{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NVH7UTPPDWR6FASRYWWGEZXMHT","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":"391f1d44c333e200b2409d596fa06684db62a855ab592ec8eea2aa3b7fc749ca","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-02-03T16:30:39Z","title_canon_sha256":"4837726df394d267bbf62a48cab8d3852c92e7345c39dc77fbd0e72bb355843f"},"schema_version":"1.0","source":{"id":"2202.01669","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.01669","created_at":"2026-07-05T03:53:56Z"},{"alias_kind":"arxiv_version","alias_value":"2202.01669v1","created_at":"2026-07-05T03:53:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.01669","created_at":"2026-07-05T03:53:56Z"},{"alias_kind":"pith_short_12","alias_value":"NVH7UTPPDWR6","created_at":"2026-07-05T03:53:56Z"},{"alias_kind":"pith_short_16","alias_value":"NVH7UTPPDWR6FASR","created_at":"2026-07-05T03:53:56Z"},{"alias_kind":"pith_short_8","alias_value":"NVH7UTPP","created_at":"2026-07-05T03:53:56Z"}],"graph_snapshots":[{"event_id":"sha256:2fa72166e0a12d66bab4a1d08c1b57322cbc9c4c4fd06792c8819c1a2035723b","target":"graph","created_at":"2026-07-05T03:53:56Z","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/2202.01669/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It was recently observed that in certain thermalizing many-body systems, measuring the complement of a subsystem that thermalized to infinite temperature in a suitable orthonormal basis gives rise to approximate quantum state k-designs as post-measurement states on the subsystem. We prove that this emergence of approximate k-designs holds true in every large system where some small subsystem is close to being maximally mixed. On a technical level we show that any high-dimensional purification of an approximately maximally mixed state induces an approximate quantum state k-design when measured ","authors_text":"Henrik Wilming, Ingo Roth","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-02-03T16:30:39Z","title":"High-temperature thermalization implies the emergence of quantum state designs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.01669","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":"sha256:195326a5bf45c694bbcc94cad7f96a8a64ae2b97b29c73687561bf07537f273e","target":"record","created_at":"2026-07-05T03:53:56Z","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":"391f1d44c333e200b2409d596fa06684db62a855ab592ec8eea2aa3b7fc749ca","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-02-03T16:30:39Z","title_canon_sha256":"4837726df394d267bbf62a48cab8d3852c92e7345c39dc77fbd0e72bb355843f"},"schema_version":"1.0","source":{"id":"2202.01669","kind":"arxiv","version":1}},"canonical_sha256":"6d4ffa4def1da3e28251c5ac6266ec3cc465ab93dc606a921c88f5b4f66cef12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d4ffa4def1da3e28251c5ac6266ec3cc465ab93dc606a921c88f5b4f66cef12","first_computed_at":"2026-07-05T03:53:56.692388Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:53:56.692388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+KWkN5kHjvSbM+n4JryNP9K/Bs10YlWkNEEc/8hROcR4Ltlq9cGx4iJLjFeI/2OcWJuyH+jKjT0XIBdNQX0oCg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:53:56.692895Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.01669","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:195326a5bf45c694bbcc94cad7f96a8a64ae2b97b29c73687561bf07537f273e","sha256:2fa72166e0a12d66bab4a1d08c1b57322cbc9c4c4fd06792c8819c1a2035723b"],"state_sha256":"c4a10153c48db314ef404c5a5484428d9f600970d6bf9f1852d50189346cdf8a"}