Pith Number

pith:WFEEHI7L

pith:2013:WFEEHI7LE6XRY7RG6H56FZD5S4

not attested not anchored not stored refs pending

Counting unlabeled k-trees

Andrew Gainer-Dewar, Ira M. Gessel

arxiv:1309.1429 v3 · 2013-09-05 · 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{WFEEHI7LE6XRY7RG6H56FZD5S4}

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	2026-05-18T01:33:24.578373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14843a3eb27af1c7e26f1fbe2e47d97387e5885cd2cc89861bd0d6fbbcc1740

Aliases

arxiv: 1309.1429 · arxiv_version: 1309.1429v3 · doi: 10.48550/arxiv.1309.1429 · pith_short_12: WFEEHI7LE6XR · pith_short_16: WFEEHI7LE6XRY7RG · pith_short_8: WFEEHI7L

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/WFEEHI7LE6XRY7RG6H56FZD5S4 \
  | 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: b14843a3eb27af1c7e26f1fbe2e47d97387e5885cd2cc89861bd0d6fbbcc1740

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d25d5fa9a7856301a0894c6794feb72140570592eed803b96bdcee3e64d50d5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-05T18:40:23Z",
    "title_canon_sha256": "cd146b6309b483b4104369afff5d9f1333a50b73ce97ac973fdaa40312d8c929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1429",
    "kind": "arxiv",
    "version": 3
  }
}