Pith Number

pith:SRMQVGP6

pith:2010:SRMQVGP6Y7CCWUY73EMQ4THPWV

not attested not anchored not stored refs pending

Ranking and unranking trees with given degree sequences

Jeffery B. Remmel, S. Gill Williamson

arxiv:1009.2059 v1 · 2010-09-10 · 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{SRMQVGP6Y7CCWUY73EMQ4THPWV}

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	2026-05-18T04:41:05.523660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94590a99fec7c42b531fd9190e4cefb57c93ee6a9169a66f44f4848c264e0d36

Aliases

arxiv: 1009.2059 · arxiv_version: 1009.2059v1 · doi: 10.48550/arxiv.1009.2059 · pith_short_12: SRMQVGP6Y7CC · pith_short_16: SRMQVGP6Y7CCWUY7 · pith_short_8: SRMQVGP6

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/SRMQVGP6Y7CCWUY73EMQ4THPWV \
  | 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: 94590a99fec7c42b531fd9190e4cefb57c93ee6a9169a66f44f4848c264e0d36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369c0ef25ef5b276c72af66d14dfced51b786e151b1e8e02990ed0de16a5ca5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-10T17:15:51Z",
    "title_canon_sha256": "ce9a651ace8311e0750f0aec11e17dd02f35556133ff5f21487699927f010981"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2059",
    "kind": "arxiv",
    "version": 1
  }
}