{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QKPDE3EZBY6FC2MZYEL2DXJTWI","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":"50942592823e4bebb1ec0bb85e5b7e360527e086b4529f1bf8c7f62737bfcaa0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2010-11-20T21:32:36Z","title_canon_sha256":"364066166c1a3ea03076360e66b3814c7907446e1e2be191282f05b56d5464c3"},"schema_version":"1.0","source":{"id":"1011.4615","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4615","created_at":"2026-05-18T02:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4615v2","created_at":"2026-05-18T02:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4615","created_at":"2026-05-18T02:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"QKPDE3EZBY6F","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QKPDE3EZBY6FC2MZ","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QKPDE3EZ","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:5a0e6eabc221c26f3528a2595c953c5aa983b9f41db4f40c06263229cfc7569a","target":"graph","created_at":"2026-05-18T02:04:42Z","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 we propose a new wavelet transform applicable to functions defined on graphs, high dimensional data and networks. The proposed method generalizes the Haar-like transform proposed in [1], and it is defined via a hierarchical tree, which is assumed to capture the geometry and structure of the input data. It is applied to the data using a modified version of the common one-dimensional (1D) wavelet filtering and decimation scheme, which can employ different wavelet filters. In each level of this wavelet decomposition scheme, a permutation derived from the tree is applied to the appro","authors_text":"Idan Ram, Israel Cohen, Michael Elad","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2010-11-20T21:32:36Z","title":"Generalized Tree-Based Wavelet Transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4615","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:edd67d71a3cbbeb0cd94e36823f05c0e61721573e2ca692856544ee6e7f2d296","target":"record","created_at":"2026-05-18T02:04:42Z","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":"50942592823e4bebb1ec0bb85e5b7e360527e086b4529f1bf8c7f62737bfcaa0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2010-11-20T21:32:36Z","title_canon_sha256":"364066166c1a3ea03076360e66b3814c7907446e1e2be191282f05b56d5464c3"},"schema_version":"1.0","source":{"id":"1011.4615","kind":"arxiv","version":2}},"canonical_sha256":"829e326c990e3c516999c117a1dd33b21281d3225d773eff14e78d682561e22f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"829e326c990e3c516999c117a1dd33b21281d3225d773eff14e78d682561e22f","first_computed_at":"2026-05-18T02:04:42.990251Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:42.990251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IF2DBAnrcRncou8ntN/btX31+Xhl05qeUKVrIig8rEFKAfduI9AzYEdSWIsROIfq2AuNlCWTJiuun9HnZh1aAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:42.990838Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.4615","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edd67d71a3cbbeb0cd94e36823f05c0e61721573e2ca692856544ee6e7f2d296","sha256:5a0e6eabc221c26f3528a2595c953c5aa983b9f41db4f40c06263229cfc7569a"],"state_sha256":"dd107c254242af24f58a6827adeb89fd356bcba84d4125b8a051a5c91ff1f1a4"}