{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:NNECNHK2JVMNBBWGURPDZWLD4M","short_pith_number":"pith:NNECNHK2","canonical_record":{"source":{"id":"1801.02701","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-08T22:18:24Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f8c2994fbf75124a4cbd96a92637981cafeb50b1c417658a5ad8e8d1757e52a4","abstract_canon_sha256":"cf858c960a44512f377d8df1cb6293f92edb47007f063bce55e845a962c4148d"},"schema_version":"1.0"},"canonical_sha256":"6b48269d5a4d58d086c6a45e3cd963e31813bcb9498f68948aecf6b9dc486cc0","source":{"kind":"arxiv","id":"1801.02701","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.02701","created_at":"2026-05-18T00:18:56Z"},{"alias_kind":"arxiv_version","alias_value":"1801.02701v3","created_at":"2026-05-18T00:18:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.02701","created_at":"2026-05-18T00:18:56Z"},{"alias_kind":"pith_short_12","alias_value":"NNECNHK2JVMN","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NNECNHK2JVMNBBWG","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NNECNHK2","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:NNECNHK2JVMNBBWGURPDZWLD4M","target":"record","payload":{"canonical_record":{"source":{"id":"1801.02701","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-08T22:18:24Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f8c2994fbf75124a4cbd96a92637981cafeb50b1c417658a5ad8e8d1757e52a4","abstract_canon_sha256":"cf858c960a44512f377d8df1cb6293f92edb47007f063bce55e845a962c4148d"},"schema_version":"1.0"},"canonical_sha256":"6b48269d5a4d58d086c6a45e3cd963e31813bcb9498f68948aecf6b9dc486cc0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:56.958644Z","signature_b64":"qVuMLppTrbjvxPNhY1Id5GrXeRmGYvs22xTV+2BOjOvawzmaLt7quGGxp/H5G3aYMkhL78d/Gw2E8Eb9hYtYAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b48269d5a4d58d086c6a45e3cd963e31813bcb9498f68948aecf6b9dc486cc0","last_reissued_at":"2026-05-18T00:18:56.958188Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:56.958188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.02701","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:18:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NsGoI6yLBvtNl7qS7L9T0ACm8D0DAa/7oLP/C42L32/N6yPsWhhO5XcKhywAVwaelJ5Db1WRdGWHoWHTWLVCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:21:47.906694Z"},"content_sha256":"ee44d70ad06fca1faa5915b946fa275cdbc7788f3a90c7dfe7688125d2536903","schema_version":"1.0","event_id":"sha256:ee44d70ad06fca1faa5915b946fa275cdbc7788f3a90c7dfe7688125d2536903"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:NNECNHK2JVMNBBWGURPDZWLD4M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Novel Impossibility Results for Group-Testing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Abhishek Agarwal, Arya Mazumdar, Sidharth Jaggi","submitted_at":"2018-01-08T22:18:24Z","abstract_excerpt":"In this work we prove non-trivial impossibility results for perhaps the simplest non-linear estimation problem, that of {\\it Group Testing} (GT), via the recently developed Madiman-Tetali inequalities. Group Testing concerns itself with identifying a hidden set of $d$ defective items from a set of $n$ items via $t$ {disjunctive/pooled} measurements (\"group tests\"). We consider the linear sparsity regime, i.e. $d = \\delta n$ for any constant $\\delta >0$, a hitherto little-explored (though natural) regime. In a standard information-theoretic setting, where the tests are required to be non-adapti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.02701","kind":"arxiv","version":3},"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":"2026-05-18T00:18:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"edxS+shGFnOuryDjhiWarX9ABqWd29oPDqQEgvWiTCRW7hY3EJyoGiB32QsE5amS/DoHqy5GIGdHCq9EF+cBAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:21:47.907044Z"},"content_sha256":"69095d5f143b460812e6c9108e4ecba47a1e838b284658fb320b82f87304e8ec","schema_version":"1.0","event_id":"sha256:69095d5f143b460812e6c9108e4ecba47a1e838b284658fb320b82f87304e8ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NNECNHK2JVMNBBWGURPDZWLD4M/bundle.json","state_url":"https://pith.science/pith/NNECNHK2JVMNBBWGURPDZWLD4M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NNECNHK2JVMNBBWGURPDZWLD4M/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":"2026-05-28T06:21:47Z","links":{"resolver":"https://pith.science/pith/NNECNHK2JVMNBBWGURPDZWLD4M","bundle":"https://pith.science/pith/NNECNHK2JVMNBBWGURPDZWLD4M/bundle.json","state":"https://pith.science/pith/NNECNHK2JVMNBBWGURPDZWLD4M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NNECNHK2JVMNBBWGURPDZWLD4M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NNECNHK2JVMNBBWGURPDZWLD4M","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":"cf858c960a44512f377d8df1cb6293f92edb47007f063bce55e845a962c4148d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-08T22:18:24Z","title_canon_sha256":"f8c2994fbf75124a4cbd96a92637981cafeb50b1c417658a5ad8e8d1757e52a4"},"schema_version":"1.0","source":{"id":"1801.02701","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.02701","created_at":"2026-05-18T00:18:56Z"},{"alias_kind":"arxiv_version","alias_value":"1801.02701v3","created_at":"2026-05-18T00:18:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.02701","created_at":"2026-05-18T00:18:56Z"},{"alias_kind":"pith_short_12","alias_value":"NNECNHK2JVMN","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NNECNHK2JVMNBBWG","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NNECNHK2","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:69095d5f143b460812e6c9108e4ecba47a1e838b284658fb320b82f87304e8ec","target":"graph","created_at":"2026-05-18T00:18:56Z","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":"In this work we prove non-trivial impossibility results for perhaps the simplest non-linear estimation problem, that of {\\it Group Testing} (GT), via the recently developed Madiman-Tetali inequalities. Group Testing concerns itself with identifying a hidden set of $d$ defective items from a set of $n$ items via $t$ {disjunctive/pooled} measurements (\"group tests\"). We consider the linear sparsity regime, i.e. $d = \\delta n$ for any constant $\\delta >0$, a hitherto little-explored (though natural) regime. In a standard information-theoretic setting, where the tests are required to be non-adapti","authors_text":"Abhishek Agarwal, Arya Mazumdar, Sidharth Jaggi","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-08T22:18:24Z","title":"Novel Impossibility Results for Group-Testing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.02701","kind":"arxiv","version":3},"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:ee44d70ad06fca1faa5915b946fa275cdbc7788f3a90c7dfe7688125d2536903","target":"record","created_at":"2026-05-18T00:18:56Z","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":"cf858c960a44512f377d8df1cb6293f92edb47007f063bce55e845a962c4148d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-08T22:18:24Z","title_canon_sha256":"f8c2994fbf75124a4cbd96a92637981cafeb50b1c417658a5ad8e8d1757e52a4"},"schema_version":"1.0","source":{"id":"1801.02701","kind":"arxiv","version":3}},"canonical_sha256":"6b48269d5a4d58d086c6a45e3cd963e31813bcb9498f68948aecf6b9dc486cc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b48269d5a4d58d086c6a45e3cd963e31813bcb9498f68948aecf6b9dc486cc0","first_computed_at":"2026-05-18T00:18:56.958188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:56.958188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qVuMLppTrbjvxPNhY1Id5GrXeRmGYvs22xTV+2BOjOvawzmaLt7quGGxp/H5G3aYMkhL78d/Gw2E8Eb9hYtYAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:56.958644Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.02701","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee44d70ad06fca1faa5915b946fa275cdbc7788f3a90c7dfe7688125d2536903","sha256:69095d5f143b460812e6c9108e4ecba47a1e838b284658fb320b82f87304e8ec"],"state_sha256":"f247979b8746eb18cd70e36242d864de4763fe9a82dfc5d3e4466608c2a7bdfe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+W0t5T2lUL7RGknIxMVjWDLeKqX6kjvpGU4xF9oKfDAIuKCPTPFGPtdrEr2Y3/njBM/SzartB6E6EjR2MZE9DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T06:21:47.909202Z","bundle_sha256":"595360f9dae2b541780ff3c1d5d56a2c7c4ebaa8a2730a92e984d6632941104e"}}