{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RPRGIR7OZA56AJOQPEIKJU2K4H","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":"8fa321df7af201bf951bfad912d8d17ba66eb52ceaeb6113f814bdbe1d0c529e","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-12-18T19:00:04Z","title_canon_sha256":"1674df618901eec2a92f8c36747712dd4e5e907ca1bf5eb8a02f351cb6885cd4"},"schema_version":"1.0","source":{"id":"2312.11631","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.11631","created_at":"2026-07-05T10:21:16Z"},{"alias_kind":"arxiv_version","alias_value":"2312.11631v2","created_at":"2026-07-05T10:21:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.11631","created_at":"2026-07-05T10:21:16Z"},{"alias_kind":"pith_short_12","alias_value":"RPRGIR7OZA56","created_at":"2026-07-05T10:21:16Z"},{"alias_kind":"pith_short_16","alias_value":"RPRGIR7OZA56AJOQ","created_at":"2026-07-05T10:21:16Z"},{"alias_kind":"pith_short_8","alias_value":"RPRGIR7O","created_at":"2026-07-05T10:21:16Z"}],"graph_snapshots":[{"event_id":"sha256:9efb8188ab16f491f9d155ac08a3e5b2de68bd8cbbd3f2e7686f1a18a93dbc09","target":"graph","created_at":"2026-07-05T10:21:16Z","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/2312.11631/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An important question of quantum information is to characterize genuinely quantum (beyond-Clifford) resources necessary for universal quantum computing. Here, we use the Pauli spectrum to quantify how magic, beyond Clifford, typical many-qubit states are. We first present a phenomenological picture of the Pauli spectrum based on quantum typicality and then confirm it for Haar random states. We then introduce filtered stabilizer entropy, a magic measure that can resolve the difference between typical and atypical states. We proceed with the numerical study of the Pauli spectrum of states create","authors_text":"Anatoly Dymarsky, Piotr Sierant, Xhek Turkeshi","cross_cats":["cond-mat.stat-mech","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-12-18T19:00:04Z","title":"Pauli Spectrum and Non-stabilizerness of Typical Quantum Many-Body States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.11631","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:eae3f96d6d1c31577b0382394baee28f451cb0cf1267293c6b174b5bc80a17f4","target":"record","created_at":"2026-07-05T10:21:16Z","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":"8fa321df7af201bf951bfad912d8d17ba66eb52ceaeb6113f814bdbe1d0c529e","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-12-18T19:00:04Z","title_canon_sha256":"1674df618901eec2a92f8c36747712dd4e5e907ca1bf5eb8a02f351cb6885cd4"},"schema_version":"1.0","source":{"id":"2312.11631","kind":"arxiv","version":2}},"canonical_sha256":"8be26447eec83be025d07910a4d34ae1c2474c861371d9e560739d1dfea129eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8be26447eec83be025d07910a4d34ae1c2474c861371d9e560739d1dfea129eb","first_computed_at":"2026-07-05T10:21:16.865145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:21:16.865145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vvNm3vNnxDgxa2uW8j5EJ6bg413mWczu6WSxjoWtKvyhK9hQSbYcHQHFCSl/UzoWjYVYl+Vog+O4TPt5tZ9HAg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:21:16.865584Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.11631","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eae3f96d6d1c31577b0382394baee28f451cb0cf1267293c6b174b5bc80a17f4","sha256:9efb8188ab16f491f9d155ac08a3e5b2de68bd8cbbd3f2e7686f1a18a93dbc09"],"state_sha256":"808999f2fe3f558aad6390192eab223165e3092a76ed06960b861238d84099d2"}