Pith Number

pith:T44TCBXQ

pith:2026:T44TCBXQD5LFH6RZXQBNEKX5DI

not attested not anchored not stored refs pending

High-Dimensional Statistics: Reflections on Progress and Open Problems

Ali Shojaie, Anru Zhang, Arian Maleki, Chao Gao, Christos Thrampoulidis, Jason M. Klusowski, Po-Ling Loh, Rishabh Dudeja, Sivaraman Balakrishnan, Subhabrata Sen, Verena Zuber, Weijie Su

High-dimensional statistics has evolved to tackle sophisticated problems in complex datasets by building connections across multiple mathematical and computational fields.

arxiv:2605.05076 v2 · 2026-05-06 · math.ST · stat.CO · stat.ME · stat.ML · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T44TCBXQD5LFH6RZXQBNEKX5DI}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Over the past two decades high-dimensional statistics has evolved to address sophisticated estimation and inference problems in complex datasets, fostering deep connections with optimization, concentration of measure, random matrix theory, information theory, and theoretical computer science.

C2weakest assumption

That the chosen representative advances and highlighted open problems accurately capture the field's most important developments and gaps without systematic omission of major threads.

C3one line summary

A survey synthesizing representative advances, common themes, and open problems in high-dimensional statistics while pointing to key entry-point works.

Receipt and verification

First computed	2026-05-26T02:04:12.232825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f393106f01f5653fa39bc02d22afd1a1c7233d1b168c1379610c12a7a272721

Aliases

arxiv: 2605.05076 · arxiv_version: 2605.05076v2 · doi: 10.48550/arxiv.2605.05076 · pith_short_12: T44TCBXQD5LF · pith_short_16: T44TCBXQD5LFH6RZ · pith_short_8: T44TCBXQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/T44TCBXQD5LFH6RZXQBNEKX5DI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9f393106f01f5653fa39bc02d22afd1a1c7233d1b168c1379610c12a7a272721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dffd489fd18a8d7e69207163fe08fc0a0717c2f7989ee789fde6701e2c8830e",
    "cross_cats_sorted": [
      "stat.CO",
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-05-06T16:11:09Z",
    "title_canon_sha256": "7d4b5a1da709a787a0cabe1c78dc9dd6830653512a721216910b9cbc597cc990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.05076",
    "kind": "arxiv",
    "version": 2
  }
}