{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:QKPDE3EZBY6FC2MZYEL2DXJTWI","short_pith_number":"pith:QKPDE3EZ","canonical_record":{"source":{"id":"1011.4615","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2010-11-20T21:32:36Z","cross_cats_sorted":[],"title_canon_sha256":"364066166c1a3ea03076360e66b3814c7907446e1e2be191282f05b56d5464c3","abstract_canon_sha256":"50942592823e4bebb1ec0bb85e5b7e360527e086b4529f1bf8c7f62737bfcaa0"},"schema_version":"1.0"},"canonical_sha256":"829e326c990e3c516999c117a1dd33b21281d3225d773eff14e78d682561e22f","source":{"kind":"arxiv","id":"1011.4615","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:QKPDE3EZBY6FC2MZYEL2DXJTWI","target":"record","payload":{"canonical_record":{"source":{"id":"1011.4615","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2010-11-20T21:32:36Z","cross_cats_sorted":[],"title_canon_sha256":"364066166c1a3ea03076360e66b3814c7907446e1e2be191282f05b56d5464c3","abstract_canon_sha256":"50942592823e4bebb1ec0bb85e5b7e360527e086b4529f1bf8c7f62737bfcaa0"},"schema_version":"1.0"},"canonical_sha256":"829e326c990e3c516999c117a1dd33b21281d3225d773eff14e78d682561e22f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:42.990838Z","signature_b64":"IF2DBAnrcRncou8ntN/btX31+Xhl05qeUKVrIig8rEFKAfduI9AzYEdSWIsROIfq2AuNlCWTJiuun9HnZh1aAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"829e326c990e3c516999c117a1dd33b21281d3225d773eff14e78d682561e22f","last_reissued_at":"2026-05-18T02:04:42.990251Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:42.990251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.4615","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dAuq2YmGQGpFh6jbNcosDQ31k8jl1D2+vXxk1EKSkC+o/q81Ks8MZZNcVG+Xp5EozWKBxGwhjSy66IXoTyMuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:24:56.849579Z"},"content_sha256":"edd67d71a3cbbeb0cd94e36823f05c0e61721573e2ca692856544ee6e7f2d296","schema_version":"1.0","event_id":"sha256:edd67d71a3cbbeb0cd94e36823f05c0e61721573e2ca692856544ee6e7f2d296"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:QKPDE3EZBY6FC2MZYEL2DXJTWI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Tree-Based Wavelet Transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Idan Ram, Israel Cohen, Michael Elad","submitted_at":"2010-11-20T21:32:36Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4615","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uC82rPLxpDaYt4luCVI4jkfXkJ4Vm+qYXbCPA/nUvvQ5wEA5fYkfRGFi7rA4n++QpG5SOrgVuufUqoqkS9jdCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:24:56.849944Z"},"content_sha256":"5a0e6eabc221c26f3528a2595c953c5aa983b9f41db4f40c06263229cfc7569a","schema_version":"1.0","event_id":"sha256:5a0e6eabc221c26f3528a2595c953c5aa983b9f41db4f40c06263229cfc7569a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QKPDE3EZBY6FC2MZYEL2DXJTWI/bundle.json","state_url":"https://pith.science/pith/QKPDE3EZBY6FC2MZYEL2DXJTWI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QKPDE3EZBY6FC2MZYEL2DXJTWI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T13:24:56Z","links":{"resolver":"https://pith.science/pith/QKPDE3EZBY6FC2MZYEL2DXJTWI","bundle":"https://pith.science/pith/QKPDE3EZBY6FC2MZYEL2DXJTWI/bundle.json","state":"https://pith.science/pith/QKPDE3EZBY6FC2MZYEL2DXJTWI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QKPDE3EZBY6FC2MZYEL2DXJTWI/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vJ3fCHmvBxF3v5YTarR7MWsd2g8rpIO1NBSWvIPrnJsiT4a7xdLtXuPm6QJIPHQRoev7G+BlJ0MMX9et/Em9DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T13:24:56.852025Z","bundle_sha256":"cae7e5e7bda2db1d57066a8ab90c917445e8c8644da50f8e52521fd6379c2aa8"}}