{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DLJZ7ZF7NOIHKUQUZB2HIUGL3U","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":"36382d49bfe0f12f0cc0e60e9f5aa1f6f6359ddca52dac5e117e6921c5cc1947","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-03T12:48:35Z","title_canon_sha256":"678470b07abe3151997b899fe5b632ee1b2326631f873f4307f9452db0725e79"},"schema_version":"1.0","source":{"id":"1801.00978","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00978","created_at":"2026-05-18T00:26:48Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00978v1","created_at":"2026-05-18T00:26:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00978","created_at":"2026-05-18T00:26:48Z"},{"alias_kind":"pith_short_12","alias_value":"DLJZ7ZF7NOIH","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DLJZ7ZF7NOIHKUQU","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DLJZ7ZF7","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:1f175b8e02c9aa4c0398cc8ce5e85be89c75155b99773c06124ba256b4986351","target":"graph","created_at":"2026-05-18T00:26:48Z","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":"In this paper, continuous piecewise quadratic finite element wavelets are constructed on general polygons in $\\mathbb{R}^2$. The wavelets are stable in $H^s$ for $|s|<\\frac{3}{2}$ and have two vanishing moments. Each wavelet is a linear combination of 11 or 13 nodal basis functions. Numerically computed condition numbers for $s \\in \\{-1,0,1\\}$ are provided for the unit square.","authors_text":"Nikolaos Rekatsinas, Rob Stevenson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-03T12:48:35Z","title":"A quadratic finite element wavelet Riesz basis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00978","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:e3963fa193e0734ec37441964bac05388465ecd9649b56d379512e7050a5a897","target":"record","created_at":"2026-05-18T00:26:48Z","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":"36382d49bfe0f12f0cc0e60e9f5aa1f6f6359ddca52dac5e117e6921c5cc1947","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-03T12:48:35Z","title_canon_sha256":"678470b07abe3151997b899fe5b632ee1b2326631f873f4307f9452db0725e79"},"schema_version":"1.0","source":{"id":"1801.00978","kind":"arxiv","version":1}},"canonical_sha256":"1ad39fe4bf6b90755214c8747450cbdd282299cb818cab1fd7ad5afef10c3ad8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ad39fe4bf6b90755214c8747450cbdd282299cb818cab1fd7ad5afef10c3ad8","first_computed_at":"2026-05-18T00:26:48.180036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:48.180036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4tsOdP7cLidBwwX8trIplTueyUfUVBMGR2dItrUaEnYZUUokT9YAMHp6BALIOAMNlRKVNBUghgpTOFF4YRrhDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:48.180861Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.00978","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3963fa193e0734ec37441964bac05388465ecd9649b56d379512e7050a5a897","sha256:1f175b8e02c9aa4c0398cc8ce5e85be89c75155b99773c06124ba256b4986351"],"state_sha256":"7c011849dd5e66a50f68e7f189ab37820b211ccabf2acb9a285f0ac33dacd119"}