Pith Number

pith:UUZR3VE4

pith:2018:UUZR3VE4TEEED5JRNP2D5VKOHH

not attested not anchored not stored refs pending

Cumulative distribution functions for the five simplest natural exponential families

G\'erard Letac

arxiv:1807.11260 v1 · 2018-07-30 · 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{UUZR3VE4TEEED5JRNP2D5VKOHH}

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	2026-05-18T00:09:32.474928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5331dd49c990841f5316bf43ed54e39e026c72b4ae5211f28d7a3efac372378

Aliases

arxiv: 1807.11260 · arxiv_version: 1807.11260v1 · doi: 10.48550/arxiv.1807.11260 · pith_short_12: UUZR3VE4TEEE · pith_short_16: UUZR3VE4TEEED5JR · pith_short_8: UUZR3VE4

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/UUZR3VE4TEEED5JRNP2D5VKOHH \
  | 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: a5331dd49c990841f5316bf43ed54e39e026c72b4ae5211f28d7a3efac372378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "069f6f05e94b7b64981b499db12991689d5e255f4bd5c14fd3202084d0e51f2c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-07-30T09:55:47Z",
    "title_canon_sha256": "302d411cf563cb3056a58d68fea10c3ec11f4378c0a254b1448a0d4ac0a758d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11260",
    "kind": "arxiv",
    "version": 1
  }
}