Pith Number

pith:MLKWF7V7

pith:2007:MLKWF7V7KLZES5QW4CVYLA3R2B

not attested not anchored not stored refs pending

Data-driven goodness-of-fit tests

Mikhail Langovoy

arxiv:0708.0169 v4 · 2007-08-01 · math.ST · math.PR · stat.ME · 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{MLKWF7V7KLZES5QW4CVYLA3R2B}

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	2026-05-18T00:34:39.743294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62d562febf52f2497616e0ab858371d06fe37685702130c492aadd119d1326f2

Aliases

arxiv: 0708.0169 · arxiv_version: 0708.0169v4 · doi: 10.48550/arxiv.0708.0169 · pith_short_12: MLKWF7V7KLZE · pith_short_16: MLKWF7V7KLZES5QW · pith_short_8: MLKWF7V7

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/MLKWF7V7KLZES5QW4CVYLA3R2B \
  | 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: 62d562febf52f2497616e0ab858371d06fe37685702130c492aadd119d1326f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab568fd32d202a62000dea92a4f8bdb29f486c1cbfc7b928faec3797f09f5cb",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2007-08-01T14:54:16Z",
    "title_canon_sha256": "e6eb14212a2666ad7f259e6dc969ff10ae0c8f10c4d53c302838f86cba7e69eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0169",
    "kind": "arxiv",
    "version": 4
  }
}