Pith Number

pith:4JFU6EGD

pith:2017:4JFU6EGD7GVZQVJRSDWYYZ4IWC

not attested not anchored not stored refs pending

High-dimensional limit theorems for random vectors in $\ell_p^n$-balls

Christoph Thaele, Joscha Prochno, Zakhar Kabluchko

arxiv:1709.09470 v1 · 2017-09-27 · math.FA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JFU6EGD7GVZQVJRSDWYYZ4IWC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T00:34:11.655161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e24b4f10c3f9ab98553190ed8c6788b0966680e8387ac50f9232978daaeafb12

Aliases

arxiv: 1709.09470 · arxiv_version: 1709.09470v1 · doi: 10.48550/arxiv.1709.09470 · pith_short_12: 4JFU6EGD7GVZ · pith_short_16: 4JFU6EGD7GVZQVJR · pith_short_8: 4JFU6EGD

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/4JFU6EGD7GVZQVJRSDWYYZ4IWC \
  | 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: e24b4f10c3f9ab98553190ed8c6788b0966680e8387ac50f9232978daaeafb12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b2c79b9c86e7274d7067b4d21561fe7f9a9f1f105449d5441f4f386299aef87",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-27T12:23:04Z",
    "title_canon_sha256": "3fff08c466c99c96634c5538bf4f2a9b420f6fe7e6221a706eabb510ba54f1e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09470",
    "kind": "arxiv",
    "version": 1
  }
}