{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ZETTAYNZ6VK3CEX4I6FFN4VZG5","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":"7a3b6e7e5aab9a6aa648bcef4d7c9f98bcec81a7b2957fe56c9b16ba83851caf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-08-23T13:49:50Z","title_canon_sha256":"8e2744fc1feea63205db4c2e7b1f841ecdf921a82202c15c20c6e3032f4a885a"},"schema_version":"1.0","source":{"id":"1908.08824","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.08824","created_at":"2026-07-05T00:16:05Z"},{"alias_kind":"arxiv_version","alias_value":"1908.08824v6","created_at":"2026-07-05T00:16:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.08824","created_at":"2026-07-05T00:16:05Z"},{"alias_kind":"pith_short_12","alias_value":"ZETTAYNZ6VK3","created_at":"2026-07-05T00:16:05Z"},{"alias_kind":"pith_short_16","alias_value":"ZETTAYNZ6VK3CEX4","created_at":"2026-07-05T00:16:05Z"},{"alias_kind":"pith_short_8","alias_value":"ZETTAYNZ","created_at":"2026-07-05T00:16:05Z"}],"graph_snapshots":[{"event_id":"sha256:7ded381082eca8dbeb2e193765bfc85b86728221a6a4aa71a6a29dbbc7141d4b","target":"graph","created_at":"2026-07-05T00:16:05Z","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/1908.08824/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The constrained orthogonal Procrustes problem is the least-squares problem that calls for a rotation matrix that optimally aligns two corresponding sets of points in d-dimensional Euclidean space. This problem generalizes to the so-called Wahba's problem which is the same problem with nonnegative weights. Given a dxd matrix M, solutions to these problems are intimately related to the problem of finding a dxd rotation matrix U that maximizes the trace of UM, i.e., that makes UM a matrix of maximal trace over rotations, and it is well known this can be achieved with a method based on the computa","authors_text":"Javier Bernal, Jim Lawrence","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-08-23T13:49:50Z","title":"Characterization and Computation of Matrices of Maximal Trace over Rotations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.08824","kind":"arxiv","version":6},"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:ad7f17318c757eb5acca19911c118b325675308e9d402d384d30458747e2ccd1","target":"record","created_at":"2026-07-05T00:16:05Z","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":"7a3b6e7e5aab9a6aa648bcef4d7c9f98bcec81a7b2957fe56c9b16ba83851caf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-08-23T13:49:50Z","title_canon_sha256":"8e2744fc1feea63205db4c2e7b1f841ecdf921a82202c15c20c6e3032f4a885a"},"schema_version":"1.0","source":{"id":"1908.08824","kind":"arxiv","version":6}},"canonical_sha256":"c9273061b9f555b112fc478a56f2b9374436d33ad263d2c6e224364c9c8db9b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9273061b9f555b112fc478a56f2b9374436d33ad263d2c6e224364c9c8db9b7","first_computed_at":"2026-07-05T00:16:05.228043Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:16:05.228043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/mZY+1mYz2MkD69Af9wKtTF2rfhRsVmgJq/bFoZmwe314snIrZuQZt5BN/hcMUygLEsaWL8mHs/WIuy4yIRcAA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:16:05.228489Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.08824","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad7f17318c757eb5acca19911c118b325675308e9d402d384d30458747e2ccd1","sha256:7ded381082eca8dbeb2e193765bfc85b86728221a6a4aa71a6a29dbbc7141d4b"],"state_sha256":"ed2248f6307aa37603eda2b5e2b168004211a74a6150ec2f67fab5419af363db"}