{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:U4CUNY4BEEPYGQNQWVALOTKL47","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":"66af5e616a52d82b9d67cc58e936b1396c0e495529ca48307301d571033c4a97","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2017-02-05T12:37:36Z","title_canon_sha256":"c1c3e0a089bd6dd8829dd2e8bbdf24ce71d52308ad4bdc20ecf33288c2909139"},"schema_version":"1.0","source":{"id":"1702.01394","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.01394","created_at":"2026-05-18T00:49:50Z"},{"alias_kind":"arxiv_version","alias_value":"1702.01394v2","created_at":"2026-05-18T00:49:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.01394","created_at":"2026-05-18T00:49:50Z"},{"alias_kind":"pith_short_12","alias_value":"U4CUNY4BEEPY","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"U4CUNY4BEEPYGQNQ","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"U4CUNY4B","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:72cbde554a8bd4f943b208a162054feb0638c3e2da6a1a387d14e5293e2e31a4","target":"graph","created_at":"2026-05-18T00:49:50Z","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":"Using a novel rewriting problem, we show that several natural decision problems about finite automata are undecidable (i.e., recursively unsolvable). In contrast, we also prove three related problems are decidable. We apply one result to prove the undecidability of a related problem about k-automatic sets of rational numbers.","authors_text":"Jeffrey Shallit, J\\\"org Endrullis, Tim Smith","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2017-02-05T12:37:36Z","title":"Undecidability and Finite Automata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.01394","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":"sha256:49d441bc0f6f010fbc7515a7c6651f663bac410bb1ec9cb9c324586143a939c5","target":"record","created_at":"2026-05-18T00:49:50Z","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":"66af5e616a52d82b9d67cc58e936b1396c0e495529ca48307301d571033c4a97","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2017-02-05T12:37:36Z","title_canon_sha256":"c1c3e0a089bd6dd8829dd2e8bbdf24ce71d52308ad4bdc20ecf33288c2909139"},"schema_version":"1.0","source":{"id":"1702.01394","kind":"arxiv","version":2}},"canonical_sha256":"a70546e381211f8341b0b540b74d4be7fba69331fea1a9adf37498a5a1cda132","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a70546e381211f8341b0b540b74d4be7fba69331fea1a9adf37498a5a1cda132","first_computed_at":"2026-05-18T00:49:50.670057Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:50.670057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NWWAYjMoY8ab2C+5B1aRSjuWINW0dFO5jqkvOlyN/9DC8tCl3P+mDKVXbiU+hvq+1AR3ODMqieJpno7rZSQoCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:50.670474Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.01394","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49d441bc0f6f010fbc7515a7c6651f663bac410bb1ec9cb9c324586143a939c5","sha256:72cbde554a8bd4f943b208a162054feb0638c3e2da6a1a387d14e5293e2e31a4"],"state_sha256":"4a9be09423d1d60f1363509d4fa9982ccf6cba301a5d60bac918cd5652aa340f"}