{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:4MT33T6WCRE32ETF7ETQQIJGVK","short_pith_number":"pith:4MT33T6W","schema_version":"1.0","canonical_sha256":"e327bdcfd61449bd1265f927082126aa9b0865f0148f8e35cb52550add877df7","source":{"kind":"arxiv","id":"1405.3872","version":2},"attestation_state":"computed","paper":{"title":"Series of $p$-groups with Beauville structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.GR","authors_text":"Alina Vdovina, Jakob Stix","submitted_at":"2014-05-15T14:56:00Z","abstract_excerpt":"For every $p\\geq 2$ we show that each finite $p$-group with an unmixed Beauville structure is part of a surjective infinite projective system of finite $p$-groups with compatible unmixed Beauville structures. This leads to the new notion of an unmixed topological Beauville structure on pro-finite groups. We further construct for $p \\geq 5$ a new explicit infinite series of non-abelian $p$-groups that allow unmixed Beauville structures."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1405.3872","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-05-15T14:56:00Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"76a9c800af170e41fc143345ad3c1f6d3a8b9fff9bfb7fd5910904e949e12878","abstract_canon_sha256":"2f02c9c062ef7975e13263db851564c72ef5dd9c2e549a9c3c6b877a918ad3f0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:38.865413Z","signature_b64":"vlzcgQn8CXw2shHDblx8WbM6AhCZbtaisnJzL8gABbM5aQggD+Ue9DLNC0ERnpx1nJcmkCgLxZhhosuPc3SSDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e327bdcfd61449bd1265f927082126aa9b0865f0148f8e35cb52550add877df7","last_reissued_at":"2026-05-18T01:36:38.864691Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:38.864691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Series of $p$-groups with Beauville structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.GR","authors_text":"Alina Vdovina, Jakob Stix","submitted_at":"2014-05-15T14:56:00Z","abstract_excerpt":"For every $p\\geq 2$ we show that each finite $p$-group with an unmixed Beauville structure is part of a surjective infinite projective system of finite $p$-groups with compatible unmixed Beauville structures. This leads to the new notion of an unmixed topological Beauville structure on pro-finite groups. We further construct for $p \\geq 5$ a new explicit infinite series of non-abelian $p$-groups that allow unmixed Beauville structures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3872","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1405.3872","created_at":"2026-05-18T01:36:38.864792+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.3872v2","created_at":"2026-05-18T01:36:38.864792+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3872","created_at":"2026-05-18T01:36:38.864792+00:00"},{"alias_kind":"pith_short_12","alias_value":"4MT33T6WCRE3","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"4MT33T6WCRE32ETF","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"4MT33T6W","created_at":"2026-05-18T12:28:14.216126+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4MT33T6WCRE32ETF7ETQQIJGVK","json":"https://pith.science/pith/4MT33T6WCRE32ETF7ETQQIJGVK.json","graph_json":"https://pith.science/api/pith-number/4MT33T6WCRE32ETF7ETQQIJGVK/graph.json","events_json":"https://pith.science/api/pith-number/4MT33T6WCRE32ETF7ETQQIJGVK/events.json","paper":"https://pith.science/paper/4MT33T6W"},"agent_actions":{"view_html":"https://pith.science/pith/4MT33T6WCRE32ETF7ETQQIJGVK","download_json":"https://pith.science/pith/4MT33T6WCRE32ETF7ETQQIJGVK.json","view_paper":"https://pith.science/paper/4MT33T6W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.3872&json=true","fetch_graph":"https://pith.science/api/pith-number/4MT33T6WCRE32ETF7ETQQIJGVK/graph.json","fetch_events":"https://pith.science/api/pith-number/4MT33T6WCRE32ETF7ETQQIJGVK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4MT33T6WCRE32ETF7ETQQIJGVK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4MT33T6WCRE32ETF7ETQQIJGVK/action/storage_attestation","attest_author":"https://pith.science/pith/4MT33T6WCRE32ETF7ETQQIJGVK/action/author_attestation","sign_citation":"https://pith.science/pith/4MT33T6WCRE32ETF7ETQQIJGVK/action/citation_signature","submit_replication":"https://pith.science/pith/4MT33T6WCRE32ETF7ETQQIJGVK/action/replication_record"}},"created_at":"2026-05-18T01:36:38.864792+00:00","updated_at":"2026-05-18T01:36:38.864792+00:00"}