{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LNEBRUWIXCUWOHZKZJKCJBABSZ","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":"b2c75d9a6b83fc98d32c33be90f49b3b42a048af2dbdbd8cb1371b8c5f92ba79","cross_cats_sorted":["cs.CG","math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-04-25T18:50:19Z","title_canon_sha256":"104288d4e3139df2a5e99bf7898b4727b45d7812e0e5ec8dde6c772e47e6515f"},"schema_version":"1.0","source":{"id":"1604.07361","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07361","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07361v3","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07361","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"pith_short_12","alias_value":"LNEBRUWIXCUW","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LNEBRUWIXCUWOHZK","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LNEBRUWI","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:5886304d00920a45dda8ccbef6c57fbcd26f01f90cddb4052b75b9a3dad76c31","target":"graph","created_at":"2026-05-18T01:12:11Z","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":"A persistence lens is a hierarchy of disjoint upper and lower level sets of a continuous luminance image's Reeb graph. The boundary components of a persistence lens's interior components are Jordan curves that serve as a hierarchical segmentation of the image, and may be rendered as vector graphics. A persistence lens determines a varilet basis for the luminance image, in which image simplification is a realized by subspace projection. Image scale space, and image fractal analysis, result from applying a scale measure to each basis function.","authors_text":"Martin Brooks","cross_cats":["cs.CG","math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-04-25T18:50:19Z","title":"Persistence Lenses: Segmentation, Simplification, Vectorization, Scale Space and Fractal Analysis of Images"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07361","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":"sha256:3227ac4e26ecb2d9ed4b5f6f43693acb48e0dda0b5b0eedb015aa7fedca88574","target":"record","created_at":"2026-05-18T01:12:11Z","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":"b2c75d9a6b83fc98d32c33be90f49b3b42a048af2dbdbd8cb1371b8c5f92ba79","cross_cats_sorted":["cs.CG","math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-04-25T18:50:19Z","title_canon_sha256":"104288d4e3139df2a5e99bf7898b4727b45d7812e0e5ec8dde6c772e47e6515f"},"schema_version":"1.0","source":{"id":"1604.07361","kind":"arxiv","version":3}},"canonical_sha256":"5b4818d2c8b8a9671f2aca54248401967abda248c12360dc1b27aef4cde8f4c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b4818d2c8b8a9671f2aca54248401967abda248c12360dc1b27aef4cde8f4c3","first_computed_at":"2026-05-18T01:12:11.728468Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:11.728468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8jFgvWfcTdI2N6xj7JHpltB8B174M1Yqguacr/y+Yewub1skYsbApQMwHXGeCAdrVV+lxlqbNS8rcGd90gAcDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:11.729012Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.07361","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3227ac4e26ecb2d9ed4b5f6f43693acb48e0dda0b5b0eedb015aa7fedca88574","sha256:5886304d00920a45dda8ccbef6c57fbcd26f01f90cddb4052b75b9a3dad76c31"],"state_sha256":"e96afce9e41d6c6017d8a30a1b587e6b5fbaf5d5e75201892948fa75d3845a91"}