{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:WG6Q5SDQDWS6543V4WRA5ATD63","short_pith_number":"pith:WG6Q5SDQ","schema_version":"1.0","canonical_sha256":"b1bd0ec8701da5eef375e5a20e8263f6f0569f799fa9e14c9d66ba01527c0ffb","source":{"kind":"arxiv","id":"2608.03987","version":1},"attestation_state":"computed","paper":{"title":"Realified tensor networks: quantum circuit simulation on real-valued matrix accelerators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Chengkai Zhu, Enji Xiong, Jinguo Liu, Xiwei Pan, Yusheng Zhao","submitted_at":"2026-08-04T17:51:06Z","abstract_excerpt":"Tensor-network contraction simulates quantum circuits, but modern matrix accelerators (NPUs, TPUs) expose only real GEMM pipelines, so the complex networks of quantum simulation must be reconstructed in software. We resolve the mismatch by a realification rewrite that maps any complex tensor network to a real one. At each merge of two complex tensors, a rank-3 structure tensor realizes Gauss's three-multiplication (3M) formula; contractions with one or no complex operand need only two or one real products. We prove a tight cost law: overhead $1 + 2m + r$ in real multiplications, where $m$ and "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2608.03987","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-04T17:51:06Z","cross_cats_sorted":[],"title_canon_sha256":"09f867b7191b7d02ccdbdac8ab890624a1b5edb1b7fbbeaf6d110ea0e81ab2a2","abstract_canon_sha256":"0a0151f7f2c9b179c0f07bfb1657e2d9d212121c98edc46c8d0f1b3abf70bdfa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-05T01:37:38.929495Z","signature_b64":"An0vEGaOM1dwjbCqO9BYXjhR3pTRaL3T8Vy+Ldb/VTLZMyWJwYHGhY9hm8Vp9CUTgK64u2s3AgUh+pUdq/9dDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1bd0ec8701da5eef375e5a20e8263f6f0569f799fa9e14c9d66ba01527c0ffb","last_reissued_at":"2026-08-05T01:37:38.927933Z","signature_status":"signed_v1","first_computed_at":"2026-08-05T01:37:38.927933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Realified tensor networks: quantum circuit simulation on real-valued matrix accelerators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Chengkai Zhu, Enji Xiong, Jinguo Liu, Xiwei Pan, Yusheng Zhao","submitted_at":"2026-08-04T17:51:06Z","abstract_excerpt":"Tensor-network contraction simulates quantum circuits, but modern matrix accelerators (NPUs, TPUs) expose only real GEMM pipelines, so the complex networks of quantum simulation must be reconstructed in software. We resolve the mismatch by a realification rewrite that maps any complex tensor network to a real one. At each merge of two complex tensors, a rank-3 structure tensor realizes Gauss's three-multiplication (3M) formula; contractions with one or no complex operand need only two or one real products. We prove a tight cost law: overhead $1 + 2m + r$ in real multiplications, where $m$ and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.03987","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.03987/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2608.03987","created_at":"2026-08-05T01:37:38.928440+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.03987v1","created_at":"2026-08-05T01:37:38.928440+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.03987","created_at":"2026-08-05T01:37:38.928440+00:00"},{"alias_kind":"pith_short_12","alias_value":"WG6Q5SDQDWS6","created_at":"2026-08-05T01:37:38.928440+00:00"},{"alias_kind":"pith_short_16","alias_value":"WG6Q5SDQDWS6543V","created_at":"2026-08-05T01:37:38.928440+00:00"},{"alias_kind":"pith_short_8","alias_value":"WG6Q5SDQ","created_at":"2026-08-05T01:37:38.928440+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WG6Q5SDQDWS6543V4WRA5ATD63","json":"https://pith.science/pith/WG6Q5SDQDWS6543V4WRA5ATD63.json","graph_json":"https://pith.science/api/pith-number/WG6Q5SDQDWS6543V4WRA5ATD63/graph.json","events_json":"https://pith.science/api/pith-number/WG6Q5SDQDWS6543V4WRA5ATD63/events.json","paper":"https://pith.science/paper/WG6Q5SDQ"},"agent_actions":{"view_html":"https://pith.science/pith/WG6Q5SDQDWS6543V4WRA5ATD63","download_json":"https://pith.science/pith/WG6Q5SDQDWS6543V4WRA5ATD63.json","view_paper":"https://pith.science/paper/WG6Q5SDQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.03987&json=true","fetch_graph":"https://pith.science/api/pith-number/WG6Q5SDQDWS6543V4WRA5ATD63/graph.json","fetch_events":"https://pith.science/api/pith-number/WG6Q5SDQDWS6543V4WRA5ATD63/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WG6Q5SDQDWS6543V4WRA5ATD63/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WG6Q5SDQDWS6543V4WRA5ATD63/action/storage_attestation","attest_author":"https://pith.science/pith/WG6Q5SDQDWS6543V4WRA5ATD63/action/author_attestation","sign_citation":"https://pith.science/pith/WG6Q5SDQDWS6543V4WRA5ATD63/action/citation_signature","submit_replication":"https://pith.science/pith/WG6Q5SDQDWS6543V4WRA5ATD63/action/replication_record"}},"created_at":"2026-08-05T01:37:38.928440+00:00","updated_at":"2026-08-05T01:37:38.928440+00:00"}