{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EZQTI7IB3QOR52B3K6D4WR3SIU","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":"b0bbe45897b249763dd79abb3c7d7ff722b7cd26b6ca3c90f0c4d6828d156257","cross_cats_sorted":["cs.CR","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-01-07T10:13:42Z","title_canon_sha256":"f158a9f01cfebf9b25330d5508fe4688410707d9720b32a540d7f634f996b734"},"schema_version":"1.0","source":{"id":"1401.1331","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.1331","created_at":"2026-05-18T03:03:08Z"},{"alias_kind":"arxiv_version","alias_value":"1401.1331v1","created_at":"2026-05-18T03:03:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.1331","created_at":"2026-05-18T03:03:08Z"},{"alias_kind":"pith_short_12","alias_value":"EZQTI7IB3QOR","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EZQTI7IB3QOR52B3","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EZQTI7IB","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:3da0138a52dd296ccdf3262415346636a3ee6275b487ffe61b81eaa2fe0619fa","target":"graph","created_at":"2026-05-18T03:03:08Z","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":"Motivated by a recently introduced HIMMO key distribution scheme, we consider a modification of the noisy polynomial interpolation problem of recovering an unknown polynomial $f(X) \\in Z[X]$ from approximate values of the residues of $f(t)$ modulo a prime $p$ at polynomially many points $t$ taken from a short interval.","authors_text":"Igor E. Shparlinski, Ludo Tolhuizen, Oscar Garcia-Morchon, Ronald Rietman","cross_cats":["cs.CR","cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-01-07T10:13:42Z","title":"Interpolation and Approximation of Polynomials in Finite Fields over a Short Interval from Noisy Values"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.1331","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:a8cbddccc2fc734b093d1b49e2a6d868bd2119a3e1063dfdd7a68d1e905b56da","target":"record","created_at":"2026-05-18T03:03:08Z","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":"b0bbe45897b249763dd79abb3c7d7ff722b7cd26b6ca3c90f0c4d6828d156257","cross_cats_sorted":["cs.CR","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-01-07T10:13:42Z","title_canon_sha256":"f158a9f01cfebf9b25330d5508fe4688410707d9720b32a540d7f634f996b734"},"schema_version":"1.0","source":{"id":"1401.1331","kind":"arxiv","version":1}},"canonical_sha256":"2661347d01dc1d1ee83b5787cb4772450d91c295edd66e74211964b498d64771","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2661347d01dc1d1ee83b5787cb4772450d91c295edd66e74211964b498d64771","first_computed_at":"2026-05-18T03:03:08.935954Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:08.935954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VyA+RVXQgd9EsCCOrG+nmHu1HNeKD8p9X4k6O2xYsXiuaYPIWih24+F3yN9qOYL/p7uI/zwkmeF03JbM5Kp/Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:08.936536Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.1331","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8cbddccc2fc734b093d1b49e2a6d868bd2119a3e1063dfdd7a68d1e905b56da","sha256:3da0138a52dd296ccdf3262415346636a3ee6275b487ffe61b81eaa2fe0619fa"],"state_sha256":"7f80414e05fb23a1d19bed642c5ed0111c40b764ac489d2008d482bb81dda9e6"}