{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KUYOUVWCTRLPH6CLUWVCXTZTHV","short_pith_number":"pith:KUYOUVWC","canonical_record":{"source":{"id":"1702.00823","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2017-02-02T20:46:28Z","cross_cats_sorted":[],"title_canon_sha256":"862c77e6b3162db5f4e0a165f1bfb7dbeadea88b7ee88f12ebbaf6daa6eb5311","abstract_canon_sha256":"08a1fb56b14629722424faf3cafe90c17f24958ceaf20a86b6f33bb0a7513aab"},"schema_version":"1.0"},"canonical_sha256":"5530ea56c29c56f3f84ba5aa2bcf333d44efabd8ab7747885a0cf1e9f5970a1a","source":{"kind":"arxiv","id":"1702.00823","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.00823","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"arxiv_version","alias_value":"1702.00823v1","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00823","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"pith_short_12","alias_value":"KUYOUVWCTRLP","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KUYOUVWCTRLPH6CL","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KUYOUVWC","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KUYOUVWCTRLPH6CLUWVCXTZTHV","target":"record","payload":{"canonical_record":{"source":{"id":"1702.00823","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2017-02-02T20:46:28Z","cross_cats_sorted":[],"title_canon_sha256":"862c77e6b3162db5f4e0a165f1bfb7dbeadea88b7ee88f12ebbaf6daa6eb5311","abstract_canon_sha256":"08a1fb56b14629722424faf3cafe90c17f24958ceaf20a86b6f33bb0a7513aab"},"schema_version":"1.0"},"canonical_sha256":"5530ea56c29c56f3f84ba5aa2bcf333d44efabd8ab7747885a0cf1e9f5970a1a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:29.677237Z","signature_b64":"vwT3IZWUTd7DOhxgrrnFVF/Ks6E3vWUYrOMWEvWwYIlrAwXaJWxHrYZRJKGM+Y8m8/orXor/4Iln+wW3c5eHCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5530ea56c29c56f3f84ba5aa2bcf333d44efabd8ab7747885a0cf1e9f5970a1a","last_reissued_at":"2026-05-18T00:51:29.676596Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:29.676596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.00823","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rgy49qFMTHHrdYvT917ElWJWmlKs/21vLjAFdD8VLlbPThGCC0L6um5qxayPXHOILpW8XuIb1rjto8JOrCF+Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T21:42:14.831564Z"},"content_sha256":"1ec4d6402024f7be016c9eaa826c6e28163d81a08e64cca51ca06e48b5aaaf93","schema_version":"1.0","event_id":"sha256:1ec4d6402024f7be016c9eaa826c6e28163d81a08e64cca51ca06e48b5aaaf93"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KUYOUVWCTRLPH6CLUWVCXTZTHV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonparametric Spherical Regression Using Diffeomorphic Mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.OT","authors_text":"Anuj Srivastava, Eric Klassen, Michael Rosenthal, Wei Wu","submitted_at":"2017-02-02T20:46:28Z","abstract_excerpt":"Spherical regression explores relationships between variables on spherical domains. We develop a nonparametric model that uses a diffeomorphic map from a sphere to itself. The restriction of this mapping to diffeomorphisms is natural in several settings. The model is estimated in a penalized maximum-likelihood framework using gradient-based optimization. Towards that goal, we specify a first-order roughness penalty using the Jacobian of diffeomorphisms. We compare the prediction performance of the proposed model with state-of-the-art methods using simulated and real data involving cloud deform"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00823","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Ved2s7fMKpH9FaMI1ka5VYYdcFzx742Iy50lmOaOxuNT5KJl3lDGoDRfc2bHceynrowEmPICo0QTn8tKboRCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T21:42:14.832196Z"},"content_sha256":"a09e188c6c3ce9113c47cfb3b9eb07e94562cf0439dda6c930c7db94db6117e6","schema_version":"1.0","event_id":"sha256:a09e188c6c3ce9113c47cfb3b9eb07e94562cf0439dda6c930c7db94db6117e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KUYOUVWCTRLPH6CLUWVCXTZTHV/bundle.json","state_url":"https://pith.science/pith/KUYOUVWCTRLPH6CLUWVCXTZTHV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KUYOUVWCTRLPH6CLUWVCXTZTHV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-18T21:42:14Z","links":{"resolver":"https://pith.science/pith/KUYOUVWCTRLPH6CLUWVCXTZTHV","bundle":"https://pith.science/pith/KUYOUVWCTRLPH6CLUWVCXTZTHV/bundle.json","state":"https://pith.science/pith/KUYOUVWCTRLPH6CLUWVCXTZTHV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KUYOUVWCTRLPH6CLUWVCXTZTHV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KUYOUVWCTRLPH6CLUWVCXTZTHV","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":"08a1fb56b14629722424faf3cafe90c17f24958ceaf20a86b6f33bb0a7513aab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2017-02-02T20:46:28Z","title_canon_sha256":"862c77e6b3162db5f4e0a165f1bfb7dbeadea88b7ee88f12ebbaf6daa6eb5311"},"schema_version":"1.0","source":{"id":"1702.00823","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.00823","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"arxiv_version","alias_value":"1702.00823v1","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00823","created_at":"2026-05-18T00:51:29Z"},{"alias_kind":"pith_short_12","alias_value":"KUYOUVWCTRLP","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KUYOUVWCTRLPH6CL","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KUYOUVWC","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:a09e188c6c3ce9113c47cfb3b9eb07e94562cf0439dda6c930c7db94db6117e6","target":"graph","created_at":"2026-05-18T00:51:29Z","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":"Spherical regression explores relationships between variables on spherical domains. We develop a nonparametric model that uses a diffeomorphic map from a sphere to itself. The restriction of this mapping to diffeomorphisms is natural in several settings. The model is estimated in a penalized maximum-likelihood framework using gradient-based optimization. Towards that goal, we specify a first-order roughness penalty using the Jacobian of diffeomorphisms. We compare the prediction performance of the proposed model with state-of-the-art methods using simulated and real data involving cloud deform","authors_text":"Anuj Srivastava, Eric Klassen, Michael Rosenthal, Wei Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2017-02-02T20:46:28Z","title":"Nonparametric Spherical Regression Using Diffeomorphic Mappings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00823","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":"sha256:1ec4d6402024f7be016c9eaa826c6e28163d81a08e64cca51ca06e48b5aaaf93","target":"record","created_at":"2026-05-18T00:51:29Z","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":"08a1fb56b14629722424faf3cafe90c17f24958ceaf20a86b6f33bb0a7513aab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2017-02-02T20:46:28Z","title_canon_sha256":"862c77e6b3162db5f4e0a165f1bfb7dbeadea88b7ee88f12ebbaf6daa6eb5311"},"schema_version":"1.0","source":{"id":"1702.00823","kind":"arxiv","version":1}},"canonical_sha256":"5530ea56c29c56f3f84ba5aa2bcf333d44efabd8ab7747885a0cf1e9f5970a1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5530ea56c29c56f3f84ba5aa2bcf333d44efabd8ab7747885a0cf1e9f5970a1a","first_computed_at":"2026-05-18T00:51:29.676596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:29.676596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vwT3IZWUTd7DOhxgrrnFVF/Ks6E3vWUYrOMWEvWwYIlrAwXaJWxHrYZRJKGM+Y8m8/orXor/4Iln+wW3c5eHCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:29.677237Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.00823","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ec4d6402024f7be016c9eaa826c6e28163d81a08e64cca51ca06e48b5aaaf93","sha256:a09e188c6c3ce9113c47cfb3b9eb07e94562cf0439dda6c930c7db94db6117e6"],"state_sha256":"a9824c08f39e06e6b89ab0814b1f39ff9dee8a610911a8b5c0423a3b6a866c97"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QvJ6ux3uUPF/YB1GP3wENymODsHhF9eYG0x1MOC4hU8/SVS9kwh6OqX6u5sfjmGhywKoqBCXaPdvubuRlv51DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-18T21:42:14.834117Z","bundle_sha256":"152ef66b0a46677794026124ed992f5aca27172659270e8c1bfbcde907592d5b"}}