{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LR7GLCKGM3IFTC4KEPRH64FDWZ","short_pith_number":"pith:LR7GLCKG","canonical_record":{"source":{"id":"2407.12762","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2024-07-17T17:39:42Z","cross_cats_sorted":[],"title_canon_sha256":"588c1e4c8adc02fd43a9c0e7ae3e77e9b6fbb06550cddf7b72741a8a780adc7d","abstract_canon_sha256":"0e952c88e39578e05e66940271ad11cd957e64487140d3e39bcfc644fe51f032"},"schema_version":"1.0"},"canonical_sha256":"5c7e65894666d0598b8a23e27f70a3b67ccec0f85e785b655bd2d7127f659d88","source":{"kind":"arxiv","id":"2407.12762","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.12762","created_at":"2026-07-05T09:32:32Z"},{"alias_kind":"arxiv_version","alias_value":"2407.12762v2","created_at":"2026-07-05T09:32:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.12762","created_at":"2026-07-05T09:32:32Z"},{"alias_kind":"pith_short_12","alias_value":"LR7GLCKGM3IF","created_at":"2026-07-05T09:32:32Z"},{"alias_kind":"pith_short_16","alias_value":"LR7GLCKGM3IFTC4K","created_at":"2026-07-05T09:32:32Z"},{"alias_kind":"pith_short_8","alias_value":"LR7GLCKG","created_at":"2026-07-05T09:32:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LR7GLCKGM3IFTC4KEPRH64FDWZ","target":"record","payload":{"canonical_record":{"source":{"id":"2407.12762","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2024-07-17T17:39:42Z","cross_cats_sorted":[],"title_canon_sha256":"588c1e4c8adc02fd43a9c0e7ae3e77e9b6fbb06550cddf7b72741a8a780adc7d","abstract_canon_sha256":"0e952c88e39578e05e66940271ad11cd957e64487140d3e39bcfc644fe51f032"},"schema_version":"1.0"},"canonical_sha256":"5c7e65894666d0598b8a23e27f70a3b67ccec0f85e785b655bd2d7127f659d88","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:32:32.291250Z","signature_b64":"o8uhpDJ5m9mv/uDzMsjmRs8rvqb0NcCscRIMljpouvZGj4Hb81GN/9+yM7cksKNqdptle5BUppAeGflO8AL0AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c7e65894666d0598b8a23e27f70a3b67ccec0f85e785b655bd2d7127f659d88","last_reissued_at":"2026-07-05T09:32:32.290728Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:32:32.290728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.12762","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:32:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K2ll0R7IITW+7PAfWawfndj7T98WMwn7stNwloHnJ3O+vgn36UDWgnDVcuhHeN+h3RP9D1TXIfxdhrreaDlfCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T11:49:54.258081Z"},"content_sha256":"752c6ad317b9437e6b7c61d4983066855557d36c39347ac2ece8c5c4ee431495","schema_version":"1.0","event_id":"sha256:752c6ad317b9437e6b7c61d4983066855557d36c39347ac2ece8c5c4ee431495"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LR7GLCKGM3IFTC4KEPRH64FDWZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasi-Linear Size PCPs with Small Soundness from HDX","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CC","authors_text":"Dor Minzer, Mitali Bafna, Nikhil Vyas","submitted_at":"2024-07-17T17:39:42Z","abstract_excerpt":"We construct 2-query, quasi-linear size probabilistically checkable proofs (PCPs) with arbitrarily small constant soundness, improving upon Dinur's 2-query quasi-linear size PCPs with soundness $1-\\Omega(1)$. As an immediate corollary, we get that under the exponential time hypothesis, for all $\\epsilon>0$ no approximation algorithm for $3$-SAT can obtain an approximation ratio of $7/8+\\epsilon$ in time $2^{n/\\log^C n}$, where $C$ is a constant depending on $\\epsilon$. Our result builds on a recent line of independent works by Bafna, Lifshitz and Minzer, and Dikstein, Dinur and Lubotzky, that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.12762","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.12762/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:32:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tR3VdOLDj+pnRuG31eCYzVKkmTWcqd8pgCjvFi9rQDfEPfmmuISJqL/yT9Bwkuv6g2IHDC3xpjmLHzZUJpupCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T11:49:54.258655Z"},"content_sha256":"38ad29dc147058660667b9ea283f953f52a77b8d7a2fe5b825eefa5c17068ea2","schema_version":"1.0","event_id":"sha256:38ad29dc147058660667b9ea283f953f52a77b8d7a2fe5b825eefa5c17068ea2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LR7GLCKGM3IFTC4KEPRH64FDWZ/bundle.json","state_url":"https://pith.science/pith/LR7GLCKGM3IFTC4KEPRH64FDWZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LR7GLCKGM3IFTC4KEPRH64FDWZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-21T11:49:54Z","links":{"resolver":"https://pith.science/pith/LR7GLCKGM3IFTC4KEPRH64FDWZ","bundle":"https://pith.science/pith/LR7GLCKGM3IFTC4KEPRH64FDWZ/bundle.json","state":"https://pith.science/pith/LR7GLCKGM3IFTC4KEPRH64FDWZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LR7GLCKGM3IFTC4KEPRH64FDWZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LR7GLCKGM3IFTC4KEPRH64FDWZ","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":"0e952c88e39578e05e66940271ad11cd957e64487140d3e39bcfc644fe51f032","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2024-07-17T17:39:42Z","title_canon_sha256":"588c1e4c8adc02fd43a9c0e7ae3e77e9b6fbb06550cddf7b72741a8a780adc7d"},"schema_version":"1.0","source":{"id":"2407.12762","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.12762","created_at":"2026-07-05T09:32:32Z"},{"alias_kind":"arxiv_version","alias_value":"2407.12762v2","created_at":"2026-07-05T09:32:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.12762","created_at":"2026-07-05T09:32:32Z"},{"alias_kind":"pith_short_12","alias_value":"LR7GLCKGM3IF","created_at":"2026-07-05T09:32:32Z"},{"alias_kind":"pith_short_16","alias_value":"LR7GLCKGM3IFTC4K","created_at":"2026-07-05T09:32:32Z"},{"alias_kind":"pith_short_8","alias_value":"LR7GLCKG","created_at":"2026-07-05T09:32:32Z"}],"graph_snapshots":[{"event_id":"sha256:38ad29dc147058660667b9ea283f953f52a77b8d7a2fe5b825eefa5c17068ea2","target":"graph","created_at":"2026-07-05T09:32:32Z","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/2407.12762/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct 2-query, quasi-linear size probabilistically checkable proofs (PCPs) with arbitrarily small constant soundness, improving upon Dinur's 2-query quasi-linear size PCPs with soundness $1-\\Omega(1)$. As an immediate corollary, we get that under the exponential time hypothesis, for all $\\epsilon>0$ no approximation algorithm for $3$-SAT can obtain an approximation ratio of $7/8+\\epsilon$ in time $2^{n/\\log^C n}$, where $C$ is a constant depending on $\\epsilon$. Our result builds on a recent line of independent works by Bafna, Lifshitz and Minzer, and Dikstein, Dinur and Lubotzky, that ","authors_text":"Dor Minzer, Mitali Bafna, Nikhil Vyas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2024-07-17T17:39:42Z","title":"Quasi-Linear Size PCPs with Small Soundness from HDX"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.12762","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":"sha256:752c6ad317b9437e6b7c61d4983066855557d36c39347ac2ece8c5c4ee431495","target":"record","created_at":"2026-07-05T09:32:32Z","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":"0e952c88e39578e05e66940271ad11cd957e64487140d3e39bcfc644fe51f032","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2024-07-17T17:39:42Z","title_canon_sha256":"588c1e4c8adc02fd43a9c0e7ae3e77e9b6fbb06550cddf7b72741a8a780adc7d"},"schema_version":"1.0","source":{"id":"2407.12762","kind":"arxiv","version":2}},"canonical_sha256":"5c7e65894666d0598b8a23e27f70a3b67ccec0f85e785b655bd2d7127f659d88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c7e65894666d0598b8a23e27f70a3b67ccec0f85e785b655bd2d7127f659d88","first_computed_at":"2026-07-05T09:32:32.290728Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:32:32.290728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o8uhpDJ5m9mv/uDzMsjmRs8rvqb0NcCscRIMljpouvZGj4Hb81GN/9+yM7cksKNqdptle5BUppAeGflO8AL0AA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:32:32.291250Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.12762","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:752c6ad317b9437e6b7c61d4983066855557d36c39347ac2ece8c5c4ee431495","sha256:38ad29dc147058660667b9ea283f953f52a77b8d7a2fe5b825eefa5c17068ea2"],"state_sha256":"8414d1674f6f22a1003f25e6ff50cd6344f435108f52ea072624ad3cf498ff15"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wCuyvD3WBBzsWIXK3gNupuiVPYXPDdc+1jNpYFt2+op3YXzWnxqMAI9v4I/OLdgYv7TS0ONx4Hu7DOPUrXzYCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T11:49:54.262830Z","bundle_sha256":"2f33452bb534bd195c1cdccdb544e49c7877a161c98bde3239aa6430f98bead2"}}