{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:JK3TCWJV5X7RN45UYLF7QR3VKW","short_pith_number":"pith:JK3TCWJV","canonical_record":{"source":{"id":"1907.04834","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-07-10T17:32:07Z","cross_cats_sorted":[],"title_canon_sha256":"d3e7ac480313dfb81427c7e52440b2cfecec95b33b08cda9c7d2c436ed891fc0","abstract_canon_sha256":"4e7d6913cb0264fcdb399cfe4c940a7aae5bdb944ac0af4d4a9c91344bcb482c"},"schema_version":"1.0"},"canonical_sha256":"4ab7315935edff16f3b4c2cbf8477555a922c667e3103f6f8676150a4797360d","source":{"kind":"arxiv","id":"1907.04834","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.04834","created_at":"2026-05-17T23:40:56Z"},{"alias_kind":"arxiv_version","alias_value":"1907.04834v1","created_at":"2026-05-17T23:40:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.04834","created_at":"2026-05-17T23:40:56Z"},{"alias_kind":"pith_short_12","alias_value":"JK3TCWJV5X7R","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"JK3TCWJV5X7RN45U","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"JK3TCWJV","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:JK3TCWJV5X7RN45UYLF7QR3VKW","target":"record","payload":{"canonical_record":{"source":{"id":"1907.04834","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-07-10T17:32:07Z","cross_cats_sorted":[],"title_canon_sha256":"d3e7ac480313dfb81427c7e52440b2cfecec95b33b08cda9c7d2c436ed891fc0","abstract_canon_sha256":"4e7d6913cb0264fcdb399cfe4c940a7aae5bdb944ac0af4d4a9c91344bcb482c"},"schema_version":"1.0"},"canonical_sha256":"4ab7315935edff16f3b4c2cbf8477555a922c667e3103f6f8676150a4797360d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:56.542022Z","signature_b64":"ADv4guvsuJPQTx0CONFxUVDwA3O5feGmH0iwqYv5fJ/gasKImmWAuQa922nMUzksf1cqGzfR2WXIiTboN5TmBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ab7315935edff16f3b4c2cbf8477555a922c667e3103f6f8676150a4797360d","last_reissued_at":"2026-05-17T23:40:56.541285Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:56.541285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.04834","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":"2026-05-17T23:40:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IAAfeK7T7mtVgx4SURuC1xipg4cYMsNEBhJqIAtdZj2r5TU/CpBnMOATR278MccCdSIodJzBJB5w6jkX3CQeDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:08:41.196806Z"},"content_sha256":"c024fb0bddb7d3d53f869f1a45b9592d49b2a2c03fee450ae9f9bfb363f35e20","schema_version":"1.0","event_id":"sha256:c024fb0bddb7d3d53f869f1a45b9592d49b2a2c03fee450ae9f9bfb363f35e20"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:JK3TCWJV5X7RN45UYLF7QR3VKW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Barnes-Hut Approximation for Point SetGeodesic Shooting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"James Gee, Jiancong Wang, Long Xie, Paul Yushkevich","submitted_at":"2019-07-10T17:32:07Z","abstract_excerpt":"Geodesic shooting has been successfully applied to diffeo-morphic registration of point sets. Exact computation of the geodesicshooting between point sets, however, requiresO(N2) calculations each time step on the number of points in the point set. We proposean approximation approach based on the Barnes-Hut algorithm to speedup point set geodesic shooting. This approximation can reduce the al-gorithm complexity toO(N b+N logN). The evaluation of the proposedmethod in both simulated images and the medial temporal lobe thick-ness analysis demonstrates a comparable accuracy to the exact point set"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.04834","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":"2026-05-17T23:40:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"by2Qp+wIgLWyw7J3akj/v0c5/lhTFlY/yf9U6u9fybbePFcanuM/osM4AmbAsvf65rOToCLC1SO4IU2CizifBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:08:41.197450Z"},"content_sha256":"e32edd7f355d996ab2b1024fcc661c224b446251e9ee4b078d2fdf91d7a6ac88","schema_version":"1.0","event_id":"sha256:e32edd7f355d996ab2b1024fcc661c224b446251e9ee4b078d2fdf91d7a6ac88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JK3TCWJV5X7RN45UYLF7QR3VKW/bundle.json","state_url":"https://pith.science/pith/JK3TCWJV5X7RN45UYLF7QR3VKW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JK3TCWJV5X7RN45UYLF7QR3VKW/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":"2026-05-27T04:08:41Z","links":{"resolver":"https://pith.science/pith/JK3TCWJV5X7RN45UYLF7QR3VKW","bundle":"https://pith.science/pith/JK3TCWJV5X7RN45UYLF7QR3VKW/bundle.json","state":"https://pith.science/pith/JK3TCWJV5X7RN45UYLF7QR3VKW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JK3TCWJV5X7RN45UYLF7QR3VKW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:JK3TCWJV5X7RN45UYLF7QR3VKW","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":"4e7d6913cb0264fcdb399cfe4c940a7aae5bdb944ac0af4d4a9c91344bcb482c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-07-10T17:32:07Z","title_canon_sha256":"d3e7ac480313dfb81427c7e52440b2cfecec95b33b08cda9c7d2c436ed891fc0"},"schema_version":"1.0","source":{"id":"1907.04834","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.04834","created_at":"2026-05-17T23:40:56Z"},{"alias_kind":"arxiv_version","alias_value":"1907.04834v1","created_at":"2026-05-17T23:40:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.04834","created_at":"2026-05-17T23:40:56Z"},{"alias_kind":"pith_short_12","alias_value":"JK3TCWJV5X7R","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"JK3TCWJV5X7RN45U","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"JK3TCWJV","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:e32edd7f355d996ab2b1024fcc661c224b446251e9ee4b078d2fdf91d7a6ac88","target":"graph","created_at":"2026-05-17T23:40:56Z","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":"Geodesic shooting has been successfully applied to diffeo-morphic registration of point sets. Exact computation of the geodesicshooting between point sets, however, requiresO(N2) calculations each time step on the number of points in the point set. We proposean approximation approach based on the Barnes-Hut algorithm to speedup point set geodesic shooting. This approximation can reduce the al-gorithm complexity toO(N b+N logN). The evaluation of the proposedmethod in both simulated images and the medial temporal lobe thick-ness analysis demonstrates a comparable accuracy to the exact point set","authors_text":"James Gee, Jiancong Wang, Long Xie, Paul Yushkevich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-07-10T17:32:07Z","title":"Barnes-Hut Approximation for Point SetGeodesic Shooting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.04834","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:c024fb0bddb7d3d53f869f1a45b9592d49b2a2c03fee450ae9f9bfb363f35e20","target":"record","created_at":"2026-05-17T23:40:56Z","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":"4e7d6913cb0264fcdb399cfe4c940a7aae5bdb944ac0af4d4a9c91344bcb482c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-07-10T17:32:07Z","title_canon_sha256":"d3e7ac480313dfb81427c7e52440b2cfecec95b33b08cda9c7d2c436ed891fc0"},"schema_version":"1.0","source":{"id":"1907.04834","kind":"arxiv","version":1}},"canonical_sha256":"4ab7315935edff16f3b4c2cbf8477555a922c667e3103f6f8676150a4797360d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ab7315935edff16f3b4c2cbf8477555a922c667e3103f6f8676150a4797360d","first_computed_at":"2026-05-17T23:40:56.541285Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:56.541285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ADv4guvsuJPQTx0CONFxUVDwA3O5feGmH0iwqYv5fJ/gasKImmWAuQa922nMUzksf1cqGzfR2WXIiTboN5TmBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:56.542022Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.04834","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c024fb0bddb7d3d53f869f1a45b9592d49b2a2c03fee450ae9f9bfb363f35e20","sha256:e32edd7f355d996ab2b1024fcc661c224b446251e9ee4b078d2fdf91d7a6ac88"],"state_sha256":"c2b96d70e35e978150b00b2f1509a35ef50ec648aab9d6750513f0f27b35516f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YnS3RIlgzdaY1Doz/TtO7zUoRVJtuzRhHfVtW5TOWVF9ofBuGYCEjkg1ohX2Wc+mypHD49ZE2IoQrQcgDybQCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T04:08:41.200509Z","bundle_sha256":"b18984b2897751561cc6c1514ea061b93d93a9995b70af8e8366025d23c7ac55"}}