{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3MU5OVME2LTN6R2HWCULSJ55HL","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":"03ca2396a32436b5a3935ade5d095b4eb1d25cd2a4c3bad191244f340d63bca7","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-03-15T08:57:23Z","title_canon_sha256":"efa7b4fd9a60375477065cee3668bd8a33b6ec86d5e0510cb24b12de077c998e"},"schema_version":"1.0","source":{"id":"1203.3289","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.3289","created_at":"2026-05-18T04:00:02Z"},{"alias_kind":"arxiv_version","alias_value":"1203.3289v1","created_at":"2026-05-18T04:00:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3289","created_at":"2026-05-18T04:00:02Z"},{"alias_kind":"pith_short_12","alias_value":"3MU5OVME2LTN","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3MU5OVME2LTN6R2H","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3MU5OVME","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:ecd4f93487e62f399381feefcc19370456bdfafe10472ad8819efddfaacbcecc","target":"graph","created_at":"2026-05-18T04:00:02Z","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 classify all groups of order $p^5$ with non-trivial unramified Brauer groups. We show that if $p>3$, then there are precisely $\\gcd (p-1,4)+\\gcd (p-1,3)+1$ such groups.","authors_text":"Primoz Moravec","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-03-15T08:57:23Z","title":"Groups of order $p^5$ and their unramified Brauer groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3289","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:acd8afa199d112638e744c1aa2d9adfac6de426348d6e947a7f6c2de2a544905","target":"record","created_at":"2026-05-18T04:00:02Z","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":"03ca2396a32436b5a3935ade5d095b4eb1d25cd2a4c3bad191244f340d63bca7","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-03-15T08:57:23Z","title_canon_sha256":"efa7b4fd9a60375477065cee3668bd8a33b6ec86d5e0510cb24b12de077c998e"},"schema_version":"1.0","source":{"id":"1203.3289","kind":"arxiv","version":1}},"canonical_sha256":"db29d75584d2e6df4747b0a8b927bd3adebda5eacf809af187dd6105d7b473f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db29d75584d2e6df4747b0a8b927bd3adebda5eacf809af187dd6105d7b473f9","first_computed_at":"2026-05-18T04:00:02.280581Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:00:02.280581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oDVfY2k+NZL5Esq+64SVFl9q+6t0lAkvfoQlWEVDAuMAi8F7m3DfbQsfkwtBUsqInYJBj61lOugUQXNFkNakBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:00:02.281075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.3289","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:acd8afa199d112638e744c1aa2d9adfac6de426348d6e947a7f6c2de2a544905","sha256:ecd4f93487e62f399381feefcc19370456bdfafe10472ad8819efddfaacbcecc"],"state_sha256":"895b6907d92ed8542a51e0d9b805f1709ffa113719f26d9737f3e211a7eac8cb"}