{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:KSJH7FXRV6S7JDP3FJYKAWWF7W","short_pith_number":"pith:KSJH7FXR","canonical_record":{"source":{"id":"1112.1496","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.CV","submitted_at":"2011-12-07T08:16:48Z","cross_cats_sorted":[],"title_canon_sha256":"662dcdcee9ad12afec12a72768b88c2583064fe5a57cb48097f666dabe94db79","abstract_canon_sha256":"95cf863811fa3bae0177a9469bbcf5e00d5c1e7d161efebe243d57bce4a921e1"},"schema_version":"1.0"},"canonical_sha256":"54927f96f1afa5f48dfb2a70a05ac5fda66fd6571a112c70bddee6b5295969c7","source":{"kind":"arxiv","id":"1112.1496","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1496","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1496v3","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1496","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"pith_short_12","alias_value":"KSJH7FXRV6S7","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"KSJH7FXRV6S7JDP3","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"KSJH7FXR","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:KSJH7FXRV6S7JDP3FJYKAWWF7W","target":"record","payload":{"canonical_record":{"source":{"id":"1112.1496","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.CV","submitted_at":"2011-12-07T08:16:48Z","cross_cats_sorted":[],"title_canon_sha256":"662dcdcee9ad12afec12a72768b88c2583064fe5a57cb48097f666dabe94db79","abstract_canon_sha256":"95cf863811fa3bae0177a9469bbcf5e00d5c1e7d161efebe243d57bce4a921e1"},"schema_version":"1.0"},"canonical_sha256":"54927f96f1afa5f48dfb2a70a05ac5fda66fd6571a112c70bddee6b5295969c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:11.844435Z","signature_b64":"I1sup8KYQDdv5HXqR6MOiyiaBbIsJY1K6GCQiZZIJWES9YnprJf5ZMl0JXd579PitwYkW10B33OJOw/awm/yDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54927f96f1afa5f48dfb2a70a05ac5fda66fd6571a112c70bddee6b5295969c7","last_reissued_at":"2026-05-18T03:49:11.843768Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:11.843768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.1496","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:49:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uFWS67l3vRT1nEu7jTrdfXU/3PccBlqId20yLnQxfBEJpiKDcXaPK+QhxIlWutb0YGHcR/m1h5g5W1APKTbsCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:31:04.190971Z"},"content_sha256":"2dade0856873e68efa12d87ab9a74a8b27daca11958e0f8b61a0b47207617084","schema_version":"1.0","event_id":"sha256:2dade0856873e68efa12d87ab9a74a8b27daca11958e0f8b61a0b47207617084"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:KSJH7FXRV6S7JDP3FJYKAWWF7W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Re-initialization Free Level Set Evolution via Reaction Diffusion","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"David Zhang, Huihui Song, Kaihua Zhang, Lei Zhang","submitted_at":"2011-12-07T08:16:48Z","abstract_excerpt":"This paper presents a novel reaction-diffusion (RD) method for implicit active contours, which is completely free of the costly re-initialization procedure in level set evolution (LSE). A diffusion term is introduced into LSE, resulting in a RD-LSE equation, to which a piecewise constant solution can be derived. In order to have a stable numerical solution of the RD based LSE, we propose a two-step splitting method (TSSM) to iteratively solve the RD-LSE equation: first iterating the LSE equation, and then solving the diffusion equation. The second step regularizes the level set function obtain"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1496","kind":"arxiv","version":3},"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":"2026-05-18T03:49:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jMOrMPASFQyxm4bO0sJ930okEJbZ7rigKeusndQzwWM2MnMDxkuWe5+CPKEdqnAGHi+0F8EkiLJKJwhymzsMDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:31:04.191616Z"},"content_sha256":"7db9783bddcf9105f89a55ae14e517349fcb015e8c02b71e824b67750a72f61b","schema_version":"1.0","event_id":"sha256:7db9783bddcf9105f89a55ae14e517349fcb015e8c02b71e824b67750a72f61b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KSJH7FXRV6S7JDP3FJYKAWWF7W/bundle.json","state_url":"https://pith.science/pith/KSJH7FXRV6S7JDP3FJYKAWWF7W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KSJH7FXRV6S7JDP3FJYKAWWF7W/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":"2026-05-31T01:31:04Z","links":{"resolver":"https://pith.science/pith/KSJH7FXRV6S7JDP3FJYKAWWF7W","bundle":"https://pith.science/pith/KSJH7FXRV6S7JDP3FJYKAWWF7W/bundle.json","state":"https://pith.science/pith/KSJH7FXRV6S7JDP3FJYKAWWF7W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KSJH7FXRV6S7JDP3FJYKAWWF7W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KSJH7FXRV6S7JDP3FJYKAWWF7W","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":"95cf863811fa3bae0177a9469bbcf5e00d5c1e7d161efebe243d57bce4a921e1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.CV","submitted_at":"2011-12-07T08:16:48Z","title_canon_sha256":"662dcdcee9ad12afec12a72768b88c2583064fe5a57cb48097f666dabe94db79"},"schema_version":"1.0","source":{"id":"1112.1496","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1496","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1496v3","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1496","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"pith_short_12","alias_value":"KSJH7FXRV6S7","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"KSJH7FXRV6S7JDP3","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"KSJH7FXR","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:7db9783bddcf9105f89a55ae14e517349fcb015e8c02b71e824b67750a72f61b","target":"graph","created_at":"2026-05-18T03:49:11Z","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":"This paper presents a novel reaction-diffusion (RD) method for implicit active contours, which is completely free of the costly re-initialization procedure in level set evolution (LSE). A diffusion term is introduced into LSE, resulting in a RD-LSE equation, to which a piecewise constant solution can be derived. In order to have a stable numerical solution of the RD based LSE, we propose a two-step splitting method (TSSM) to iteratively solve the RD-LSE equation: first iterating the LSE equation, and then solving the diffusion equation. The second step regularizes the level set function obtain","authors_text":"David Zhang, Huihui Song, Kaihua Zhang, Lei Zhang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.CV","submitted_at":"2011-12-07T08:16:48Z","title":"Re-initialization Free Level Set Evolution via Reaction Diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1496","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":"sha256:2dade0856873e68efa12d87ab9a74a8b27daca11958e0f8b61a0b47207617084","target":"record","created_at":"2026-05-18T03:49:11Z","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":"95cf863811fa3bae0177a9469bbcf5e00d5c1e7d161efebe243d57bce4a921e1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.CV","submitted_at":"2011-12-07T08:16:48Z","title_canon_sha256":"662dcdcee9ad12afec12a72768b88c2583064fe5a57cb48097f666dabe94db79"},"schema_version":"1.0","source":{"id":"1112.1496","kind":"arxiv","version":3}},"canonical_sha256":"54927f96f1afa5f48dfb2a70a05ac5fda66fd6571a112c70bddee6b5295969c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54927f96f1afa5f48dfb2a70a05ac5fda66fd6571a112c70bddee6b5295969c7","first_computed_at":"2026-05-18T03:49:11.843768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:11.843768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I1sup8KYQDdv5HXqR6MOiyiaBbIsJY1K6GCQiZZIJWES9YnprJf5ZMl0JXd579PitwYkW10B33OJOw/awm/yDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:11.844435Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1496","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2dade0856873e68efa12d87ab9a74a8b27daca11958e0f8b61a0b47207617084","sha256:7db9783bddcf9105f89a55ae14e517349fcb015e8c02b71e824b67750a72f61b"],"state_sha256":"9781885a50d68a3ee72514fef205df6d9fe31846d384cb2e3f35cf42466f599d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WBZyTelaa2CaPLz6hpqTMlpGhBdNya9sFUf3pjNDcABjlyPtDMJuThB9pUmPx/yOeIMpsiY7WkG7HcHJwD9IAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:31:04.195211Z","bundle_sha256":"c117e9eb2f6e76ff729f12c80d39127832202d68513ff9cef1a85b623b46ced2"}}