{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:PUPTLF5WWMVEIKMFVXZMUEARMQ","short_pith_number":"pith:PUPTLF5W","canonical_record":{"source":{"id":"1505.07690","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-28T13:52:41Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"f196887c7cd7053dc8288ea1025ae349f1f527c52e5c340002cc772057c703a3","abstract_canon_sha256":"aba2cdc5949d116a87b867b50d029360b5f13335d7b367a6e6a4d9e24212a3f8"},"schema_version":"1.0"},"canonical_sha256":"7d1f3597b6b32a442985adf2ca1011643825ed1a49d722407844daa8cfcf7316","source":{"kind":"arxiv","id":"1505.07690","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07690","created_at":"2026-05-18T02:00:56Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07690v1","created_at":"2026-05-18T02:00:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07690","created_at":"2026-05-18T02:00:56Z"},{"alias_kind":"pith_short_12","alias_value":"PUPTLF5WWMVE","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PUPTLF5WWMVEIKMF","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PUPTLF5W","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:PUPTLF5WWMVEIKMFVXZMUEARMQ","target":"record","payload":{"canonical_record":{"source":{"id":"1505.07690","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-28T13:52:41Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"f196887c7cd7053dc8288ea1025ae349f1f527c52e5c340002cc772057c703a3","abstract_canon_sha256":"aba2cdc5949d116a87b867b50d029360b5f13335d7b367a6e6a4d9e24212a3f8"},"schema_version":"1.0"},"canonical_sha256":"7d1f3597b6b32a442985adf2ca1011643825ed1a49d722407844daa8cfcf7316","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:56.125265Z","signature_b64":"DPBK2AHSl9A+UZ89ZdZAa5fMoA3kD/Supi73iseydVENf4PKoTYxQcaWPfpsQKyaF/uQ2t0Ym/yura4Wc268AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d1f3597b6b32a442985adf2ca1011643825ed1a49d722407844daa8cfcf7316","last_reissued_at":"2026-05-18T02:00:56.124484Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:56.124484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.07690","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":"2026-05-18T02:00:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kAf+F/qz7RrH+TD8uLAZuwGv7ampMqR+KU5huPiix1/TAiZegwe9K4aDbUywiWD9mVGbvAuxe4lhIor8w2lpDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:02:44.769956Z"},"content_sha256":"ffe14e79038a89bad19ac64133ff7915421e5ddb47ef78de01e95a486bfbef41","schema_version":"1.0","event_id":"sha256:ffe14e79038a89bad19ac64133ff7915421e5ddb47ef78de01e95a486bfbef41"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:PUPTLF5WWMVEIKMFVXZMUEARMQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Invertible Orientation Scores of 3D Images","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV"],"primary_cat":"math.NA","authors_text":"Marcel Breeuwer, Michiel Janssen, Remco Duits","submitted_at":"2015-05-28T13:52:41Z","abstract_excerpt":"The enhancement and detection of elongated structures in noisy image data is relevant for many biomedical applications. To handle complex crossing structures in 2D images, 2D orientation scores were introduced, which already showed their use in a variety of applications. Here we extend this work to 3D orientation scores. First, we construct the orientation score from a given dataset, which is achieved by an invertible coherent state type of transform. For this transformation we introduce 3D versions of the 2D cake-wavelets, which are complex wavelets that can simultaneously detect oriented str"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07690","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":"2026-05-18T02:00:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YPiqOMpgiPwaJnmIuN4BULisn3icQlZ+d5eTg8USvAsdAnpCUbBGSRIVSRI2azNO6sp3keDgAjDkSgOBY9tHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:02:44.770618Z"},"content_sha256":"dfcf19e9cfe3d2eeb3f4552864bf41147a407767d2fb450b6789243b29dcabba","schema_version":"1.0","event_id":"sha256:dfcf19e9cfe3d2eeb3f4552864bf41147a407767d2fb450b6789243b29dcabba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PUPTLF5WWMVEIKMFVXZMUEARMQ/bundle.json","state_url":"https://pith.science/pith/PUPTLF5WWMVEIKMFVXZMUEARMQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PUPTLF5WWMVEIKMFVXZMUEARMQ/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":"2026-05-31T15:02:44Z","links":{"resolver":"https://pith.science/pith/PUPTLF5WWMVEIKMFVXZMUEARMQ","bundle":"https://pith.science/pith/PUPTLF5WWMVEIKMFVXZMUEARMQ/bundle.json","state":"https://pith.science/pith/PUPTLF5WWMVEIKMFVXZMUEARMQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PUPTLF5WWMVEIKMFVXZMUEARMQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PUPTLF5WWMVEIKMFVXZMUEARMQ","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":"aba2cdc5949d116a87b867b50d029360b5f13335d7b367a6e6a4d9e24212a3f8","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-28T13:52:41Z","title_canon_sha256":"f196887c7cd7053dc8288ea1025ae349f1f527c52e5c340002cc772057c703a3"},"schema_version":"1.0","source":{"id":"1505.07690","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07690","created_at":"2026-05-18T02:00:56Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07690v1","created_at":"2026-05-18T02:00:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07690","created_at":"2026-05-18T02:00:56Z"},{"alias_kind":"pith_short_12","alias_value":"PUPTLF5WWMVE","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PUPTLF5WWMVEIKMF","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PUPTLF5W","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:dfcf19e9cfe3d2eeb3f4552864bf41147a407767d2fb450b6789243b29dcabba","target":"graph","created_at":"2026-05-18T02:00:56Z","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":"The enhancement and detection of elongated structures in noisy image data is relevant for many biomedical applications. To handle complex crossing structures in 2D images, 2D orientation scores were introduced, which already showed their use in a variety of applications. Here we extend this work to 3D orientation scores. First, we construct the orientation score from a given dataset, which is achieved by an invertible coherent state type of transform. For this transformation we introduce 3D versions of the 2D cake-wavelets, which are complex wavelets that can simultaneously detect oriented str","authors_text":"Marcel Breeuwer, Michiel Janssen, Remco Duits","cross_cats":["cs.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-28T13:52:41Z","title":"Invertible Orientation Scores of 3D Images"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07690","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:ffe14e79038a89bad19ac64133ff7915421e5ddb47ef78de01e95a486bfbef41","target":"record","created_at":"2026-05-18T02:00:56Z","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":"aba2cdc5949d116a87b867b50d029360b5f13335d7b367a6e6a4d9e24212a3f8","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-28T13:52:41Z","title_canon_sha256":"f196887c7cd7053dc8288ea1025ae349f1f527c52e5c340002cc772057c703a3"},"schema_version":"1.0","source":{"id":"1505.07690","kind":"arxiv","version":1}},"canonical_sha256":"7d1f3597b6b32a442985adf2ca1011643825ed1a49d722407844daa8cfcf7316","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d1f3597b6b32a442985adf2ca1011643825ed1a49d722407844daa8cfcf7316","first_computed_at":"2026-05-18T02:00:56.124484Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:56.124484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DPBK2AHSl9A+UZ89ZdZAa5fMoA3kD/Supi73iseydVENf4PKoTYxQcaWPfpsQKyaF/uQ2t0Ym/yura4Wc268AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:56.125265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.07690","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffe14e79038a89bad19ac64133ff7915421e5ddb47ef78de01e95a486bfbef41","sha256:dfcf19e9cfe3d2eeb3f4552864bf41147a407767d2fb450b6789243b29dcabba"],"state_sha256":"88e3267e1568b0ef7924089e6bc78ae6225d23178f23e996c0436721dd596749"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"auJruCTF189W+gF3Qmmu2lg0P0Bz7xtcQiqUOe/maoQDuXJM8govMJMerIT3Gkw3nheNf9IluykvLD7G8XETCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T15:02:44.774381Z","bundle_sha256":"65daf41ff5485d6531bdf5ead11fa557adde22924080d36d7e33704195025a30"}}