Pith Number

pith:LQUNWDFO

pith:2013:LQUNWDFOOYLBQUM7OLZVHK56NH

not attested not anchored not stored refs pending

Random subtrees of complete graphs

Alex J. Chin, Charles Vincent, Gary Gordon, Kellie J. MacPhee

arxiv:1308.4613 v1 · 2013-08-21 · 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{LQUNWDFOOYLBQUM7OLZVHK56NH}

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	2026-05-18T03:15:21.528561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c28db0cae761618519f72f353abbe69ccda44541724bf01e53a41a7407c2343

Aliases

arxiv: 1308.4613 · arxiv_version: 1308.4613v1 · doi: 10.48550/arxiv.1308.4613 · pith_short_12: LQUNWDFOOYLB · pith_short_16: LQUNWDFOOYLBQUM7 · pith_short_8: LQUNWDFO

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/LQUNWDFOOYLBQUM7OLZVHK56NH \
  | 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: 5c28db0cae761618519f72f353abbe69ccda44541724bf01e53a41a7407c2343

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2de6e8476e106e65948956545856d8adba70e7fe6f4b1523740877228f76b382",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-21T15:27:42Z",
    "title_canon_sha256": "ead54761356578b05a4b57a676cd88976c55279a5796da40740c2841a6241e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4613",
    "kind": "arxiv",
    "version": 1
  }
}