Pith Number

pith:I52BVVQD

pith:2006:I52BVVQDHY35RTCWXULF5NMYZW

not attested not anchored not stored refs pending

The Distribution of Patterns in Random Trees

Fr\'ed\'eric Chyzak (INRIA Rocquencourt), Gerard Kok, Michael Drmota, Thomas Klausner

arxiv:cs/0605019 v1 · 2006-05-05 · cs.DM · 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{I52BVVQDHY35RTCWXULF5NMYZW}

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	2026-05-18T01:08:54.785431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47741ad6033e37d8cc56bd165eb598cd85e6b4726309e9cc1ce9df5a0653629e

Aliases

arxiv: cs/0605019 · arxiv_version: cs/0605019v1 · doi: 10.48550/arxiv.cs/0605019 · pith_short_12: I52BVVQDHY35 · pith_short_16: I52BVVQDHY35RTCW · pith_short_8: I52BVVQD

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/I52BVVQDHY35RTCWXULF5NMYZW \
  | 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: 47741ad6033e37d8cc56bd165eb598cd85e6b4726309e9cc1ce9df5a0653629e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fcac9bbd59146d6d3e187970d87adaebc883d48fa540aaf71fc2b707dea21c0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "cs.DM",
    "submitted_at": "2006-05-05T09:31:01Z",
    "title_canon_sha256": "fe1179f2355a791550d4a2e469bcce29d328655ef0566d69b88dadfe96754ed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0605019",
    "kind": "arxiv",
    "version": 1
  }
}