{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3T4HCI3ZEFLI47NMI3F7WKNWFU","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":"a6a0dadf6d8a14fa54c805b8143925d683d8390e712bda4a0d86989d4a2eb980","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-24T06:41:03Z","title_canon_sha256":"cc125e3e9e6016fc4789dbcf6b1ae64281c73e0f3dd4e5be379be37f00599048"},"schema_version":"1.0","source":{"id":"1605.07312","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.07312","created_at":"2026-05-18T00:16:14Z"},{"alias_kind":"arxiv_version","alias_value":"1605.07312v1","created_at":"2026-05-18T00:16:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07312","created_at":"2026-05-18T00:16:14Z"},{"alias_kind":"pith_short_12","alias_value":"3T4HCI3ZEFLI","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3T4HCI3ZEFLI47NM","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3T4HCI3Z","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:13c901b416804653baee15da5ee76ad2d9ac8f8ce1d783ba24c7ad0807e6d17b","target":"graph","created_at":"2026-05-18T00:16:14Z","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":"The representation of discrete, compact wavelet transformations (WTs) as circuits of local unitary gates is discussed. We employ a similar formalism as used in the multi-scale representation of quantum many-body wavefunctions using unitary circuits, further cementing the relation established in [Phys. Rev. Lett. 116, 140403 (2016)] between classical and quantum multi-scale methods. An algorithm for constructing the circuit representation of known orthogonal, dyadic, discrete WTs is presented, and the explicit representation for Daubechies wavelets, coiflets, and symlets is provided. Furthermor","authors_text":"Glen Evenbly, Steven R. White","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-24T06:41:03Z","title":"Representation and design of wavelets using unitary circuits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07312","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":"sha256:53c67d494921efc30db742066ff705b1fb7cffe4d20a599b7d118506abe80c92","target":"record","created_at":"2026-05-18T00:16:14Z","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":"a6a0dadf6d8a14fa54c805b8143925d683d8390e712bda4a0d86989d4a2eb980","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-24T06:41:03Z","title_canon_sha256":"cc125e3e9e6016fc4789dbcf6b1ae64281c73e0f3dd4e5be379be37f00599048"},"schema_version":"1.0","source":{"id":"1605.07312","kind":"arxiv","version":1}},"canonical_sha256":"dcf871237921568e7dac46cbfb29b62d07319bd7366365cb9a28e6361cb4a2b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dcf871237921568e7dac46cbfb29b62d07319bd7366365cb9a28e6361cb4a2b0","first_computed_at":"2026-05-18T00:16:14.856201Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:14.856201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c55ObTLJh4Ql2LvrtKYb/6NTKmMt5LPY6zWsd6wA/rrMwhDizLyHRdiQC7rkSCD9XhMZ1qzr2y420uXToM+TDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:14.856766Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.07312","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53c67d494921efc30db742066ff705b1fb7cffe4d20a599b7d118506abe80c92","sha256:13c901b416804653baee15da5ee76ad2d9ac8f8ce1d783ba24c7ad0807e6d17b"],"state_sha256":"0380baf8f79c1ca5a2cf14553b6fd000c6c2abd54120838904f49ef023a178f6"}