{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:EFRADINULYHGJIFQ6WW4FRPX4O","short_pith_number":"pith:EFRADINU","canonical_record":{"source":{"id":"1210.6502","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2012-10-24T12:00:44Z","cross_cats_sorted":[],"title_canon_sha256":"8494e062f9c66663de021ed8618f3e4fb168e0afe0409f0fa5637a839d13a384","abstract_canon_sha256":"8e90c6391961eb2e0937c1e6119ce2d436db241c29f85c4674a6079ed1ead189"},"schema_version":"1.0"},"canonical_sha256":"216201a1b45e0e64a0b0f5adc2c5f7e38fe1c16c1d91432929d8eba8c8e2272d","source":{"kind":"arxiv","id":"1210.6502","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.6502","created_at":"2026-05-18T03:42:24Z"},{"alias_kind":"arxiv_version","alias_value":"1210.6502v1","created_at":"2026-05-18T03:42:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.6502","created_at":"2026-05-18T03:42:24Z"},{"alias_kind":"pith_short_12","alias_value":"EFRADINULYHG","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EFRADINULYHGJIFQ","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EFRADINU","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:EFRADINULYHGJIFQ6WW4FRPX4O","target":"record","payload":{"canonical_record":{"source":{"id":"1210.6502","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2012-10-24T12:00:44Z","cross_cats_sorted":[],"title_canon_sha256":"8494e062f9c66663de021ed8618f3e4fb168e0afe0409f0fa5637a839d13a384","abstract_canon_sha256":"8e90c6391961eb2e0937c1e6119ce2d436db241c29f85c4674a6079ed1ead189"},"schema_version":"1.0"},"canonical_sha256":"216201a1b45e0e64a0b0f5adc2c5f7e38fe1c16c1d91432929d8eba8c8e2272d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:24.595454Z","signature_b64":"QqmgtjPlbzBdKzT88Ukl7/cPh5BwiC4+lfpXTNLxdF32RKg32HnFWilemeIOf7zBWPZ1GXG8PixUSeb2vi18Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"216201a1b45e0e64a0b0f5adc2c5f7e38fe1c16c1d91432929d8eba8c8e2272d","last_reissued_at":"2026-05-18T03:42:24.594520Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:24.594520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.6502","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":"2026-05-18T03:42:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iuiN6+/+IizLLn86AS7VGejsoEpGYnCcmaEAA+1gpqrgDmFgKTFHH9x5W8H/8chStmzjQLgHyUVp8hvgIcKFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T19:46:59.734640Z"},"content_sha256":"cac6a4afb4027a8543663c72e2af32abff8af799b08aab674d025d401196d913","schema_version":"1.0","event_id":"sha256:cac6a4afb4027a8543663c72e2af32abff8af799b08aab674d025d401196d913"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:EFRADINULYHGJIFQ6WW4FRPX4O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Block Korkin-Zolotarev algorithm generalization and their practical implementation (Russian)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DM","authors_text":"Vasiliy Usatyuk","submitted_at":"2012-10-24T12:00:44Z","abstract_excerpt":"We propose a practical algorithm for block Korkin-Zolotarev reduction, a concept introduced by Schnorr, using CPU arbitrary length Householder QR-decomposition for orthogonalization and double precision OpenCL GPU Finke-Post shortest vector enumeration. Empirical tests was used on random lattices in the sense of Goldstein and Mayer."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6502","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":"2026-05-18T03:42:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cVwIHwZeD3AJcYDiEYOgvfs5VKKEmfJa7pp4/XBakMb/lu9A4dT1XXv/fU2pFzWXJZG4OeINz8KSwtKL+rToBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T19:46:59.734989Z"},"content_sha256":"f760b398a40799ea1d11c4777c49461b93f835fcd91d0800718de5092c63e091","schema_version":"1.0","event_id":"sha256:f760b398a40799ea1d11c4777c49461b93f835fcd91d0800718de5092c63e091"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EFRADINULYHGJIFQ6WW4FRPX4O/bundle.json","state_url":"https://pith.science/pith/EFRADINULYHGJIFQ6WW4FRPX4O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EFRADINULYHGJIFQ6WW4FRPX4O/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":"2026-06-24T19:46:59Z","links":{"resolver":"https://pith.science/pith/EFRADINULYHGJIFQ6WW4FRPX4O","bundle":"https://pith.science/pith/EFRADINULYHGJIFQ6WW4FRPX4O/bundle.json","state":"https://pith.science/pith/EFRADINULYHGJIFQ6WW4FRPX4O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EFRADINULYHGJIFQ6WW4FRPX4O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EFRADINULYHGJIFQ6WW4FRPX4O","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":"8e90c6391961eb2e0937c1e6119ce2d436db241c29f85c4674a6079ed1ead189","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2012-10-24T12:00:44Z","title_canon_sha256":"8494e062f9c66663de021ed8618f3e4fb168e0afe0409f0fa5637a839d13a384"},"schema_version":"1.0","source":{"id":"1210.6502","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.6502","created_at":"2026-05-18T03:42:24Z"},{"alias_kind":"arxiv_version","alias_value":"1210.6502v1","created_at":"2026-05-18T03:42:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.6502","created_at":"2026-05-18T03:42:24Z"},{"alias_kind":"pith_short_12","alias_value":"EFRADINULYHG","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EFRADINULYHGJIFQ","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EFRADINU","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:f760b398a40799ea1d11c4777c49461b93f835fcd91d0800718de5092c63e091","target":"graph","created_at":"2026-05-18T03:42:24Z","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 practical algorithm for block Korkin-Zolotarev reduction, a concept introduced by Schnorr, using CPU arbitrary length Householder QR-decomposition for orthogonalization and double precision OpenCL GPU Finke-Post shortest vector enumeration. Empirical tests was used on random lattices in the sense of Goldstein and Mayer.","authors_text":"Vasiliy Usatyuk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2012-10-24T12:00:44Z","title":"Block Korkin-Zolotarev algorithm generalization and their practical implementation (Russian)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6502","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:cac6a4afb4027a8543663c72e2af32abff8af799b08aab674d025d401196d913","target":"record","created_at":"2026-05-18T03:42:24Z","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":"8e90c6391961eb2e0937c1e6119ce2d436db241c29f85c4674a6079ed1ead189","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2012-10-24T12:00:44Z","title_canon_sha256":"8494e062f9c66663de021ed8618f3e4fb168e0afe0409f0fa5637a839d13a384"},"schema_version":"1.0","source":{"id":"1210.6502","kind":"arxiv","version":1}},"canonical_sha256":"216201a1b45e0e64a0b0f5adc2c5f7e38fe1c16c1d91432929d8eba8c8e2272d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"216201a1b45e0e64a0b0f5adc2c5f7e38fe1c16c1d91432929d8eba8c8e2272d","first_computed_at":"2026-05-18T03:42:24.594520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:24.594520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QqmgtjPlbzBdKzT88Ukl7/cPh5BwiC4+lfpXTNLxdF32RKg32HnFWilemeIOf7zBWPZ1GXG8PixUSeb2vi18Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:24.595454Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.6502","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cac6a4afb4027a8543663c72e2af32abff8af799b08aab674d025d401196d913","sha256:f760b398a40799ea1d11c4777c49461b93f835fcd91d0800718de5092c63e091"],"state_sha256":"e07b035de17867c22e42929767aa9fa7b9541533addabcc9d4ed721ff40f34ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kxfunkk0NnDmdNFgknjJlhDhyzaAAMuvgC2ELCXZNeYqyJ+8MBzSEJNNTc6ZR0+ivJ2fV+a6vSM7kBzsYvEdAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T19:46:59.736916Z","bundle_sha256":"cb46e9985e6c204643cdda38f446c0304e84c77c84355f8a0d7c4c962cccc7c8"}}