{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:OVYQN3MOTUVKPV4RCUAT4AFZGD","short_pith_number":"pith:OVYQN3MO","schema_version":"1.0","canonical_sha256":"757106ed8e9d2aa7d79115013e00b930c1d13c16119777d5e22c1aa0272192e5","source":{"kind":"arxiv","id":"1404.1774","version":1},"attestation_state":"computed","paper":{"title":"A survey on signature-based Gr\\\"obner basis computations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SC"],"primary_cat":"math.AC","authors_text":"Christian Eder, Jean-Charles Faug\\`ere","submitted_at":"2014-04-07T13:03:01Z","abstract_excerpt":"This paper is a survey on the area of signature-based Gr\\\"obner basis algorithms that was initiated by Faug\\`ere's F5 algorithm in 2002. We explain the general ideas behind the usage of signatures. We show how to classify the various known variants by 3 different orderings. For this we give translations between different notations and show that besides notations many approaches are just the same. Moreover, we give a general description of how the idea of signatures is quite natural when performing the reduction process using linear algebra. This survey shall help to outline this field of activ"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1404.1774","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-04-07T13:03:01Z","cross_cats_sorted":["cs.SC"],"title_canon_sha256":"521ec99e85676f41ecb3757ca32453bdf85cd5f7d015ced5024b616361f58430","abstract_canon_sha256":"3bc9b4f7057a6bb93d57fadb8f46eebe1d3557aaafa1d2d05502225560f0617a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:40.200523Z","signature_b64":"7eCTogHsxZL1f+t+DZYwRxAd29k3xvLN5t88QCVwjWfnVg0/uMF5KNrwnOq6Hp0i0Y9hLhNiu68SjrPQdog7Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"757106ed8e9d2aa7d79115013e00b930c1d13c16119777d5e22c1aa0272192e5","last_reissued_at":"2026-05-18T02:54:40.200054Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:40.200054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A survey on signature-based Gr\\\"obner basis computations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SC"],"primary_cat":"math.AC","authors_text":"Christian Eder, Jean-Charles Faug\\`ere","submitted_at":"2014-04-07T13:03:01Z","abstract_excerpt":"This paper is a survey on the area of signature-based Gr\\\"obner basis algorithms that was initiated by Faug\\`ere's F5 algorithm in 2002. We explain the general ideas behind the usage of signatures. We show how to classify the various known variants by 3 different orderings. For this we give translations between different notations and show that besides notations many approaches are just the same. Moreover, we give a general description of how the idea of signatures is quite natural when performing the reduction process using linear algebra. This survey shall help to outline this field of activ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1774","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1404.1774","created_at":"2026-05-18T02:54:40.200128+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.1774v1","created_at":"2026-05-18T02:54:40.200128+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1774","created_at":"2026-05-18T02:54:40.200128+00:00"},{"alias_kind":"pith_short_12","alias_value":"OVYQN3MOTUVK","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"OVYQN3MOTUVKPV4R","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"OVYQN3MO","created_at":"2026-05-18T12:28:43.426989+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OVYQN3MOTUVKPV4RCUAT4AFZGD","json":"https://pith.science/pith/OVYQN3MOTUVKPV4RCUAT4AFZGD.json","graph_json":"https://pith.science/api/pith-number/OVYQN3MOTUVKPV4RCUAT4AFZGD/graph.json","events_json":"https://pith.science/api/pith-number/OVYQN3MOTUVKPV4RCUAT4AFZGD/events.json","paper":"https://pith.science/paper/OVYQN3MO"},"agent_actions":{"view_html":"https://pith.science/pith/OVYQN3MOTUVKPV4RCUAT4AFZGD","download_json":"https://pith.science/pith/OVYQN3MOTUVKPV4RCUAT4AFZGD.json","view_paper":"https://pith.science/paper/OVYQN3MO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.1774&json=true","fetch_graph":"https://pith.science/api/pith-number/OVYQN3MOTUVKPV4RCUAT4AFZGD/graph.json","fetch_events":"https://pith.science/api/pith-number/OVYQN3MOTUVKPV4RCUAT4AFZGD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OVYQN3MOTUVKPV4RCUAT4AFZGD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OVYQN3MOTUVKPV4RCUAT4AFZGD/action/storage_attestation","attest_author":"https://pith.science/pith/OVYQN3MOTUVKPV4RCUAT4AFZGD/action/author_attestation","sign_citation":"https://pith.science/pith/OVYQN3MOTUVKPV4RCUAT4AFZGD/action/citation_signature","submit_replication":"https://pith.science/pith/OVYQN3MOTUVKPV4RCUAT4AFZGD/action/replication_record"}},"created_at":"2026-05-18T02:54:40.200128+00:00","updated_at":"2026-05-18T02:54:40.200128+00:00"}