{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:JX3EZJBFTY4SJDH5TRBZU7PAO4","short_pith_number":"pith:JX3EZJBF","canonical_record":{"source":{"id":"1803.06446","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-03-17T02:05:03Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"e3ecff14ce43a7eb9f6a5bba4534a3d0c39e20776c28683f59601d82d155e6ab","abstract_canon_sha256":"07711f1288ccee7bf786447987425590b65d63801fe1ddd3453ccf7c891521af"},"schema_version":"1.0"},"canonical_sha256":"4df64ca4259e39248cfd9c439a7de07736fb85f90b144d7fa2900e2086c41547","source":{"kind":"arxiv","id":"1803.06446","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06446","created_at":"2026-05-17T23:48:52Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06446v2","created_at":"2026-05-17T23:48:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06446","created_at":"2026-05-17T23:48:52Z"},{"alias_kind":"pith_short_12","alias_value":"JX3EZJBFTY4S","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"JX3EZJBFTY4SJDH5","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"JX3EZJBF","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:JX3EZJBFTY4SJDH5TRBZU7PAO4","target":"record","payload":{"canonical_record":{"source":{"id":"1803.06446","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-03-17T02:05:03Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"e3ecff14ce43a7eb9f6a5bba4534a3d0c39e20776c28683f59601d82d155e6ab","abstract_canon_sha256":"07711f1288ccee7bf786447987425590b65d63801fe1ddd3453ccf7c891521af"},"schema_version":"1.0"},"canonical_sha256":"4df64ca4259e39248cfd9c439a7de07736fb85f90b144d7fa2900e2086c41547","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:52.937756Z","signature_b64":"pqqCL0D84GnNxU9ePLXlfYOv7/HY8qFskJcQaEeIjOtM2Kr6SvWp/5JifUbZ1jiooUmeSI5vUXqyZJgBLtKACA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4df64ca4259e39248cfd9c439a7de07736fb85f90b144d7fa2900e2086c41547","last_reissued_at":"2026-05-17T23:48:52.937139Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:52.937139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.06446","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":"2026-05-17T23:48:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yTLncb1W8cTUo96VwmIko9xNZrXwCsJc3j1IEONeGuSKISnt3WDVynY/f+RaKXDJpnHx8d/AJugSqysMJFKoAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T16:02:25.269143Z"},"content_sha256":"5e24b65b2a35c7b24fccaa8e5868497518d170d60610538ae15ade03bdb2ac6c","schema_version":"1.0","event_id":"sha256:5e24b65b2a35c7b24fccaa8e5868497518d170d60610538ae15ade03bdb2ac6c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:JX3EZJBFTY4SJDH5TRBZU7PAO4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Polyhedral Estimation of Signals via Indirect Observations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Anatoli Juditsky, Arkadi Nemirovski","submitted_at":"2018-03-17T02:05:03Z","abstract_excerpt":"We consider the problem of recovering linear image of unknown signal belonging to a given convex compact signal set from noisy observation of another linear image of the signal. We develop a simple generic efficiently computable nonlinear in observations \"polyhedral\" estimate along with computation-friendly techniques for its design and risk analysis. We demonstrate that under favorable circumstances the resulting estimate is provably near-optimal in the minimax sense, the \"favorable circumstances\" being less restrictive than the weakest known so far assumptions ensuring near-optimality of est"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06446","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":"2026-05-17T23:48:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7ieS79nPWQnjN0RdnFN8hHypbqkR61cUqjDfbpJulwuvcxVS8bplgT8W2QgUWMQSokYmAgXfg0nvlQ7CPE71DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T16:02:25.269858Z"},"content_sha256":"b9a6ef7a73807f337cb142a3bd63a898c78166d63beaf5926ea6a4a0206b2a54","schema_version":"1.0","event_id":"sha256:b9a6ef7a73807f337cb142a3bd63a898c78166d63beaf5926ea6a4a0206b2a54"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JX3EZJBFTY4SJDH5TRBZU7PAO4/bundle.json","state_url":"https://pith.science/pith/JX3EZJBFTY4SJDH5TRBZU7PAO4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JX3EZJBFTY4SJDH5TRBZU7PAO4/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":"2026-06-09T16:02:25Z","links":{"resolver":"https://pith.science/pith/JX3EZJBFTY4SJDH5TRBZU7PAO4","bundle":"https://pith.science/pith/JX3EZJBFTY4SJDH5TRBZU7PAO4/bundle.json","state":"https://pith.science/pith/JX3EZJBFTY4SJDH5TRBZU7PAO4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JX3EZJBFTY4SJDH5TRBZU7PAO4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JX3EZJBFTY4SJDH5TRBZU7PAO4","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":"07711f1288ccee7bf786447987425590b65d63801fe1ddd3453ccf7c891521af","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-03-17T02:05:03Z","title_canon_sha256":"e3ecff14ce43a7eb9f6a5bba4534a3d0c39e20776c28683f59601d82d155e6ab"},"schema_version":"1.0","source":{"id":"1803.06446","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06446","created_at":"2026-05-17T23:48:52Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06446v2","created_at":"2026-05-17T23:48:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06446","created_at":"2026-05-17T23:48:52Z"},{"alias_kind":"pith_short_12","alias_value":"JX3EZJBFTY4S","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"JX3EZJBFTY4SJDH5","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"JX3EZJBF","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:b9a6ef7a73807f337cb142a3bd63a898c78166d63beaf5926ea6a4a0206b2a54","target":"graph","created_at":"2026-05-17T23:48:52Z","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 consider the problem of recovering linear image of unknown signal belonging to a given convex compact signal set from noisy observation of another linear image of the signal. We develop a simple generic efficiently computable nonlinear in observations \"polyhedral\" estimate along with computation-friendly techniques for its design and risk analysis. We demonstrate that under favorable circumstances the resulting estimate is provably near-optimal in the minimax sense, the \"favorable circumstances\" being less restrictive than the weakest known so far assumptions ensuring near-optimality of est","authors_text":"Anatoli Juditsky, Arkadi Nemirovski","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-03-17T02:05:03Z","title":"On Polyhedral Estimation of Signals via Indirect Observations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06446","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":"sha256:5e24b65b2a35c7b24fccaa8e5868497518d170d60610538ae15ade03bdb2ac6c","target":"record","created_at":"2026-05-17T23:48:52Z","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":"07711f1288ccee7bf786447987425590b65d63801fe1ddd3453ccf7c891521af","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-03-17T02:05:03Z","title_canon_sha256":"e3ecff14ce43a7eb9f6a5bba4534a3d0c39e20776c28683f59601d82d155e6ab"},"schema_version":"1.0","source":{"id":"1803.06446","kind":"arxiv","version":2}},"canonical_sha256":"4df64ca4259e39248cfd9c439a7de07736fb85f90b144d7fa2900e2086c41547","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4df64ca4259e39248cfd9c439a7de07736fb85f90b144d7fa2900e2086c41547","first_computed_at":"2026-05-17T23:48:52.937139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:52.937139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pqqCL0D84GnNxU9ePLXlfYOv7/HY8qFskJcQaEeIjOtM2Kr6SvWp/5JifUbZ1jiooUmeSI5vUXqyZJgBLtKACA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:52.937756Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.06446","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e24b65b2a35c7b24fccaa8e5868497518d170d60610538ae15ade03bdb2ac6c","sha256:b9a6ef7a73807f337cb142a3bd63a898c78166d63beaf5926ea6a4a0206b2a54"],"state_sha256":"ca72519adc34e9b3124b8cd0b3ae89de0f8f923a0e28de381aa6c99632610023"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l4w++5qRZZSESPtfV3vJI7P9VCcw++kUVtij+o0U0l0CdPXeCM/W6IF2NGeC4+H2Ef56U6H2DKkiEIStU7p+DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T16:02:25.274255Z","bundle_sha256":"bde9c154824dc7925cbf0ab40ceead5dbe4a863393e33b83eb4a963c64a1a1c2"}}