{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:ARSN7QJ75HA2ZXLDDUTCUPOFO2","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":"ba619edd4ca27de85fde9ec21db900d337c4559a648c8d0a02e96baeaf936c6c","cross_cats_sorted":["physics.med-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2020-05-21T00:33:00Z","title_canon_sha256":"0165a6c446683020e9f90aab8b1982e2a89e0fbbf490b206f0a28e716688f085"},"schema_version":"1.0","source":{"id":"2005.11280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.11280","created_at":"2026-07-05T01:05:06Z"},{"alias_kind":"arxiv_version","alias_value":"2005.11280v1","created_at":"2026-07-05T01:05:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.11280","created_at":"2026-07-05T01:05:06Z"},{"alias_kind":"pith_short_12","alias_value":"ARSN7QJ75HA2","created_at":"2026-07-05T01:05:06Z"},{"alias_kind":"pith_short_16","alias_value":"ARSN7QJ75HA2ZXLD","created_at":"2026-07-05T01:05:06Z"},{"alias_kind":"pith_short_8","alias_value":"ARSN7QJ7","created_at":"2026-07-05T01:05:06Z"}],"graph_snapshots":[{"event_id":"sha256:069b03d5153711b82601be83729327a47b574b942dd425c851d1989c49caef9b","target":"graph","created_at":"2026-07-05T01:05:06Z","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/2005.11280/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Purpose: To facilitate the implementation/validation of signal representations and models using parametric matrix-variate distributions to approximate the diffusion tensor distribution (DTD) $\\mathcal{P}(\\mathbf{D})$. Theory: We establish practical mathematical tools, the matrix moments of the DTD, enabling to compute the mean diffusion tensor and covariance tensor associated with any parametric matrix-variate DTD whose moment-generating function is known. As a proof of concept, we apply these tools to the non-central matrix-variate Gamma (nc-mv-Gamma) distribution, whose covariance tensor was","authors_text":"A. Reymbaut","cross_cats":["physics.med-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2020-05-21T00:33:00Z","title":"Matrix moments of the diffusion tensor distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.11280","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":"sha256:6bd179c061b335d4a166cdddec0275b9df0078382827feafb28fd665b6624405","target":"record","created_at":"2026-07-05T01:05:06Z","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":"ba619edd4ca27de85fde9ec21db900d337c4559a648c8d0a02e96baeaf936c6c","cross_cats_sorted":["physics.med-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2020-05-21T00:33:00Z","title_canon_sha256":"0165a6c446683020e9f90aab8b1982e2a89e0fbbf490b206f0a28e716688f085"},"schema_version":"1.0","source":{"id":"2005.11280","kind":"arxiv","version":1}},"canonical_sha256":"0464dfc13fe9c1acdd631d262a3dc5768dcec58039a79f9016b9f827224840b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0464dfc13fe9c1acdd631d262a3dc5768dcec58039a79f9016b9f827224840b5","first_computed_at":"2026-07-05T01:05:06.832615Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:05:06.832615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1AuPtBW98Xlm7OwB7iDhP9TlOj8nYIJqiVQH9MZyVLqdr+T5SHfnRtmnv1AeNmCYKmYSdUCzfK+kwlbc7ksSBA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:05:06.833084Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.11280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6bd179c061b335d4a166cdddec0275b9df0078382827feafb28fd665b6624405","sha256:069b03d5153711b82601be83729327a47b574b942dd425c851d1989c49caef9b"],"state_sha256":"8f27377f682c7db8d4e3bfaf313a1af12b281a7e087590ccfe8b9dd4a2acc28c"}