{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:RBTYHF2B23WKXHRN37QVVTUPYU","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":"54f0b80bb72409ab420d0fe9627eea1f8ea5e63f879c04ac14b230bb036d7151","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-06-27T13:04:15Z","title_canon_sha256":"1f76b4771fc659153b544eb3860c9629ad440a277e27fb0c80b09d631e18f473"},"schema_version":"1.0","source":{"id":"1906.11599","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.11599","created_at":"2026-05-17T23:42:04Z"},{"alias_kind":"arxiv_version","alias_value":"1906.11599v1","created_at":"2026-05-17T23:42:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.11599","created_at":"2026-05-17T23:42:04Z"},{"alias_kind":"pith_short_12","alias_value":"RBTYHF2B23WK","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"RBTYHF2B23WKXHRN","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"RBTYHF2B","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:651d3c3dc6de8a192045e407244ca3b8131e6ea70ebc4f37109eea75ad933952","target":"graph","created_at":"2026-05-17T23:42:04Z","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":"G. Navarro raised the question under what circumstancs two vertices of two indecomposable modules over a finite group algebra generate a Sylow $p$-subgroup. The present note provides a sufficient criterion for when this is the case. This generalises a result by Navarro for simple modules over finite $p$-solvable groups, which is the main motivation for this note.","authors_text":"Markus Linckelmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-06-27T13:04:15Z","title":"A note on vertices of indecomposable tensor products"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.11599","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":"sha256:9bf6458476c0e8357456308b7123818098faa64116535ce5e0883b248450bbb9","target":"record","created_at":"2026-05-17T23:42:04Z","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":"54f0b80bb72409ab420d0fe9627eea1f8ea5e63f879c04ac14b230bb036d7151","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-06-27T13:04:15Z","title_canon_sha256":"1f76b4771fc659153b544eb3860c9629ad440a277e27fb0c80b09d631e18f473"},"schema_version":"1.0","source":{"id":"1906.11599","kind":"arxiv","version":1}},"canonical_sha256":"8867839741d6ecab9e2ddfe15ace8fc53bf387fffd5672a324acfba52dada373","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8867839741d6ecab9e2ddfe15ace8fc53bf387fffd5672a324acfba52dada373","first_computed_at":"2026-05-17T23:42:04.354994Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:04.354994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UUMgHenjKhoLJZhERco3GK6+NQDTQBsPfE5sw/DKlZrYk2knxIPYjhu+9tNlZIxiCJBIHPoLMMHshNFgGZoRDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:04.355489Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.11599","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9bf6458476c0e8357456308b7123818098faa64116535ce5e0883b248450bbb9","sha256:651d3c3dc6de8a192045e407244ca3b8131e6ea70ebc4f37109eea75ad933952"],"state_sha256":"003916be7a004d2e66d19f436e969647cebcda0101b1aac17dd76bb7bf36e18b"}