{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:WKQAQUZDXDHD7SQMLKHPBAYLP6","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":"48afc0140de37d9275d1ef13d827db42bb4536c3b3a5f3b1fda1be003619efc2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2019-06-25T21:46:01Z","title_canon_sha256":"e14b985b3068fb7c4c6ee7bb4d4e4f068b1fedb61215d5367400c90900393b63"},"schema_version":"1.0","source":{"id":"1907.00726","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.00726","created_at":"2026-05-17T23:41:48Z"},{"alias_kind":"arxiv_version","alias_value":"1907.00726v1","created_at":"2026-05-17T23:41:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.00726","created_at":"2026-05-17T23:41:48Z"},{"alias_kind":"pith_short_12","alias_value":"WKQAQUZDXDHD","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"WKQAQUZDXDHD7SQM","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"WKQAQUZD","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:38ef5963994aabccd2656af86a157feb73dd93d1119d076714267a7229f8160f","target":"graph","created_at":"2026-05-17T23:41:48Z","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":"In this paper, we construct metallic K\\\"ahler and nearly metallic K\\\"ahler structures on Riemanian manifolds. For such manifolds with these structures, we study curvature properties. Also we describe linear connections on the manifold, which preserve the associated fundamental 2-form and satisfy some additional conditions and present some results concerning them.","authors_text":"Aydin GEZER, Hasan Cakicioglu, Sibel Turanli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2019-06-25T21:46:01Z","title":"Metallic K\\\"ahler and Nearly Metallic Kahler Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.00726","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":"sha256:9a0ffa6c81890af1ed68a2ce36d15155371b264cf3bd3eaadd17deecd6b9146f","target":"record","created_at":"2026-05-17T23:41:48Z","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":"48afc0140de37d9275d1ef13d827db42bb4536c3b3a5f3b1fda1be003619efc2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2019-06-25T21:46:01Z","title_canon_sha256":"e14b985b3068fb7c4c6ee7bb4d4e4f068b1fedb61215d5367400c90900393b63"},"schema_version":"1.0","source":{"id":"1907.00726","kind":"arxiv","version":1}},"canonical_sha256":"b2a0085323b8ce3fca0c5a8ef0830b7fa2a1aaa0f7a40ffad0720dc57e769142","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2a0085323b8ce3fca0c5a8ef0830b7fa2a1aaa0f7a40ffad0720dc57e769142","first_computed_at":"2026-05-17T23:41:48.305696Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:48.305696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zeLSCmBIHPh2/wT7+E+BcFObhIV/MES0MQlSjPRmP8UcxIl0DzwD/fkmNeJdSX7e/uPz2WdBxwcY3SVYnPKOCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:48.306533Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.00726","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a0ffa6c81890af1ed68a2ce36d15155371b264cf3bd3eaadd17deecd6b9146f","sha256:38ef5963994aabccd2656af86a157feb73dd93d1119d076714267a7229f8160f"],"state_sha256":"2747623455ab2c1ba67bb8b255c23da9ce9327163ea45878aa5156ff78a2f1bb"}