{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:GU2MKY3TAGHJRFG3WFZMGESBHH","short_pith_number":"pith:GU2MKY3T","canonical_record":{"source":{"id":"1803.06902","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-19T13:15:50Z","cross_cats_sorted":[],"title_canon_sha256":"758e56b983dccdb6dccfd05270d09f89769ac273d2fc8baa7de85303954d33af","abstract_canon_sha256":"73ddb3e971cd0e02efe515d39ef09a14babaccb3d68be4ba000e8b0c1a0a1522"},"schema_version":"1.0"},"canonical_sha256":"3534c56373018e9894dbb172c3124139ff683128c65935d4226d64efd2af4164","source":{"kind":"arxiv","id":"1803.06902","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06902","created_at":"2026-05-18T00:20:40Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06902v1","created_at":"2026-05-18T00:20:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06902","created_at":"2026-05-18T00:20:40Z"},{"alias_kind":"pith_short_12","alias_value":"GU2MKY3TAGHJ","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GU2MKY3TAGHJRFG3","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GU2MKY3T","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:GU2MKY3TAGHJRFG3WFZMGESBHH","target":"record","payload":{"canonical_record":{"source":{"id":"1803.06902","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-19T13:15:50Z","cross_cats_sorted":[],"title_canon_sha256":"758e56b983dccdb6dccfd05270d09f89769ac273d2fc8baa7de85303954d33af","abstract_canon_sha256":"73ddb3e971cd0e02efe515d39ef09a14babaccb3d68be4ba000e8b0c1a0a1522"},"schema_version":"1.0"},"canonical_sha256":"3534c56373018e9894dbb172c3124139ff683128c65935d4226d64efd2af4164","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:40.959847Z","signature_b64":"macb+WsqA5DoJfO0owHkwPIIhErX+FezuO4bAQT3NXxeR4rE777JxE8POlWJIm4VGR7V5jpbhBD4PASKePRlCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3534c56373018e9894dbb172c3124139ff683128c65935d4226d64efd2af4164","last_reissued_at":"2026-05-18T00:20:40.959333Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:40.959333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.06902","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":"2026-05-18T00:20:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ip4ztbii+OQ0q8z7U/g+TUIwJg45vvrGIKKvodwTCm7dMNVDURxqnPHKJPjA7S8HSzhMJTrFMsZyvZSIVudzAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:04:27.564032Z"},"content_sha256":"fb56a29b14aef46d69d60333d5c043650557d886ddd4d1f66b6dd2cba4a36b26","schema_version":"1.0","event_id":"sha256:fb56a29b14aef46d69d60333d5c043650557d886ddd4d1f66b6dd2cba4a36b26"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:GU2MKY3TAGHJRFG3WFZMGESBHH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Filters for anisotropic wavelet decompositions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Elena Volont\\`e, Mariantonia Cotronei, Milvia Rossini, Tomas Sauer","submitted_at":"2018-03-19T13:15:50Z","abstract_excerpt":"Like the continous shearlet transform and their relatives, discrete transformations based on the interplay between several filterbanks with anisotropic dilations provide a high potential to recover directed features in two and more dimensions. Due to simplicity, most of the directional systems constructed so far were using prediction--correction methods based on interpolatory subdivision schemes. In this paper, we give a simple but effective construction for QMF (quadrature mirror filter) filterbanks which are the discrete object between orthogonal wavelet analysis. We also characterize when t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06902","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":"2026-05-18T00:20:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"USnrArqztINp8t5AFANlsnNTfknOIrHPaLdNcxQBJ1Mnkw+2vY3tm7rfxoY5uXH286Nyla8FC6HvFh6N/ljBCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:04:27.564733Z"},"content_sha256":"79b6ea5b08dfbd682df6ac7c0b873ab27980e047a44bcfeceba04088d5e2d6a6","schema_version":"1.0","event_id":"sha256:79b6ea5b08dfbd682df6ac7c0b873ab27980e047a44bcfeceba04088d5e2d6a6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GU2MKY3TAGHJRFG3WFZMGESBHH/bundle.json","state_url":"https://pith.science/pith/GU2MKY3TAGHJRFG3WFZMGESBHH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GU2MKY3TAGHJRFG3WFZMGESBHH/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":"2026-05-30T18:04:27Z","links":{"resolver":"https://pith.science/pith/GU2MKY3TAGHJRFG3WFZMGESBHH","bundle":"https://pith.science/pith/GU2MKY3TAGHJRFG3WFZMGESBHH/bundle.json","state":"https://pith.science/pith/GU2MKY3TAGHJRFG3WFZMGESBHH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GU2MKY3TAGHJRFG3WFZMGESBHH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GU2MKY3TAGHJRFG3WFZMGESBHH","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":"73ddb3e971cd0e02efe515d39ef09a14babaccb3d68be4ba000e8b0c1a0a1522","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-19T13:15:50Z","title_canon_sha256":"758e56b983dccdb6dccfd05270d09f89769ac273d2fc8baa7de85303954d33af"},"schema_version":"1.0","source":{"id":"1803.06902","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06902","created_at":"2026-05-18T00:20:40Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06902v1","created_at":"2026-05-18T00:20:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06902","created_at":"2026-05-18T00:20:40Z"},{"alias_kind":"pith_short_12","alias_value":"GU2MKY3TAGHJ","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GU2MKY3TAGHJRFG3","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GU2MKY3T","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:79b6ea5b08dfbd682df6ac7c0b873ab27980e047a44bcfeceba04088d5e2d6a6","target":"graph","created_at":"2026-05-18T00:20:40Z","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":"Like the continous shearlet transform and their relatives, discrete transformations based on the interplay between several filterbanks with anisotropic dilations provide a high potential to recover directed features in two and more dimensions. Due to simplicity, most of the directional systems constructed so far were using prediction--correction methods based on interpolatory subdivision schemes. In this paper, we give a simple but effective construction for QMF (quadrature mirror filter) filterbanks which are the discrete object between orthogonal wavelet analysis. We also characterize when t","authors_text":"Elena Volont\\`e, Mariantonia Cotronei, Milvia Rossini, Tomas Sauer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-19T13:15:50Z","title":"Filters for anisotropic wavelet decompositions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06902","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:fb56a29b14aef46d69d60333d5c043650557d886ddd4d1f66b6dd2cba4a36b26","target":"record","created_at":"2026-05-18T00:20:40Z","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":"73ddb3e971cd0e02efe515d39ef09a14babaccb3d68be4ba000e8b0c1a0a1522","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-19T13:15:50Z","title_canon_sha256":"758e56b983dccdb6dccfd05270d09f89769ac273d2fc8baa7de85303954d33af"},"schema_version":"1.0","source":{"id":"1803.06902","kind":"arxiv","version":1}},"canonical_sha256":"3534c56373018e9894dbb172c3124139ff683128c65935d4226d64efd2af4164","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3534c56373018e9894dbb172c3124139ff683128c65935d4226d64efd2af4164","first_computed_at":"2026-05-18T00:20:40.959333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:40.959333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"macb+WsqA5DoJfO0owHkwPIIhErX+FezuO4bAQT3NXxeR4rE777JxE8POlWJIm4VGR7V5jpbhBD4PASKePRlCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:40.959847Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.06902","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb56a29b14aef46d69d60333d5c043650557d886ddd4d1f66b6dd2cba4a36b26","sha256:79b6ea5b08dfbd682df6ac7c0b873ab27980e047a44bcfeceba04088d5e2d6a6"],"state_sha256":"77379464ce76f636f827eec4fe0c0a65de8bdda729ba953d9a1f37cd1c8216ea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OQeA405mMmVZlyHvbphtpI7kvaY4yRFmo/2eUU6UPDVuiDZTh+mC/Nf2UvMUcAUDzxhegYBQanMhSe4AtT3CBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T18:04:27.569078Z","bundle_sha256":"c1f5be1931a341a7598b4c40cc2ca754e149d78a371bcd2dc81503403da6225c"}}