Pith Number

pith:VXRMYHFD

pith:2014:VXRMYHFDWAA5CCMV2FWIQFHOWJ

not attested not anchored not stored refs pending

Five interpretations of Fa\`a di Bruno's formula

Alessandra Frabetti (ICJ), Dominique Manchon

arxiv:1402.5551 v1 · 2014-02-22 · math.CO · math-ph · math.GR · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXRMYHFDWAA5CCMV2FWIQFHOWJ}

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	2026-05-18T02:58:14.529178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade2cc1ca3b001d10995d16c8814eeb27b7de2d10e7fd5f27917c0a45d61273d

Aliases

arxiv: 1402.5551 · arxiv_version: 1402.5551v1 · doi: 10.48550/arxiv.1402.5551 · pith_short_12: VXRMYHFDWAA5 · pith_short_16: VXRMYHFDWAA5CCMV · pith_short_8: VXRMYHFD

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/VXRMYHFDWAA5CCMV2FWIQFHOWJ \
  | 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: ade2cc1ca3b001d10995d16c8814eeb27b7de2d10e7fd5f27917c0a45d61273d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26a65aba5fc73ab14873cf47d5390ccff00cb137af14661f19aa602d74bb31f",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-22T20:33:33Z",
    "title_canon_sha256": "7e69d3ec5fbfb29ea3a0c1b810e91ed8ba924e17b4cca4c91809db2bab37da5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5551",
    "kind": "arxiv",
    "version": 1
  }
}