{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:QI7A77TW2HJDP3E4DRSGCKMIO3","short_pith_number":"pith:QI7A77TW","canonical_record":{"source":{"id":"1404.7303","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-04-29T10:36:38Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"84fb81e3c68627d47631b58cf4eebbc3fb56b942c8177525f512f761d212d461","abstract_canon_sha256":"b7aed20ea0433042f247286ba8579f5b9bfa2415ae6cda29ce8d5cf4dd8730e7"},"schema_version":"1.0"},"canonical_sha256":"823e0ffe76d1d237ec9c1c6461298876c25f64e5f1440037197b797eb2a3476d","source":{"kind":"arxiv","id":"1404.7303","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.7303","created_at":"2026-05-18T02:52:56Z"},{"alias_kind":"arxiv_version","alias_value":"1404.7303v1","created_at":"2026-05-18T02:52:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7303","created_at":"2026-05-18T02:52:56Z"},{"alias_kind":"pith_short_12","alias_value":"QI7A77TW2HJD","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QI7A77TW2HJDP3E4","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QI7A77TW","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:QI7A77TW2HJDP3E4DRSGCKMIO3","target":"record","payload":{"canonical_record":{"source":{"id":"1404.7303","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-04-29T10:36:38Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"84fb81e3c68627d47631b58cf4eebbc3fb56b942c8177525f512f761d212d461","abstract_canon_sha256":"b7aed20ea0433042f247286ba8579f5b9bfa2415ae6cda29ce8d5cf4dd8730e7"},"schema_version":"1.0"},"canonical_sha256":"823e0ffe76d1d237ec9c1c6461298876c25f64e5f1440037197b797eb2a3476d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:56.922877Z","signature_b64":"a45knZc0VzIXuHEsY1dats/nsVpRsBnjQgOHQf+XSfZu+UtGlMKImNgvG88Mk1ibDPQgml9GMOy9gsQ22+wNDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"823e0ffe76d1d237ec9c1c6461298876c25f64e5f1440037197b797eb2a3476d","last_reissued_at":"2026-05-18T02:52:56.922095Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:56.922095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.7303","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":"2026-05-18T02:52:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sI5diF6QGOGzPPYsIoHdPQVnHAeQJGq+pR55uNjh6/Oy+UfIT6hhFTSdd+mnpE6Zb6WYyHteO7Fd4Z4ac3c8CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:58:34.410022Z"},"content_sha256":"ad4074fb4a4429dcceaaf2080e9ec4c5feb8c9d4351bf6b76aa04d06c7f2e3a5","schema_version":"1.0","event_id":"sha256:ad4074fb4a4429dcceaaf2080e9ec4c5feb8c9d4351bf6b76aa04d06c7f2e3a5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:QI7A77TW2HJDP3E4DRSGCKMIO3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New Examples of Mixed Beauville Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.GR","authors_text":"Ben Fairbairn, Emilio Pierro","submitted_at":"2014-04-29T10:36:38Z","abstract_excerpt":"We generalise a construction of mixed Beauville groups first given by Bauer, Catanese and Grunewald. We go on to give several examples of infinite families of characteristically simple groups that satisfy the hypotheses of our theorem and thus provide a wealth of new examples of mixed Beauville groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7303","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":"2026-05-18T02:52:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m2Q8UjsiAn3Gm7UP0QzPMUdN7wCMrmNYLNj2YJ6ancnM00fx+YdmHlxwX48r81/ljg3ysx+yj8z0FBkKl2sNDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:58:34.411026Z"},"content_sha256":"68f5a61e127ffcbf7d0ce8ab725754e7e189f0381d1657979861767735064f4c","schema_version":"1.0","event_id":"sha256:68f5a61e127ffcbf7d0ce8ab725754e7e189f0381d1657979861767735064f4c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QI7A77TW2HJDP3E4DRSGCKMIO3/bundle.json","state_url":"https://pith.science/pith/QI7A77TW2HJDP3E4DRSGCKMIO3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QI7A77TW2HJDP3E4DRSGCKMIO3/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":"2026-05-31T09:58:34Z","links":{"resolver":"https://pith.science/pith/QI7A77TW2HJDP3E4DRSGCKMIO3","bundle":"https://pith.science/pith/QI7A77TW2HJDP3E4DRSGCKMIO3/bundle.json","state":"https://pith.science/pith/QI7A77TW2HJDP3E4DRSGCKMIO3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QI7A77TW2HJDP3E4DRSGCKMIO3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QI7A77TW2HJDP3E4DRSGCKMIO3","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":"b7aed20ea0433042f247286ba8579f5b9bfa2415ae6cda29ce8d5cf4dd8730e7","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-04-29T10:36:38Z","title_canon_sha256":"84fb81e3c68627d47631b58cf4eebbc3fb56b942c8177525f512f761d212d461"},"schema_version":"1.0","source":{"id":"1404.7303","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.7303","created_at":"2026-05-18T02:52:56Z"},{"alias_kind":"arxiv_version","alias_value":"1404.7303v1","created_at":"2026-05-18T02:52:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7303","created_at":"2026-05-18T02:52:56Z"},{"alias_kind":"pith_short_12","alias_value":"QI7A77TW2HJD","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QI7A77TW2HJDP3E4","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QI7A77TW","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:68f5a61e127ffcbf7d0ce8ab725754e7e189f0381d1657979861767735064f4c","target":"graph","created_at":"2026-05-18T02:52:56Z","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 generalise a construction of mixed Beauville groups first given by Bauer, Catanese and Grunewald. We go on to give several examples of infinite families of characteristically simple groups that satisfy the hypotheses of our theorem and thus provide a wealth of new examples of mixed Beauville groups.","authors_text":"Ben Fairbairn, Emilio Pierro","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-04-29T10:36:38Z","title":"New Examples of Mixed Beauville Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7303","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:ad4074fb4a4429dcceaaf2080e9ec4c5feb8c9d4351bf6b76aa04d06c7f2e3a5","target":"record","created_at":"2026-05-18T02:52:56Z","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":"b7aed20ea0433042f247286ba8579f5b9bfa2415ae6cda29ce8d5cf4dd8730e7","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-04-29T10:36:38Z","title_canon_sha256":"84fb81e3c68627d47631b58cf4eebbc3fb56b942c8177525f512f761d212d461"},"schema_version":"1.0","source":{"id":"1404.7303","kind":"arxiv","version":1}},"canonical_sha256":"823e0ffe76d1d237ec9c1c6461298876c25f64e5f1440037197b797eb2a3476d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"823e0ffe76d1d237ec9c1c6461298876c25f64e5f1440037197b797eb2a3476d","first_computed_at":"2026-05-18T02:52:56.922095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:56.922095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a45knZc0VzIXuHEsY1dats/nsVpRsBnjQgOHQf+XSfZu+UtGlMKImNgvG88Mk1ibDPQgml9GMOy9gsQ22+wNDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:56.922877Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.7303","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad4074fb4a4429dcceaaf2080e9ec4c5feb8c9d4351bf6b76aa04d06c7f2e3a5","sha256:68f5a61e127ffcbf7d0ce8ab725754e7e189f0381d1657979861767735064f4c"],"state_sha256":"7fb7944aba661ec7fe4c86bb6c044676345722f93d4067196927a8c3f021ea40"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eFlBBYOjH5PdCwpqd/9Q3DvK2lq1QliAV7m4dfOZYTN4Myv7Rrx6Kq9Zf7BdX1Mjvxmpv7gTAWvaLnJjCFTcBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T09:58:34.414397Z","bundle_sha256":"3e623c6469efc8f87b6e81c6c4d6b07b77a0719183db9eb57b5aa9f93e777932"}}