Pith Number

pith:QTQ3XTQ6

pith:2013:QTQ3XTQ6N35ULS2DSWOHKCXECG

not attested not anchored not stored refs pending

An edge-weighted hook formula for labelled trees

A. Lascoux, I. P. Goulden, Valentin F\'eray

arxiv:1310.4093 v2 · 2013-10-15 · 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{QTQ3XTQ6N35ULS2DSWOHKCXECG}

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	2026-05-18T01:30:35.634213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84e1bbce1e6efb45cb43959c750ae411b2bda6938a2eb9a358ce5c594dcde072

Aliases

arxiv: 1310.4093 · arxiv_version: 1310.4093v2 · doi: 10.48550/arxiv.1310.4093 · pith_short_12: QTQ3XTQ6N35U · pith_short_16: QTQ3XTQ6N35ULS2D · pith_short_8: QTQ3XTQ6

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/QTQ3XTQ6N35ULS2DSWOHKCXECG \
  | 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: 84e1bbce1e6efb45cb43959c750ae411b2bda6938a2eb9a358ce5c594dcde072

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10b12621604a9460c3b1e05e7b1f5280fda485b9f27120a700e9a1135261ddba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-15T15:50:52Z",
    "title_canon_sha256": "8d46f7a4cf6cf03f98d0cdf9a8ca599a2198ae301f809ec2bdf850f171833b69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4093",
    "kind": "arxiv",
    "version": 2
  }
}