{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FYUXZBIEOJAZ5B2U3JXTVPETEE","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":"ac24ecc72b6ac2ebda0d7f204afa9667c164f34719a26ca7dc7617ade29c52bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-01-22T19:02:20Z","title_canon_sha256":"6ab67cf09c60a752f2c4a110e2fac23d1071957e8a759c20e8f6ce21962bd209"},"schema_version":"1.0","source":{"id":"1801.07276","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.07276","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"arxiv_version","alias_value":"1801.07276v1","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07276","created_at":"2026-05-17T23:48:17Z"},{"alias_kind":"pith_short_12","alias_value":"FYUXZBIEOJAZ","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FYUXZBIEOJAZ5B2U","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FYUXZBIE","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:f8cd834dfc7f486d82faeda4dfcd9e4ee97ea7cd586ae1d1469fdb01776f21b6","target":"graph","created_at":"2026-05-17T23:48:17Z","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 generalized Feix--Kaledin construction shows that c-projective $2n$-manifolds with curvature of type $(1,1)$ are precisely the submanifolds of quaternionic $4n$-manifolds which are fixed points set of a special type of quaternionic $S^1$ action $v$. In this paper, we consider this construction in the presence of infinitesimal symmetries of the two geometries. First, we prove that the submaximally symmetric c-projective model with type $(1,1)$ curvature is a submanifold of a submaximally symmetric quaternionic model, and show how this fits into the construction. We give conditions for when ","authors_text":"Aleksandra Bor\\'owka, Henrik Winther","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-01-22T19:02:20Z","title":"C-projective symmetries of submanifolds in quaternionic geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07276","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":"sha256:2a50ad865f7bad33c6fd5dd99c7202ec3790e7558accc98102c5310c4845ea19","target":"record","created_at":"2026-05-17T23:48:17Z","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":"ac24ecc72b6ac2ebda0d7f204afa9667c164f34719a26ca7dc7617ade29c52bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-01-22T19:02:20Z","title_canon_sha256":"6ab67cf09c60a752f2c4a110e2fac23d1071957e8a759c20e8f6ce21962bd209"},"schema_version":"1.0","source":{"id":"1801.07276","kind":"arxiv","version":1}},"canonical_sha256":"2e297c850472419e8754da6f3abc93213ae8f7dc131591c4e90b74e1ae44c95a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e297c850472419e8754da6f3abc93213ae8f7dc131591c4e90b74e1ae44c95a","first_computed_at":"2026-05-17T23:48:17.526361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:17.526361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XZHdhqHk/bAsATKRgbQxFHNX2UUQj0FxbmzRuCxUsxKTlozmyKyl2y+wwX4Ad40EIpB2VBZ9X0wnuZgvGOmXBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:17.526893Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.07276","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a50ad865f7bad33c6fd5dd99c7202ec3790e7558accc98102c5310c4845ea19","sha256:f8cd834dfc7f486d82faeda4dfcd9e4ee97ea7cd586ae1d1469fdb01776f21b6"],"state_sha256":"ab908ce297f37288773169694c8ae19132605560a5fa3d7f7a6f0656dda86c8c"}