Pith Number

pith:LZERPYWJ

pith:2014:LZERPYWJGN6ZV5B44LKC3RPG7M

not attested not anchored not stored refs pending

Random recursive trees: A boundary theory approach

Igor Michailow, Rudolf Gr\"ubel

arxiv:1406.7614 v1 · 2014-06-30 · 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{LZERPYWJGN6ZV5B44LKC3RPG7M}

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	2026-05-18T02:48:44.624479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e4917e2c9337d9af43ce2d42dc5e6fb21ff48ed7c831d44ac9cca2a1153e5be

Aliases

arxiv: 1406.7614 · arxiv_version: 1406.7614v1 · doi: 10.48550/arxiv.1406.7614 · pith_short_12: LZERPYWJGN6Z · pith_short_16: LZERPYWJGN6ZV5B4 · pith_short_8: LZERPYWJ

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/LZERPYWJGN6ZV5B44LKC3RPG7M \
  | 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: 5e4917e2c9337d9af43ce2d42dc5e6fb21ff48ed7c831d44ac9cca2a1153e5be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee3add90f7543cdfea88ad11cb592506934c3ecb4ad20c48f29c9385f0546c26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-30T06:49:52Z",
    "title_canon_sha256": "ca998ba74461b18e952902b8171b2b72263657469fae6fce71e8245f3c56689d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7614",
    "kind": "arxiv",
    "version": 1
  }
}