{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:264JG4CHW6KYFUHX4TI5CCW3AW","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":"c1d76e45900d9e1a2ec8f1e03baef755c8044df37b36f7c609dedd03b0c1552d","cross_cats_sorted":["cs.CC","cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CR","submitted_at":"2024-02-06T02:17:08Z","title_canon_sha256":"2346ffcd37c6b36683aeec614a109f9ad54d501f197fb0af56cde09d5c2ca7a7"},"schema_version":"1.0","source":{"id":"2402.03633","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.03633","created_at":"2026-07-05T07:41:55Z"},{"alias_kind":"arxiv_version","alias_value":"2402.03633v1","created_at":"2026-07-05T07:41:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.03633","created_at":"2026-07-05T07:41:55Z"},{"alias_kind":"pith_short_12","alias_value":"264JG4CHW6KY","created_at":"2026-07-05T07:41:55Z"},{"alias_kind":"pith_short_16","alias_value":"264JG4CHW6KYFUHX","created_at":"2026-07-05T07:41:55Z"},{"alias_kind":"pith_short_8","alias_value":"264JG4CH","created_at":"2026-07-05T07:41:55Z"}],"graph_snapshots":[{"event_id":"sha256:74049071f4d347936435effa14175d77a79bd953c01f9bd162add21590466885","target":"graph","created_at":"2026-07-05T07:41:55Z","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/2402.03633/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Over the past few decades, we have seen a proliferation of advanced cryptographic primitives with lossy or homomorphic properties built from various assumptions such as Quadratic Residuosity, Decisional Diffie-Hellman, and Learning with Errors. These primitives imply hard problems in the complexity class $SZK$ (statistical zero-knowledge); as a consequence, they can only be based on assumptions that are broken in $BPP^{SZK}$. This poses a barrier for building advanced primitives from code-based assumptions, as the only known such assumption is Learning Parity with Noise (LPN) with an extremely","authors_text":"Aayush Jain, Quang Dao","cross_cats":["cs.CC","cs.IT","math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CR","submitted_at":"2024-02-06T02:17:08Z","title":"Lossy Cryptography from Code-Based Assumptions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.03633","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":"sha256:6f3c8ea885ecc0548de8a101da3638cfa5b3fd91b4b05a89297d9b3d6488043d","target":"record","created_at":"2026-07-05T07:41:55Z","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":"c1d76e45900d9e1a2ec8f1e03baef755c8044df37b36f7c609dedd03b0c1552d","cross_cats_sorted":["cs.CC","cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CR","submitted_at":"2024-02-06T02:17:08Z","title_canon_sha256":"2346ffcd37c6b36683aeec614a109f9ad54d501f197fb0af56cde09d5c2ca7a7"},"schema_version":"1.0","source":{"id":"2402.03633","kind":"arxiv","version":1}},"canonical_sha256":"d7b8937047b79582d0f7e4d1d10adb05912e1e9cb5bc37b436d52032a3fedbe4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7b8937047b79582d0f7e4d1d10adb05912e1e9cb5bc37b436d52032a3fedbe4","first_computed_at":"2026-07-05T07:41:55.780984Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:41:55.780984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xt9qa8x73Xs99mjIZh+UkEdcZAOMIydUJ59QSHvmm2Sk1k2pepj3qpN8Xj9sNH/Ng/Gq+SWM+L7A73hbCc40Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:41:55.781476Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.03633","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f3c8ea885ecc0548de8a101da3638cfa5b3fd91b4b05a89297d9b3d6488043d","sha256:74049071f4d347936435effa14175d77a79bd953c01f9bd162add21590466885"],"state_sha256":"7d2dee78cb7cb2ef66cb8a76bfd97c3f1a1c6a387bc0de37d89c8f96771f6f8f"}