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Applying this to pseudorandom generators ($\\textsf{PRG}$s) and pseudorandom states ($\\textsf{PRS}$s), leads to the notions denoted as $\\textsf{PRG}^{qs}$ and $\\textsf{PRS}^{qs}$, respectively. The second relaxation, $\\bot$-pseudodeterminism, relaxes the determinism requirement by allowing the output to be a special symbol $\\bot$ on an inverse-polynomial fraction of inputs.\n  We demonstra"},"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":"2505.14461","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-20T14:57:04Z","cross_cats_sorted":["cs.CR"],"title_canon_sha256":"0afba4906921502b99e9aaf5194b575f3c943f692acf4003771081a5b3b43f4e","abstract_canon_sha256":"41955d9db766366b8869ad33d4311d16d2bae4528ff54b74f7dbdcf3587d886c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:06:01.673346Z","signature_b64":"PhsVeglQauIL+pvk0N9lVatrIQfmIAABfreWvKpGA8YufAPBXFxPWcuJ1VjXok3UmOeDNiD5O4SuFMBpVXSnCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8705e7494d71da7ea5de9316e9718cbeabb66efb81ec8dd5704bbc8251a0fe2e","last_reissued_at":"2026-07-05T11:06:01.672867Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:06:01.672867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"MicroCrypt Assumptions with Quantum Input Sampling and Pseudodeterminism: Constructions and Separations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CR"],"primary_cat":"quant-ph","authors_text":"Mohammed Barhoush, Ryo Nishimaki, Takashi Yamakawa","submitted_at":"2025-05-20T14:57:04Z","abstract_excerpt":"We investigate two natural relaxations of quantum cryptographic primitives. 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