Pith Number

pith:D6O5QG7W

pith:2014:D6O5QG7WZOWC6KLDYTS54TWPTE

not attested not anchored not stored refs pending

Bell polynomials in combinatorial Hopf algebras

Ali Chouria, Ammar Aboud (ESI), Jean-Gabriel Luque, Jean-Paul Bultel, Olivier Mallet

arxiv:1402.2960 v3 · 2014-02-12 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6O5QG7WZOWC6KLDYTS54TWPTE}

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	2026-05-18T01:22:10.663167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f9dd81bf6cbac2f2963c4e5de4ecf99365b13a617aa8a0834346bd748be25af

Aliases

arxiv: 1402.2960 · arxiv_version: 1402.2960v3 · doi: 10.48550/arxiv.1402.2960 · pith_short_12: D6O5QG7WZOWC · pith_short_16: D6O5QG7WZOWC6KLD · pith_short_8: D6O5QG7W

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/D6O5QG7WZOWC6KLDYTS54TWPTE \
  | 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: 1f9dd81bf6cbac2f2963c4e5de4ecf99365b13a617aa8a0834346bd748be25af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0c2ed4fa1e518fd09a7314fb5a8267bba78e50baee11e0c8309c855bebe00f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-12T20:23:42Z",
    "title_canon_sha256": "c47a4133988731e0617cc0e5314f064110fc8a6219b22021b85089d0a7091889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2960",
    "kind": "arxiv",
    "version": 3
  }
}