{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3AEP3K4KDTX5TD3ENRO7X5F7FM","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":"36cbfbabfd666a5627a43d0c3e67aa96d892f5bb6fd247f1899a8ffeeb1409d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-06-28T20:29:33Z","title_canon_sha256":"dc0ba2f8a31f60319016cf99841adc098c46e0aa2a8c62e7c048d4fe372fb5f2"},"schema_version":"1.0","source":{"id":"1506.08449","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.08449","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"arxiv_version","alias_value":"1506.08449v2","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08449","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"pith_short_12","alias_value":"3AEP3K4KDTX5","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3AEP3K4KDTX5TD3E","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3AEP3K4K","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:d7f17fa79a3e853a33b5555d0bf8064d869db4925a591e2fcab3a4d61028bac8","target":"graph","created_at":"2026-05-18T01:17:33Z","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"},"paper":{"abstract_excerpt":"We introduce an arbitrary order, computationally efficient method to smooth corners on curves in the plane, as well as edges and vertices on surfaces in $\\mathbb R^3$. The method is local, only modifying the original surface in a neighborhood of the geometric singularity, and preserves desirable features like convexity and symmetry. The smoothness of the final surface is an explicit parameter in the method, and the bandlimit of the smoothed surface is proportional to its smoothness. Several numerical examples are provided in the context of acoustic scattering. In particular, we compare scatter","authors_text":"Charles L. Epstein, Michael O'Neil","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-06-28T20:29:33Z","title":"Smoothed corners and scattered waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08449","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":"sha256:8c0528d72f72c9387bdefad230fa4471ebaa88952b88bfafa33b6ca7eafd2e68","target":"record","created_at":"2026-05-18T01:17:33Z","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":"36cbfbabfd666a5627a43d0c3e67aa96d892f5bb6fd247f1899a8ffeeb1409d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-06-28T20:29:33Z","title_canon_sha256":"dc0ba2f8a31f60319016cf99841adc098c46e0aa2a8c62e7c048d4fe372fb5f2"},"schema_version":"1.0","source":{"id":"1506.08449","kind":"arxiv","version":2}},"canonical_sha256":"d808fdab8a1cefd98f646c5dfbf4bf2b04ad3793b4605cbe75958735c7dde0ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d808fdab8a1cefd98f646c5dfbf4bf2b04ad3793b4605cbe75958735c7dde0ee","first_computed_at":"2026-05-18T01:17:33.085675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:33.085675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bgpc/EbI/DPpVq1Iou17TjPFw7XRwDw2zoUj676ksEbBwooFUb1WMLLElJRXKUNy1Br/HEZcgQipS2konMWfCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:33.086357Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.08449","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c0528d72f72c9387bdefad230fa4471ebaa88952b88bfafa33b6ca7eafd2e68","sha256:d7f17fa79a3e853a33b5555d0bf8064d869db4925a591e2fcab3a4d61028bac8"],"state_sha256":"2ab7ed0deab9a04c4756b0a1273e6d913a0f8bcb5f349538867e3bad5650df88"}