Pith Number

pith:A3MMXL33

pith:2011:A3MMXL335FY4STQRXT2LE7NULS

not attested not anchored not stored refs pending

On a conjecture concerning the sum of independent Rademacher random variables

Martien C. A. van Zuijlen

arxiv:1112.4988 v1 · 2011-12-21 · math.PR · math.ST · 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{A3MMXL335FY4STQRXT2LE7NULS}

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	2026-05-18T04:05:56.585023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06d8cbaf7be971c94e11bcf4b27db45cb59ec7637924a09e11439e8903e29980

Aliases

arxiv: 1112.4988 · arxiv_version: 1112.4988v1 · doi: 10.48550/arxiv.1112.4988 · pith_short_12: A3MMXL335FY4 · pith_short_16: A3MMXL335FY4STQR · pith_short_8: A3MMXL33

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/A3MMXL335FY4STQRXT2LE7NULS \
  | 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: 06d8cbaf7be971c94e11bcf4b27db45cb59ec7637924a09e11439e8903e29980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce3a7fbff182ddea37371ef4f0976cf8e345744a2d19d14926e6a906bddd2001",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-21T11:08:51Z",
    "title_canon_sha256": "b4b974e01c7ab9e6cb4edb8abd334e7a8574a54d815b48ff8a30735b081b286e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4988",
    "kind": "arxiv",
    "version": 1
  }
}