{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FGL46JYZ3YDRBBQ2LND7NUCQ34","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":"3913a2955d39f0625e53c289e65788828c05601b3a7bcedd6663b8ad4959eec9","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-04-22T14:24:46Z","title_canon_sha256":"6e23980e71b2822ff28b316ba79c44af691a7e121ccd8bc9c5887ba2bd9dac4d"},"schema_version":"1.0","source":{"id":"1504.05821","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05821","created_at":"2026-05-18T02:18:04Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05821v1","created_at":"2026-05-18T02:18:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05821","created_at":"2026-05-18T02:18:04Z"},{"alias_kind":"pith_short_12","alias_value":"FGL46JYZ3YDR","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FGL46JYZ3YDRBBQ2","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FGL46JYZ","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:086d85a12016a0259dc7bb6c5962e3e3357139bff35d698af86dc8acfd066635","target":"graph","created_at":"2026-05-18T02:18:04Z","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":"In this short article, we study factor colorings of aperiodic linearly recurrent infinite words. We show that there always exists a coloring which does not admit a monochromatic factorization of the word into factors of increasing lengths.","authors_text":"Ilkka T\\\"orm\\\"a, Ville Salo","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-04-22T14:24:46Z","title":"Factor Colorings of Linearly Recurrent Words"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05821","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":"sha256:7c51f9488ededb936a5c08ed4d4d0f6f8d4d9e75914246ed981e7b348d170ca1","target":"record","created_at":"2026-05-18T02:18:04Z","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":"3913a2955d39f0625e53c289e65788828c05601b3a7bcedd6663b8ad4959eec9","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-04-22T14:24:46Z","title_canon_sha256":"6e23980e71b2822ff28b316ba79c44af691a7e121ccd8bc9c5887ba2bd9dac4d"},"schema_version":"1.0","source":{"id":"1504.05821","kind":"arxiv","version":1}},"canonical_sha256":"2997cf2719de0710861a5b47f6d050df1fece7275a088d07cde26199cddaea5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2997cf2719de0710861a5b47f6d050df1fece7275a088d07cde26199cddaea5b","first_computed_at":"2026-05-18T02:18:04.981263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:04.981263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6a/u8vJahmfl1nZMWPshnghzD8KjnUSVudbO22M82YDvHk/YigZnYJxtlBlxXmAhgq1sFryRy8KhMVH0gt5FAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:04.982006Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.05821","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c51f9488ededb936a5c08ed4d4d0f6f8d4d9e75914246ed981e7b348d170ca1","sha256:086d85a12016a0259dc7bb6c5962e3e3357139bff35d698af86dc8acfd066635"],"state_sha256":"672e10bce371a5213201ac56b7386e99273168f872ac8ea651fc21f5201a1ed9"}