{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:BZEO2E3V3UAGWIS3I5M3YY5H35","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":"0369714e75f436491ec471d1d82a51ef7dcfed262015b25dcebb5ca9bad29aa9","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-12-09T23:45:24Z","title_canon_sha256":"e7f4dfa6215f20a08459558ab1c58837dcd3181b70d9bee1afaf95803a6a6a15"},"schema_version":"1.0","source":{"id":"2012.05371","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.05371","created_at":"2026-07-05T03:08:43Z"},{"alias_kind":"arxiv_version","alias_value":"2012.05371v2","created_at":"2026-07-05T03:08:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.05371","created_at":"2026-07-05T03:08:43Z"},{"alias_kind":"pith_short_12","alias_value":"BZEO2E3V3UAG","created_at":"2026-07-05T03:08:43Z"},{"alias_kind":"pith_short_16","alias_value":"BZEO2E3V3UAGWIS3","created_at":"2026-07-05T03:08:43Z"},{"alias_kind":"pith_short_8","alias_value":"BZEO2E3V","created_at":"2026-07-05T03:08:43Z"}],"graph_snapshots":[{"event_id":"sha256:38d64ccc6e87ae17d7041a4b836eac87e1b1fb40908f0644a981747c79f3e33d","target":"graph","created_at":"2026-07-05T03:08:43Z","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/2012.05371/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"(Bi)orthogonal (multi)wavelets on the real line have been extensively studied and employed in applications with success. A lot of problems in applications are defined on bounded intervals or domains. Therefore, it is important in both theory and application to construct all possible wavelets on intervals with some desired properties from (bi)orthogonal (multi)wavelets on the real line. Vanishing moments of compactly supported wavelets are the key property for sparse wavelet representations and are closely linked to polynomial reproduction of their underlying refinable (vector) functions. Bound","authors_text":"Bin Han, Michelle Michelle","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-12-09T23:45:24Z","title":"Wavelets on Intervals Derived from Arbitrary Compactly Supported Biorthogonal Multiwavelets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.05371","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:edf0633d7869d46ddf779af4accb326adfdfa682c2f31d46ea882cf786856fd4","target":"record","created_at":"2026-07-05T03:08:43Z","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":"0369714e75f436491ec471d1d82a51ef7dcfed262015b25dcebb5ca9bad29aa9","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-12-09T23:45:24Z","title_canon_sha256":"e7f4dfa6215f20a08459558ab1c58837dcd3181b70d9bee1afaf95803a6a6a15"},"schema_version":"1.0","source":{"id":"2012.05371","kind":"arxiv","version":2}},"canonical_sha256":"0e48ed1375dd006b225b4759bc63a7df77dc0791ef3fa22f426e3aaf9f6f7f43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e48ed1375dd006b225b4759bc63a7df77dc0791ef3fa22f426e3aaf9f6f7f43","first_computed_at":"2026-07-05T03:08:43.376307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:08:43.376307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/hf9Kp475uaUgbVOmvkXDb2iKkI4X4qMfA2Aqz7yjo1KkYHckatQ/py4wZ9IV60euypcv8ivAOvD6AQ35H1jAg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:08:43.376753Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.05371","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edf0633d7869d46ddf779af4accb326adfdfa682c2f31d46ea882cf786856fd4","sha256:38d64ccc6e87ae17d7041a4b836eac87e1b1fb40908f0644a981747c79f3e33d"],"state_sha256":"c0e0a6e48c4c7e161208d963040b288a02fb42bf18373b825406121ad905113f"}