{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:OZNIHPZ7GMLVEAUTVO5W3LZQBZ","short_pith_number":"pith:OZNIHPZ7","schema_version":"1.0","canonical_sha256":"765a83bf3f3317520293abbb6daf300e78b73a06e66add7483b9739f88be276a","source":{"kind":"arxiv","id":"2203.15551","version":2},"attestation_state":"computed","paper":{"title":"Bourgain's slicing problem and KLS isoperimetry up to polylog","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG","math.PR"],"primary_cat":"math.FA","authors_text":"Bo'az Klartag, Joseph Lehec","submitted_at":"2022-03-29T13:34:14Z","abstract_excerpt":"We prove that Bourgain's hyperplane conjecture and the Kannan-Lov\\'asz-Simonovits (KLS) isoperimetric conjecture hold true up to a factor that is polylogarithmic in the dimension."},"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":"2203.15551","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2022-03-29T13:34:14Z","cross_cats_sorted":["math.MG","math.PR"],"title_canon_sha256":"e60ffb480f82b6685ab079c013fc1620991e386c2b17c30b0620d75e6e7460bf","abstract_canon_sha256":"1b86f8e283d2460c0e8ffd6f160de9fbabca3d7f3751abbae3941f9dfe8596f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:12:54.096176Z","signature_b64":"fpvMMI3eQuN70rA9zwbzfHnLoDhA2ZqZMSBhdXyW3gzhHQAZ4QImXQRfVtAkv7XCIWZfmSnj4OCppx589+DgAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"765a83bf3f3317520293abbb6daf300e78b73a06e66add7483b9739f88be276a","last_reissued_at":"2026-07-05T04:12:54.095721Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:12:54.095721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bourgain's slicing problem and KLS isoperimetry up to polylog","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG","math.PR"],"primary_cat":"math.FA","authors_text":"Bo'az Klartag, Joseph Lehec","submitted_at":"2022-03-29T13:34:14Z","abstract_excerpt":"We prove that Bourgain's hyperplane conjecture and the Kannan-Lov\\'asz-Simonovits (KLS) isoperimetric conjecture hold true up to a factor that is polylogarithmic in the dimension."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.15551","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2203.15551/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2203.15551","created_at":"2026-07-05T04:12:54.095781+00:00"},{"alias_kind":"arxiv_version","alias_value":"2203.15551v2","created_at":"2026-07-05T04:12:54.095781+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.15551","created_at":"2026-07-05T04:12:54.095781+00:00"},{"alias_kind":"pith_short_12","alias_value":"OZNIHPZ7GMLV","created_at":"2026-07-05T04:12:54.095781+00:00"},{"alias_kind":"pith_short_16","alias_value":"OZNIHPZ7GMLVEAUT","created_at":"2026-07-05T04:12:54.095781+00:00"},{"alias_kind":"pith_short_8","alias_value":"OZNIHPZ7","created_at":"2026-07-05T04:12:54.095781+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.07694","citing_title":"Minimum Norm Interpolation via The Local Theory of Banach Spaces: The Role of Gaussianity","ref_index":216,"is_internal_anchor":true},{"citing_arxiv_id":"2605.19809","citing_title":"Deterministic Volume Estimation of Truncated Hypercubes","ref_index":27,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OZNIHPZ7GMLVEAUTVO5W3LZQBZ","json":"https://pith.science/pith/OZNIHPZ7GMLVEAUTVO5W3LZQBZ.json","graph_json":"https://pith.science/api/pith-number/OZNIHPZ7GMLVEAUTVO5W3LZQBZ/graph.json","events_json":"https://pith.science/api/pith-number/OZNIHPZ7GMLVEAUTVO5W3LZQBZ/events.json","paper":"https://pith.science/paper/OZNIHPZ7"},"agent_actions":{"view_html":"https://pith.science/pith/OZNIHPZ7GMLVEAUTVO5W3LZQBZ","download_json":"https://pith.science/pith/OZNIHPZ7GMLVEAUTVO5W3LZQBZ.json","view_paper":"https://pith.science/paper/OZNIHPZ7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2203.15551&json=true","fetch_graph":"https://pith.science/api/pith-number/OZNIHPZ7GMLVEAUTVO5W3LZQBZ/graph.json","fetch_events":"https://pith.science/api/pith-number/OZNIHPZ7GMLVEAUTVO5W3LZQBZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OZNIHPZ7GMLVEAUTVO5W3LZQBZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OZNIHPZ7GMLVEAUTVO5W3LZQBZ/action/storage_attestation","attest_author":"https://pith.science/pith/OZNIHPZ7GMLVEAUTVO5W3LZQBZ/action/author_attestation","sign_citation":"https://pith.science/pith/OZNIHPZ7GMLVEAUTVO5W3LZQBZ/action/citation_signature","submit_replication":"https://pith.science/pith/OZNIHPZ7GMLVEAUTVO5W3LZQBZ/action/replication_record"}},"created_at":"2026-07-05T04:12:54.095781+00:00","updated_at":"2026-07-05T04:12:54.095781+00:00"}