{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2UXGYX4JMPBCPS3SMHGHUQ5ZIQ","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":"c4307bfdea889e53598205244209f35d4742db7b29a325b3062174731e5e7e06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2018-04-26T19:05:23Z","title_canon_sha256":"4c19b2dc1a5c7a1ef86cfb755ae4576b0ef1242da8e9b20599c05b3001fe5075"},"schema_version":"1.0","source":{"id":"1804.10246","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10246","created_at":"2026-05-18T00:12:31Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10246v2","created_at":"2026-05-18T00:12:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10246","created_at":"2026-05-18T00:12:31Z"},{"alias_kind":"pith_short_12","alias_value":"2UXGYX4JMPBC","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2UXGYX4JMPBCPS3S","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2UXGYX4J","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:dd73932ebbd58ac43a058c467dfa1957666a24d4ecac954293547f46c0bc1c37","target":"graph","created_at":"2026-05-18T00:12:31Z","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":"In this paper, first, we utilize the Lowner-John ellipsoid of a convex set to hide the lattice data information. We also describe the algorithm of information recovery in polynomial time by employing the Todd-Khachyian algorithm. The importance of lattice data is generally due to their applications in the homomorphic encryption schemes. For this reason we also outline the general scheme of a homomorphic encryption provided by Gentry.","authors_text":"Hossein Mohades, Mohamad Kadkhoda, Mohamad Mahdi Mohades","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2018-04-26T19:05:23Z","title":"Application of Lowner-John Ellipsoid in the Steganography of Lattice Vectors and a Review of The Gentry's FHE"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10246","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:eb0bbb13b914e321e58ebc3446bb280158710b100e35849e022bd99148b5b757","target":"record","created_at":"2026-05-18T00:12:31Z","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":"c4307bfdea889e53598205244209f35d4742db7b29a325b3062174731e5e7e06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2018-04-26T19:05:23Z","title_canon_sha256":"4c19b2dc1a5c7a1ef86cfb755ae4576b0ef1242da8e9b20599c05b3001fe5075"},"schema_version":"1.0","source":{"id":"1804.10246","kind":"arxiv","version":2}},"canonical_sha256":"d52e6c5f8963c227cb7261cc7a43b9443630126cc8f606c118b616c914ebe819","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d52e6c5f8963c227cb7261cc7a43b9443630126cc8f606c118b616c914ebe819","first_computed_at":"2026-05-18T00:12:31.783803Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:31.783803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rFuR57NROgoR41SKuwAraSGfYwIf1ULs3kDCmYKSpgKaU+ekhZkMGivhC0wAE1PGHwDbNWEi4whVXsxNtNoQCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:31.784476Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.10246","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb0bbb13b914e321e58ebc3446bb280158710b100e35849e022bd99148b5b757","sha256:dd73932ebbd58ac43a058c467dfa1957666a24d4ecac954293547f46c0bc1c37"],"state_sha256":"546c3eae9d3c7a53e977fcf395418c1a42dc8b5369dc89e992239dc64a7ee873"}