Pith Number

pith:PQGMZGC6

pith:2018:PQGMZGC62QFX74WXMOD6ZFL4WR

not attested not anchored not stored refs pending

Limiting probabilities for vertices of a given rank in rooted trees

Istvan Mezo, Miklos Bona

arxiv:1803.05033 v1 · 2018-03-13 · 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{PQGMZGC62QFX74WXMOD6ZFL4WR}

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	2026-05-18T00:21:02.239900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c0ccc985ed40b7ff2d76387ec957cb477fb5e565998465b94eb48a59dc7ad08

Aliases

arxiv: 1803.05033 · arxiv_version: 1803.05033v1 · doi: 10.48550/arxiv.1803.05033 · pith_short_12: PQGMZGC62QFX · pith_short_16: PQGMZGC62QFX74WX · pith_short_8: PQGMZGC6

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/PQGMZGC62QFX74WXMOD6ZFL4WR \
  | 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: 7c0ccc985ed40b7ff2d76387ec957cb477fb5e565998465b94eb48a59dc7ad08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24e8b005c696fdfee4d540af59cc923160e8c3f3798b502444fd830587c33bb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-13T20:19:16Z",
    "title_canon_sha256": "418de6c8ac29aca72728b531b8b7f62c9452e0d98e47eea97448aa5b83a0977e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05033",
    "kind": "arxiv",
    "version": 1
  }
}