{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:E5IM3PVLPHH7KR57EWXFOAZXGJ","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":"546f76ee0e9ca43aa4022f9d7e010b02fc2c9b35eeba83b081744628b7577941","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2023-09-30T10:04:57Z","title_canon_sha256":"a91202fe57cdc42ecbba92ce6f34dcd3befa25e9807b414e8c420c606a2a26c0"},"schema_version":"1.0","source":{"id":"2310.00326","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.00326","created_at":"2026-07-05T11:44:38Z"},{"alias_kind":"arxiv_version","alias_value":"2310.00326v1","created_at":"2026-07-05T11:44:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.00326","created_at":"2026-07-05T11:44:38Z"},{"alias_kind":"pith_short_12","alias_value":"E5IM3PVLPHH7","created_at":"2026-07-05T11:44:38Z"},{"alias_kind":"pith_short_16","alias_value":"E5IM3PVLPHH7KR57","created_at":"2026-07-05T11:44:38Z"},{"alias_kind":"pith_short_8","alias_value":"E5IM3PVL","created_at":"2026-07-05T11:44:38Z"}],"graph_snapshots":[{"event_id":"sha256:c72603a14e75ecbb57cd2bb47d085084a3a8b99a81e74d796605baf4cc8dedcc","target":"graph","created_at":"2026-07-05T11:44:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2310.00326/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A \"Littlewood polynomial\" is a polynomial whose coefficients are all 1 or -1. The set of all complex roots of all Littlewood polynomials exhibits many complicated, beautiful and fascinating patterns. Some fractal regions of this set closely resemble \"dragon sets\" formed by iterated function systems. A heuristic argument for this is known, but no precise theorem along these lines has been proved. We invite the reader to try.","authors_text":"John C. Baez","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2023-09-30T10:04:57Z","title":"The Beauty of Roots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.00326","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":"sha256:46afc49c373ce4342e90be6d4fdaa1ceb31995ef49533f6e345ebb6ccb6b30f8","target":"record","created_at":"2026-07-05T11:44:38Z","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":"546f76ee0e9ca43aa4022f9d7e010b02fc2c9b35eeba83b081744628b7577941","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2023-09-30T10:04:57Z","title_canon_sha256":"a91202fe57cdc42ecbba92ce6f34dcd3befa25e9807b414e8c420c606a2a26c0"},"schema_version":"1.0","source":{"id":"2310.00326","kind":"arxiv","version":1}},"canonical_sha256":"2750cdbeab79cff547bf25ae57033732587a858f13af53cd7713a70a8c43028b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2750cdbeab79cff547bf25ae57033732587a858f13af53cd7713a70a8c43028b","first_computed_at":"2026-07-05T11:44:38.519917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:44:38.519917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YQaPuPWBaKwNrnR1/cjWL8hgfJ0xLW7XZoZvkY8U0ary2EnRx6SiwGzmhEm55/rSU3XGxyS+VsTHxneKRjniBw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:44:38.520415Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.00326","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46afc49c373ce4342e90be6d4fdaa1ceb31995ef49533f6e345ebb6ccb6b30f8","sha256:c72603a14e75ecbb57cd2bb47d085084a3a8b99a81e74d796605baf4cc8dedcc"],"state_sha256":"44a8b78fcbf62fa65c1d43590e86cffa55f7fedd5374efdd150f65906da742c9"}