Pith Number

pith:MCXDRCWL

pith:2013:MCXDRCWL57LA4IOK23ZA46NS76

not attested not anchored not stored refs pending

A functional central limit theorem for the partial sums of sorted i.i.d. random variables

David Renault, Jean-Fran\c{c}ois Marckert

arxiv:1302.6926 v1 · 2013-02-27 · math.ST · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCXDRCWL57LA4IOK23ZA46NS76}

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	2026-05-18T03:32:18.124667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60ae388acbefd60e21cad6f20e79b2ffb5a54a573344370c68b39df9cb3191ad

Aliases

arxiv: 1302.6926 · arxiv_version: 1302.6926v1 · doi: 10.48550/arxiv.1302.6926 · pith_short_12: MCXDRCWL57LA · pith_short_16: MCXDRCWL57LA4IOK · pith_short_8: MCXDRCWL

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/MCXDRCWL57LA4IOK23ZA46NS76 \
  | 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: 60ae388acbefd60e21cad6f20e79b2ffb5a54a573344370c68b39df9cb3191ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eee9bb01a2b791c602630f87401a1991c996efb0db40dadaaaf4f31970fac813",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-02-27T17:10:59Z",
    "title_canon_sha256": "6f334275a39a9855a7f58fb9b287b9328fde6cf4ae2b6e1c77f096616c04874f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6926",
    "kind": "arxiv",
    "version": 1
  }
}