{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GZT5JGFCIEWHEUGMDPYWSI7IX5","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":"e1b48b9332cc481c8e6ced7215bdb7013d21f808522412907c6bb64837c1e0e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2025-06-05T17:26:48Z","title_canon_sha256":"a82f2f3c3d72be9809da59af4a32c38570a2a4f24ab80d143bfa6883fc78b407"},"schema_version":"1.0","source":{"id":"2506.05268","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.05268","created_at":"2026-07-05T11:20:55Z"},{"alias_kind":"arxiv_version","alias_value":"2506.05268v2","created_at":"2026-07-05T11:20:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.05268","created_at":"2026-07-05T11:20:55Z"},{"alias_kind":"pith_short_12","alias_value":"GZT5JGFCIEWH","created_at":"2026-07-05T11:20:55Z"},{"alias_kind":"pith_short_16","alias_value":"GZT5JGFCIEWHEUGM","created_at":"2026-07-05T11:20:55Z"},{"alias_kind":"pith_short_8","alias_value":"GZT5JGFC","created_at":"2026-07-05T11:20:55Z"}],"graph_snapshots":[{"event_id":"sha256:5bc80194d682a4a00a462642871f4a2367c7d8a0645b8e1a5b1bb24ba48df9bb","target":"graph","created_at":"2026-07-05T11:20:55Z","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/2506.05268/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Randomly sampling points on surfaces is an essential operation in geometry processing. This sampling is computationally straightforward on explicit meshes, but it is much more difficult on other shape representations, such as widely-used implicit surfaces. This work studies a simple and general scheme for sampling points on a surface, which is derived from a connection to the intersections of random rays with the surface. Concretely, given a subroutine to cast a ray against a surface and find all intersections, we can use that subroutine to uniformly sample white noise points on the surface. T","authors_text":"Abhishek Madan, Alec Jacobson, Nicholas Sharp, Selena Ling","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2025-06-05T17:26:48Z","title":"Uniform Sampling of Surfaces by Casting Rays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.05268","kind":"arxiv","version":2},"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":"sha256:0fbf47df752d263ab94b143b6f69fda0b5ab58f1fd0e5f7ee381dc18113674d8","target":"record","created_at":"2026-07-05T11:20:55Z","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":"e1b48b9332cc481c8e6ced7215bdb7013d21f808522412907c6bb64837c1e0e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2025-06-05T17:26:48Z","title_canon_sha256":"a82f2f3c3d72be9809da59af4a32c38570a2a4f24ab80d143bfa6883fc78b407"},"schema_version":"1.0","source":{"id":"2506.05268","kind":"arxiv","version":2}},"canonical_sha256":"3667d498a2412c7250cc1bf16923e8bf40c02569e2dffeb0b2641a773456bd6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3667d498a2412c7250cc1bf16923e8bf40c02569e2dffeb0b2641a773456bd6d","first_computed_at":"2026-07-05T11:20:55.043403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:20:55.043403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ck+OLDQ30d67mhE15+KPsVVBBNHsCBp8qmVWpYBsmboazMUVtIMziRhMm/bQ/zD2p+NdQCg5WkkB0wceTSzqCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:20:55.043898Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.05268","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0fbf47df752d263ab94b143b6f69fda0b5ab58f1fd0e5f7ee381dc18113674d8","sha256:5bc80194d682a4a00a462642871f4a2367c7d8a0645b8e1a5b1bb24ba48df9bb"],"state_sha256":"a847d6aef5383a9f234b8505dbdd8da808c4cdcff1f2bcbda71d2f7893d26ea3"}