{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:K6C2JBTVZRLACKRKSMUQY4QTFN","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":"d9c9563fc29d7302a44a406ddc633106b6e63cdec90576a628e641079a4e7c4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-05-08T17:20:43Z","title_canon_sha256":"58ba051487ee967c42f480a5cd3f1cbe6ea2fec89431a05fe9e40aa11fbc68f8"},"schema_version":"1.0","source":{"id":"1705.02978","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02978","created_at":"2026-05-18T00:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02978v1","created_at":"2026-05-18T00:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02978","created_at":"2026-05-18T00:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"K6C2JBTVZRLA","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"K6C2JBTVZRLACKRK","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"K6C2JBTV","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:53b2550c22e44e135f4553cc8cc281adcc14a2188532c364e9d7f36aa7d0087b","target":"graph","created_at":"2026-05-18T00:15:52Z","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 briefly explain the use of cubature points on Grassmannians in numerical analysis.","authors_text":"Anna Breger, Manuel Graef, Martin Ehler, Thomas Peter","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-05-08T17:20:43Z","title":"Cubatures on Grassmannians: moments, dimension reduction, and related topics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02978","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:fc4ccf097171c9687cb16cc5ddaf5ef7e2e594c33dd471961b90655cf99e9886","target":"record","created_at":"2026-05-18T00:15:52Z","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":"d9c9563fc29d7302a44a406ddc633106b6e63cdec90576a628e641079a4e7c4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-05-08T17:20:43Z","title_canon_sha256":"58ba051487ee967c42f480a5cd3f1cbe6ea2fec89431a05fe9e40aa11fbc68f8"},"schema_version":"1.0","source":{"id":"1705.02978","kind":"arxiv","version":1}},"canonical_sha256":"5785a48675cc56012a2a93290c72132b5eca7eab68a8c98fd1dcf85719295a6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5785a48675cc56012a2a93290c72132b5eca7eab68a8c98fd1dcf85719295a6e","first_computed_at":"2026-05-18T00:15:52.577908Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:52.577908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q5LEIPTNfbCq/w8ClpVdLSE2jpP648pvhw6k3qqjLsf3AjnYYQGSTM5mJl88uZl70os9KjliOxwXh4R2JiihDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:52.578666Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.02978","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc4ccf097171c9687cb16cc5ddaf5ef7e2e594c33dd471961b90655cf99e9886","sha256:53b2550c22e44e135f4553cc8cc281adcc14a2188532c364e9d7f36aa7d0087b"],"state_sha256":"490dd83d749a4a3f5db9d4e5a04239ba4123741400af8eb73ac4bfb4a79d166d"}