{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:WYSCCGDWGGT4CIANDUYSMJY4O3","short_pith_number":"pith:WYSCCGDW","schema_version":"1.0","canonical_sha256":"b62421187631a7c1200d1d3126271c76fb89c593aa503703f9d0850021722bec","source":{"kind":"arxiv","id":"2608.13491","version":1},"attestation_state":"computed","paper":{"title":"Strong unitary designs in optimal depth and space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Antonio A. Mele, J\\'ulia Barber\\`a-Rodr\\'iguez, Salvatore F. E. Oliviero, Teodor Parella-Dilm\\'e","submitted_at":"2026-08-13T17:19:01Z","abstract_excerpt":"Unitary designs provide finite-moment approximations to Haar-random unitaries, with wide-ranging applications across physics and quantum information, from scrambling and black-hole dynamics to foundational primitives in quantum algorithms. Strong unitary designs capture a more demanding operational notion of approximation, requiring indistinguishability from Haar randomness even for quantum algorithms that may access a unitary not only in the forward direction, but also through its inverse, transpose, and complex conjugate. Motivated by the physical requirement that scrambling arise within the"},"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":"2608.13491","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-13T17:19:01Z","cross_cats_sorted":[],"title_canon_sha256":"66638f8883b7dcc807b25b0e64ffe71d13777bc6df03f410ee13fe3eca94334b","abstract_canon_sha256":"62c7d4f548defdf3596c76e5583d31304da7915e529d4a496b415eaacdb7b965"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-14T01:24:51.886380Z","signature_b64":"rshkjki9UrNe8UklsesdgTorjmEruqHN6MdgCd7jKsr1nz3DdiOzY52h32YYbHMgdMPWmAJyZsWMv2iqwVnYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b62421187631a7c1200d1d3126271c76fb89c593aa503703f9d0850021722bec","last_reissued_at":"2026-08-14T01:24:51.883977Z","signature_status":"signed_v1","first_computed_at":"2026-08-14T01:24:51.883977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strong unitary designs in optimal depth and space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Antonio A. Mele, J\\'ulia Barber\\`a-Rodr\\'iguez, Salvatore F. E. Oliviero, Teodor Parella-Dilm\\'e","submitted_at":"2026-08-13T17:19:01Z","abstract_excerpt":"Unitary designs provide finite-moment approximations to Haar-random unitaries, with wide-ranging applications across physics and quantum information, from scrambling and black-hole dynamics to foundational primitives in quantum algorithms. Strong unitary designs capture a more demanding operational notion of approximation, requiring indistinguishability from Haar randomness even for quantum algorithms that may access a unitary not only in the forward direction, but also through its inverse, transpose, and complex conjugate. Motivated by the physical requirement that scrambling arise within the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.13491","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/2608.13491/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":"2608.13491","created_at":"2026-08-14T01:24:51.885537+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.13491v1","created_at":"2026-08-14T01:24:51.885537+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.13491","created_at":"2026-08-14T01:24:51.885537+00:00"},{"alias_kind":"pith_short_12","alias_value":"WYSCCGDWGGT4","created_at":"2026-08-14T01:24:51.885537+00:00"},{"alias_kind":"pith_short_16","alias_value":"WYSCCGDWGGT4CIAN","created_at":"2026-08-14T01:24:51.885537+00:00"},{"alias_kind":"pith_short_8","alias_value":"WYSCCGDW","created_at":"2026-08-14T01:24:51.885537+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/WYSCCGDWGGT4CIANDUYSMJY4O3","json":"https://pith.science/pith/WYSCCGDWGGT4CIANDUYSMJY4O3.json","graph_json":"https://pith.science/api/pith-number/WYSCCGDWGGT4CIANDUYSMJY4O3/graph.json","events_json":"https://pith.science/api/pith-number/WYSCCGDWGGT4CIANDUYSMJY4O3/events.json","paper":"https://pith.science/paper/WYSCCGDW"},"agent_actions":{"view_html":"https://pith.science/pith/WYSCCGDWGGT4CIANDUYSMJY4O3","download_json":"https://pith.science/pith/WYSCCGDWGGT4CIANDUYSMJY4O3.json","view_paper":"https://pith.science/paper/WYSCCGDW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.13491&json=true","fetch_graph":"https://pith.science/api/pith-number/WYSCCGDWGGT4CIANDUYSMJY4O3/graph.json","fetch_events":"https://pith.science/api/pith-number/WYSCCGDWGGT4CIANDUYSMJY4O3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WYSCCGDWGGT4CIANDUYSMJY4O3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WYSCCGDWGGT4CIANDUYSMJY4O3/action/storage_attestation","attest_author":"https://pith.science/pith/WYSCCGDWGGT4CIANDUYSMJY4O3/action/author_attestation","sign_citation":"https://pith.science/pith/WYSCCGDWGGT4CIANDUYSMJY4O3/action/citation_signature","submit_replication":"https://pith.science/pith/WYSCCGDWGGT4CIANDUYSMJY4O3/action/replication_record"}},"created_at":"2026-08-14T01:24:51.885537+00:00","updated_at":"2026-08-14T01:24:51.885537+00:00"}