{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VRXVIG7ZDB53SMI4526QBBOFER","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":"74853c88a4b432f1411f3bba1eabfbf61472ebb959269d15fac71b4597ccf0b2","cross_cats_sorted":["cs.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2026-05-18T23:58:02Z","title_canon_sha256":"00a89cf32a8476d2f5422cf1deae27c49511fc9c1d5e5ed64c292313009d6bfb"},"schema_version":"1.0","source":{"id":"2605.19200","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.19200","created_at":"2026-05-20T01:05:33Z"},{"alias_kind":"arxiv_version","alias_value":"2605.19200v1","created_at":"2026-05-20T01:05:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.19200","created_at":"2026-05-20T01:05:33Z"},{"alias_kind":"pith_short_12","alias_value":"VRXVIG7ZDB53","created_at":"2026-05-20T01:05:33Z"},{"alias_kind":"pith_short_16","alias_value":"VRXVIG7ZDB53SMI4","created_at":"2026-05-20T01:05:33Z"},{"alias_kind":"pith_short_8","alias_value":"VRXVIG7Z","created_at":"2026-05-20T01:05:33Z"}],"graph_snapshots":[{"event_id":"sha256:b10b2806244cbaa480a13e419b01810707bfdba688af9407e05d3a6841f1c634","target":"graph","created_at":"2026-05-20T01:05:33Z","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/2605.19200/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The generalized winding number (GWN) is a scalar field that supports robust containment queries on curved geometry, including non-watertight, overlapping, and nested boundary representations. While queries can be easily parallelized over samples, direct evaluation on parametric curves and surfaces remains costly for large and complex models. Fast, state-of-the-art GWN approaches leverage a spatial index to approximate the GWN, typically coupled with a Taylor expansion which approximates the GWN contribution for far clusters of geometric primitives. However, such methods operate only on discret","authors_text":"Brad Whitlock, Jacob Spainhour, Kenneth Weiss","cross_cats":["cs.CG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2026-05-18T23:58:02Z","title":"Spatially Accelerated Winding Numbers for Curved Geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.19200","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:e2726be979b9a2221dd4405d7ea69ab1668ce4c2b6ac0652f8b0cd744e695a5b","target":"record","created_at":"2026-05-20T01:05:33Z","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":"74853c88a4b432f1411f3bba1eabfbf61472ebb959269d15fac71b4597ccf0b2","cross_cats_sorted":["cs.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2026-05-18T23:58:02Z","title_canon_sha256":"00a89cf32a8476d2f5422cf1deae27c49511fc9c1d5e5ed64c292313009d6bfb"},"schema_version":"1.0","source":{"id":"2605.19200","kind":"arxiv","version":1}},"canonical_sha256":"ac6f541bf9187bb9311ceebd0085c5247a655d620be2b926d8d25a2f4880da02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac6f541bf9187bb9311ceebd0085c5247a655d620be2b926d8d25a2f4880da02","first_computed_at":"2026-05-20T01:05:33.281894Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T01:05:33.281894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jTYxIjKPpWRTszXpnWZBQ3L6KIQm4et2i1FMc6DPUXC4Eyq9j+ZqYLg4+jL1DhW36KnAC9AUhrZ9XBY0fFZ/BQ==","signature_status":"signed_v1","signed_at":"2026-05-20T01:05:33.282593Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.19200","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2726be979b9a2221dd4405d7ea69ab1668ce4c2b6ac0652f8b0cd744e695a5b","sha256:b10b2806244cbaa480a13e419b01810707bfdba688af9407e05d3a6841f1c634"],"state_sha256":"aae7d19181748ad61e8d61381df33bf3f5007120d9e30614d88e6df9f482df87"}