{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZRQWKNW7HJTDT2C5XLNH2RJSXJ","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":"fbd43a2873be0af53af2bf139b66fc0f3dc0c2bcaa68d789054944331cf1d943","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2018-10-16T12:54:53Z","title_canon_sha256":"6213f8072d4756691bf9ff81500688220dba9156f1c874154f917fde4006b8ed"},"schema_version":"1.0","source":{"id":"1810.07554","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.07554","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"arxiv_version","alias_value":"1810.07554v2","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.07554","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"pith_short_12","alias_value":"ZRQWKNW7HJTD","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZRQWKNW7HJTDT2C5","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZRQWKNW7","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:1e9d1c667a125fda7c344b782c261bd86434e06f5d31e2b5216175cc927df3a6","target":"graph","created_at":"2026-05-17T23:47:44Z","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"},"paper":{"abstract_excerpt":"We present here a new family of trapdoor one-way Preimage Sampleable Functions (PSF) based on codes, the Wave-PSF family. The trapdoor function is one-way under two computational assumptions: the hardness of generic decoding for high weights and the indistinguishability of generalized $(U,U+V)$-codes. Our proof follows the GPV strategy [GPV08]. By including rejection sampling, we ensure the proper distribution for the trapdoor inverse output. The domain sampling property of our family is ensured by using and proving a variant of the left-over hash lemma. We instantiate the new Wave-PSF family ","authors_text":"Jean-Pierre Tillich, Nicolas Sendrier, Thomas Debris-Alazard","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2018-10-16T12:54:53Z","title":"Wave: A New Family of Trapdoor One-Way Preimage Sampleable Functions Based on Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.07554","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:c64e3feb03e53bcebe1b86cffa26ebe9b204dc3e12a30d9d3e567e7a521f66dd","target":"record","created_at":"2026-05-17T23:47:44Z","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":"fbd43a2873be0af53af2bf139b66fc0f3dc0c2bcaa68d789054944331cf1d943","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2018-10-16T12:54:53Z","title_canon_sha256":"6213f8072d4756691bf9ff81500688220dba9156f1c874154f917fde4006b8ed"},"schema_version":"1.0","source":{"id":"1810.07554","kind":"arxiv","version":2}},"canonical_sha256":"cc616536df3a6639e85dbada7d4532ba58e857c1144408b3ca0544e8359803fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc616536df3a6639e85dbada7d4532ba58e857c1144408b3ca0544e8359803fa","first_computed_at":"2026-05-17T23:47:44.112345Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:44.112345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C6VV1/WZ+E766AsYrBSEGiTP9WvGD3xBYEu1VqFxs2cVXKcsktvLgdUfkPTbhgxOT/x/mKyV2ZCnOQ/8dr/MCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:44.113026Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.07554","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c64e3feb03e53bcebe1b86cffa26ebe9b204dc3e12a30d9d3e567e7a521f66dd","sha256:1e9d1c667a125fda7c344b782c261bd86434e06f5d31e2b5216175cc927df3a6"],"state_sha256":"82a8be5a09ae92ff14e316b7b387d19ea124d6d37b3732071fefcfc85a5f9255"}