{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CN2MRTR234RI72BYAEZOG2YDVO","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":"ce7d44bb11b9e45e1e80e86cf8af0a0847d4e11941bf1b888382bbd66b4d4588","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-07-07T14:09:01Z","title_canon_sha256":"0276573ac89e34d84a12d65dc5d6c493d35c5288ec0be772748ca876c275b691"},"schema_version":"1.0","source":{"id":"1607.02025","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.02025","created_at":"2026-05-18T01:11:22Z"},{"alias_kind":"arxiv_version","alias_value":"1607.02025v1","created_at":"2026-05-18T01:11:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.02025","created_at":"2026-05-18T01:11:22Z"},{"alias_kind":"pith_short_12","alias_value":"CN2MRTR234RI","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CN2MRTR234RI72BY","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CN2MRTR2","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:5b4de1aac276708b45c37ebfcb553448b14c6042d877b4925737fd4f1ab4f3be","target":"graph","created_at":"2026-05-18T01:11:22Z","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":"The symmetry dimension of a geometric structure is the dimension of its symmetry algebra. We investigate symmetries of almost quaternionic structures of quaternionic dimension $n$. The maximal possible symmetry is realized by the quaternionic projective space $\\mathbb{H}P^n$, which is flat and has the symmetry algebra $\\mathfrak{sl}(n+1,\\mathbb{H})$ of dimension $4n^2+8n+3$. For non-flat almost quaternionic manifolds we compute the next biggest (submaximal) symmetry dimension. We show that it is equal to $4n^2-4n+9$ for $n>1$ (it is equal to 8 for $n=1$). This is realized both by a quaternioni","authors_text":"Boris Kruglikov, Henrik Winther, Lenka Zalabova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-07-07T14:09:01Z","title":"Submaximally Symmetric Almost Quaternionic Structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.02025","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:accf40e6f6aa063f5431108849e3982e6467a48f9280bc67f6d4a1e05516f461","target":"record","created_at":"2026-05-18T01:11:22Z","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":"ce7d44bb11b9e45e1e80e86cf8af0a0847d4e11941bf1b888382bbd66b4d4588","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-07-07T14:09:01Z","title_canon_sha256":"0276573ac89e34d84a12d65dc5d6c493d35c5288ec0be772748ca876c275b691"},"schema_version":"1.0","source":{"id":"1607.02025","kind":"arxiv","version":1}},"canonical_sha256":"1374c8ce3adf228fe8380132e36b03abbd5941b091699fbade7e536197a04c46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1374c8ce3adf228fe8380132e36b03abbd5941b091699fbade7e536197a04c46","first_computed_at":"2026-05-18T01:11:22.757144Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:22.757144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xldwdUebwzgNmD2XVMhYm0XGSttuDuaEclTmlB4lYBIgLW3SGut5UZ+2sI13tWF9Xtih4yTOfSf7Oduvo6AsAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:22.757868Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.02025","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:accf40e6f6aa063f5431108849e3982e6467a48f9280bc67f6d4a1e05516f461","sha256:5b4de1aac276708b45c37ebfcb553448b14c6042d877b4925737fd4f1ab4f3be"],"state_sha256":"90c215fbb5664c077e03bf856b808edd4a5ba429508bbc2ee40e7f5e8440277e"}