{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AM7O42JJMQPELFMDCAS2NOMNNN","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":"0a0a4a887bd2cc862415e259d1fc398c87a91d8efd8199f1334e6261387174c5","cross_cats_sorted":["cs.FL","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2017-03-21T12:48:28Z","title_canon_sha256":"e661c9e87c4c8aba912790b4824f47c4d78f9f777dca1ee78bd57496e4f3f9ac"},"schema_version":"1.0","source":{"id":"1703.07184","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.07184","created_at":"2026-05-18T00:44:51Z"},{"alias_kind":"arxiv_version","alias_value":"1703.07184v2","created_at":"2026-05-18T00:44:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07184","created_at":"2026-05-18T00:44:51Z"},{"alias_kind":"pith_short_12","alias_value":"AM7O42JJMQPE","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AM7O42JJMQPELFMD","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AM7O42JJ","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:92a6270f9446d370c8b3148e4396248d519c74a9ea636adc0d01b30a9c18f7c9","target":"graph","created_at":"2026-05-18T00:44:51Z","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 introduce the affine OBDD model and show that zero-error affine OBDDs can be exponentially narrower than bounded-error unitary and probabilistic OBDDs on certain problems. Moreover, we show that Las Vegas unitary and probabilistic OBDDs can be quadratically narrower than deterministic OBDDs. We also obtain the same results by considering the automata versions of these models.","authors_text":"Abuzer Yakaryilmaz, Jevgenijs Vihrovs, Kamil Khadiev, Krisjanis Prusis, Rishat Ibrahimov","cross_cats":["cs.FL","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2017-03-21T12:48:28Z","title":"Zero-Error Affine, Unitary, and Probabilistic OBDDs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07184","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:c23e6faefd7ff7c304498429661ee674351cbb9168be2c86b930cfd524eb7c98","target":"record","created_at":"2026-05-18T00:44:51Z","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":"0a0a4a887bd2cc862415e259d1fc398c87a91d8efd8199f1334e6261387174c5","cross_cats_sorted":["cs.FL","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2017-03-21T12:48:28Z","title_canon_sha256":"e661c9e87c4c8aba912790b4824f47c4d78f9f777dca1ee78bd57496e4f3f9ac"},"schema_version":"1.0","source":{"id":"1703.07184","kind":"arxiv","version":2}},"canonical_sha256":"033eee6929641e4595831025a6b98d6b418f0916c90dcfc3bdb4232fc1f20455","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"033eee6929641e4595831025a6b98d6b418f0916c90dcfc3bdb4232fc1f20455","first_computed_at":"2026-05-18T00:44:51.350226Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:51.350226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K/za8ruD55LWqUI6OFefIUSwRcOyWL9v3WsZCrOSM/i9MKn5lDTtqHnUcZ4sExZuTkJ680VbDbNNJPCStAxrCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:51.350775Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.07184","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c23e6faefd7ff7c304498429661ee674351cbb9168be2c86b930cfd524eb7c98","sha256:92a6270f9446d370c8b3148e4396248d519c74a9ea636adc0d01b30a9c18f7c9"],"state_sha256":"9316f3732a8b376f0e3a145fb75ed06e577fba60d61d9ce09eb5d7451cc1e072"}