{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IRK2CM3GUWAPXR25UBB5742F5P","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":"6e48805432626925d677705ea0d8c70d455d2f964fb1b9590987fce67f86a38e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2012-05-16T19:11:51Z","title_canon_sha256":"6ce99e775ebd71522469d26b8007a9f821c48e8399df690acca4b1f3263785a2"},"schema_version":"1.0","source":{"id":"1205.3766","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3766","created_at":"2026-05-18T03:55:25Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3766v1","created_at":"2026-05-18T03:55:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3766","created_at":"2026-05-18T03:55:25Z"},{"alias_kind":"pith_short_12","alias_value":"IRK2CM3GUWAP","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IRK2CM3GUWAPXR25","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IRK2CM3G","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:e4265d7d458ce5266e3885af91baa224e02e1cacab3435d0dfcc6a66fbf86c8e","target":"graph","created_at":"2026-05-18T03:55:25Z","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":"Sampling from distributions of implicitly defined shapes enables analysis of various energy functionals used for image segmentation. Recent work describes a computationally efficient Metropolis-Hastings method for accomplishing this task. Here, we extend that framework so that samples are accepted at every iteration of the sampler, achieving an order of magnitude speed up in convergence. Additionally, we show how to incorporate topological constraints.","authors_text":"Jason Chang, John W. Fisher III","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2012-05-16T19:11:51Z","title":"Efficient Topology-Controlled Sampling of Implicit Shapes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3766","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:d4eb38f8a82c20c7b26202a4607a21bd2d1dd241ea3b9eadbd0f63e8b6dde778","target":"record","created_at":"2026-05-18T03:55:25Z","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":"6e48805432626925d677705ea0d8c70d455d2f964fb1b9590987fce67f86a38e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2012-05-16T19:11:51Z","title_canon_sha256":"6ce99e775ebd71522469d26b8007a9f821c48e8399df690acca4b1f3263785a2"},"schema_version":"1.0","source":{"id":"1205.3766","kind":"arxiv","version":1}},"canonical_sha256":"4455a13366a580fbc75da043dff345ebf2a7f023b00d90296c6905b65963a778","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4455a13366a580fbc75da043dff345ebf2a7f023b00d90296c6905b65963a778","first_computed_at":"2026-05-18T03:55:25.220010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:25.220010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s0WMyTQzN7kkADRSzdT9lX7FMQ3NHcAfM1db04gqiV4j6QAlw0jwaZ8dzqZFVqS15twoEAZvriKpsRAScaUZBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:25.220571Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.3766","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4eb38f8a82c20c7b26202a4607a21bd2d1dd241ea3b9eadbd0f63e8b6dde778","sha256:e4265d7d458ce5266e3885af91baa224e02e1cacab3435d0dfcc6a66fbf86c8e"],"state_sha256":"a6aed632dccf2af2ef6cc17b9ccb69ea07d1eee83916ceaa0e3298ca22e1ca64"}