{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:GWXZCWFONYZQ3KD4IFX72ICJE6","short_pith_number":"pith:GWXZCWFO","canonical_record":{"source":{"id":"1902.05771","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2019-02-15T11:24:37Z","cross_cats_sorted":[],"title_canon_sha256":"c632916cbac3ade24c2b4796c784267fbb04f095ca34e161475ec6a3f414f19f","abstract_canon_sha256":"07494646d98ad42fad8e20c8524ac35d88a767c77d94f76ffd2cf5b2fc7f5336"},"schema_version":"1.0"},"canonical_sha256":"35af9158ae6e330da87c416ffd20492791b42fb46baa48b0c0071d5adcea58a2","source":{"kind":"arxiv","id":"1902.05771","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.05771","created_at":"2026-05-17T23:53:56Z"},{"alias_kind":"arxiv_version","alias_value":"1902.05771v1","created_at":"2026-05-17T23:53:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.05771","created_at":"2026-05-17T23:53:56Z"},{"alias_kind":"pith_short_12","alias_value":"GWXZCWFONYZQ","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"GWXZCWFONYZQ3KD4","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"GWXZCWFO","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:GWXZCWFONYZQ3KD4IFX72ICJE6","target":"record","payload":{"canonical_record":{"source":{"id":"1902.05771","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2019-02-15T11:24:37Z","cross_cats_sorted":[],"title_canon_sha256":"c632916cbac3ade24c2b4796c784267fbb04f095ca34e161475ec6a3f414f19f","abstract_canon_sha256":"07494646d98ad42fad8e20c8524ac35d88a767c77d94f76ffd2cf5b2fc7f5336"},"schema_version":"1.0"},"canonical_sha256":"35af9158ae6e330da87c416ffd20492791b42fb46baa48b0c0071d5adcea58a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:56.190697Z","signature_b64":"ayCP0yRVLeqCJkDiVM8nRywMK6emEyHyemhhQDF9N+vpM0FtOGlEM1A0+HzCFgzBsC+3RUY0dcnde1jkqRLxBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35af9158ae6e330da87c416ffd20492791b42fb46baa48b0c0071d5adcea58a2","last_reissued_at":"2026-05-17T23:53:56.189990Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:56.189990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.05771","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8REEEsjG7doSZpy055GhoP4+b66L6s1dMW3R89mceSz7nWOrTIAz4+cqstmxvWrvq3I+WL9NJP0f5ifZFt64Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T17:07:52.367036Z"},"content_sha256":"cd4175ab4490e7614cd20ce50daa7d238c2d4ce4e34f28d56981e0245ec16d22","schema_version":"1.0","event_id":"sha256:cd4175ab4490e7614cd20ce50daa7d238c2d4ce4e34f28d56981e0245ec16d22"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:GWXZCWFONYZQ3KD4IFX72ICJE6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Somewhat Homomorphic Encryption Scheme based on Multivariate Polynomial Evaluation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CR","authors_text":"Srinivasan Krishnaswamy, Uddipana Dowerah","submitted_at":"2019-02-15T11:24:37Z","abstract_excerpt":"We propose a symmetric key homomorphic encryption scheme based on the evaluation of multivariate polynomials over a finite field. The proposed scheme is somewhat homomorphic with respect to addition and multiplication. Further, we define a generalization of the Learning with Errors problem called the Hidden Subspace Membership problem and show that the semantic security of the proposed scheme can be reduced to the hardness of this problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.05771","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-17T23:53:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ue1kVrGE0SOBRwipaxUUlkEsyZ5lhts1+4cBgdU/2uuYCmclkDrzq5mKTf/AJf6j9zwlrKFWfQOUh13xoqCHBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T17:07:52.367493Z"},"content_sha256":"9dd811b3ace9ff723039332607e634385f35691a49ede81c1816770e856cbbd3","schema_version":"1.0","event_id":"sha256:9dd811b3ace9ff723039332607e634385f35691a49ede81c1816770e856cbbd3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GWXZCWFONYZQ3KD4IFX72ICJE6/bundle.json","state_url":"https://pith.science/pith/GWXZCWFONYZQ3KD4IFX72ICJE6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GWXZCWFONYZQ3KD4IFX72ICJE6/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":"2026-08-07T17:07:52Z","links":{"resolver":"https://pith.science/pith/GWXZCWFONYZQ3KD4IFX72ICJE6","bundle":"https://pith.science/pith/GWXZCWFONYZQ3KD4IFX72ICJE6/bundle.json","state":"https://pith.science/pith/GWXZCWFONYZQ3KD4IFX72ICJE6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GWXZCWFONYZQ3KD4IFX72ICJE6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GWXZCWFONYZQ3KD4IFX72ICJE6","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":"07494646d98ad42fad8e20c8524ac35d88a767c77d94f76ffd2cf5b2fc7f5336","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2019-02-15T11:24:37Z","title_canon_sha256":"c632916cbac3ade24c2b4796c784267fbb04f095ca34e161475ec6a3f414f19f"},"schema_version":"1.0","source":{"id":"1902.05771","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.05771","created_at":"2026-05-17T23:53:56Z"},{"alias_kind":"arxiv_version","alias_value":"1902.05771v1","created_at":"2026-05-17T23:53:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.05771","created_at":"2026-05-17T23:53:56Z"},{"alias_kind":"pith_short_12","alias_value":"GWXZCWFONYZQ","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"GWXZCWFONYZQ3KD4","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"GWXZCWFO","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:9dd811b3ace9ff723039332607e634385f35691a49ede81c1816770e856cbbd3","target":"graph","created_at":"2026-05-17T23:53:56Z","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 propose a symmetric key homomorphic encryption scheme based on the evaluation of multivariate polynomials over a finite field. The proposed scheme is somewhat homomorphic with respect to addition and multiplication. Further, we define a generalization of the Learning with Errors problem called the Hidden Subspace Membership problem and show that the semantic security of the proposed scheme can be reduced to the hardness of this problem.","authors_text":"Srinivasan Krishnaswamy, Uddipana Dowerah","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2019-02-15T11:24:37Z","title":"A Somewhat Homomorphic Encryption Scheme based on Multivariate Polynomial Evaluation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.05771","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:cd4175ab4490e7614cd20ce50daa7d238c2d4ce4e34f28d56981e0245ec16d22","target":"record","created_at":"2026-05-17T23:53:56Z","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":"07494646d98ad42fad8e20c8524ac35d88a767c77d94f76ffd2cf5b2fc7f5336","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2019-02-15T11:24:37Z","title_canon_sha256":"c632916cbac3ade24c2b4796c784267fbb04f095ca34e161475ec6a3f414f19f"},"schema_version":"1.0","source":{"id":"1902.05771","kind":"arxiv","version":1}},"canonical_sha256":"35af9158ae6e330da87c416ffd20492791b42fb46baa48b0c0071d5adcea58a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35af9158ae6e330da87c416ffd20492791b42fb46baa48b0c0071d5adcea58a2","first_computed_at":"2026-05-17T23:53:56.189990Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:56.189990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ayCP0yRVLeqCJkDiVM8nRywMK6emEyHyemhhQDF9N+vpM0FtOGlEM1A0+HzCFgzBsC+3RUY0dcnde1jkqRLxBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:56.190697Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.05771","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd4175ab4490e7614cd20ce50daa7d238c2d4ce4e34f28d56981e0245ec16d22","sha256:9dd811b3ace9ff723039332607e634385f35691a49ede81c1816770e856cbbd3"],"state_sha256":"f31a923e0d483b177eebe7da96c3fa7eeb6a5086076a030327919ccd9716ccff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2g8f1wasT4aKtsbaCYFz/mtbJgMN9e7XpielmiJmgvRiXMkB0Ikc7KKIhw/JjfqnpxhGEdFFlCBYktak/n+sCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T17:07:52.372694Z","bundle_sha256":"6762876f097bc57543fa247fa4f0e423a498da024fb4cab0307d91379329a864"}}