{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RFKY665AOFGZGIPDOPLY3L4DFV","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":"852cac8f62996f5de0acc330b796e90e89894184f53ef8179476f403d0ee36a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2011-03-28T22:02:19Z","title_canon_sha256":"d4bb230571ad42046e381b4233ad799dbfe0a82658845065783284c7d479a5bc"},"schema_version":"1.0","source":{"id":"1103.5499","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5499","created_at":"2026-05-18T02:02:43Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5499v1","created_at":"2026-05-18T02:02:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5499","created_at":"2026-05-18T02:02:43Z"},{"alias_kind":"pith_short_12","alias_value":"RFKY665AOFGZ","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RFKY665AOFGZGIPD","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RFKY665A","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:89bc964d79544fcf617ce7081ac869c0407ed2e5b33e1ef2f5435c37bc4f4ba5","target":"graph","created_at":"2026-05-18T02:02:43Z","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 present a new scheme for determining the shape of the size distribution, and its evolution, for collisional cascades of planetesimals undergoing destructive collisions and loss processes like Poynting-Robertson drag. The scheme treats the steady state portion of the cascade by equating mass loss and gain in each size bin; the smallest particles are expected to reach steady state on their collision timescale, while larger particles retain their primordial distribution. For collision-dominated disks, steady state means that mass loss rates in logarithmic size bins are independent of size. Thi","authors_text":"Cathie J. Clarke, Mark Booth, Mark C. Wyatt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2011-03-28T22:02:19Z","title":"Debris disk size distributions: steady state collisional evolution with P-R drag and other loss processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5499","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:f4b73d48c7bb4014c078cb74cb369ba07fee144e7c5d8618471d54817e73a67f","target":"record","created_at":"2026-05-18T02:02:43Z","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":"852cac8f62996f5de0acc330b796e90e89894184f53ef8179476f403d0ee36a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2011-03-28T22:02:19Z","title_canon_sha256":"d4bb230571ad42046e381b4233ad799dbfe0a82658845065783284c7d479a5bc"},"schema_version":"1.0","source":{"id":"1103.5499","kind":"arxiv","version":1}},"canonical_sha256":"89558f7ba0714d9321e373d78daf832d6f3517c2f1da19b6ec9135a19f092974","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89558f7ba0714d9321e373d78daf832d6f3517c2f1da19b6ec9135a19f092974","first_computed_at":"2026-05-18T02:02:43.821422Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:43.821422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ob+TtX1nXF2ShVKvdlQYNcavUA21Pie8HT0OweY+pKgTJrp8Xbtpb0QyXXONlPrZlzxQFeX9+/AK7RChwF+GDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:43.822131Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5499","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4b73d48c7bb4014c078cb74cb369ba07fee144e7c5d8618471d54817e73a67f","sha256:89bc964d79544fcf617ce7081ac869c0407ed2e5b33e1ef2f5435c37bc4f4ba5"],"state_sha256":"96e2332ca50ddaf52b183eaf9fbc56d25cb4d5a9ba51a4c3e67ee1bc3c14b8aa"}