{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BQAJKIRZU3HSBLOZX4KKUEAMX6","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":"2dabaff8b5f9c751bf13361d42f2e9f14571538cca8d0dbf70bfe364ed75df68","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-02-17T18:11:54Z","title_canon_sha256":"b817cbae67290d79fa56603eac1c9d7f7b95a1667f1329baf6e891377fd516cb"},"schema_version":"1.0","source":{"id":"1302.4097","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4097","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4097v5","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4097","created_at":"2026-05-18T01:35:52Z"},{"alias_kind":"pith_short_12","alias_value":"BQAJKIRZU3HS","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BQAJKIRZU3HSBLOZ","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BQAJKIRZ","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:422971130b5a01ba73fa60dff70efa2ebeb86fa1abe190d80fbdac2f5f9d23cc","target":"graph","created_at":"2026-05-18T01:35:52Z","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":"Saturn's rings consist of a huge number of water ice particles, with a tiny addition of rocky material. They form a flat disk, as the result of an interplay of angular momentum conservation and the steady loss of energy in dissipative inter-particle collisions. For particles in the size range from a few centimeters to a few meters, a power-law distribution of radii, $\\sim r^{-q}$ with $q \\approx 3$, has been inferred; for larger sizes, the distribution has a steep cutoff. It has been suggested that this size distribution may arise from a balance between aggregation and fragmentation of ring pa","authors_text":"Anna Bodrova, Frank Spahn, Hisao Hayakawa, Juergen Schmidt, Nikolai Brilliantov, Pavel Krapivsky, Vladimir Stadnichuk","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-02-17T18:11:54Z","title":"Size distribution of particles in Saturn's rings from aggregation and fragmentation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4097","kind":"arxiv","version":5},"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":"sha256:7342b272ab09404bc2d60bc4e78688e4f3e10cd596c7f3a034b98bde7ceffcf9","target":"record","created_at":"2026-05-18T01:35:52Z","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":"2dabaff8b5f9c751bf13361d42f2e9f14571538cca8d0dbf70bfe364ed75df68","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-02-17T18:11:54Z","title_canon_sha256":"b817cbae67290d79fa56603eac1c9d7f7b95a1667f1329baf6e891377fd516cb"},"schema_version":"1.0","source":{"id":"1302.4097","kind":"arxiv","version":5}},"canonical_sha256":"0c00952239a6cf20add9bf14aa100cbfb98893ee4b2c4fbc64461be3472d98de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c00952239a6cf20add9bf14aa100cbfb98893ee4b2c4fbc64461be3472d98de","first_computed_at":"2026-05-18T01:35:52.461865Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:52.461865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fxDYb+o1R51khmXorbvwQCuiFWZUz1i7XIclA7ANUMPMOPKryiL5B3OQPQ1ViwtDICkXtYlRwwWwnwhkMPkBCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:52.462471Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.4097","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7342b272ab09404bc2d60bc4e78688e4f3e10cd596c7f3a034b98bde7ceffcf9","sha256:422971130b5a01ba73fa60dff70efa2ebeb86fa1abe190d80fbdac2f5f9d23cc"],"state_sha256":"2d62934dd953b1fa58bde9e43fdb23895a5e58d2dfd24985e9df602370b9c9d7"}