Pith Number

pith:Y2H7YKLH

pith:2014:Y2H7YKLHRJ4KMOWRHRSKY4YMCU

not attested not anchored not stored refs pending

Lancaster distributions and Markov chains with Multivariate Poisson-Charlier, Meixner and Hermite-Chebycheff polynomial eigenfunctions

Robert Griffiths

arxiv:1412.3931 v3 · 2014-12-12 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2H7YKLHRJ4KMOWRHRSKY4YMCU}

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	2026-05-18T01:24:08.770835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c68ffc29678a78a63ad13c64ac730c15138fc2d6353bb92d816f7b3bb0bd3fd3

Aliases

arxiv: 1412.3931 · arxiv_version: 1412.3931v3 · doi: 10.48550/arxiv.1412.3931 · pith_short_12: Y2H7YKLHRJ4K · pith_short_16: Y2H7YKLHRJ4KMOWR · pith_short_8: Y2H7YKLH

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/Y2H7YKLHRJ4KMOWRHRSKY4YMCU \
  | 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: c68ffc29678a78a63ad13c64ac730c15138fc2d6353bb92d816f7b3bb0bd3fd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d364a28fb2aeba064eeb4ea50cc9b9b759655445e8a8e4be95ea3a35579f02c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-12T09:45:56Z",
    "title_canon_sha256": "cf0164093dbbc38944200565da94293a26252c0b8ae1ab747d9e8908c1fe20af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3931",
    "kind": "arxiv",
    "version": 3
  }
}