Pith Number

pith:W3SX7REN

pith:2006:W3SX7RENSEN3IQIW2277MWZDLF

not attested not anchored not stored refs pending

A test for equality of multinomial distributions vs increasing convex order

Arthur Cohen, Harold Sackrowitz, John Kolassa

arxiv:math/0611691 v1 · 2006-11-22 · 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{W3SX7RENSEN3IQIW2277MWZDLF}

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	2026-07-04T15:02:05.457436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6e57fc48d911bb44116d6bff65b235968482cba74b9b8bb4d858f55d7751d71

Aliases

arxiv: math/0611691 · arxiv_version: math/0611691v1 · doi: 10.48550/arxiv.math/0611691 · pith_short_12: W3SX7RENSEN3 · pith_short_16: W3SX7RENSEN3IQIW · pith_short_8: W3SX7REN

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/W3SX7RENSEN3IQIW2277MWZDLF \
  | 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: b6e57fc48d911bb44116d6bff65b235968482cba74b9b8bb4d858f55d7751d71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eae19c0daa648ebb648d26dc12c1eb3d81030ffc2051d23d8c376e7f1a2177b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2006-11-22T12:45:39Z",
    "title_canon_sha256": "9e16fd53cc8f0ea4ce672d294d591fde0bdeadf6bf5d3a1a20cbee1c62e08cd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611691",
    "kind": "arxiv",
    "version": 1
  }
}