{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RFRP3I5ENT7IL5FB4YYZU3OG3D","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":"e457f9c54c22fa0d5854b9ee5cc5c4d644646c74134cc076ee8af2f7f36eefb4","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-10T14:53:45Z","title_canon_sha256":"90881f41ebd81afb4f230f3eb7f4880d126e4d7cca4352bbee61641d0453b63d"},"schema_version":"1.0","source":{"id":"1701.02622","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02622","created_at":"2026-05-18T00:21:14Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02622v1","created_at":"2026-05-18T00:21:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02622","created_at":"2026-05-18T00:21:14Z"},{"alias_kind":"pith_short_12","alias_value":"RFRP3I5ENT7I","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RFRP3I5ENT7IL5FB","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RFRP3I5E","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:bff3580f0d289d6563ad3620a2df022a9344179c0156e7e28ec73f341bca0ed3","target":"graph","created_at":"2026-05-18T00:21:14Z","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"},"paper":{"abstract_excerpt":"We give several equivalent characterizations of orthogonal subbundles of the generalized tangent bundle defined, up to B-field transform, by almost product and local product structures. We also introduce a pure spinor formalism for generalized CRF-structure and investigate the resulting decomposition of the de Rham operator. As applications we give a characterization of generalized complex manifolds that are locally the product of generalized complex factors and discuss infinitesimal deformations of generalized CRF-structures.","authors_text":"Daniele Grandini, Marco Aldi","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-10T14:53:45Z","title":"Generalized Almost Product Structures and Generalized CRF-structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02622","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":"sha256:50ffb1d93335eb1e6cfa55968e25e49d70e8067ce5a067d90a5dcbd68289a965","target":"record","created_at":"2026-05-18T00:21:14Z","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":"e457f9c54c22fa0d5854b9ee5cc5c4d644646c74134cc076ee8af2f7f36eefb4","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-10T14:53:45Z","title_canon_sha256":"90881f41ebd81afb4f230f3eb7f4880d126e4d7cca4352bbee61641d0453b63d"},"schema_version":"1.0","source":{"id":"1701.02622","kind":"arxiv","version":1}},"canonical_sha256":"8962fda3a46cfe85f4a1e6319a6dc6d8f712402f8e84d0bebccdcd6b681ff4e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8962fda3a46cfe85f4a1e6319a6dc6d8f712402f8e84d0bebccdcd6b681ff4e6","first_computed_at":"2026-05-18T00:21:14.763929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:14.763929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bNOH1zC4I6H4uAcbpZ2C7l381qRI+hLAE7wqNlkKk0G4PsbC/oJiJUH1MuJajxwGKSaKQRV7nvill8rPWIFSBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:14.764356Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.02622","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50ffb1d93335eb1e6cfa55968e25e49d70e8067ce5a067d90a5dcbd68289a965","sha256:bff3580f0d289d6563ad3620a2df022a9344179c0156e7e28ec73f341bca0ed3"],"state_sha256":"aa9598c4f2d9669d77d4190b55c22b637bec5c8bf7a651154bfc2357694a1975"}