{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EA4UCUI7JBUR66GI64UYR26U6E","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":"f2ca550a5110c30283e55c7fa67e3a30f4a22fff8ca35bf1df7ac6667a647b33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2026-07-30T23:43:20Z","title_canon_sha256":"70c3faac677a5babbdf9811d214223cbab25ecddd66b90a9138c19916d50aa18"},"schema_version":"1.0","source":{"id":"2607.28900","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.28900","created_at":"2026-08-03T01:17:27Z"},{"alias_kind":"arxiv_version","alias_value":"2607.28900v1","created_at":"2026-08-03T01:17:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.28900","created_at":"2026-08-03T01:17:27Z"},{"alias_kind":"pith_short_12","alias_value":"EA4UCUI7JBUR","created_at":"2026-08-03T01:17:27Z"},{"alias_kind":"pith_short_16","alias_value":"EA4UCUI7JBUR66GI","created_at":"2026-08-03T01:17:27Z"},{"alias_kind":"pith_short_8","alias_value":"EA4UCUI7","created_at":"2026-08-03T01:17:27Z"}],"graph_snapshots":[{"event_id":"sha256:f9377c4fdc84862464fffdc7f7ea2086a0e090c3b6e82163a881471b59925560","target":"graph","created_at":"2026-08-03T01:17:27Z","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/2607.28900/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The classification of the maximal subgroups of the Monster group has been completed recently, and explicit generators for each such subgroup (up to conjugacy) have been made available for the software mmgroup, with the exception of the maximal subgroup 59:29, see Dietrich et al. (Adv. Math., 2025; J Algebra, 2026). We provide explicit generators for this last maximal subgroup and comment on the extensive search that led to finding them. Our method is similar to, but significantly more involved than Bray et al.'s (London Math. Soc. J. Comput. Math., 2016) approach for constructing 47:23 in the ","authors_text":"Aluna Rizzoli, Anthony Pisani, Heiko Dietrich, Melissa Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2026-07-30T23:43:20Z","title":"Finding 59:29 in the Monster"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.28900","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":"sha256:58a2c1c3db07b2ca2671b4c8ba7e2a67552b927f36fa7a76cbf2cce3dbe38bc6","target":"record","created_at":"2026-08-03T01:17:27Z","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":"f2ca550a5110c30283e55c7fa67e3a30f4a22fff8ca35bf1df7ac6667a647b33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2026-07-30T23:43:20Z","title_canon_sha256":"70c3faac677a5babbdf9811d214223cbab25ecddd66b90a9138c19916d50aa18"},"schema_version":"1.0","source":{"id":"2607.28900","kind":"arxiv","version":1}},"canonical_sha256":"203941511f48691f78c8f72988ebd4f1347ba3fd3fa747db0a15f48f1a7260cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"203941511f48691f78c8f72988ebd4f1347ba3fd3fa747db0a15f48f1a7260cc","first_computed_at":"2026-08-03T01:17:27.706775Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-03T01:17:27.706775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IEiqOCLxRFAZgb4BLhmAn1WiDppgdbNe/7srTP2MPjEU6/FTPpUQPhtJIj0p60x96QZoHw3mWKPtM5mgBb7UCg==","signature_status":"signed_v1","signed_at":"2026-08-03T01:17:27.708240Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.28900","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58a2c1c3db07b2ca2671b4c8ba7e2a67552b927f36fa7a76cbf2cce3dbe38bc6","sha256:f9377c4fdc84862464fffdc7f7ea2086a0e090c3b6e82163a881471b59925560"],"state_sha256":"81068e8509b493106f236759cd458b28ea8c70abe39fca9db63061d3e915b5a1"}