Pith Number

pith:6VMQ3G5F

pith:2013:6VMQ3G5FD6S3TSFRU7NVQCMD2D

not attested not anchored not stored refs pending

A refined enumeration of $p$-ary labeled trees

Heesung Shin, Seunghyun Seo

arxiv:1311.7492 v1 · 2013-11-29 · 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{6VMQ3G5FD6S3TSFRU7NVQCMD2D}

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	2026-07-05T04:06:38.793265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5590d9ba51fa5b9c8b1a7db580983d0c1775f6ee732230b5d754bf5d6c08e5d

Aliases

arxiv: 1311.7492 · arxiv_version: 1311.7492v1 · doi: 10.48550/arxiv.1311.7492 · pith_short_12: 6VMQ3G5FD6S3 · pith_short_16: 6VMQ3G5FD6S3TSFR · pith_short_8: 6VMQ3G5F

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/6VMQ3G5FD6S3TSFRU7NVQCMD2D \
  | 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: f5590d9ba51fa5b9c8b1a7db580983d0c1775f6ee732230b5d754bf5d6c08e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c16566e2de9516d702d15067865783afd61e8c1247c0dd8446802a792b8077",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-29T09:09:45Z",
    "title_canon_sha256": "92002cd716402c0a91516e4753fe8feb252532ac3d9f79f9a2e18d31a3d3de59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7492",
    "kind": "arxiv",
    "version": 1
  }
}