{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MJH3FJQLGO4EQ26AM3LA4SS2MX","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":"fa393eda25d6abb2d906cda63bfb582ce198fa1b611f4ec790dba7d7dded23b0","cross_cats_sorted":["cs.ET"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-27T09:14:53Z","title_canon_sha256":"607eabce4f3aa5825ce35b5703b99cedcb1d8fb3bb3cde5381cde3fef9fd95a1"},"schema_version":"1.0","source":{"id":"2607.24195","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24195","created_at":"2026-07-28T02:23:50Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24195v1","created_at":"2026-07-28T02:23:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24195","created_at":"2026-07-28T02:23:50Z"},{"alias_kind":"pith_short_12","alias_value":"MJH3FJQLGO4E","created_at":"2026-07-28T02:23:50Z"},{"alias_kind":"pith_short_16","alias_value":"MJH3FJQLGO4EQ26A","created_at":"2026-07-28T02:23:50Z"},{"alias_kind":"pith_short_8","alias_value":"MJH3FJQL","created_at":"2026-07-28T02:23:50Z"}],"graph_snapshots":[{"event_id":"sha256:3fd0581194f8ec718b947f15c01a0d466f0835967e0f55bae951cf84a053d1e3","target":"graph","created_at":"2026-07-28T02:23:50Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.24195/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Exact synthesis is a useful tool in quantum compilation by providing optimal alternative implementations of small circuit shards and is widely used as a circuit re-synthesis optimization kernel. However, existing exact synthesis methods suffer from encoding overhead, poor parallel scalability, and memory bottlenecks. This paper introduces a parallel exact synthesis framework for CNOT and phase polynomial circuits, which is based on the semi-tensor product (STP) theory of matrices. By enumerating undirected partial-gate topologies and solving the missing gate directions separately, we are able ","authors_text":"Chenjian Li, Dingchao Gao, Ji Guan, Pengcheng Zhu, Xiangzhen Zhou, Zhufei Chu","cross_cats":["cs.ET"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-27T09:14:53Z","title":"Parallelizable Exact Synthesis of Quantum Circuits via Semi-Tensor Product"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24195","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:d4c5a9fcbc3f8b4a74c2869df3f0bf2c49d2b07d73b709facfc1511bc8ebf6cf","target":"record","created_at":"2026-07-28T02:23:50Z","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":"fa393eda25d6abb2d906cda63bfb582ce198fa1b611f4ec790dba7d7dded23b0","cross_cats_sorted":["cs.ET"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-27T09:14:53Z","title_canon_sha256":"607eabce4f3aa5825ce35b5703b99cedcb1d8fb3bb3cde5381cde3fef9fd95a1"},"schema_version":"1.0","source":{"id":"2607.24195","kind":"arxiv","version":1}},"canonical_sha256":"624fb2a60b33b8486bc066d60e4a5a65dc6131ab861371412c98e125e8cc75d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"624fb2a60b33b8486bc066d60e4a5a65dc6131ab861371412c98e125e8cc75d6","first_computed_at":"2026-07-28T02:23:50.278060Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T02:23:50.278060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T7Ajh6JC37KEvTbZd8denN6bvBAWjuBgOz27u6whL4yIWjaQFv/Wq16To1bULKooF7dm1eAamGpxH/5EhvxkDg==","signature_status":"signed_v1","signed_at":"2026-07-28T02:23:50.279028Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.24195","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4c5a9fcbc3f8b4a74c2869df3f0bf2c49d2b07d73b709facfc1511bc8ebf6cf","sha256:3fd0581194f8ec718b947f15c01a0d466f0835967e0f55bae951cf84a053d1e3"],"state_sha256":"2fb8b69d49bb374be78729ed17665cc32cead484bbb7be21b1264eeb75889d6b"}