{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:GFGYWN7KTRCWUU4G5GTSTGAVLB","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":"9e06a33b75239202f738eadceaf99b73f7db611b195c24082b2cd692f5c99242","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2013-08-30T03:48:27Z","title_canon_sha256":"78fd220f4df3f274a0e8bdca2e4ff56fcce4468cf8659800f3e16075c542eaf2"},"schema_version":"1.0","source":{"id":"1308.6646","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6646","created_at":"2026-05-18T03:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6646v1","created_at":"2026-05-18T03:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6646","created_at":"2026-05-18T03:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"GFGYWN7KTRCW","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GFGYWN7KTRCWUU4G","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GFGYWN7K","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:a4551c65838a6791b76d5d4acdeb3a7fbd709ea2b46bca28f307470803df48af","target":"graph","created_at":"2026-05-18T03:14:38Z","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":"Two-direction multiscaling functions $\\boldsymbol{\\phi}$ and two-direction multiwavelets $\\boldsymbol{\\psi}$ associated with $\\boldsymbol{\\phi}$ are more general and more flexible setting than one-direction multiscaling functions and multiwavelets. In this paper, we investigate how to find and normalize point values and those of derivatives of the two-direction multiscaling functions $\\boldsymbol{\\phi}$ and multiwavelets $\\boldsymbol{\\psi}$. %associated with $\\boldsymbol{\\phi}$. For finding point values, we investigate the eigenvalue approach. For normalization, we investigate the normalizing ","authors_text":"Fritz Keinert, Soon-Geol Kwon","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2013-08-30T03:48:27Z","title":"Point values and normalization of two-direction multiwavelets and their derivatives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6646","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":"sha256:44ae811d2c70e1c99f8c0ba17bc771369b00ef357dbac2371b69c9a09a2ccd0b","target":"record","created_at":"2026-05-18T03:14:38Z","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":"9e06a33b75239202f738eadceaf99b73f7db611b195c24082b2cd692f5c99242","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2013-08-30T03:48:27Z","title_canon_sha256":"78fd220f4df3f274a0e8bdca2e4ff56fcce4468cf8659800f3e16075c542eaf2"},"schema_version":"1.0","source":{"id":"1308.6646","kind":"arxiv","version":1}},"canonical_sha256":"314d8b37ea9c456a5386e9a729981558608212f566801ad9c96491a66f676dae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"314d8b37ea9c456a5386e9a729981558608212f566801ad9c96491a66f676dae","first_computed_at":"2026-05-18T03:14:38.521886Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:38.521886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9lr1iy40E3LugVFRp1yT5BD2Wqrv33BYqBQnxohoLw+rWvf//OOejZJYrYuWbytoq/7PWvjtFkMXxhdEqCRiCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:38.522544Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.6646","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44ae811d2c70e1c99f8c0ba17bc771369b00ef357dbac2371b69c9a09a2ccd0b","sha256:a4551c65838a6791b76d5d4acdeb3a7fbd709ea2b46bca28f307470803df48af"],"state_sha256":"b09c305edf8e04b95f391b93b4781e7cfcdd71e37cffecffc37155e7935f2d9c"}