Pith Number

pith:JTS7M3SK

pith:2019:JTS7M3SK6MDX52HF52IGR2YQN7

not attested not anchored not stored refs pending

On the number of crossings in a random labelled tree with vertices in convex position

Clemens Huemer, Octavio Arizmendi, Pilar Cano

arxiv:1902.05223 v1 · 2019-02-14 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTS7M3SK6MDX52HF52IGR2YQN7}

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	2026-05-17T23:54:01.551742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ce5f66e4af3077ee8e5ee9068eb106fe10c8fa4ff740848f820b1ee90b756f5

Aliases

arxiv: 1902.05223 · arxiv_version: 1902.05223v1 · doi: 10.48550/arxiv.1902.05223 · pith_short_12: JTS7M3SK6MDX · pith_short_16: JTS7M3SK6MDX52HF · pith_short_8: JTS7M3SK

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/JTS7M3SK6MDX52HF52IGR2YQN7 \
  | 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: 4ce5f66e4af3077ee8e5ee9068eb106fe10c8fa4ff740848f820b1ee90b756f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "655c6b41c36ba2b27435679dbf10f55432205c6e5e3df9863527b786de3b6bb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-14T05:09:01Z",
    "title_canon_sha256": "c15c2a8c510df89b1b5241d9435f5f163ba0a8e5c969748ab6acd9f868a01611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05223",
    "kind": "arxiv",
    "version": 1
  }
}