{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PTUM2IBPO6JQTST4R6FWE73HGU","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":"435b5383906294125836b8ae7959a30278b471f406ce0d8245186de59fb41ed0","cross_cats_sorted":["cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-13T07:42:40Z","title_canon_sha256":"c09b728f88d02121686bf37004111991b5d2f1e3b48a8b11116a1cc60262cb2a"},"schema_version":"1.0","source":{"id":"1202.2651","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.2651","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"arxiv_version","alias_value":"1202.2651v2","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2651","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"pith_short_12","alias_value":"PTUM2IBPO6JQ","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PTUM2IBPO6JQTST4","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PTUM2IBP","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:d456a6027a3362c229b419a77d4de9b76f8039becc47293438d3a128a5942662","target":"graph","created_at":"2026-05-18T03:55:02Z","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":"{\\it Two-way quantum automata with quantum and classical states} (2QCFA) were introduced by Ambainis and Watrous in 2002. In this paper we study state succinctness of 2QCFA.\n  For any $m\\in {\\mathbb{Z}}^+$ and any $\\epsilon<1/2$, we show that: {enumerate} there is a promise problem $A^{eq}(m)$ which can be solved by a 2QCFA with one-sided error $\\epsilon$ in a polynomial expected running time with a constant number (that depends neither on $m$ nor on $\\varepsilon$) of quantum states and $\\mathbf{O}(\\log{\\frac{1}{\\epsilon})}$ classical states, whereas the sizes of the corresponding {\\it determi","authors_text":"Daowen Qiu, Jozef Gruska, Lvzhou Li, Paulo Mateus, Shenggen Zheng","cross_cats":["cs.FL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-13T07:42:40Z","title":"State succinctness of two-way finite automata with quantum and classical states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2651","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":"sha256:0caa9c1bd0b9d9d94e66601f1d589c18c029ce0a417f974c2898b9fea7b4b370","target":"record","created_at":"2026-05-18T03:55:02Z","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":"435b5383906294125836b8ae7959a30278b471f406ce0d8245186de59fb41ed0","cross_cats_sorted":["cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-13T07:42:40Z","title_canon_sha256":"c09b728f88d02121686bf37004111991b5d2f1e3b48a8b11116a1cc60262cb2a"},"schema_version":"1.0","source":{"id":"1202.2651","kind":"arxiv","version":2}},"canonical_sha256":"7ce8cd202f779309ca7c8f8b627f67351a324f6e62318d8e1d49138e0b646659","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ce8cd202f779309ca7c8f8b627f67351a324f6e62318d8e1d49138e0b646659","first_computed_at":"2026-05-18T03:55:02.614564Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:02.614564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OYm9pJSB4Yh3qhtoQ0Jqd0vnaWVwvxDB1Y6Nh2BhqfTJdIFprHCYXBteP3x1O/dZbF17LGTgzk1kcbFaTI8YCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:02.615349Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.2651","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0caa9c1bd0b9d9d94e66601f1d589c18c029ce0a417f974c2898b9fea7b4b370","sha256:d456a6027a3362c229b419a77d4de9b76f8039becc47293438d3a128a5942662"],"state_sha256":"6e1f276fa1cfa44630ee3016d73fd9853f8b9a1374912b88de74a7cb3fe49ac6"}