Pith Number

pith:QLPQZUQ5

pith:2017:QLPQZUQ5QIBHXXVDITMCTTQQAK

not attested not anchored not stored refs pending

Some Distributions on Finite Rooted Binary Trees

Mareike Fischer, Raazesh Sainudiin, Robert C. Griffiths, Sean Cleary

arxiv:1708.06130 v1 · 2017-08-21 · math.CO · math.GR · 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{QLPQZUQ5QIBHXXVDITMCTTQQAK}

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	2026-05-18T00:37:43.130472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82df0cd21d82027bdea344d829ce1002aea6eb43d37b08aa012845bfaa120096

Aliases

arxiv: 1708.06130 · arxiv_version: 1708.06130v1 · doi: 10.48550/arxiv.1708.06130 · pith_short_12: QLPQZUQ5QIBH · pith_short_16: QLPQZUQ5QIBHXXVD · pith_short_8: QLPQZUQ5

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/QLPQZUQ5QIBHXXVDITMCTTQQAK \
  | 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: 82df0cd21d82027bdea344d829ce1002aea6eb43d37b08aa012845bfaa120096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "963721ead4d52d1ddf15ef299f66d34b530a1c266e60ddf7860b2e8b91213196",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-21T09:53:34Z",
    "title_canon_sha256": "23db71e1e59f7ecb50a0ed9dbef1f82b12dde52ff5ad33e46d7092745d1c536b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06130",
    "kind": "arxiv",
    "version": 1
  }
}