{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MJJXCJCWDRCIXLYOO5TVJC4GNY","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":"bf49c219b231a3d517b25d9616ddfd8e95621e6127e9d10248e813f0e6f6a452","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2026-06-03T12:26:52Z","title_canon_sha256":"7dd7388953937f0608de66f8b64df8db5a3f8408b1a00eec948ab1c596f3d817"},"schema_version":"1.0","source":{"id":"2606.04801","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.04801","created_at":"2026-06-04T01:09:30Z"},{"alias_kind":"arxiv_version","alias_value":"2606.04801v1","created_at":"2026-06-04T01:09:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.04801","created_at":"2026-06-04T01:09:30Z"},{"alias_kind":"pith_short_12","alias_value":"MJJXCJCWDRCI","created_at":"2026-06-04T01:09:30Z"},{"alias_kind":"pith_short_16","alias_value":"MJJXCJCWDRCIXLYO","created_at":"2026-06-04T01:09:30Z"},{"alias_kind":"pith_short_8","alias_value":"MJJXCJCW","created_at":"2026-06-04T01:09:30Z"}],"graph_snapshots":[{"event_id":"sha256:76cce8a71d74ebace71b002d13ce6dd18970972017120cb119c56fe11b89e76c","target":"graph","created_at":"2026-06-04T01:09:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.04801/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present Flash Cubical, a highly efficient computation of cubical persistence on a V-filtration for 2D and 3D images over $\\mathbb{F}_2$. The implementation is built around three core ideas. First, cubical complexes satisfy properties that allow for the computation of persistence of the highest dimension via union-find and duality. Second, pruning of certain edges allows for a fast and efficient implementation of union-find. Third, the use of a lookup table, which exploits the regularity of cubical complexes to pre-compute local information. This avoids the need to compute local information ","authors_text":"Karol Szustakowski, Marie Piraud, Titouan Le Breton","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2026-06-03T12:26:52Z","title":"Fast Cubical Persistent Homology on 2D and 3D Images via Union-Find, Pruning, and Lookup Tables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.04801","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:b14e8659a472f02175b22ff9a7e9354c87615321ad4eac5d536f7ded8fcb6001","target":"record","created_at":"2026-06-04T01:09:30Z","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":"bf49c219b231a3d517b25d9616ddfd8e95621e6127e9d10248e813f0e6f6a452","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2026-06-03T12:26:52Z","title_canon_sha256":"7dd7388953937f0608de66f8b64df8db5a3f8408b1a00eec948ab1c596f3d817"},"schema_version":"1.0","source":{"id":"2606.04801","kind":"arxiv","version":1}},"canonical_sha256":"62537124561c448baf0e7767548b866e13bc72b2b9408f321f672af5534f4078","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62537124561c448baf0e7767548b866e13bc72b2b9408f321f672af5534f4078","first_computed_at":"2026-06-04T01:09:30.606280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T01:09:30.606280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nDf4lXIOACDlArZlofNj8gwvH+RPXiYWnMxzZT7H3iItKgLyOERC/9/HfeFpxIZaU68UO9VXOzyXgMdcWRdwDA==","signature_status":"signed_v1","signed_at":"2026-06-04T01:09:30.606715Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.04801","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b14e8659a472f02175b22ff9a7e9354c87615321ad4eac5d536f7ded8fcb6001","sha256:76cce8a71d74ebace71b002d13ce6dd18970972017120cb119c56fe11b89e76c"],"state_sha256":"be204ba09423710ddfab166464efda91f8d9f5eaed67387400867343efe85d98"}