{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:MFVTAQ6DZQFZ6IMP2NGCLV4KVT","short_pith_number":"pith:MFVTAQ6D","schema_version":"1.0","canonical_sha256":"616b3043c3cc0b9f218fd34c25d78aacc188f26b50174f79f2a9991d46b50f18","source":{"kind":"arxiv","id":"1901.08736","version":1},"attestation_state":"computed","paper":{"title":"Concentration of quadratic forms under a Bernstein moment assumption","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Pierre C Bellec","submitted_at":"2019-01-25T04:47:10Z","abstract_excerpt":"A concentration result for quadratic form of independent subgaussian random variables is derived. If the moments of the random variables satisfy a \"Bernstein condition\", then the variance term of the Hanson-Wright inequality can be improved. The Bernstein condition is satisfied, for instance, by all log-concave subgaussian distributions."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1901.08736","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-01-25T04:47:10Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"7394daf78bddd66f5cac7a70ebd959d961ccd751553e0a8bf5d6637182b79cf1","abstract_canon_sha256":"5c6dde92a0a13af22fad5b6300b8cea4451ba6f6550d5fdcdd3839ab9ef649d7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:33.254991Z","signature_b64":"vXej74bilhA6o4uWsDI9DbFK2L4PoTVekkWj29yTKJARzwYdM/LRSf+cpp78kU8KegBPKxDfgU/Pg3hVNhVnDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"616b3043c3cc0b9f218fd34c25d78aacc188f26b50174f79f2a9991d46b50f18","last_reissued_at":"2026-05-17T23:55:33.254407Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:33.254407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Concentration of quadratic forms under a Bernstein moment assumption","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Pierre C Bellec","submitted_at":"2019-01-25T04:47:10Z","abstract_excerpt":"A concentration result for quadratic form of independent subgaussian random variables is derived. If the moments of the random variables satisfy a \"Bernstein condition\", then the variance term of the Hanson-Wright inequality can be improved. The Bernstein condition is satisfied, for instance, by all log-concave subgaussian distributions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.08736","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1901.08736","created_at":"2026-05-17T23:55:33.254495+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.08736v1","created_at":"2026-05-17T23:55:33.254495+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.08736","created_at":"2026-05-17T23:55:33.254495+00:00"},{"alias_kind":"pith_short_12","alias_value":"MFVTAQ6DZQFZ","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"MFVTAQ6DZQFZ6IMP","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"MFVTAQ6D","created_at":"2026-05-18T12:33:21.387695+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MFVTAQ6DZQFZ6IMP2NGCLV4KVT","json":"https://pith.science/pith/MFVTAQ6DZQFZ6IMP2NGCLV4KVT.json","graph_json":"https://pith.science/api/pith-number/MFVTAQ6DZQFZ6IMP2NGCLV4KVT/graph.json","events_json":"https://pith.science/api/pith-number/MFVTAQ6DZQFZ6IMP2NGCLV4KVT/events.json","paper":"https://pith.science/paper/MFVTAQ6D"},"agent_actions":{"view_html":"https://pith.science/pith/MFVTAQ6DZQFZ6IMP2NGCLV4KVT","download_json":"https://pith.science/pith/MFVTAQ6DZQFZ6IMP2NGCLV4KVT.json","view_paper":"https://pith.science/paper/MFVTAQ6D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.08736&json=true","fetch_graph":"https://pith.science/api/pith-number/MFVTAQ6DZQFZ6IMP2NGCLV4KVT/graph.json","fetch_events":"https://pith.science/api/pith-number/MFVTAQ6DZQFZ6IMP2NGCLV4KVT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MFVTAQ6DZQFZ6IMP2NGCLV4KVT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MFVTAQ6DZQFZ6IMP2NGCLV4KVT/action/storage_attestation","attest_author":"https://pith.science/pith/MFVTAQ6DZQFZ6IMP2NGCLV4KVT/action/author_attestation","sign_citation":"https://pith.science/pith/MFVTAQ6DZQFZ6IMP2NGCLV4KVT/action/citation_signature","submit_replication":"https://pith.science/pith/MFVTAQ6DZQFZ6IMP2NGCLV4KVT/action/replication_record"}},"created_at":"2026-05-17T23:55:33.254495+00:00","updated_at":"2026-05-17T23:55:33.254495+00:00"}