{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:XIA6T4DHIWYIK3QWMASGMC5EUD","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":"c61546250a5d0e595ef578b916b9898712aaf30f773d80a01c7c2ae5eaca1c50","cross_cats_sorted":["cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-05-13T10:51:28Z","title_canon_sha256":"11af31e28de9d431d6b52aeda1a055a815170d4cb905c9b13d151af2d2eb4a22"},"schema_version":"1.0","source":{"id":"2105.06184","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.06184","created_at":"2026-07-05T02:40:05Z"},{"alias_kind":"arxiv_version","alias_value":"2105.06184v1","created_at":"2026-07-05T02:40:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.06184","created_at":"2026-07-05T02:40:05Z"},{"alias_kind":"pith_short_12","alias_value":"XIA6T4DHIWYI","created_at":"2026-07-05T02:40:05Z"},{"alias_kind":"pith_short_16","alias_value":"XIA6T4DHIWYIK3QW","created_at":"2026-07-05T02:40:05Z"},{"alias_kind":"pith_short_8","alias_value":"XIA6T4DH","created_at":"2026-07-05T02:40:05Z"}],"graph_snapshots":[{"event_id":"sha256:1fe17a3ca656fbd21f45a21513873d78155cfdad377e670d89da61392b6b184f","target":"graph","created_at":"2026-07-05T02:40:05Z","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/2105.06184/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum finite automata (QFAs) literature offers an alternative mathematical model for studying quantum systems with finite memory. As a superiority of quantum computing, QFAs have been shown exponentially more succinct on certain problems such as recognizing the language $ MOD_p = \\{a^j \\mid j \\equiv 0 \\mod p\\} $ with bounded error, where $p$ is a prime number. In this paper we present improved circuit based implementations for QFA algorithms recognizing the $ MOD_p $ problem using the Qiskit framework. We focus on the case $p=11$ and provide a 3 qubit implementation for the $MOD_{11}$ proble","authors_text":"Abuzer Yakary{\\i}lmaz, Cem Nurlu, \\\"Ozlem Salehi, Utku Birkan, Viktor Olejar","cross_cats":["cs.FL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-05-13T10:51:28Z","title":"Implementing Quantum Finite Automata Algorithms on Noisy Devices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.06184","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":"sha256:5ac3e01c1491191ffeba2f6ce2f9ecbbecde20789f8bc09d1cc69ac7a204c99a","target":"record","created_at":"2026-07-05T02:40:05Z","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":"c61546250a5d0e595ef578b916b9898712aaf30f773d80a01c7c2ae5eaca1c50","cross_cats_sorted":["cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-05-13T10:51:28Z","title_canon_sha256":"11af31e28de9d431d6b52aeda1a055a815170d4cb905c9b13d151af2d2eb4a22"},"schema_version":"1.0","source":{"id":"2105.06184","kind":"arxiv","version":1}},"canonical_sha256":"ba01e9f06745b0856e166024660ba4a0f941e2ad29de2e656243b4d168124df0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba01e9f06745b0856e166024660ba4a0f941e2ad29de2e656243b4d168124df0","first_computed_at":"2026-07-05T02:40:05.114982Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:40:05.114982Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rGpG8k44hEIVyXxe89IeLXml2DSevGWyia6DjSxya50ZFERdu/qEZYxpAruHyK5kKp3/IPj1Oi6Q5GyArmcmCg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:40:05.115520Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.06184","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ac3e01c1491191ffeba2f6ce2f9ecbbecde20789f8bc09d1cc69ac7a204c99a","sha256:1fe17a3ca656fbd21f45a21513873d78155cfdad377e670d89da61392b6b184f"],"state_sha256":"55f11e7879ffeebbd76d5a385996d6610026eb8eb055a6df5756c19ffb85d297"}