Pith Number

pith:5WOAYD34

pith:2018:5WOAYD342XPN5RXTSEC4IFPJW7

not attested not anchored not stored refs pending

On central Fubini-like numbers and polynomials

Hac\`ene Belbachir, Yahia Djemmada

arxiv:1811.06734 v1 · 2018-11-16 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WOAYD342XPN5RXTSEC4IFPJW7}

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	2026-05-18T00:00:34.008950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed9c0c0f7cd5dedec6f39105c415e9b7cb1355d50bf64acab20abb7b6505fc3f

Aliases

arxiv: 1811.06734 · arxiv_version: 1811.06734v1 · doi: 10.48550/arxiv.1811.06734 · pith_short_12: 5WOAYD342XPN · pith_short_16: 5WOAYD342XPN5RXT · pith_short_8: 5WOAYD34

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/5WOAYD342XPN5RXTSEC4IFPJW7 \
  | 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: ed9c0c0f7cd5dedec6f39105c415e9b7cb1355d50bf64acab20abb7b6505fc3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b70b3839c52844d7deb1c37cb6c14e7410dc7f30b3ae7a39d989eae6618cea18",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-16T09:57:15Z",
    "title_canon_sha256": "b41a0cc91203af2c172d4e7984b4e2c215b2a1c3855d7ce30e1531717ff38163"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06734",
    "kind": "arxiv",
    "version": 1
  }
}