Pith Number

pith:LUOJFOX4

pith:2016:LUOJFOX4A2SRVF7YQLDNKT7FTA

not attested not anchored not stored refs pending

A note on the scaling limits of random P\'olya trees

Bernhard Gittenberger, Emma Yu Jin, Michael Wallner

arxiv:1606.08769 v3 · 2016-06-28 · 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{LUOJFOX4A2SRVF7YQLDNKT7FTA}

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	2026-05-18T01:00:19.232607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d1c92bafc06a51a97f882c6d54fe5982f67fb62a1ce29cb3ba193a6ce4c3ac2

Aliases

arxiv: 1606.08769 · arxiv_version: 1606.08769v3 · doi: 10.48550/arxiv.1606.08769 · pith_short_12: LUOJFOX4A2SR · pith_short_16: LUOJFOX4A2SRVF7Y · pith_short_8: LUOJFOX4

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/LUOJFOX4A2SRVF7YQLDNKT7FTA \
  | 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: 5d1c92bafc06a51a97f882c6d54fe5982f67fb62a1ce29cb3ba193a6ce4c3ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6211dd4019bcdfab81b6c33c5ebd31d85d936fcc6bdddef9d95aee52db0c34a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-28T16:00:22Z",
    "title_canon_sha256": "f0666855edc326515538a1dc3d6faa8886cdd769958819c61118f359386a4a20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08769",
    "kind": "arxiv",
    "version": 3
  }
}