{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VXF73M2G6JSWRUKB5EWVH74V2E","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":"78abdbc6677a50d8e597e5bc9d87a7cc0ff098ef8b2e7508fdb3daed3cd5a82b","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2012-10-10T08:25:32Z","title_canon_sha256":"fd1983d54f6e7428cb1519ef19db6cf99295166c90e972904f0c486aca4d9514"},"schema_version":"1.0","source":{"id":"1210.2826","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2826","created_at":"2026-05-18T03:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2826v1","created_at":"2026-05-18T03:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2826","created_at":"2026-05-18T03:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"VXF73M2G6JSW","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VXF73M2G6JSWRUKB","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VXF73M2G","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:83d0438a3e28a30e21a7c0eea2e4d5e74b44e4437281fe0be1ad604bd7bd5bde","target":"graph","created_at":"2026-05-18T03:43:31Z","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":"Statistical analysis of Diffusion Tensor Imaging (DTI) data requires a computational framework that is both numerically tractable (to account for the high dimensional nature of the data) and geometric (to account for the nonlinear nature of diffusion tensors). Building upon earlier studies that have shown that a Riemannian framework is appropriate to address these challenges, the present paper proposes a novel metric and an accompanying computational framework for DTI data processing. The proposed metric retains the geometry and the computational tractability of earlier methods grounded in the","authors_text":"Anne Collard, Christophe Phillips, Rodolphe Sepulchre, Silv\\`ere Bonnabel","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2012-10-10T08:25:32Z","title":"An anisotropy preserving metric for DTI processing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2826","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:d85962610630b4220b378d69b759e5af83b19208477f7549ba1620de1be97e4e","target":"record","created_at":"2026-05-18T03:43:31Z","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":"78abdbc6677a50d8e597e5bc9d87a7cc0ff098ef8b2e7508fdb3daed3cd5a82b","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2012-10-10T08:25:32Z","title_canon_sha256":"fd1983d54f6e7428cb1519ef19db6cf99295166c90e972904f0c486aca4d9514"},"schema_version":"1.0","source":{"id":"1210.2826","kind":"arxiv","version":1}},"canonical_sha256":"adcbfdb346f26568d141e92d53ff95d10c7edd3a38133574eea8baa3e51bcab2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"adcbfdb346f26568d141e92d53ff95d10c7edd3a38133574eea8baa3e51bcab2","first_computed_at":"2026-05-18T03:43:31.455432Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:31.455432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6pEe9Z4tPV3uSxkSb7yHVLJQh0hTPZrLKDEy9fdy6G4wxGBQfpjBsLZYH6vlhbaqAJ9n+crfLZ0hzf2XcTvPBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:31.456184Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.2826","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d85962610630b4220b378d69b759e5af83b19208477f7549ba1620de1be97e4e","sha256:83d0438a3e28a30e21a7c0eea2e4d5e74b44e4437281fe0be1ad604bd7bd5bde"],"state_sha256":"41baee38599ce1d929e7f97d10bebde7c93ff9689aadf9343a1ec2014371a004"}