{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WPNVYPPE6NFKNTFDJLL5VBJSJP","short_pith_number":"pith:WPNVYPPE","canonical_record":{"source":{"id":"1605.02532","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.MS","submitted_at":"2016-05-09T11:24:39Z","cross_cats_sorted":["cs.SC"],"title_canon_sha256":"a4c74b42c41d661dc810e2d275c45e480288836f01ac7fe9b143a99f9d831503","abstract_canon_sha256":"301b00ccedf52608db2171064418d76f826b7fc1253ada4de7b51e8e28007a11"},"schema_version":"1.0"},"canonical_sha256":"b3db5c3de4f34aa6cca34ad7da85324beb9780caea98a7d8c39899810c7d5be8","source":{"kind":"arxiv","id":"1605.02532","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.02532","created_at":"2026-05-18T00:38:13Z"},{"alias_kind":"arxiv_version","alias_value":"1605.02532v3","created_at":"2026-05-18T00:38:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02532","created_at":"2026-05-18T00:38:13Z"},{"alias_kind":"pith_short_12","alias_value":"WPNVYPPE6NFK","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WPNVYPPE6NFKNTFD","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WPNVYPPE","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WPNVYPPE6NFKNTFDJLL5VBJSJP","target":"record","payload":{"canonical_record":{"source":{"id":"1605.02532","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.MS","submitted_at":"2016-05-09T11:24:39Z","cross_cats_sorted":["cs.SC"],"title_canon_sha256":"a4c74b42c41d661dc810e2d275c45e480288836f01ac7fe9b143a99f9d831503","abstract_canon_sha256":"301b00ccedf52608db2171064418d76f826b7fc1253ada4de7b51e8e28007a11"},"schema_version":"1.0"},"canonical_sha256":"b3db5c3de4f34aa6cca34ad7da85324beb9780caea98a7d8c39899810c7d5be8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:13.943149Z","signature_b64":"vYXvipXUrzDT1tN2a7bHn8bUT50wlxhmhS3ByNcJFDrzFJRYoUb/HCCVoezmV/DGbunBWUEqYq54ZmAw8mCACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3db5c3de4f34aa6cca34ad7da85324beb9780caea98a7d8c39899810c7d5be8","last_reissued_at":"2026-05-18T00:38:13.942430Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:13.942430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.02532","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:38:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mWaA+QeS8i/ODHu4zLWho6DEusmHsdbCU16qN6He/q6A6uCR89+H7IeDcbAlmFQrci4QeAIbwGR8G5CNAUOUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:32:07.720285Z"},"content_sha256":"09654cded5fad41cd80ebf9381a07fb1d2328eddfa2ca9805b7f40da6244b8a3","schema_version":"1.0","event_id":"sha256:09654cded5fad41cd80ebf9381a07fb1d2328eddfa2ca9805b7f40da6244b8a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WPNVYPPE6NFKNTFDJLL5VBJSJP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"HLinear: Exact Dense Linear Algebra in Haskell","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SC"],"primary_cat":"cs.MS","authors_text":"Alexandru Ghitza, Martin Raum","submitted_at":"2016-05-09T11:24:39Z","abstract_excerpt":"We present an implementation in the functional programming language Haskell of the PLE decomposition of matrices over division rings. Our benchmarks indicate that it is competitive with the C-based implementation provided in Flint. Describing the guiding principles of our work, we introduce the reader to basic ideas from high-performance functional programming."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02532","kind":"arxiv","version":3},"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":"2026-05-18T00:38:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FSGiA8vidW/RqhywicUaegV/VSHcaJsVZvnhtA9O9gBz6XDWp2LgqUgBkIkOZXwNZX9QV385wH7p2lTqQP2kBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:32:07.720646Z"},"content_sha256":"7b454df65763168746ab0cebef34d7954e53ac2d29bd7504973778fdc2f62843","schema_version":"1.0","event_id":"sha256:7b454df65763168746ab0cebef34d7954e53ac2d29bd7504973778fdc2f62843"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WPNVYPPE6NFKNTFDJLL5VBJSJP/bundle.json","state_url":"https://pith.science/pith/WPNVYPPE6NFKNTFDJLL5VBJSJP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WPNVYPPE6NFKNTFDJLL5VBJSJP/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":"2026-06-03T16:32:07Z","links":{"resolver":"https://pith.science/pith/WPNVYPPE6NFKNTFDJLL5VBJSJP","bundle":"https://pith.science/pith/WPNVYPPE6NFKNTFDJLL5VBJSJP/bundle.json","state":"https://pith.science/pith/WPNVYPPE6NFKNTFDJLL5VBJSJP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WPNVYPPE6NFKNTFDJLL5VBJSJP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WPNVYPPE6NFKNTFDJLL5VBJSJP","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":"301b00ccedf52608db2171064418d76f826b7fc1253ada4de7b51e8e28007a11","cross_cats_sorted":["cs.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.MS","submitted_at":"2016-05-09T11:24:39Z","title_canon_sha256":"a4c74b42c41d661dc810e2d275c45e480288836f01ac7fe9b143a99f9d831503"},"schema_version":"1.0","source":{"id":"1605.02532","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.02532","created_at":"2026-05-18T00:38:13Z"},{"alias_kind":"arxiv_version","alias_value":"1605.02532v3","created_at":"2026-05-18T00:38:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02532","created_at":"2026-05-18T00:38:13Z"},{"alias_kind":"pith_short_12","alias_value":"WPNVYPPE6NFK","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WPNVYPPE6NFKNTFD","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WPNVYPPE","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:7b454df65763168746ab0cebef34d7954e53ac2d29bd7504973778fdc2f62843","target":"graph","created_at":"2026-05-18T00:38:13Z","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 present an implementation in the functional programming language Haskell of the PLE decomposition of matrices over division rings. Our benchmarks indicate that it is competitive with the C-based implementation provided in Flint. Describing the guiding principles of our work, we introduce the reader to basic ideas from high-performance functional programming.","authors_text":"Alexandru Ghitza, Martin Raum","cross_cats":["cs.SC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.MS","submitted_at":"2016-05-09T11:24:39Z","title":"HLinear: Exact Dense Linear Algebra in Haskell"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02532","kind":"arxiv","version":3},"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":"sha256:09654cded5fad41cd80ebf9381a07fb1d2328eddfa2ca9805b7f40da6244b8a3","target":"record","created_at":"2026-05-18T00:38:13Z","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":"301b00ccedf52608db2171064418d76f826b7fc1253ada4de7b51e8e28007a11","cross_cats_sorted":["cs.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.MS","submitted_at":"2016-05-09T11:24:39Z","title_canon_sha256":"a4c74b42c41d661dc810e2d275c45e480288836f01ac7fe9b143a99f9d831503"},"schema_version":"1.0","source":{"id":"1605.02532","kind":"arxiv","version":3}},"canonical_sha256":"b3db5c3de4f34aa6cca34ad7da85324beb9780caea98a7d8c39899810c7d5be8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3db5c3de4f34aa6cca34ad7da85324beb9780caea98a7d8c39899810c7d5be8","first_computed_at":"2026-05-18T00:38:13.942430Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:13.942430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vYXvipXUrzDT1tN2a7bHn8bUT50wlxhmhS3ByNcJFDrzFJRYoUb/HCCVoezmV/DGbunBWUEqYq54ZmAw8mCACg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:13.943149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.02532","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09654cded5fad41cd80ebf9381a07fb1d2328eddfa2ca9805b7f40da6244b8a3","sha256:7b454df65763168746ab0cebef34d7954e53ac2d29bd7504973778fdc2f62843"],"state_sha256":"7001b887fec9e5e9295e8c070776dc212878e8ae771c805565435fef3eeaff8c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xGP47xdS/fSZeZJcy2cTMktVIdrp/DWaVYt1xPrB3+IVdQSNdE5VKw/UwmS3o3uFn2C418IxpW1sML18Qc5tAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:32:07.722659Z","bundle_sha256":"e6c9256d059d2348a68324d6238fe0e1acb14b333ef25ae6f51c30a268b61abd"}}