm0QfApV65urbpxJgJe0HhksfOzHA5HQnzciXv1Zq7tvo1CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78625248746bd8fda9d7beace3bfe17a043ba955f4990aec4376608baa852236","last_reissued_at":"2026-05-18T02:00:03.350276Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:03.350276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modeling Collisional Cascades In Debris Disks: The Numerical Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"Alan Cooney, Andras Gaspar, Dimitrios Psaltis, Feryal Ozel, George H. Rieke","submitted_at":"2011-10-26T20:51:36Z","abstract_excerpt":"We develop a new numerical algorithm to model collisional cascades in debris disks. Because of the large dynamical range in particle masses, we solve the integro-differential equations describing erosive and catastrophic collisions in a particle-in-a-box approach, while treating the orbital dynamics of the particles in an approximate fashion. We employ a new scheme for describing erosive (cratering) collisions that yields a continuous set of outcomes as a function of colliding masses. We demonstrate the stability and convergence characteristics of our algorithm and compare it with other treatm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5929","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1110.5929","created_at":"2026-05-18T02:00:03.350381+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.5929v2","created_at":"2026-05-18T02:00:03.350381+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5929","created_at":"2026-05-18T02:00:03.350381+00:00"},{"alias_kind":"pith_short_12","alias_value":"PBRFESDUNPMP","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"PBRFESDUNPMP3KOX","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"PBRFESDU","created_at":"2026-05-18T12:26:39.201973+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/PBRFESDUNPMP3KOXX2WOHP7BPI","json":"https://pith.science/pith/PBRFESDUNPMP3KOXX2WOHP7BPI.json","graph_json":"https://pith.science/api/pith-number/PBRFESDUNPMP3KOXX2WOHP7BPI/graph.json","events_json":"https://pith.science/api/pith-number/PBRFESDUNPMP3KOXX2WOHP7BPI/events.json","paper":"https://pith.science/paper/PBRFESDU"},"agent_actions":{"view_html":"https://pith.science/pith/PBRFESDUNPMP3KOXX2WOHP7BPI","download_json":"https://pith.science/pith/PBRFESDUNPMP3KOXX2WOHP7BPI.json","view_paper":"https://pith.science/paper/PBRFESDU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.5929&json=true","fetch_graph":"https://pith.science/api/pith-number/PBRFESDUNPMP3KOXX2WOHP7BPI/graph.json","fetch_events":"https://pith.science/api/pith-number/PBRFESDUNPMP3KOXX2WOHP7BPI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PBRFESDUNPMP3KOXX2WOHP7BPI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PBRFESDUNPMP3KOXX2WOHP7BPI/action/storage_attestation","attest_author":"https://pith.science/pith/PBRFESDUNPMP3KOXX2WOHP7BPI/action/author_attestation","sign_citation":"https://pith.science/pith/PBRFESDUNPMP3KOXX2WOHP7BPI/action/citation_signature","submit_replication":"https://pith.science/pith/PBRFESDUNPMP3KOXX2WOHP7BPI/action/replication_record"}},"created_at":"2026-05-18T02:00:03.350381+00:00","updated_at":"2026-05-18T02:00:03.350381+00:00"}