{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WTUDEYEKMF3YRXEZOLYB4HB3XA","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":"3e98f554d56ad05b5d8cdd2bbbf1b09dfc43f06ef4c09f5c931c8b2938088f04","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-06-30T21:48:39Z","title_canon_sha256":"ed991ecf974e716c2658b051d3db012569b15778f9d2c9c6e10aa49ed9cbd738"},"schema_version":"1.0","source":{"id":"1207.0155","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0155","created_at":"2026-05-18T03:52:00Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0155v1","created_at":"2026-05-18T03:52:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0155","created_at":"2026-05-18T03:52:00Z"},{"alias_kind":"pith_short_12","alias_value":"WTUDEYEKMF3Y","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WTUDEYEKMF3YRXEZ","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WTUDEYEK","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:7c8e8d6119220c27a8e651019a36319bdac5fc686953bf44a03fb33124c26539","target":"graph","created_at":"2026-05-18T03:52:00Z","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":"Over the past few decades, various conjectures were advanced that Saturn's rings are Cantor-like sets, although no convincing fractal analysis of actual images has ever appeared. We focus on the images sent by the Cassini spacecraft mission: slide #42 \"Mapping Clumps in Saturn's Rings\" and slide #54 \"Scattered Sunshine\". Using the box-counting method, we determine the fractal dimension of rings seen here (and in several other images from the same source) to be consistently about 1.6~1.7. This supports many conjectures put forth over several decades that Saturn's rings are indeed fractal.","authors_text":"Jun Li, Martin Ostoja-Starzewski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-06-30T21:48:39Z","title":"Saturn's Rings are Fractal"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0155","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":"sha256:1a08f423469a29e396650b7729a18e1b19e39b97d09d8747c9b2f8f7f9c8414c","target":"record","created_at":"2026-05-18T03:52:00Z","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":"3e98f554d56ad05b5d8cdd2bbbf1b09dfc43f06ef4c09f5c931c8b2938088f04","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-06-30T21:48:39Z","title_canon_sha256":"ed991ecf974e716c2658b051d3db012569b15778f9d2c9c6e10aa49ed9cbd738"},"schema_version":"1.0","source":{"id":"1207.0155","kind":"arxiv","version":1}},"canonical_sha256":"b4e832608a617788dc9972f01e1c3bb83d1d63e90eb22bf4b53c39c5de57f128","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4e832608a617788dc9972f01e1c3bb83d1d63e90eb22bf4b53c39c5de57f128","first_computed_at":"2026-05-18T03:52:00.092271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:00.092271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8qOqMHRZgnfxnPi9AFMfqWi3dCtfuezcmgi95uKPkSJkVGhuPU6+jRwHG6bQ3oFy08hr5L6WkHBFavlo1pgQAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:00.092901Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.0155","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a08f423469a29e396650b7729a18e1b19e39b97d09d8747c9b2f8f7f9c8414c","sha256:7c8e8d6119220c27a8e651019a36319bdac5fc686953bf44a03fb33124c26539"],"state_sha256":"ee1309c94b71024a7f34d9965e68c4d8b43a9f39029b2dad27f74f8d7b90c85e"}