Pith Number

pith:UT5QJAT6

pith:2016:UT5QJAT6AMEDTDIQE6ICYM3IFH

not attested not anchored not stored refs pending

$r-$Bell polynomials in combinatorial Hopf algebras

Ali Chouria, Jean-Gabriel Luque

arxiv:1607.03651 v1 · 2016-07-13 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UT5QJAT6AMEDTDIQE6ICYM3IFH}

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	2026-05-18T00:40:54.048824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4fb04827e0308398d1027902c336829fcaaef907bb886b8d1eee0e690306d5f

Aliases

arxiv: 1607.03651 · arxiv_version: 1607.03651v1 · doi: 10.48550/arxiv.1607.03651 · pith_short_12: UT5QJAT6AMED · pith_short_16: UT5QJAT6AMEDTDIQ · pith_short_8: UT5QJAT6

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/UT5QJAT6AMEDTDIQE6ICYM3IFH \
  | 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: a4fb04827e0308398d1027902c336829fcaaef907bb886b8d1eee0e690306d5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "283d87ded7f97152cdc8f9b419d3d0c0b3f20ddc374d6334b7fbbd0489a19bfc",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-13T09:16:54Z",
    "title_canon_sha256": "923a2ab7ab2fbbfdbe11414696d794bcf2481d9d0473c21423036134ab7296b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03651",
    "kind": "arxiv",
    "version": 1
  }
}