Pith Number

pith:EQMS5RIR

pith:2013:EQMS5RIRQTZHLVNCZZ7LN2LB5W

not attested not anchored not stored refs pending

Probabilistic approach to Appell polynomials

Bao Quoc Ta

arxiv:1311.4999 v1 · 2013-11-20 · 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{EQMS5RIRQTZHLVNCZZ7LN2LB5W}

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	2026-05-18T03:06:42.230884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24192ec51184f275d5a2ce7eb6e961edbf1ddab0f41ea23476e54f762a6fe50d

Aliases

arxiv: 1311.4999 · arxiv_version: 1311.4999v1 · doi: 10.48550/arxiv.1311.4999 · pith_short_12: EQMS5RIRQTZH · pith_short_16: EQMS5RIRQTZHLVNC · pith_short_8: EQMS5RIR

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/EQMS5RIRQTZHLVNCZZ7LN2LB5W \
  | 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: 24192ec51184f275d5a2ce7eb6e961edbf1ddab0f41ea23476e54f762a6fe50d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02e6b98c5e6b60e85fcc28f75ecea4088faf60aeecf1f1d3877aad95b5bc4135",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-20T10:15:37Z",
    "title_canon_sha256": "3039eb2364b80976e3f7c7fb4c72d56c10b02da63991401e98d031c42a1e0078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4999",
    "kind": "arxiv",
    "version": 1
  }
}