{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AHLDB3JQU7UHDF7LSUCJMRR3JE","short_pith_number":"pith:AHLDB3JQ","canonical_record":{"source":{"id":"1301.4660","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-01-20T14:14:27Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"44d9d2968ef20edddc811ba0b18c025cf6bece2eb1042b3f02047a0bd4281d92","abstract_canon_sha256":"e9879167927d5b8b20fc27e1668bd3c06fc0ee94ba5020c3053c227186677cff"},"schema_version":"1.0"},"canonical_sha256":"01d630ed30a7e87197eb950496463b493e21a292ed7165e884eb351d0ae2bab4","source":{"kind":"arxiv","id":"1301.4660","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4660","created_at":"2026-05-18T03:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4660v1","created_at":"2026-05-18T03:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4660","created_at":"2026-05-18T03:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"AHLDB3JQU7UH","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AHLDB3JQU7UHDF7L","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AHLDB3JQ","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AHLDB3JQU7UHDF7LSUCJMRR3JE","target":"record","payload":{"canonical_record":{"source":{"id":"1301.4660","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-01-20T14:14:27Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"44d9d2968ef20edddc811ba0b18c025cf6bece2eb1042b3f02047a0bd4281d92","abstract_canon_sha256":"e9879167927d5b8b20fc27e1668bd3c06fc0ee94ba5020c3053c227186677cff"},"schema_version":"1.0"},"canonical_sha256":"01d630ed30a7e87197eb950496463b493e21a292ed7165e884eb351d0ae2bab4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:56.004730Z","signature_b64":"2JJFjZaGx5fGJEvG3vtwbJTqZc9vXEzbSIUANPYzeGuDXdKB95hyvAaQEJ5JvlD46rXly07M9g/SVxjxEPSwBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01d630ed30a7e87197eb950496463b493e21a292ed7165e884eb351d0ae2bab4","last_reissued_at":"2026-05-18T03:35:56.003876Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:56.003876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.4660","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":"2026-05-18T03:35:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LArCcimExz00yo/Zv+d5eSG70QqBfSaUXICjGPLjpEjFpPyCoO27qXpumlc60RGimv48dgrCEzWZfzEgQC+kBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:03:24.293350Z"},"content_sha256":"259a3effe9e1e4376fc3291ccb4d738f40bd87d21d94ead54d4b9fa4f5a2217c","schema_version":"1.0","event_id":"sha256:259a3effe9e1e4376fc3291ccb4d738f40bd87d21d94ead54d4b9fa4f5a2217c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AHLDB3JQU7UHDF7LSUCJMRR3JE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sharp detection of smooth signals in a high-dimensional sparse matrix with indirect observations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Cristina Butucea, Ghislaine Gayraud","submitted_at":"2013-01-20T14:14:27Z","abstract_excerpt":"We consider a matrix-valued Gaussian sequence model, that is, we observe a sequence of high-dimensional $M \\times N$ matrices of heterogeneous Gaussian random variables $x_{ij,k}$ for $i \\in\\{1,...,M\\}$, $j \\in \\{1,...,N\\}$ and $k \\in \\mathbb{Z}$. The standard deviation of our observations is $\\ep k^s$ for some $\\ep >0$ and $s \\geq 0$.\n  We give sharp rates for the detection of a sparse submatrix of size $m \\times n$ with active components. A component $(i,j)$ is said active if the sequence $\\{x_{ij,k}\\}_k$ have mean $\\{\\theta_{ij,k}\\}_k$ within a Sobolev ellipsoid of smoothness $\\tau >0$ and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4660","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":"2026-05-18T03:35:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x768bU8jk1g+51v93qCvu1wHfOHXhJ4I+4d38iKPETBvegE6iSnk70B2X3K9CLuanqrwExirib9AJK6CuEPwBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:03:24.293721Z"},"content_sha256":"a6b5c7b472261e60befc29a06baf778681a00dfdbe0a61d611d5898c755ad943","schema_version":"1.0","event_id":"sha256:a6b5c7b472261e60befc29a06baf778681a00dfdbe0a61d611d5898c755ad943"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AHLDB3JQU7UHDF7LSUCJMRR3JE/bundle.json","state_url":"https://pith.science/pith/AHLDB3JQU7UHDF7LSUCJMRR3JE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AHLDB3JQU7UHDF7LSUCJMRR3JE/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":"2026-06-03T21:03:24Z","links":{"resolver":"https://pith.science/pith/AHLDB3JQU7UHDF7LSUCJMRR3JE","bundle":"https://pith.science/pith/AHLDB3JQU7UHDF7LSUCJMRR3JE/bundle.json","state":"https://pith.science/pith/AHLDB3JQU7UHDF7LSUCJMRR3JE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AHLDB3JQU7UHDF7LSUCJMRR3JE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AHLDB3JQU7UHDF7LSUCJMRR3JE","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":"e9879167927d5b8b20fc27e1668bd3c06fc0ee94ba5020c3053c227186677cff","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-01-20T14:14:27Z","title_canon_sha256":"44d9d2968ef20edddc811ba0b18c025cf6bece2eb1042b3f02047a0bd4281d92"},"schema_version":"1.0","source":{"id":"1301.4660","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4660","created_at":"2026-05-18T03:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4660v1","created_at":"2026-05-18T03:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4660","created_at":"2026-05-18T03:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"AHLDB3JQU7UH","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AHLDB3JQU7UHDF7L","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AHLDB3JQ","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:a6b5c7b472261e60befc29a06baf778681a00dfdbe0a61d611d5898c755ad943","target":"graph","created_at":"2026-05-18T03:35:56Z","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":"We consider a matrix-valued Gaussian sequence model, that is, we observe a sequence of high-dimensional $M \\times N$ matrices of heterogeneous Gaussian random variables $x_{ij,k}$ for $i \\in\\{1,...,M\\}$, $j \\in \\{1,...,N\\}$ and $k \\in \\mathbb{Z}$. The standard deviation of our observations is $\\ep k^s$ for some $\\ep >0$ and $s \\geq 0$.\n  We give sharp rates for the detection of a sparse submatrix of size $m \\times n$ with active components. A component $(i,j)$ is said active if the sequence $\\{x_{ij,k}\\}_k$ have mean $\\{\\theta_{ij,k}\\}_k$ within a Sobolev ellipsoid of smoothness $\\tau >0$ and ","authors_text":"Cristina Butucea, Ghislaine Gayraud","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-01-20T14:14:27Z","title":"Sharp detection of smooth signals in a high-dimensional sparse matrix with indirect observations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4660","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":"sha256:259a3effe9e1e4376fc3291ccb4d738f40bd87d21d94ead54d4b9fa4f5a2217c","target":"record","created_at":"2026-05-18T03:35:56Z","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":"e9879167927d5b8b20fc27e1668bd3c06fc0ee94ba5020c3053c227186677cff","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-01-20T14:14:27Z","title_canon_sha256":"44d9d2968ef20edddc811ba0b18c025cf6bece2eb1042b3f02047a0bd4281d92"},"schema_version":"1.0","source":{"id":"1301.4660","kind":"arxiv","version":1}},"canonical_sha256":"01d630ed30a7e87197eb950496463b493e21a292ed7165e884eb351d0ae2bab4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01d630ed30a7e87197eb950496463b493e21a292ed7165e884eb351d0ae2bab4","first_computed_at":"2026-05-18T03:35:56.003876Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:56.003876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2JJFjZaGx5fGJEvG3vtwbJTqZc9vXEzbSIUANPYzeGuDXdKB95hyvAaQEJ5JvlD46rXly07M9g/SVxjxEPSwBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:56.004730Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.4660","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:259a3effe9e1e4376fc3291ccb4d738f40bd87d21d94ead54d4b9fa4f5a2217c","sha256:a6b5c7b472261e60befc29a06baf778681a00dfdbe0a61d611d5898c755ad943"],"state_sha256":"b5631b65f1ff7f5df974b049eb1561956bd2de7fd3e06bbcd0b04c51105264de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LYmHGvgO6cDNC5GA/DmJQdIZyIgYdlssgsbsM5I7ibyQMADZeEXRIDqN6OY3Qm63g6QBqKzhU/Jrv5WHGm9mDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T21:03:24.296054Z","bundle_sha256":"50acfd46e68fa7f228b94416377a0f9c4ae4f5aacfcbd4b0d1a2aa8509badf9c"}}