{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ZEOY5XNT7K2AV3OCUSX4UNU4C4","short_pith_number":"pith:ZEOY5XNT","canonical_record":{"source":{"id":"1602.06097","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2016-02-19T10:07:00Z","cross_cats_sorted":[],"title_canon_sha256":"38100b7b368bc0ec1cafdbe8131929207b7746a38403ce7b8b6017d39471de9a","abstract_canon_sha256":"b6436abf930e9942af14a23af8da64e2e333eff6ce28fd77ba50cdf8eb93dc43"},"schema_version":"1.0"},"canonical_sha256":"c91d8eddb3fab40aedc2a4afca369c172046125fe88c6fec8ffa5eca41c6f15b","source":{"kind":"arxiv","id":"1602.06097","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06097","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06097v1","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06097","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"pith_short_12","alias_value":"ZEOY5XNT7K2A","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZEOY5XNT7K2AV3OC","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZEOY5XNT","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ZEOY5XNT7K2AV3OCUSX4UNU4C4","target":"record","payload":{"canonical_record":{"source":{"id":"1602.06097","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2016-02-19T10:07:00Z","cross_cats_sorted":[],"title_canon_sha256":"38100b7b368bc0ec1cafdbe8131929207b7746a38403ce7b8b6017d39471de9a","abstract_canon_sha256":"b6436abf930e9942af14a23af8da64e2e333eff6ce28fd77ba50cdf8eb93dc43"},"schema_version":"1.0"},"canonical_sha256":"c91d8eddb3fab40aedc2a4afca369c172046125fe88c6fec8ffa5eca41c6f15b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:21.613588Z","signature_b64":"NcsDltKMNiPskVLeFC9BvDOFYrk7CWzszIVndGvskLCBftaKZDhMFBsoeKJPD+1vBuX2dzbmCyTeTBQ7Y+fOBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c91d8eddb3fab40aedc2a4afca369c172046125fe88c6fec8ffa5eca41c6f15b","last_reissued_at":"2026-05-18T01:20:21.613014Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:21.613014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.06097","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":"2026-05-18T01:20:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8a4FUEART9y2DxqLgNUvGTCIQZZ1au3oent+sqdV47TaCYT+tCjuNG4Ac1V30xHk/1QTmGx/pU3ker5M+qqzDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:52:31.832956Z"},"content_sha256":"c41b858431355685474229ab90149bea08bae77f5210937c68b0c0f30243b927","schema_version":"1.0","event_id":"sha256:c41b858431355685474229ab90149bea08bae77f5210937c68b0c0f30243b927"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ZEOY5XNT7K2AV3OCUSX4UNU4C4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"GBLA -- Gr\\\"obner Basis Linear Algebra Package","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SC","authors_text":"Brice Boyer, Christian Eder, Fayssal Martani, Jean-Charles Faug\\`ere, Sylvian Lachartre","submitted_at":"2016-02-19T10:07:00Z","abstract_excerpt":"This is a system paper about a new GPLv2 open source C library GBLA implementing and improving the idea of Faug\\`ere and Lachartre (GB reduction). We further exploit underlying structures in matrices generated during Gr\\\"obner basis computations in algorithms like F4 or F5 taking advantage of block patterns by using a special data structure called multilines. Moreover, we discuss a new order of operations for the reduction process. In various different experimental results we show that GBLA performs better than GB reduction or Magma in sequential computations (up to 40% faster) and scales much"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06097","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":"2026-05-18T01:20:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XRG1e8v81+ssINaGHgFDPGMIq/71+QQ6y4s+7oyYKdlIg/T2suMccVAWL3ss/qLi8CgBUtXC4JQWTIVe25oOBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:52:31.833301Z"},"content_sha256":"dc7d6f078b47bf732a50e6d279bf7af7e05253e5771d5f53e1a45f37e531115b","schema_version":"1.0","event_id":"sha256:dc7d6f078b47bf732a50e6d279bf7af7e05253e5771d5f53e1a45f37e531115b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZEOY5XNT7K2AV3OCUSX4UNU4C4/bundle.json","state_url":"https://pith.science/pith/ZEOY5XNT7K2AV3OCUSX4UNU4C4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZEOY5XNT7K2AV3OCUSX4UNU4C4/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":"2026-06-03T05:52:31Z","links":{"resolver":"https://pith.science/pith/ZEOY5XNT7K2AV3OCUSX4UNU4C4","bundle":"https://pith.science/pith/ZEOY5XNT7K2AV3OCUSX4UNU4C4/bundle.json","state":"https://pith.science/pith/ZEOY5XNT7K2AV3OCUSX4UNU4C4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZEOY5XNT7K2AV3OCUSX4UNU4C4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZEOY5XNT7K2AV3OCUSX4UNU4C4","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":"b6436abf930e9942af14a23af8da64e2e333eff6ce28fd77ba50cdf8eb93dc43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2016-02-19T10:07:00Z","title_canon_sha256":"38100b7b368bc0ec1cafdbe8131929207b7746a38403ce7b8b6017d39471de9a"},"schema_version":"1.0","source":{"id":"1602.06097","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06097","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06097v1","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06097","created_at":"2026-05-18T01:20:21Z"},{"alias_kind":"pith_short_12","alias_value":"ZEOY5XNT7K2A","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZEOY5XNT7K2AV3OC","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZEOY5XNT","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:dc7d6f078b47bf732a50e6d279bf7af7e05253e5771d5f53e1a45f37e531115b","target":"graph","created_at":"2026-05-18T01:20:21Z","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":"This is a system paper about a new GPLv2 open source C library GBLA implementing and improving the idea of Faug\\`ere and Lachartre (GB reduction). We further exploit underlying structures in matrices generated during Gr\\\"obner basis computations in algorithms like F4 or F5 taking advantage of block patterns by using a special data structure called multilines. Moreover, we discuss a new order of operations for the reduction process. In various different experimental results we show that GBLA performs better than GB reduction or Magma in sequential computations (up to 40% faster) and scales much","authors_text":"Brice Boyer, Christian Eder, Fayssal Martani, Jean-Charles Faug\\`ere, Sylvian Lachartre","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2016-02-19T10:07:00Z","title":"GBLA -- Gr\\\"obner Basis Linear Algebra Package"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06097","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:c41b858431355685474229ab90149bea08bae77f5210937c68b0c0f30243b927","target":"record","created_at":"2026-05-18T01:20:21Z","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":"b6436abf930e9942af14a23af8da64e2e333eff6ce28fd77ba50cdf8eb93dc43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2016-02-19T10:07:00Z","title_canon_sha256":"38100b7b368bc0ec1cafdbe8131929207b7746a38403ce7b8b6017d39471de9a"},"schema_version":"1.0","source":{"id":"1602.06097","kind":"arxiv","version":1}},"canonical_sha256":"c91d8eddb3fab40aedc2a4afca369c172046125fe88c6fec8ffa5eca41c6f15b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c91d8eddb3fab40aedc2a4afca369c172046125fe88c6fec8ffa5eca41c6f15b","first_computed_at":"2026-05-18T01:20:21.613014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:21.613014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NcsDltKMNiPskVLeFC9BvDOFYrk7CWzszIVndGvskLCBftaKZDhMFBsoeKJPD+1vBuX2dzbmCyTeTBQ7Y+fOBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:21.613588Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.06097","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c41b858431355685474229ab90149bea08bae77f5210937c68b0c0f30243b927","sha256:dc7d6f078b47bf732a50e6d279bf7af7e05253e5771d5f53e1a45f37e531115b"],"state_sha256":"b6d8fb51741cebbf1adab45fc19b99db068b572faa9fa484a5545d73544f403d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b1TDPdpSPP3SxUedofnMgMwOC6vmZHQsbYgZLFyv0qN0yiWUbAL/istt6NM1NN9rCZasiOZTSsizF7VgjFZYBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T05:52:31.835309Z","bundle_sha256":"1fbfa558fc38c1498554cf7c976579eedc788d7450c92977664d820ce7d8df39"}}