{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:EHA3RINS6GEM2TSWNQH2V5J66Z","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":"6288882e5942ebbe30e161e580122db8f4b1e6ee75c30addd41256b64a435958","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-08-05T17:27:04Z","title_canon_sha256":"0f7794ab3a283d2489ad3923d9a79dfb2addd2ee5ec21eea0b229db6f3504570"},"schema_version":"1.0","source":{"id":"1908.01736","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.01736","created_at":"2026-07-05T00:31:14Z"},{"alias_kind":"arxiv_version","alias_value":"1908.01736v1","created_at":"2026-07-05T00:31:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01736","created_at":"2026-07-05T00:31:14Z"},{"alias_kind":"pith_short_12","alias_value":"EHA3RINS6GEM","created_at":"2026-07-05T00:31:14Z"},{"alias_kind":"pith_short_16","alias_value":"EHA3RINS6GEM2TSW","created_at":"2026-07-05T00:31:14Z"},{"alias_kind":"pith_short_8","alias_value":"EHA3RINS","created_at":"2026-07-05T00:31:14Z"}],"graph_snapshots":[{"event_id":"sha256:2ad1682b0b7eb8d2077414e91a16a304a2abcd01d7f5b9eee83b19707169c74a","target":"graph","created_at":"2026-07-05T00:31:14Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.01736/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the projective special Kaehler condition on groups, providing an intrinsic definition of homogeneous projective special Kaehler that includes the previously known examples. We give intrinsic defining equations that may be used without resorting to computations in the special cone, and emphasise certain associated integrability equations. The definition is shown to have the property that the image of such structures under the c-map is necessarily a left-invariant quaternionic Kaehler structure on a Lie group.","authors_text":"Andrew Swann, Oscar Macia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-08-05T17:27:04Z","title":"The c-map on groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01736","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:f84f71e6553cf83d8c404583c650260c893e803d1789cbfca8b2435101d0debd","target":"record","created_at":"2026-07-05T00:31:14Z","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":"6288882e5942ebbe30e161e580122db8f4b1e6ee75c30addd41256b64a435958","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-08-05T17:27:04Z","title_canon_sha256":"0f7794ab3a283d2489ad3923d9a79dfb2addd2ee5ec21eea0b229db6f3504570"},"schema_version":"1.0","source":{"id":"1908.01736","kind":"arxiv","version":1}},"canonical_sha256":"21c1b8a1b2f188cd4e566c0faaf53ef6673b226338ccebf79003ad007391928d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21c1b8a1b2f188cd4e566c0faaf53ef6673b226338ccebf79003ad007391928d","first_computed_at":"2026-07-05T00:31:14.597256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:31:14.597256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6hxapgPDyIXuf5JDxuUAXrob6qZNsYbLMoeA/QKsnm2TEK+I7dx6zlJRMwGzBHAA09wwf17MbJ3SSu96J1tgCg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:31:14.597715Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.01736","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f84f71e6553cf83d8c404583c650260c893e803d1789cbfca8b2435101d0debd","sha256:2ad1682b0b7eb8d2077414e91a16a304a2abcd01d7f5b9eee83b19707169c74a"],"state_sha256":"fb8fed52f89ba5789e1d090fdf71390317aebd0da670c95061ecd4cdc61a244d"}