{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:SEJWDHJCCP5XPD6YGMAJO5F5IP","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":"5bcaaf4ffa279633024bdd86a4e3be0957a570859cc42ca0a473c6eac86bbec7","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-08-01T16:28:22Z","title_canon_sha256":"0a91a68b7a960bd557b14e20f376d693fd8a055db8be286689044cd3cebb6ae3"},"schema_version":"1.0","source":{"id":"2308.00649","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.00649","created_at":"2026-07-05T06:37:04Z"},{"alias_kind":"arxiv_version","alias_value":"2308.00649v1","created_at":"2026-07-05T06:37:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.00649","created_at":"2026-07-05T06:37:04Z"},{"alias_kind":"pith_short_12","alias_value":"SEJWDHJCCP5X","created_at":"2026-07-05T06:37:04Z"},{"alias_kind":"pith_short_16","alias_value":"SEJWDHJCCP5XPD6Y","created_at":"2026-07-05T06:37:04Z"},{"alias_kind":"pith_short_8","alias_value":"SEJWDHJC","created_at":"2026-07-05T06:37:04Z"}],"graph_snapshots":[{"event_id":"sha256:511e527f8ec8dd6b15060b8da4bc770bc1c55ad0f40997a41f3d178c98fb5796","target":"graph","created_at":"2026-07-05T06:37:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2308.00649/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $(k_n)_{n \\in \\mathbb{N}}$ be a sequence of positive integers growing to infinity at a sublinear rate, $k_n \\rightarrow \\infty$ and $k_n/n \\rightarrow 0$ as $n \\rightarrow \\infty$. Given a sequence of $n$-dimensional random vectors $\\{Y^{(n)}\\}_{n \\in \\mathbb{N}}$ belonging to a certain class, which includes uniform distributions on suitably scaled $\\ell_p^n$-balls or $\\ell_p^n$-spheres, $p \\geq 2$, and product distributions with sub-Gaussian marginals, we study the large deviations behavior of the corresponding sequence of $k_n$-dimensional orthogonal projections $n^{-1/2} \\boldsymbol{a}_","authors_text":"Kavita Ramanan, Patrick Lopatto, Xiaoyu Xie","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-08-01T16:28:22Z","title":"Quenched large deviation principles for random projections of $\\ell_p^n$ balls"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.00649","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":"sha256:8080a38e0e15763d4186e124f0e8d1c2e1ad33249da713b8944a75c54b117e7b","target":"record","created_at":"2026-07-05T06:37:04Z","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":"5bcaaf4ffa279633024bdd86a4e3be0957a570859cc42ca0a473c6eac86bbec7","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-08-01T16:28:22Z","title_canon_sha256":"0a91a68b7a960bd557b14e20f376d693fd8a055db8be286689044cd3cebb6ae3"},"schema_version":"1.0","source":{"id":"2308.00649","kind":"arxiv","version":1}},"canonical_sha256":"9113619d2213fb778fd833009774bd43fd946abe2b50a3b3ba090c6ed5a230de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9113619d2213fb778fd833009774bd43fd946abe2b50a3b3ba090c6ed5a230de","first_computed_at":"2026-07-05T06:37:04.958685Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:37:04.958685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZQco3yTgDflo7b6ryAMIn5Vh4lEeWXnSL9rK7qjFvh0zRvDjjooAkFSbcOZI20YkEskAQVA1/o9IOuYNh7jGDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:37:04.959127Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.00649","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8080a38e0e15763d4186e124f0e8d1c2e1ad33249da713b8944a75c54b117e7b","sha256:511e527f8ec8dd6b15060b8da4bc770bc1c55ad0f40997a41f3d178c98fb5796"],"state_sha256":"7ef2d2a0eaee84f93b8ee9b32e0d829b7554a62a1c13eb3171b83000eb82ae6c"}