{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LGFL6PHO4HFMZJHQ7UGWN6D2LO","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":"2234730a8d72ab7347e4b945f8abfc76bc1aa0b0ddf2e785e12d63cf8ab48779","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-13T18:00:07Z","title_canon_sha256":"5aaba0e004ef0535120483dafe84edf48b46ea5c13470048a55500f1b30f91e4"},"schema_version":"1.0","source":{"id":"2607.12035","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.12035","created_at":"2026-07-15T00:21:29Z"},{"alias_kind":"arxiv_version","alias_value":"2607.12035v1","created_at":"2026-07-15T00:21:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.12035","created_at":"2026-07-15T00:21:29Z"},{"alias_kind":"pith_short_12","alias_value":"LGFL6PHO4HFM","created_at":"2026-07-15T00:21:29Z"},{"alias_kind":"pith_short_16","alias_value":"LGFL6PHO4HFMZJHQ","created_at":"2026-07-15T00:21:29Z"},{"alias_kind":"pith_short_8","alias_value":"LGFL6PHO","created_at":"2026-07-15T00:21:29Z"}],"graph_snapshots":[{"event_id":"sha256:b1183ea3a3c97168e84ecdf394a85a16571be2414af2433462745c9cbd3c9760","target":"graph","created_at":"2026-07-15T00:21:29Z","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/2607.12035/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum reservoir computing (QRC) provides a hardware-efficient paradigm for temporal information processing on near-term quantum devices. Despite rapid experimental progress, a rigorous understanding of the structural conditions required for its scalable quantum-enhanced performance remains lacking. Here, we develop a theoretical framework in Pauli-Liouville space that provides a unified analytical treatment of the echo state property (ESP), nonlinear expressive power, and quantum resources. We first analyze the widely used qubit-resetting scheme and establish that quantum magic generated by ","authors_text":"Shuaifan Cao, Wei Xia, Xiaopeng Li, Xingze Qiu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-13T18:00:07Z","title":"Quantum magic and non-commutativity as computational resources in quantum reservoir computing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.12035","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":"sha256:601839ab399302d2e0549b3d84d42d6bcc685f7cfbcc80865f75806adfd9dfc5","target":"record","created_at":"2026-07-15T00:21:29Z","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":"2234730a8d72ab7347e4b945f8abfc76bc1aa0b0ddf2e785e12d63cf8ab48779","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-13T18:00:07Z","title_canon_sha256":"5aaba0e004ef0535120483dafe84edf48b46ea5c13470048a55500f1b30f91e4"},"schema_version":"1.0","source":{"id":"2607.12035","kind":"arxiv","version":1}},"canonical_sha256":"598abf3ceee1cacca4f0fd0d66f87a5bba8c36883628cb1c4a63976ed31ef7cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"598abf3ceee1cacca4f0fd0d66f87a5bba8c36883628cb1c4a63976ed31ef7cf","first_computed_at":"2026-07-15T00:21:29.227488Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-15T00:21:29.227488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4IJtiaLjP5MUjnHN38i/l7ZCVED+lJ9LB8ISsUj+rH16nbuHwDm1N/QnqLufrt+udcTTmG+PcsxiviLNHzgYAA==","signature_status":"signed_v1","signed_at":"2026-07-15T00:21:29.228299Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.12035","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:601839ab399302d2e0549b3d84d42d6bcc685f7cfbcc80865f75806adfd9dfc5","sha256:b1183ea3a3c97168e84ecdf394a85a16571be2414af2433462745c9cbd3c9760"],"state_sha256":"d465e7088d67699153fb44523b62f94c34aa753b402f9a563d97585643e234d4"}