{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:CQ547HIADUBJYTSXWA3JFG7PAA","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":"2efce8026f0c14a4e960ae838c2f61ebef8b5de0257cb425407f6538b6e7e44e","cross_cats_sorted":["cs.CC","cs.DM","math-ph","math.MP","physics.app-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-02T09:35:42Z","title_canon_sha256":"c9954427c4ae012cd2b1efc3ee369d5946a8af0ae38dc0648ced6466b7009f31"},"schema_version":"1.0","source":{"id":"2608.01121","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.01121","created_at":"2026-08-04T01:56:54Z"},{"alias_kind":"arxiv_version","alias_value":"2608.01121v1","created_at":"2026-08-04T01:56:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.01121","created_at":"2026-08-04T01:56:54Z"},{"alias_kind":"pith_short_12","alias_value":"CQ547HIADUBJ","created_at":"2026-08-04T01:56:54Z"},{"alias_kind":"pith_short_16","alias_value":"CQ547HIADUBJYTSX","created_at":"2026-08-04T01:56:54Z"},{"alias_kind":"pith_short_8","alias_value":"CQ547HIA","created_at":"2026-08-04T01:56:54Z"}],"graph_snapshots":[{"event_id":"sha256:07f1a1e8db5c9c832738b324d5e6ee710bd7ccdfc120bcd7a4f2119a29fe34c4","target":"graph","created_at":"2026-08-04T01:56:54Z","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/2608.01121/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"When does a noisy quantum sampler yield an end-to-end polynomial-time optimization algorithm with performance guarantees? Building on finite-depth and finite-shot guarantees for Constraint-Enhanced QAOA, we show that inverse-polynomial ideal probability on the optimal set, together with independent sampling, polynomial-time feasibility repair, and scoring, produces an exact-hit fully polynomial randomized approximation scheme, which we call an FPRASq.\n  This guarantee survives device noise within an instance-dependent window. For effective circuit depth linear in the product of layer count and","authors_text":"Chinonso Onah, Kristel Michielsen","cross_cats":["cs.CC","cs.DM","math-ph","math.MP","physics.app-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-02T09:35:42Z","title":"Geometry-Informed Polynomial Time Quantum Approximation Schemes for Constrained Optimisation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.01121","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":"sha256:89f389ab498370acae28d6dbe26f2eca7b67f2b09ee098424694d77f532a1d7d","target":"record","created_at":"2026-08-04T01:56:54Z","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":"2efce8026f0c14a4e960ae838c2f61ebef8b5de0257cb425407f6538b6e7e44e","cross_cats_sorted":["cs.CC","cs.DM","math-ph","math.MP","physics.app-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-02T09:35:42Z","title_canon_sha256":"c9954427c4ae012cd2b1efc3ee369d5946a8af0ae38dc0648ced6466b7009f31"},"schema_version":"1.0","source":{"id":"2608.01121","kind":"arxiv","version":1}},"canonical_sha256":"143bcf9d001d029c4e57b036929bef003eba3937d9cd8e91700194e3fd9bb9da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"143bcf9d001d029c4e57b036929bef003eba3937d9cd8e91700194e3fd9bb9da","first_computed_at":"2026-08-04T01:56:54.920724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T01:56:54.920724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gxyjn5hwxeQMnXtuh4NzJ6BO6aDs1x2HemYtBQFFpMBH7qC1xA7b9AJo9tx8ZbXlZCC4dnnvqm/XE9ww9rIDBw==","signature_status":"signed_v1","signed_at":"2026-08-04T01:56:54.922200Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.01121","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89f389ab498370acae28d6dbe26f2eca7b67f2b09ee098424694d77f532a1d7d","sha256:07f1a1e8db5c9c832738b324d5e6ee710bd7ccdfc120bcd7a4f2119a29fe34c4"],"state_sha256":"597cdb5e0b04f79cacaca4bc170181b4c0f37cbbaa929c06f018953d52ac1e2b"}