Pith Number

pith:3RZMQDXK

pith:2016:3RZMQDXK4SMPOYCELRO5VMWNC4

not attested not anchored not stored refs pending

Rank Verification for Exponential Families

Kenneth Hung, William Fithian

arxiv:1610.03944 v2 · 2016-10-13 · stat.ME · 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{3RZMQDXK4SMPOYCELRO5VMWNC4}

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	2026-05-17T23:51:00.473540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc72c80eeae498f760445c5ddab2cd17242443dbc96de8d4bfa54b177f78f2c2

Aliases

arxiv: 1610.03944 · arxiv_version: 1610.03944v2 · doi: 10.48550/arxiv.1610.03944 · pith_short_12: 3RZMQDXK4SMP · pith_short_16: 3RZMQDXK4SMPOYCE · pith_short_8: 3RZMQDXK

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/3RZMQDXK4SMPOYCELRO5VMWNC4 \
  | 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: dc72c80eeae498f760445c5ddab2cd17242443dbc96de8d4bfa54b177f78f2c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f190b753a52b765a4057c7d7ee3efebede2fe3bfddd6c5b8a75aaa35c74bf832",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-10-13T05:34:30Z",
    "title_canon_sha256": "5b49e5524003236cbdc6b66a760c90b62cbeb6eecdf63ae89a0aaa3027e07a59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03944",
    "kind": "arxiv",
    "version": 2
  }
}