{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AR5Y5K2SICE4ATUAH45KIPW3H5","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":"e14efd6d7e4709979a408060c9e054bfde4d8257b24698cefa37d0eafd0ed4fa","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-16T12:35:49Z","title_canon_sha256":"4ac73576b905cdd17ce25160f77f15437dad6ae48ce10e74c636c699ce6e84a5"},"schema_version":"1.0","source":{"id":"1511.04932","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.04932","created_at":"2026-05-18T01:26:30Z"},{"alias_kind":"arxiv_version","alias_value":"1511.04932v2","created_at":"2026-05-18T01:26:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04932","created_at":"2026-05-18T01:26:30Z"},{"alias_kind":"pith_short_12","alias_value":"AR5Y5K2SICE4","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AR5Y5K2SICE4ATUA","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AR5Y5K2S","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:24e05b1035aa352b01bf098102fd832d3e302b836e758504609e52469410c3f2","target":"graph","created_at":"2026-05-18T01:26:30Z","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 proof of the Casas-Alvero conjecture, stating that if a complex polynomial has a root in common with each of its derivatives it must be a multiple of the power of some monomial.","authors_text":"Giulia Battiston","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-16T12:35:49Z","title":"The Casas-Alvero conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04932","kind":"arxiv","version":2},"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":"sha256:5ddd9003a84a4eaaeb0447a781930dfa5a2e46b630af98d1e119bafcfb5bd1dd","target":"record","created_at":"2026-05-18T01:26:30Z","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":"e14efd6d7e4709979a408060c9e054bfde4d8257b24698cefa37d0eafd0ed4fa","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-16T12:35:49Z","title_canon_sha256":"4ac73576b905cdd17ce25160f77f15437dad6ae48ce10e74c636c699ce6e84a5"},"schema_version":"1.0","source":{"id":"1511.04932","kind":"arxiv","version":2}},"canonical_sha256":"047b8eab524089c04e803f3aa43edb3f4aa404e18fcbcbc33884820851031263","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"047b8eab524089c04e803f3aa43edb3f4aa404e18fcbcbc33884820851031263","first_computed_at":"2026-05-18T01:26:30.979020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:30.979020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ThWKCy4sCRU8vK1CpTp4W5nzT+PfBTxgZ9++5zE9/cjcB0ehUWAaInLY9Uy3ezRainjtTDn3Fyac4q/Wja//DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:30.979464Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.04932","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ddd9003a84a4eaaeb0447a781930dfa5a2e46b630af98d1e119bafcfb5bd1dd","sha256:24e05b1035aa352b01bf098102fd832d3e302b836e758504609e52469410c3f2"],"state_sha256":"5ce70c349de0216bef16ca3dacf2bf2ec14d25edbc28ad661f04492ff4a64557"}