Pith Number

pith:DJVGPHJK

pith:2010:DJVGPHJKUNYZL5WPUOP7KRJVHO

not attested not anchored not stored refs pending

A new algorithm for computing the multivariate Fa\`a di Bruno's formula

D. Senato, E. Di Nardo, G. Guarino

arxiv:1012.6008 v1 · 2010-12-29 · math.CO · 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{DJVGPHJKUNYZL5WPUOP7KRJVHO}

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	2026-05-18T04:32:20.784942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a6a679d2aa37195f6cfa39ff545353b9a8e7ebcefcb9fb9c93644b93de54e97

Aliases

arxiv: 1012.6008 · arxiv_version: 1012.6008v1 · doi: 10.48550/arxiv.1012.6008 · pith_short_12: DJVGPHJKUNYZ · pith_short_16: DJVGPHJKUNYZL5WP · pith_short_8: DJVGPHJK

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/DJVGPHJKUNYZL5WPUOP7KRJVHO \
  | 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: 1a6a679d2aa37195f6cfa39ff545353b9a8e7ebcefcb9fb9c93644b93de54e97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64788346f87e44e4ae7843acec03f6ac9cf5c060b27793c8e390b9c052e39eac",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-29T19:20:00Z",
    "title_canon_sha256": "84a133e80f2064f8fbddf7859700afd99abf7146590741cc5eb771874f950f04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.6008",
    "kind": "arxiv",
    "version": 1
  }
}