{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:JRNRDUIQZRSWPZHQWE6W43225D","short_pith_number":"pith:JRNRDUIQ","canonical_record":{"source":{"id":"2606.10975","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-09T15:13:36Z","cross_cats_sorted":["eess.SP","math.OC"],"title_canon_sha256":"206f3ea561310c61aa7151b97e76deb4b4d4691fe28cb471a46e040eebc9b022","abstract_canon_sha256":"b319df345c7fd5573515af6ba0f50b65b924117ed5ee22f4c13c4c187ada4755"},"schema_version":"1.0"},"canonical_sha256":"4c5b11d110cc6567e4f0b13d6e6f5ae8c6729eaaea79a2b808fcd9edf75c107d","source":{"kind":"arxiv","id":"2606.10975","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10975","created_at":"2026-06-10T01:10:50Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10975v1","created_at":"2026-06-10T01:10:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10975","created_at":"2026-06-10T01:10:50Z"},{"alias_kind":"pith_short_12","alias_value":"JRNRDUIQZRSW","created_at":"2026-06-10T01:10:50Z"},{"alias_kind":"pith_short_16","alias_value":"JRNRDUIQZRSWPZHQ","created_at":"2026-06-10T01:10:50Z"},{"alias_kind":"pith_short_8","alias_value":"JRNRDUIQ","created_at":"2026-06-10T01:10:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:JRNRDUIQZRSWPZHQWE6W43225D","target":"record","payload":{"canonical_record":{"source":{"id":"2606.10975","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-09T15:13:36Z","cross_cats_sorted":["eess.SP","math.OC"],"title_canon_sha256":"206f3ea561310c61aa7151b97e76deb4b4d4691fe28cb471a46e040eebc9b022","abstract_canon_sha256":"b319df345c7fd5573515af6ba0f50b65b924117ed5ee22f4c13c4c187ada4755"},"schema_version":"1.0"},"canonical_sha256":"4c5b11d110cc6567e4f0b13d6e6f5ae8c6729eaaea79a2b808fcd9edf75c107d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T01:10:50.842527Z","signature_b64":"W1idzqsiAd9VNOSG7S3dCl0hPtV7y9u2ofDjp61qM4FBHInLWQHCiilFXqaYJ/+J330gtirvMSIude1F5SjFCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c5b11d110cc6567e4f0b13d6e6f5ae8c6729eaaea79a2b808fcd9edf75c107d","last_reissued_at":"2026-06-10T01:10:50.841688Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T01:10:50.841688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.10975","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":"2026-06-10T01:10:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6d/KhnHIr6SZLNBPD4/hlYdkQRsUDDRSMf3pcnngfx3mf8OzZeXSWT61yUVzly8+dOK4adL0A9mA2VEQzN+oCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T11:06:40.238527Z"},"content_sha256":"37bab0c55654ca7fba36d556bc994822be8864e0a654a04982c0bfb5268b8f65","schema_version":"1.0","event_id":"sha256:37bab0c55654ca7fba36d556bc994822be8864e0a654a04982c0bfb5268b8f65"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:JRNRDUIQZRSWPZHQWE6W43225D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Learning Doubly Sparse Explicitly Conditioned Transforms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["eess.SP","math.OC"],"primary_cat":"cs.LG","authors_text":"Tudor Pistol","submitted_at":"2026-06-09T15:13:36Z","abstract_excerpt":"Finding convenient spaces in which certain hypotheses regarding an assumed sparse structure of natural signals hold true has become a desirable result in recent research, its implications being reflected in areas such as data compression, noise reduction and feature extraction. While the extensively used analytical transforms, such as DFT or DCT, already provide efficient algorithms and robust sparse representations, they assume a fixed prior about the data, failing to accurately capture the specific structure of more restrictive classes of signals. To address this, the concept of a data-adapt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10975","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.10975/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-10T01:10:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y/BolYDqgbH9OFRDHPdySnmH9W6SdkbZ8hoEyVPNsqFhSgyQ6QT7TBH2PCbe3KvbTLBuX9ap1q1+uAt4rnkcCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T11:06:40.238902Z"},"content_sha256":"905c938fd8aaf106c61fc0bb48af2827c8d10ef61f81d666e5b3e01b04ac3148","schema_version":"1.0","event_id":"sha256:905c938fd8aaf106c61fc0bb48af2827c8d10ef61f81d666e5b3e01b04ac3148"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JRNRDUIQZRSWPZHQWE6W43225D/bundle.json","state_url":"https://pith.science/pith/JRNRDUIQZRSWPZHQWE6W43225D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JRNRDUIQZRSWPZHQWE6W43225D/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":"2026-07-03T11:06:40Z","links":{"resolver":"https://pith.science/pith/JRNRDUIQZRSWPZHQWE6W43225D","bundle":"https://pith.science/pith/JRNRDUIQZRSWPZHQWE6W43225D/bundle.json","state":"https://pith.science/pith/JRNRDUIQZRSWPZHQWE6W43225D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JRNRDUIQZRSWPZHQWE6W43225D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JRNRDUIQZRSWPZHQWE6W43225D","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":"b319df345c7fd5573515af6ba0f50b65b924117ed5ee22f4c13c4c187ada4755","cross_cats_sorted":["eess.SP","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-09T15:13:36Z","title_canon_sha256":"206f3ea561310c61aa7151b97e76deb4b4d4691fe28cb471a46e040eebc9b022"},"schema_version":"1.0","source":{"id":"2606.10975","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10975","created_at":"2026-06-10T01:10:50Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10975v1","created_at":"2026-06-10T01:10:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10975","created_at":"2026-06-10T01:10:50Z"},{"alias_kind":"pith_short_12","alias_value":"JRNRDUIQZRSW","created_at":"2026-06-10T01:10:50Z"},{"alias_kind":"pith_short_16","alias_value":"JRNRDUIQZRSWPZHQ","created_at":"2026-06-10T01:10:50Z"},{"alias_kind":"pith_short_8","alias_value":"JRNRDUIQ","created_at":"2026-06-10T01:10:50Z"}],"graph_snapshots":[{"event_id":"sha256:905c938fd8aaf106c61fc0bb48af2827c8d10ef61f81d666e5b3e01b04ac3148","target":"graph","created_at":"2026-06-10T01:10:50Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.10975/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Finding convenient spaces in which certain hypotheses regarding an assumed sparse structure of natural signals hold true has become a desirable result in recent research, its implications being reflected in areas such as data compression, noise reduction and feature extraction. While the extensively used analytical transforms, such as DFT or DCT, already provide efficient algorithms and robust sparse representations, they assume a fixed prior about the data, failing to accurately capture the specific structure of more restrictive classes of signals. To address this, the concept of a data-adapt","authors_text":"Tudor Pistol","cross_cats":["eess.SP","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-09T15:13:36Z","title":"Learning Doubly Sparse Explicitly Conditioned Transforms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10975","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":"sha256:37bab0c55654ca7fba36d556bc994822be8864e0a654a04982c0bfb5268b8f65","target":"record","created_at":"2026-06-10T01:10:50Z","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":"b319df345c7fd5573515af6ba0f50b65b924117ed5ee22f4c13c4c187ada4755","cross_cats_sorted":["eess.SP","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-09T15:13:36Z","title_canon_sha256":"206f3ea561310c61aa7151b97e76deb4b4d4691fe28cb471a46e040eebc9b022"},"schema_version":"1.0","source":{"id":"2606.10975","kind":"arxiv","version":1}},"canonical_sha256":"4c5b11d110cc6567e4f0b13d6e6f5ae8c6729eaaea79a2b808fcd9edf75c107d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c5b11d110cc6567e4f0b13d6e6f5ae8c6729eaaea79a2b808fcd9edf75c107d","first_computed_at":"2026-06-10T01:10:50.841688Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:10:50.841688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W1idzqsiAd9VNOSG7S3dCl0hPtV7y9u2ofDjp61qM4FBHInLWQHCiilFXqaYJ/+J330gtirvMSIude1F5SjFCA==","signature_status":"signed_v1","signed_at":"2026-06-10T01:10:50.842527Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.10975","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37bab0c55654ca7fba36d556bc994822be8864e0a654a04982c0bfb5268b8f65","sha256:905c938fd8aaf106c61fc0bb48af2827c8d10ef61f81d666e5b3e01b04ac3148"],"state_sha256":"ba407616892991e441a71842635c2becc3185329d62d0958e9363027c51f2a39"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LSReodDFQUxtl21c5islUJta0T/SMqf1+5OoQjsfkLfxFwfwyfPaAxtWPXj8GtrLN70nX03y/RWBArDijr65DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T11:06:40.241362Z","bundle_sha256":"3669c03e43a1b84ecc21a3e46911e901d1bbd6c6232e797f83bac81716668b3b"}}