{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2676ZONA6OVYULCPZOYQQIZQTQ","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":"d4b8063eb9591021c8d97395ccadd768c75eb9ad38f55b67ef7b262c3a789922","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-08-11T15:33:45Z","title_canon_sha256":"2a7c19cb289b00f319320b51ea27b025ff3fb020ffc02805214c58e6d8d502cb"},"schema_version":"1.0","source":{"id":"1508.02630","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02630","created_at":"2026-05-18T01:16:33Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02630v2","created_at":"2026-05-18T01:16:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02630","created_at":"2026-05-18T01:16:33Z"},{"alias_kind":"pith_short_12","alias_value":"2676ZONA6OVY","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2676ZONA6OVYULCP","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2676ZONA","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:7d6a597b5058ac317c8045d0cb0dbc370a6a10a30c28a122f16cf6db887f2e6c","target":"graph","created_at":"2026-05-18T01:16:33Z","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 generalize earlier work of Fuertes and Gonz\\'{a}lez-Diez as well as earlier work of Bauer, Catanese and Grunewald to Coxeter groups in general by classifying which of these are strongly real Beauville groups. As a consequence of this we determine which of these groups are Beauville groups. We also show that none of these groups are mixed Beaville groups as well as proving that no Coxeter group is a mixable Beauville group.","authors_text":"Ben Fairbairn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-08-11T15:33:45Z","title":"Coxeter groups as Beauville groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02630","kind":"arxiv","version":2},"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":"sha256:3e4ad1bdfe4674ea07eef0e06e203302f95822a2b2bf6d0c575e1f6fdf26cc24","target":"record","created_at":"2026-05-18T01:16:33Z","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":"d4b8063eb9591021c8d97395ccadd768c75eb9ad38f55b67ef7b262c3a789922","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-08-11T15:33:45Z","title_canon_sha256":"2a7c19cb289b00f319320b51ea27b025ff3fb020ffc02805214c58e6d8d502cb"},"schema_version":"1.0","source":{"id":"1508.02630","kind":"arxiv","version":2}},"canonical_sha256":"d7bfecb9a0f3ab8a2c4fcbb10823309c26cd963f15114e93d074ca2a94d6325b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7bfecb9a0f3ab8a2c4fcbb10823309c26cd963f15114e93d074ca2a94d6325b","first_computed_at":"2026-05-18T01:16:33.311047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:33.311047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tzFSwTQfSn8AOSOADnXD+CQmVTCmWwMYMrMlHARR772x16l3lhpJ2SAVkgGdt+R0FtvgPttu5BCHDwzedCjUAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:33.311645Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.02630","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e4ad1bdfe4674ea07eef0e06e203302f95822a2b2bf6d0c575e1f6fdf26cc24","sha256:7d6a597b5058ac317c8045d0cb0dbc370a6a10a30c28a122f16cf6db887f2e6c"],"state_sha256":"e3cf9306cc03a86e59af2e930f0b1963e38f527ddfcab86f6af27232e59045a7"}