Pith Number

pith:J7N6XZ5P

pith:2011:J7N6XZ5PFG5R3TJRHFDORDFI3V

not attested not anchored not stored refs pending

A multiset hook length formula and some applications

Guo-Niu Han, Paul-Olivier Dehaye

arxiv:1104.5435 v3 · 2011-04-28 · 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{J7N6XZ5PFG5R3TJRHFDORDFI3V}

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	2026-05-18T04:22:39.654053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fdbebe7af29bb1dcd313946e88ca8dd7256272110128acce4e3b918077a4d07

Aliases

arxiv: 1104.5435 · arxiv_version: 1104.5435v3 · doi: 10.48550/arxiv.1104.5435 · pith_short_12: J7N6XZ5PFG5R · pith_short_16: J7N6XZ5PFG5R3TJR · pith_short_8: J7N6XZ5P

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/J7N6XZ5PFG5R3TJRHFDORDFI3V \
  | 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: 4fdbebe7af29bb1dcd313946e88ca8dd7256272110128acce4e3b918077a4d07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ce679022ec6440a44a73379e57a023802df5b611e5a5ab1b5d260a0190f71cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-28T16:18:38Z",
    "title_canon_sha256": "d7b5b16449747b3ad1f03f8e6617ebc36420f44819a2ddeddcbfed0bd2113790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5435",
    "kind": "arxiv",
    "version": 3
  }
}