{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:XT2VL3IC5KOHYCXF7G3RGRVUAY","short_pith_number":"pith:XT2VL3IC","canonical_record":{"source":{"id":"1004.3719","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2010-04-21T14:52:36Z","cross_cats_sorted":["cs.MS","cs.SC"],"title_canon_sha256":"de65f5011db782b712610b34647951b56aae326d9b1cc1e0076b813778fba8ca","abstract_canon_sha256":"8f6ca211bbdc65fb50cb15f7b406e31ed95503c08bf99d18f8a2abbafad06dbc"},"schema_version":"1.0"},"canonical_sha256":"bcf555ed02ea9c7c0ae5f9b71346b4062bb412a88e9cbecbd254bba8c5cd7473","source":{"kind":"arxiv","id":"1004.3719","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3719","created_at":"2026-05-18T04:41:15Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3719v1","created_at":"2026-05-18T04:41:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3719","created_at":"2026-05-18T04:41:15Z"},{"alias_kind":"pith_short_12","alias_value":"XT2VL3IC5KOH","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XT2VL3IC5KOHYCXF","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XT2VL3IC","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:XT2VL3IC5KOHYCXF7G3RGRVUAY","target":"record","payload":{"canonical_record":{"source":{"id":"1004.3719","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2010-04-21T14:52:36Z","cross_cats_sorted":["cs.MS","cs.SC"],"title_canon_sha256":"de65f5011db782b712610b34647951b56aae326d9b1cc1e0076b813778fba8ca","abstract_canon_sha256":"8f6ca211bbdc65fb50cb15f7b406e31ed95503c08bf99d18f8a2abbafad06dbc"},"schema_version":"1.0"},"canonical_sha256":"bcf555ed02ea9c7c0ae5f9b71346b4062bb412a88e9cbecbd254bba8c5cd7473","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:15.142661Z","signature_b64":"WDKwbGBvooiVByRq8J9iRzNjYAIRKRZgs94DLTDG1Vp/UNdsF1oYEYzsQNBONXjo8pgzlJNDZyEeEm/uizMXBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bcf555ed02ea9c7c0ae5f9b71346b4062bb412a88e9cbecbd254bba8c5cd7473","last_reissued_at":"2026-05-18T04:41:15.141997Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:15.141997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.3719","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":"2026-05-18T04:41:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gDl0IAlEdM6GE2aYY74CNlmEy4QdCWbdjEy5NXX7KnBO3vCMIHyQ9UmfvqGNEHKZZVZmz09M6R5ylLVhScoVCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:27:20.235808Z"},"content_sha256":"69c100862645f069e233c9512be14a932191f2106ab1051b07c1c09ce7977f89","schema_version":"1.0","event_id":"sha256:69c100862645f069e233c9512be14a932191f2106ab1051b07c1c09ce7977f89"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:XT2VL3IC5KOHYCXF7G3RGRVUAY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Sparse Matrix-Vector Multiplication on GPU's and Multicore Architectures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.MS","cs.SC"],"primary_cat":"cs.DC","authors_text":"Brice Boyer (LJK), Jean-Guillaume Dumas (LJK), Pascal Giorgi (LIRMM)","submitted_at":"2010-04-21T14:52:36Z","abstract_excerpt":"We propose different implementations of the sparse matrix--dense vector multiplication (\\spmv{}) for finite fields and rings $\\Zb/m\\Zb$. We take advantage of graphic card processors (GPU) and multi-core architectures. Our aim is to improve the speed of \\spmv{} in the \\linbox library, and henceforth the speed of its black box algorithms. Besides, we use this and a new parallelization of the sigma-basis algorithm in a parallel block Wiedemann rank implementation over finite fields."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3719","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":"2026-05-18T04:41:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Es0V+tsC4yeNfgYZOqTy2BHDNp5WvVqEGwo/mGJsdN4t0SKu9HXAdBxJ+QtN6bOSokUxtSJnk9QLzahzyxL0AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:27:20.236181Z"},"content_sha256":"e35a8583579c4a9021ea511fc5844e289f460ac1dd6632939fe7c7f650a2869e","schema_version":"1.0","event_id":"sha256:e35a8583579c4a9021ea511fc5844e289f460ac1dd6632939fe7c7f650a2869e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XT2VL3IC5KOHYCXF7G3RGRVUAY/bundle.json","state_url":"https://pith.science/pith/XT2VL3IC5KOHYCXF7G3RGRVUAY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XT2VL3IC5KOHYCXF7G3RGRVUAY/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":"2026-06-03T04:27:20Z","links":{"resolver":"https://pith.science/pith/XT2VL3IC5KOHYCXF7G3RGRVUAY","bundle":"https://pith.science/pith/XT2VL3IC5KOHYCXF7G3RGRVUAY/bundle.json","state":"https://pith.science/pith/XT2VL3IC5KOHYCXF7G3RGRVUAY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XT2VL3IC5KOHYCXF7G3RGRVUAY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XT2VL3IC5KOHYCXF7G3RGRVUAY","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":"8f6ca211bbdc65fb50cb15f7b406e31ed95503c08bf99d18f8a2abbafad06dbc","cross_cats_sorted":["cs.MS","cs.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2010-04-21T14:52:36Z","title_canon_sha256":"de65f5011db782b712610b34647951b56aae326d9b1cc1e0076b813778fba8ca"},"schema_version":"1.0","source":{"id":"1004.3719","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3719","created_at":"2026-05-18T04:41:15Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3719v1","created_at":"2026-05-18T04:41:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3719","created_at":"2026-05-18T04:41:15Z"},{"alias_kind":"pith_short_12","alias_value":"XT2VL3IC5KOH","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XT2VL3IC5KOHYCXF","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XT2VL3IC","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:e35a8583579c4a9021ea511fc5844e289f460ac1dd6632939fe7c7f650a2869e","target":"graph","created_at":"2026-05-18T04:41:15Z","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 different implementations of the sparse matrix--dense vector multiplication (\\spmv{}) for finite fields and rings $\\Zb/m\\Zb$. We take advantage of graphic card processors (GPU) and multi-core architectures. Our aim is to improve the speed of \\spmv{} in the \\linbox library, and henceforth the speed of its black box algorithms. Besides, we use this and a new parallelization of the sigma-basis algorithm in a parallel block Wiedemann rank implementation over finite fields.","authors_text":"Brice Boyer (LJK), Jean-Guillaume Dumas (LJK), Pascal Giorgi (LIRMM)","cross_cats":["cs.MS","cs.SC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2010-04-21T14:52:36Z","title":"Exact Sparse Matrix-Vector Multiplication on GPU's and Multicore Architectures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3719","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":"sha256:69c100862645f069e233c9512be14a932191f2106ab1051b07c1c09ce7977f89","target":"record","created_at":"2026-05-18T04:41:15Z","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":"8f6ca211bbdc65fb50cb15f7b406e31ed95503c08bf99d18f8a2abbafad06dbc","cross_cats_sorted":["cs.MS","cs.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2010-04-21T14:52:36Z","title_canon_sha256":"de65f5011db782b712610b34647951b56aae326d9b1cc1e0076b813778fba8ca"},"schema_version":"1.0","source":{"id":"1004.3719","kind":"arxiv","version":1}},"canonical_sha256":"bcf555ed02ea9c7c0ae5f9b71346b4062bb412a88e9cbecbd254bba8c5cd7473","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcf555ed02ea9c7c0ae5f9b71346b4062bb412a88e9cbecbd254bba8c5cd7473","first_computed_at":"2026-05-18T04:41:15.141997Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:15.141997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WDKwbGBvooiVByRq8J9iRzNjYAIRKRZgs94DLTDG1Vp/UNdsF1oYEYzsQNBONXjo8pgzlJNDZyEeEm/uizMXBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:15.142661Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.3719","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69c100862645f069e233c9512be14a932191f2106ab1051b07c1c09ce7977f89","sha256:e35a8583579c4a9021ea511fc5844e289f460ac1dd6632939fe7c7f650a2869e"],"state_sha256":"25af3132f2327ac9df550be2d8bb9ca885422210ccfbd2a2fb73da7a162f71ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NfiDdaD1/jvJCnjZFTPfgkP+VT8nEsNZlQQSsWTGoUxqhylk+e6l5WI2ssIC2m2PiVhdT500iIrqQL1tHNOhDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T04:27:20.238193Z","bundle_sha256":"5c60a3085b93a50f4e1313b9147238d32de64ddba1e65ec47e9682035ef52f26"}}