{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:YPZ27MXHDCZIVSTV7SJDGDZUT5","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":"38403d7a89f06ed5bbf3bc5043b396a889a59aa051cf0b7788fd5831054d1ced","cross_cats_sorted":["cs.AI","cs.CE","cs.DS","eess.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-06-02T23:28:49Z","title_canon_sha256":"d2a724d02acc875e44d9f35f2861931dbdef4477f5dbcfa86b0740def53f1a43"},"schema_version":"1.0","source":{"id":"2506.02323","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.02323","created_at":"2026-07-05T11:14:36Z"},{"alias_kind":"arxiv_version","alias_value":"2506.02323v1","created_at":"2026-07-05T11:14:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.02323","created_at":"2026-07-05T11:14:36Z"},{"alias_kind":"pith_short_12","alias_value":"YPZ27MXHDCZI","created_at":"2026-07-05T11:14:36Z"},{"alias_kind":"pith_short_16","alias_value":"YPZ27MXHDCZIVSTV","created_at":"2026-07-05T11:14:36Z"},{"alias_kind":"pith_short_8","alias_value":"YPZ27MXH","created_at":"2026-07-05T11:14:36Z"}],"graph_snapshots":[{"event_id":"sha256:1ef82b067d81f08621396fd6f0730a7da76ab40762663631fd633d9be5cd6abf","target":"graph","created_at":"2026-07-05T11:14:36Z","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/2506.02323/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We formulate an optimization problem to estimate probability densities in the context of multidimensional problems that are sampled with uneven probability. It considers detector sensitivity as an heterogeneous density and takes advantage of the computational speed and flexible boundary conditions offered by splines on a grid. We choose to regularize the Hessian of the spline via the nuclear norm to promote sparsity. As a result, the method is spatially adaptive and stable against the choice of the regularization parameter, which plays the role of the bandwidth. We test our computational pipel","authors_text":"Aleix Boquet-Pujadas, Michael Unser, Pol del Aguila Pla","cross_cats":["cs.AI","cs.CE","cs.DS","eess.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-06-02T23:28:49Z","title":"Sensitivity-Aware Density Estimation in Multiple Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.02323","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:a66dbf904e7c5e94277c8114584f56795fbcebbef4adbd9131033d8c3504bf10","target":"record","created_at":"2026-07-05T11:14:36Z","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":"38403d7a89f06ed5bbf3bc5043b396a889a59aa051cf0b7788fd5831054d1ced","cross_cats_sorted":["cs.AI","cs.CE","cs.DS","eess.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-06-02T23:28:49Z","title_canon_sha256":"d2a724d02acc875e44d9f35f2861931dbdef4477f5dbcfa86b0740def53f1a43"},"schema_version":"1.0","source":{"id":"2506.02323","kind":"arxiv","version":1}},"canonical_sha256":"c3f3afb2e718b28aca75fc92330f349f697a7dc51a2d9589f3534d661b876573","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3f3afb2e718b28aca75fc92330f349f697a7dc51a2d9589f3534d661b876573","first_computed_at":"2026-07-05T11:14:36.367466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:14:36.367466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pfllpeBaJGNM5fLohlD2jgIBr0AaB7MQIPDY/p/KsQ3X+j6f/pG8PoSQvcpjnsSMM65QDRHhKV0UwO5VipwmDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:14:36.367888Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.02323","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a66dbf904e7c5e94277c8114584f56795fbcebbef4adbd9131033d8c3504bf10","sha256:1ef82b067d81f08621396fd6f0730a7da76ab40762663631fd633d9be5cd6abf"],"state_sha256":"45ceb688e85efb2146deef200f59036f7c12c48c26cfe6bc0036014401e599ff"}