{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IZ7VQKFU3S772DAB66YQ2WHJIS","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":"e6c7d41d4d83790fd60cf1aceba3f90d271afcab78c6ca933be64ec023871a74","cross_cats_sorted":["cs.CC","cs.LO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-01-21T09:58:59Z","title_canon_sha256":"6bab83cc3af77c3b7206e2dd1c2c37087317e8c3f1dfba405f01b28d4759b8bf"},"schema_version":"1.0","source":{"id":"2501.12007","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.12007","created_at":"2026-07-05T10:03:17Z"},{"alias_kind":"arxiv_version","alias_value":"2501.12007v1","created_at":"2026-07-05T10:03:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.12007","created_at":"2026-07-05T10:03:17Z"},{"alias_kind":"pith_short_12","alias_value":"IZ7VQKFU3S77","created_at":"2026-07-05T10:03:17Z"},{"alias_kind":"pith_short_16","alias_value":"IZ7VQKFU3S772DAB","created_at":"2026-07-05T10:03:17Z"},{"alias_kind":"pith_short_8","alias_value":"IZ7VQKFU","created_at":"2026-07-05T10:03:17Z"}],"graph_snapshots":[{"event_id":"sha256:fbc55e3482466511c9eb7bf8b73a0bdc69df89375a07cef8b551028aed8a617a","target":"graph","created_at":"2026-07-05T10:03:17Z","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/2501.12007/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a quantum analogue of classical first-order logic (FO) and develop a theory of quantum first-order logic as a basis of the productive discussions on the power of logical expressiveness toward quantum computing. The purpose of this work is to logically express \"quantum computation\" by introducing specially-featured quantum connectives and quantum quantifiers that quantify fixed-dimensional quantum states. Our approach is founded on the recently introduced recursion-theoretical schematic definitions of time-bounded quantum functions, which map finite-dimensional Hilbert spaces to th","authors_text":"Tomoyuki Yamakami","cross_cats":["cs.CC","cs.LO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-01-21T09:58:59Z","title":"Quantum First-Order Logics That Capture Logarithmic-Time/Space Quantum Computability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.12007","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":"sha256:58d6da4706029be820a4255fc84f43fad063279e6a96f051ca0d50dbe6685d2d","target":"record","created_at":"2026-07-05T10:03:17Z","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":"e6c7d41d4d83790fd60cf1aceba3f90d271afcab78c6ca933be64ec023871a74","cross_cats_sorted":["cs.CC","cs.LO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-01-21T09:58:59Z","title_canon_sha256":"6bab83cc3af77c3b7206e2dd1c2c37087317e8c3f1dfba405f01b28d4759b8bf"},"schema_version":"1.0","source":{"id":"2501.12007","kind":"arxiv","version":1}},"canonical_sha256":"467f5828b4dcbffd0c01f7b10d58e944a21174e1ab3755b8c4c742697c2c2aaf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"467f5828b4dcbffd0c01f7b10d58e944a21174e1ab3755b8c4c742697c2c2aaf","first_computed_at":"2026-07-05T10:03:17.381076Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:03:17.381076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9JcjzHAzKKNOtWu6FKNqYhb98LGvNHTGaNe4yWyGacRr1Q/roKXd+L0xbpMNNxhnu8GVjD+vEAhB88pzQtgADA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:03:17.381545Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.12007","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58d6da4706029be820a4255fc84f43fad063279e6a96f051ca0d50dbe6685d2d","sha256:fbc55e3482466511c9eb7bf8b73a0bdc69df89375a07cef8b551028aed8a617a"],"state_sha256":"1c08e668592f2ef377fed6e0d135d617e21057933df5c9b8354b4b3221f00315"}