{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CHCHACQTWU6YR4KBCDAQWPEW7K","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":"f7fb151917a5820a8d95f8386d0430f272402fade4f9be8d727c88d1325a999e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2024-05-27T01:06:58Z","title_canon_sha256":"eea87b2d95d4f2b822c73cddc82013f216e62b423f4438c33b2b0944a069514d"},"schema_version":"1.0","source":{"id":"2405.16738","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.16738","created_at":"2026-07-05T10:43:36Z"},{"alias_kind":"arxiv_version","alias_value":"2405.16738v3","created_at":"2026-07-05T10:43:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.16738","created_at":"2026-07-05T10:43:36Z"},{"alias_kind":"pith_short_12","alias_value":"CHCHACQTWU6Y","created_at":"2026-07-05T10:43:36Z"},{"alias_kind":"pith_short_16","alias_value":"CHCHACQTWU6YR4KB","created_at":"2026-07-05T10:43:36Z"},{"alias_kind":"pith_short_8","alias_value":"CHCHACQT","created_at":"2026-07-05T10:43:36Z"}],"graph_snapshots":[{"event_id":"sha256:c6bf206efb943caa5ee9bd7e37e0177a78b2b1ae352da11b7a714f8952783c57","target":"graph","created_at":"2026-07-05T10:43:36Z","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/2405.16738/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Image registration estimates spatial correspondences between a pair of images. These estimates are typically obtained via numerical optimization or regression by a deep network. A desirable property of such estimators is that a correspondence estimate (e.g., the true oracle correspondence) for an image pair is maintained under deformations of the input images. Formally, the estimator should be equivariant to a desired class of image transformations. In this work, we present careful analyses of the desired equivariance properties in the context of multi-step deep registration networks. Based on","authors_text":"Francois-Xavier Vialard, Hastings Greer, Lin Tian, Marc Niethammer, Raul San Jose Estepar, Roland Kwitt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2024-05-27T01:06:58Z","title":"CARL: A Framework for Equivariant Image Registration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.16738","kind":"arxiv","version":3},"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":"sha256:24a0ab6434b960e496c8f8957afbffa4494ddce257d389c4c9b6a21666cf4add","target":"record","created_at":"2026-07-05T10:43:36Z","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":"f7fb151917a5820a8d95f8386d0430f272402fade4f9be8d727c88d1325a999e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2024-05-27T01:06:58Z","title_canon_sha256":"eea87b2d95d4f2b822c73cddc82013f216e62b423f4438c33b2b0944a069514d"},"schema_version":"1.0","source":{"id":"2405.16738","kind":"arxiv","version":3}},"canonical_sha256":"11c4700a13b53d88f14110c10b3c96fa80cd6a5f6ca3a35d3f7285eb5c46f6be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11c4700a13b53d88f14110c10b3c96fa80cd6a5f6ca3a35d3f7285eb5c46f6be","first_computed_at":"2026-07-05T10:43:36.065627Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:43:36.065627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gUgMht5I9K4TkuJ7Bt0cS6eIMRc6Bn56C66hfmkseaZH8KeMu11VsTSbg4GS93qXOwXkHoZCU0k1+TsUDocMDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:43:36.066110Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.16738","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24a0ab6434b960e496c8f8957afbffa4494ddce257d389c4c9b6a21666cf4add","sha256:c6bf206efb943caa5ee9bd7e37e0177a78b2b1ae352da11b7a714f8952783c57"],"state_sha256":"9af7f0be3176737ab634d333e44d7aed3ecc4bdb9d0bfc6df92774b3cf102e3d"}