{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:COZCKH6BI4NT4CGRAZSN2RDQJX","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":"c04cf8324c49f9e71461176d77ff7aa4318847aee3386d0a45eef45d913b836b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-26T13:57:55Z","title_canon_sha256":"ad10c5cbf7008eb6c3267b76ccda087f78411ff09291475000f0768e9d46d2fc"},"schema_version":"1.0","source":{"id":"1010.5398","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5398","created_at":"2026-05-18T03:59:25Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5398v1","created_at":"2026-05-18T03:59:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5398","created_at":"2026-05-18T03:59:25Z"},{"alias_kind":"pith_short_12","alias_value":"COZCKH6BI4NT","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"COZCKH6BI4NT4CGR","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"COZCKH6B","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:32f783445889b35462c6f098253d38e3af3d5c73b821f1afd344b8ae1617c6f9","target":"graph","created_at":"2026-05-18T03:59:25Z","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":"This paper is a survey of results obtained by the authors on the geometry of connections with totally skew-symmetric torsion on the following manifolds: almost complex manifolds with Norden metric, almost contact manifolds with B-metric and almost hypercomplex manifolds with Hermitian and anti-Hermitian metric.","authors_text":"Dimitar Mekerov, Kostadin Gribachev, Mancho Manev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-26T13:57:55Z","title":"On the Geometry of Connections with Totally Skew-Symmetric Torsion on Manifolds with Additional Tensor Structures and Indefinite Metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5398","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:a079d9e742ecac4291ca0a645834eb5d817e1d3ac4b07abe4448ff08d4643ee6","target":"record","created_at":"2026-05-18T03:59:25Z","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":"c04cf8324c49f9e71461176d77ff7aa4318847aee3386d0a45eef45d913b836b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-26T13:57:55Z","title_canon_sha256":"ad10c5cbf7008eb6c3267b76ccda087f78411ff09291475000f0768e9d46d2fc"},"schema_version":"1.0","source":{"id":"1010.5398","kind":"arxiv","version":1}},"canonical_sha256":"13b2251fc1471b3e08d10664dd44704dc63d49759d90ab62d0ccfb848418842b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13b2251fc1471b3e08d10664dd44704dc63d49759d90ab62d0ccfb848418842b","first_computed_at":"2026-05-18T03:59:25.709278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:25.709278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TBNZcCv0EGh30LwVGIpKsM6HodeGdSw+Vbvkaz/OMdPwQdwgMDzyTDgcWtMGe1HaDMNnWObbFcORc87CyxfiAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:25.710066Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.5398","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a079d9e742ecac4291ca0a645834eb5d817e1d3ac4b07abe4448ff08d4643ee6","sha256:32f783445889b35462c6f098253d38e3af3d5c73b821f1afd344b8ae1617c6f9"],"state_sha256":"15f8c54d47e7bc9a06dbd8e3851b163f89981347419beffa3bd7e217069dc3df"}