{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JTONM6VW2ZOIH5VNNDVP27UPIK","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":"3363f1aa2b584b8dbcb014cebaa2fba3c5667b6d42dca83389f0cd06c025d6c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-08-25T13:54:19Z","title_canon_sha256":"90f84a9fc5366d22fc21abb89bf2a1ce8e6bd68b064471cb8f9e5f31322bfa6a"},"schema_version":"1.0","source":{"id":"1008.4278","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4278","created_at":"2026-05-18T04:41:53Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4278v1","created_at":"2026-05-18T04:41:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4278","created_at":"2026-05-18T04:41:53Z"},{"alias_kind":"pith_short_12","alias_value":"JTONM6VW2ZOI","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JTONM6VW2ZOIH5VN","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JTONM6VW","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:f397044573e43f89ad9750ec689f87b1926aba386faeb6b587abb99f06d1f13e","target":"graph","created_at":"2026-05-18T04:41:53Z","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 examine relations between geometry and the associated curvature decompositions in Weyl geometry.","authors_text":"P. Gilkey, S. Nikcevic, U. Simon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-08-25T13:54:19Z","title":"Curvature properties of Weyl geometries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4278","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:c7ed59cc9a7795d9746cdb5acc3376c0823506cd38b0729bb7eed84391a854e6","target":"record","created_at":"2026-05-18T04:41:53Z","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":"3363f1aa2b584b8dbcb014cebaa2fba3c5667b6d42dca83389f0cd06c025d6c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-08-25T13:54:19Z","title_canon_sha256":"90f84a9fc5366d22fc21abb89bf2a1ce8e6bd68b064471cb8f9e5f31322bfa6a"},"schema_version":"1.0","source":{"id":"1008.4278","kind":"arxiv","version":1}},"canonical_sha256":"4cdcd67ab6d65c83f6ad68eafd7e8f429bd59ff4033019cdafe183e25442465d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4cdcd67ab6d65c83f6ad68eafd7e8f429bd59ff4033019cdafe183e25442465d","first_computed_at":"2026-05-18T04:41:53.273350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:53.273350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zW32VZCLMv0Tgfz+EtCkO577TgDGbck55i+19UlB6U35kRVgPZWGPk6YQnVTHCAcBLpjs1JuGtIHnXihhTPNAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:53.273774Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.4278","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7ed59cc9a7795d9746cdb5acc3376c0823506cd38b0729bb7eed84391a854e6","sha256:f397044573e43f89ad9750ec689f87b1926aba386faeb6b587abb99f06d1f13e"],"state_sha256":"47b5d7d5c779dc030d45b5465727fa4617a64e36715742f6f1ff4ba9d493a995"}