{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2IQ2ZJ2HVAFSYX6PSVLH5FNV7U","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":"4a2a857374f4afc45338e1797595fa4a55a525eb26f826cb9b43a31f06c71de0","cross_cats_sorted":["cs.CR","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-08-13T01:45:47Z","title_canon_sha256":"eef1dfe5e1d093c358118671bf4b25f8e623f51a14ebc4a5babd425bfaf4b42d"},"schema_version":"1.0","source":{"id":"2508.09422","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.09422","created_at":"2026-07-05T11:53:51Z"},{"alias_kind":"arxiv_version","alias_value":"2508.09422v1","created_at":"2026-07-05T11:53:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.09422","created_at":"2026-07-05T11:53:51Z"},{"alias_kind":"pith_short_12","alias_value":"2IQ2ZJ2HVAFS","created_at":"2026-07-05T11:53:51Z"},{"alias_kind":"pith_short_16","alias_value":"2IQ2ZJ2HVAFSYX6P","created_at":"2026-07-05T11:53:51Z"},{"alias_kind":"pith_short_8","alias_value":"2IQ2ZJ2H","created_at":"2026-07-05T11:53:51Z"}],"graph_snapshots":[{"event_id":"sha256:043f8a3066184e9e2a63e7b6ed9b4c10c29d0a79e304b491866ac0ce4a002a64","target":"graph","created_at":"2026-07-05T11:53:51Z","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/2508.09422/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A recent work of Schmidhuber et al (QIP, SODA, & Phys. Rev. X 2025) exhibited a quantum algorithm for the noisy planted $k$XOR problem running quartically faster than all known classical algorithms. In this work, we design a new classical algorithm that is quadratically faster than the best previous one, in the case of large constant $k$. Thus for such $k$, the quantum speedup of Schmidhuber et al. becomes only quadratic (though it retains a space advantage). Our algorithm, which also works in the semirandom case, combines tools from sublinear-time algorithms (essentially, the birthday paradox","authors_text":"Meghal Gupta, Noah G. Singer, Ryan O'Donnell, William He","cross_cats":["cs.CR","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-08-13T01:45:47Z","title":"A Classical Quadratic Speedup for Planted $k$XOR"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.09422","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":"sha256:7e3c5e99b1aeb0d2ddb8d4e9875c1dcff7ac37c14dde7e320fcef6a5513e142c","target":"record","created_at":"2026-07-05T11:53:51Z","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":"4a2a857374f4afc45338e1797595fa4a55a525eb26f826cb9b43a31f06c71de0","cross_cats_sorted":["cs.CR","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-08-13T01:45:47Z","title_canon_sha256":"eef1dfe5e1d093c358118671bf4b25f8e623f51a14ebc4a5babd425bfaf4b42d"},"schema_version":"1.0","source":{"id":"2508.09422","kind":"arxiv","version":1}},"canonical_sha256":"d221aca747a80b2c5fcf95567e95b5fd284a8a73e9cde29f7ddb8b4bbaeb1a60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d221aca747a80b2c5fcf95567e95b5fd284a8a73e9cde29f7ddb8b4bbaeb1a60","first_computed_at":"2026-07-05T11:53:51.018067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:53:51.018067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E3HktaNR8YvIcJgiJZLvQNGSzMFKyIgtM0CG1B1hxVSqkABFBiy7wXGwn4cDqmJDOw2fPy+3C2u6gZzXZuPvDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:53:51.018547Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.09422","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e3c5e99b1aeb0d2ddb8d4e9875c1dcff7ac37c14dde7e320fcef6a5513e142c","sha256:043f8a3066184e9e2a63e7b6ed9b4c10c29d0a79e304b491866ac0ce4a002a64"],"state_sha256":"2d5bf36b07c576c7dc952e82d42e8ea2d1fae50052acd054a4d14f0d06a55b64"}