{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3KUK6CFF75FN4KIZTWSWGKWIS7","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":"49735d2c8b65847d526d5e194ea92f33f280c91e18c4d75b0c78b9db6eca207b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-04-29T16:51:25Z","title_canon_sha256":"78c0402b72749d76a0960f6f7b128d80305afc73dc8e49c973b8f5584fa2dc31"},"schema_version":"1.0","source":{"id":"2404.18860","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.18860","created_at":"2026-07-05T08:13:21Z"},{"alias_kind":"arxiv_version","alias_value":"2404.18860v1","created_at":"2026-07-05T08:13:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.18860","created_at":"2026-07-05T08:13:21Z"},{"alias_kind":"pith_short_12","alias_value":"3KUK6CFF75FN","created_at":"2026-07-05T08:13:21Z"},{"alias_kind":"pith_short_16","alias_value":"3KUK6CFF75FN4KIZ","created_at":"2026-07-05T08:13:21Z"},{"alias_kind":"pith_short_8","alias_value":"3KUK6CFF","created_at":"2026-07-05T08:13:21Z"}],"graph_snapshots":[{"event_id":"sha256:6013b30ec7c24b9e2442e2cf0689330f459bb0d5a67fd63b80eba725e10588c7","target":"graph","created_at":"2026-07-05T08:13:21Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2404.18860/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a new constructive recognition algorithm for finite special linear groups in their natural representation. Given a group $G$ generated by a set of $d\\times d$ matrices over a finite field $\\mathbb{F}_q$, known to be isomorphic to the special linear group $\\mathrm{SL}(d,q)$, the algorithm computes a special generating set $S$ for $G$. These generators enable efficient computations with the input group, including solving the word problem. Implemented in the computer algebra system GAP, our algorithm outperforms existing state-of-the-art algorithms by a significant margin. A detailed","authors_text":"Alice Niemeyer, Cheryl Praeger, Daniel Rademacher, Max Horn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-04-29T16:51:25Z","title":"Constructive Recognition of Special Linear Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.18860","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:acc231c867b777a9788f8ddb6ef8d89ffe7257608a0f092bed43895a522addd6","target":"record","created_at":"2026-07-05T08:13:21Z","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":"49735d2c8b65847d526d5e194ea92f33f280c91e18c4d75b0c78b9db6eca207b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-04-29T16:51:25Z","title_canon_sha256":"78c0402b72749d76a0960f6f7b128d80305afc73dc8e49c973b8f5584fa2dc31"},"schema_version":"1.0","source":{"id":"2404.18860","kind":"arxiv","version":1}},"canonical_sha256":"daa8af08a5ff4ade29199da5632ac897c4079ae1ddfdc08dc4f61986a6fa10d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"daa8af08a5ff4ade29199da5632ac897c4079ae1ddfdc08dc4f61986a6fa10d6","first_computed_at":"2026-07-05T08:13:21.706806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:13:21.706806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KMPfEhUGqQhdXptmIZ2aMd8atBdikZYoFtJfXsBFvjDJ5dlHduiKZSptlNva0q/JIW/grMpY5yH4KR0cSV/kAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:13:21.707327Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.18860","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:acc231c867b777a9788f8ddb6ef8d89ffe7257608a0f092bed43895a522addd6","sha256:6013b30ec7c24b9e2442e2cf0689330f459bb0d5a67fd63b80eba725e10588c7"],"state_sha256":"6c0d8460693dcab55fa0e0c2dbd1aa0771d3859e2b860cbd55f547ff2100daa9"}