{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:4RYZCCTXIW6F6RLLRP3N2IJ3NT","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":"590da0223c465cbe31d456a609b887bab2b98f9adb61f0c0baa41470865e4c15","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-03-08T02:27:59Z","title_canon_sha256":"dd20737b16074af6129ee375e426d89794e77a428f638f9f767f0e1d94a6ba48"},"schema_version":"1.0","source":{"id":"2403.04999","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.04999","created_at":"2026-07-05T08:08:55Z"},{"alias_kind":"arxiv_version","alias_value":"2403.04999v2","created_at":"2026-07-05T08:08:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.04999","created_at":"2026-07-05T08:08:55Z"},{"alias_kind":"pith_short_12","alias_value":"4RYZCCTXIW6F","created_at":"2026-07-05T08:08:55Z"},{"alias_kind":"pith_short_16","alias_value":"4RYZCCTXIW6F6RLL","created_at":"2026-07-05T08:08:55Z"},{"alias_kind":"pith_short_8","alias_value":"4RYZCCTX","created_at":"2026-07-05T08:08:55Z"}],"graph_snapshots":[{"event_id":"sha256:b25e5679e1a2a3ba80cd782a90e5500219e6e349e7ecc63dcb6c588b079e1889","target":"graph","created_at":"2026-07-05T08:08:55Z","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/2403.04999/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An $\\epsilon$-test for any non-trivial property (one for which there are both satisfying inputs and inputs of large distance from the property) should use a number of queries that is at least inversely proportional in $\\epsilon$. However, to the best of our knowledge there is no reference proof for this intuition. Such a proof is provided here. It is written so as to not require any prior knowledge of the related literature, and in particular does not use Yao's method.","authors_text":"Eldar Fischer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-03-08T02:27:59Z","title":"A basic lower bound for property testing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.04999","kind":"arxiv","version":2},"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":"sha256:7a0594344166b8e0d2764c436224955b01dc5aba3d08923d864ff5031576add1","target":"record","created_at":"2026-07-05T08:08:55Z","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":"590da0223c465cbe31d456a609b887bab2b98f9adb61f0c0baa41470865e4c15","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-03-08T02:27:59Z","title_canon_sha256":"dd20737b16074af6129ee375e426d89794e77a428f638f9f767f0e1d94a6ba48"},"schema_version":"1.0","source":{"id":"2403.04999","kind":"arxiv","version":2}},"canonical_sha256":"e471910a7745bc5f456b8bf6dd213b6cc0fdbf0d535ab0570ad0cf7333067988","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e471910a7745bc5f456b8bf6dd213b6cc0fdbf0d535ab0570ad0cf7333067988","first_computed_at":"2026-07-05T08:08:55.747844Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:08:55.747844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zB00fh7RZ/QozpPQapq2BZPbL7/UnDId73b1jIRQS3i5H1021BGoVcsO+3VMPemUPbYcKuygPqHCHteUAu6LBA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:08:55.748326Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.04999","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a0594344166b8e0d2764c436224955b01dc5aba3d08923d864ff5031576add1","sha256:b25e5679e1a2a3ba80cd782a90e5500219e6e349e7ecc63dcb6c588b079e1889"],"state_sha256":"72d6dd40c62fbb43113d198d81a7d6e37a5c39e6047535d0725b3f635a5f9514"}