{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:Z6E7FDA3F5QXDQ7WZVVLFT6XAT","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":"f507f6c34df448d14cdcac696da17c2aba6d01f34e73f37c7ec5880ae35cbd8a","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-07-11T03:42:08Z","title_canon_sha256":"cd772a837776060ec4a09dc983272b861ed9901aab10c9135a76c7d09c92a79b"},"schema_version":"1.0","source":{"id":"2307.05001","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.05001","created_at":"2026-07-05T08:56:56Z"},{"alias_kind":"arxiv_version","alias_value":"2307.05001v5","created_at":"2026-07-05T08:56:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.05001","created_at":"2026-07-05T08:56:56Z"},{"alias_kind":"pith_short_12","alias_value":"Z6E7FDA3F5QX","created_at":"2026-07-05T08:56:56Z"},{"alias_kind":"pith_short_16","alias_value":"Z6E7FDA3F5QXDQ7W","created_at":"2026-07-05T08:56:56Z"},{"alias_kind":"pith_short_8","alias_value":"Z6E7FDA3","created_at":"2026-07-05T08:56:56Z"}],"graph_snapshots":[{"event_id":"sha256:69d7f7921132894bca82f63ec556129c6e59816256c7a09ee59f85671d7bb0aa","target":"graph","created_at":"2026-07-05T08:56:56Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2307.05001/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is observed that on a compact almost complex Calabi-Yau with torsion 6-manifold the Nijenhuis tensor is parallel with respect to the torsion connection. If the torsion is closed then the space is a compact generalized gradient Ricci soliton. In this case, the torsion connection is Ricci-flat if and only if either the norm of the torsion or the Riemannian scalar curvature is constant. On a compact almost complex Calabi-Yau with torsion 6-manifold it is shown that the curvature of the torsion connection is symmetric on exchange of the first and the second pairs and has vanishing Ricci tensor ","authors_text":"Nikola Stanchev, Stefan Ivanov","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-07-11T03:42:08Z","title":"The Riemannian curvature identities on almost Calabi-Yau with torsion 6-manifold and generalized Ricci solitons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.05001","kind":"arxiv","version":5},"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:f8304f20eb8b820da80cd935a49321279c6993386a053423633cdf95ce6b4c42","target":"record","created_at":"2026-07-05T08:56:56Z","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":"f507f6c34df448d14cdcac696da17c2aba6d01f34e73f37c7ec5880ae35cbd8a","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-07-11T03:42:08Z","title_canon_sha256":"cd772a837776060ec4a09dc983272b861ed9901aab10c9135a76c7d09c92a79b"},"schema_version":"1.0","source":{"id":"2307.05001","kind":"arxiv","version":5}},"canonical_sha256":"cf89f28c1b2f6171c3f6cd6ab2cfd704cd3fc5f501e5853f8789bcaa69a5345d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf89f28c1b2f6171c3f6cd6ab2cfd704cd3fc5f501e5853f8789bcaa69a5345d","first_computed_at":"2026-07-05T08:56:56.311862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:56:56.311862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zzbxdrpmD/yzbjetCV+13qY3fUYV7eQW3KS0S1rLzskhLNPV3ikZjzEsrjghysjzerNUpeR5PLrpjdsvoYrTBg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:56:56.312258Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.05001","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8304f20eb8b820da80cd935a49321279c6993386a053423633cdf95ce6b4c42","sha256:69d7f7921132894bca82f63ec556129c6e59816256c7a09ee59f85671d7bb0aa"],"state_sha256":"450465693a283ee71224a4f155ac6de1ce9f49fa7c49a81f93f8088006e47a8d"}