{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:ZDHBA3LCWXXZUMXW5UTNNK32W7","short_pith_number":"pith:ZDHBA3LC","canonical_record":{"source":{"id":"cs/0609138","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.IT","submitted_at":"2006-09-25T12:12:25Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"277dc90589173e20f0ea2c16003d24288f99afbd404534a39c34586d4fbbc8da","abstract_canon_sha256":"df2864e32878707c2bd4ff82fee0f679eba69c07d42e6a7daaef701d0eb3a60b"},"schema_version":"1.0"},"canonical_sha256":"c8ce106d62b5ef9a32f6ed26d6ab7ab7d0d37f55f4b22b497d2d777d2b9f6c9a","source":{"kind":"arxiv","id":"cs/0609138","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0609138","created_at":"2026-05-18T00:58:56Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0609138v1","created_at":"2026-05-18T00:58:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0609138","created_at":"2026-05-18T00:58:56Z"},{"alias_kind":"pith_short_12","alias_value":"ZDHBA3LCWXXZ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"ZDHBA3LCWXXZUMXW","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"ZDHBA3LC","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:ZDHBA3LCWXXZUMXW5UTNNK32W7","target":"record","payload":{"canonical_record":{"source":{"id":"cs/0609138","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.IT","submitted_at":"2006-09-25T12:12:25Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"277dc90589173e20f0ea2c16003d24288f99afbd404534a39c34586d4fbbc8da","abstract_canon_sha256":"df2864e32878707c2bd4ff82fee0f679eba69c07d42e6a7daaef701d0eb3a60b"},"schema_version":"1.0"},"canonical_sha256":"c8ce106d62b5ef9a32f6ed26d6ab7ab7d0d37f55f4b22b497d2d777d2b9f6c9a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:56.227904Z","signature_b64":"KL4s5dGE5dvZMZqjzm7gM4v1j+jAn4X/ypUqagPaW6GHgr4gS58OlJui8QER0CY8WsvckJnMGTxwp6k+gvN/DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8ce106d62b5ef9a32f6ed26d6ab7ab7d0d37f55f4b22b497d2d777d2b9f6c9a","last_reissued_at":"2026-05-18T00:58:56.227383Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:56.227383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cs/0609138","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:58:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ELiEzJ+K9ROD+7c+TbkXT/IhGDRd7Un1cuxX8SxDxk9Fma+AoA3DApR156gbR6hA3xAM7/uXgw2YMv/GX648CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:38:42.854160Z"},"content_sha256":"2f558acb8ad18128397d4ba7f3e6fb505b56c926265b5007a4930ddc01c553af","schema_version":"1.0","event_id":"sha256:2f558acb8ad18128397d4ba7f3e6fb505b56c926265b5007a4930ddc01c553af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:ZDHBA3LCWXXZUMXW5UTNNK32W7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"MDL Denoising Revisited","license":"","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jorma Rissanen, Petri Myllym\\\"aki, Teemu Roos","submitted_at":"2006-09-25T12:12:25Z","abstract_excerpt":"We refine and extend an earlier MDL denoising criterion for wavelet-based denoising. We start by showing that the denoising problem can be reformulated as a clustering problem, where the goal is to obtain separate clusters for informative and non-informative wavelet coefficients, respectively. This suggests two refinements, adding a code-length for the model index, and extending the model in order to account for subband-dependent coefficient distributions. A third refinement is derivation of soft thresholding inspired by predictive universal coding with weighted mixtures. We propose a practica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0609138","kind":"arxiv","version":1},"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":"2026-05-18T00:58:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4+LWnVQzeZW4QLqCzvRccNamlHx5eekg3ivqvvaHv+dicbA2az5dFahgwY7SSEP2ZTxLOJ4D25V9U8tV8BOEBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:38:42.854856Z"},"content_sha256":"74d71a58d6b2d2ae478b296d7f57b4251b56231fd76c1c8954786a40a029f135","schema_version":"1.0","event_id":"sha256:74d71a58d6b2d2ae478b296d7f57b4251b56231fd76c1c8954786a40a029f135"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZDHBA3LCWXXZUMXW5UTNNK32W7/bundle.json","state_url":"https://pith.science/pith/ZDHBA3LCWXXZUMXW5UTNNK32W7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZDHBA3LCWXXZUMXW5UTNNK32W7/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":"2026-05-26T11:38:42Z","links":{"resolver":"https://pith.science/pith/ZDHBA3LCWXXZUMXW5UTNNK32W7","bundle":"https://pith.science/pith/ZDHBA3LCWXXZUMXW5UTNNK32W7/bundle.json","state":"https://pith.science/pith/ZDHBA3LCWXXZUMXW5UTNNK32W7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZDHBA3LCWXXZUMXW5UTNNK32W7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:ZDHBA3LCWXXZUMXW5UTNNK32W7","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":"df2864e32878707c2bd4ff82fee0f679eba69c07d42e6a7daaef701d0eb3a60b","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2006-09-25T12:12:25Z","title_canon_sha256":"277dc90589173e20f0ea2c16003d24288f99afbd404534a39c34586d4fbbc8da"},"schema_version":"1.0","source":{"id":"cs/0609138","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0609138","created_at":"2026-05-18T00:58:56Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0609138v1","created_at":"2026-05-18T00:58:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0609138","created_at":"2026-05-18T00:58:56Z"},{"alias_kind":"pith_short_12","alias_value":"ZDHBA3LCWXXZ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"ZDHBA3LCWXXZUMXW","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"ZDHBA3LC","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:74d71a58d6b2d2ae478b296d7f57b4251b56231fd76c1c8954786a40a029f135","target":"graph","created_at":"2026-05-18T00:58:56Z","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":"We refine and extend an earlier MDL denoising criterion for wavelet-based denoising. We start by showing that the denoising problem can be reformulated as a clustering problem, where the goal is to obtain separate clusters for informative and non-informative wavelet coefficients, respectively. This suggests two refinements, adding a code-length for the model index, and extending the model in order to account for subband-dependent coefficient distributions. A third refinement is derivation of soft thresholding inspired by predictive universal coding with weighted mixtures. We propose a practica","authors_text":"Jorma Rissanen, Petri Myllym\\\"aki, Teemu Roos","cross_cats":["math.IT"],"headline":"","license":"","primary_cat":"cs.IT","submitted_at":"2006-09-25T12:12:25Z","title":"MDL Denoising Revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0609138","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":"sha256:2f558acb8ad18128397d4ba7f3e6fb505b56c926265b5007a4930ddc01c553af","target":"record","created_at":"2026-05-18T00:58:56Z","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":"df2864e32878707c2bd4ff82fee0f679eba69c07d42e6a7daaef701d0eb3a60b","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2006-09-25T12:12:25Z","title_canon_sha256":"277dc90589173e20f0ea2c16003d24288f99afbd404534a39c34586d4fbbc8da"},"schema_version":"1.0","source":{"id":"cs/0609138","kind":"arxiv","version":1}},"canonical_sha256":"c8ce106d62b5ef9a32f6ed26d6ab7ab7d0d37f55f4b22b497d2d777d2b9f6c9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8ce106d62b5ef9a32f6ed26d6ab7ab7d0d37f55f4b22b497d2d777d2b9f6c9a","first_computed_at":"2026-05-18T00:58:56.227383Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:56.227383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KL4s5dGE5dvZMZqjzm7gM4v1j+jAn4X/ypUqagPaW6GHgr4gS58OlJui8QER0CY8WsvckJnMGTxwp6k+gvN/DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:56.227904Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0609138","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f558acb8ad18128397d4ba7f3e6fb505b56c926265b5007a4930ddc01c553af","sha256:74d71a58d6b2d2ae478b296d7f57b4251b56231fd76c1c8954786a40a029f135"],"state_sha256":"c4b16647169f8855562af52c05600bc71ddc6b9b46a10fad87d79d7271792da5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UV9nO/oycF8jlpVMvyai+f5MtBtDyvMs2YyqY1SjLbQfpe2by5zz/ifbr57CgoVvI+CWcDu4pu7eIML97+NHAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:38:42.858403Z","bundle_sha256":"e122505ebb3a6d6d93dbc9deac0cd63fb8fbef18c684e07bc763c3e13e67ee9c"}}