{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PR5L2KVFC22S2SL6CROP3HAB3I","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":"9ee1fc09895d14cdd2e8a6cb2e69244603beb694cc9532d51e221bedc5aa600b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-03-25T15:49:45Z","title_canon_sha256":"5d5d6b04531cf41645fd3658d73a247d388d97d6526758317c06967e9de74a09"},"schema_version":"1.0","source":{"id":"1303.6179","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6179","created_at":"2026-05-17T23:56:56Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6179v2","created_at":"2026-05-17T23:56:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6179","created_at":"2026-05-17T23:56:56Z"},{"alias_kind":"pith_short_12","alias_value":"PR5L2KVFC22S","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"PR5L2KVFC22S2SL6","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"PR5L2KVF","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:95e37c8e800c734cc54fc6a8601c542eda64868311e53de733ff293b9e54f201","target":"graph","created_at":"2026-05-17T23:56:56Z","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":"We study generalized Killing spinors on compact Einstein manifolds with positive scalar curvature. This problem is related to the existence compact Einstein hypersurfaces in manifolds with parallel spinors, or equivalently, in Riemannian products of flat spaces, Calabi-Yau, hyperkaehler, G_2 and Spin(7) manifolds.","authors_text":"Andrei Moroianu, Uwe Semmelmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-03-25T15:49:45Z","title":"Generalized Killing spinors on Einstein manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6179","kind":"arxiv","version":2},"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":"sha256:3674e16d2349aae87fd19e4529ab4aab86d89760aaf8cefbdc901bc3a93a5306","target":"record","created_at":"2026-05-17T23:56:56Z","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":"9ee1fc09895d14cdd2e8a6cb2e69244603beb694cc9532d51e221bedc5aa600b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-03-25T15:49:45Z","title_canon_sha256":"5d5d6b04531cf41645fd3658d73a247d388d97d6526758317c06967e9de74a09"},"schema_version":"1.0","source":{"id":"1303.6179","kind":"arxiv","version":2}},"canonical_sha256":"7c7abd2aa516b52d497e145cfd9c01da3d1a312b53160918332c44fe0fc338a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c7abd2aa516b52d497e145cfd9c01da3d1a312b53160918332c44fe0fc338a0","first_computed_at":"2026-05-17T23:56:56.454916Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:56.454916Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RvwvNMpDueChCwfUNGUWFGiQ09bByv0SZ06qnAggIfGXDaM2FoIRct74+mD/Jyw10GfgkW6K64wDpv4BEvePCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:56.455554Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.6179","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3674e16d2349aae87fd19e4529ab4aab86d89760aaf8cefbdc901bc3a93a5306","sha256:95e37c8e800c734cc54fc6a8601c542eda64868311e53de733ff293b9e54f201"],"state_sha256":"44bcc89952f7e5f1de880a5fcab6ee171519bc089296fab0229ad41149c12408"}