{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:QY7DORL45KVCJKTNNNQDM5KM6K","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":"37b1e61964c503f9509a93c9694d32699a84f6a538e068dedcb5d85139114d92","cross_cats_sorted":["cs.AI","cs.LG","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-05T17:44:36Z","title_canon_sha256":"5a96e26048f98ffd75052c112cc071068365b6d0128e3a70da8a101fc6ffb425"},"schema_version":"1.0","source":{"id":"2608.05110","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.05110","created_at":"2026-08-06T01:49:13Z"},{"alias_kind":"arxiv_version","alias_value":"2608.05110v1","created_at":"2026-08-06T01:49:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.05110","created_at":"2026-08-06T01:49:13Z"},{"alias_kind":"pith_short_12","alias_value":"QY7DORL45KVC","created_at":"2026-08-06T01:49:13Z"},{"alias_kind":"pith_short_16","alias_value":"QY7DORL45KVCJKTN","created_at":"2026-08-06T01:49:13Z"},{"alias_kind":"pith_short_8","alias_value":"QY7DORL4","created_at":"2026-08-06T01:49:13Z"}],"graph_snapshots":[{"event_id":"sha256:77039d58b569bc730d12b91d22c86c3b791c8a7b6e5d0ccf556383fe3bc4ccf6","target":"graph","created_at":"2026-08-06T01:49:13Z","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/2608.05110/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Near-term quantum hardware limits circuit depth and often imposes geometrically local connectivity for quantum generative models, restricting the output distributions accessible to shallow unitary Born models. Introducing stochasticity into a unitary quantum Born model can improve the empirical generative performance of the resulting channel model and, for a restricted small-scale architecture, has been proven to represent a strictly larger family of distributions than its unitary counterpart. However, whether such randomness provides a provable separation at fixed shallow depth for arbitraril","authors_text":"Arunava Majumder, Hans J. Briegel, Hendrik Poulsen Nautrup, Marius Krumm","cross_cats":["cs.AI","cs.LG","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-05T17:44:36Z","title":"Representational separation between unitary and channel quantum generative models via shared classical randomness at shallow depth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.05110","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":"sha256:8343c7cb3548c3c9c2171bf864c7fd0966f88ab69b40ca0b14fb10d5b360366f","target":"record","created_at":"2026-08-06T01:49:13Z","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":"37b1e61964c503f9509a93c9694d32699a84f6a538e068dedcb5d85139114d92","cross_cats_sorted":["cs.AI","cs.LG","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-05T17:44:36Z","title_canon_sha256":"5a96e26048f98ffd75052c112cc071068365b6d0128e3a70da8a101fc6ffb425"},"schema_version":"1.0","source":{"id":"2608.05110","kind":"arxiv","version":1}},"canonical_sha256":"863e37457ceaaa24aa6d6b6036754cf2947c04d9d6b09b817b5670bb4b568c6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"863e37457ceaaa24aa6d6b6036754cf2947c04d9d6b09b817b5670bb4b568c6e","first_computed_at":"2026-08-06T01:49:13.156134Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-06T01:49:13.156134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t3e5kQVUJnYZ5mWHm7YPAV+7L/hciztjJfGSGrWLvnR/i0RXMkmmBcrxaV2TB6P8mVY0s2eN3Jj9jf+lOpduBg==","signature_status":"signed_v1","signed_at":"2026-08-06T01:49:13.157637Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.05110","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8343c7cb3548c3c9c2171bf864c7fd0966f88ab69b40ca0b14fb10d5b360366f","sha256:77039d58b569bc730d12b91d22c86c3b791c8a7b6e5d0ccf556383fe3bc4ccf6"],"state_sha256":"8f02ec9c3b0a322f0d31c302314bb28b89254e3d92e274780de853c2de0d8791"}