Pith Number

pith:YNRWERMK

pith:2020:YNRWERMK3LWYSFKFARASASMXVY

not attested not anchored not stored refs pending

Inference on the History of a Randomly Growing Tree

Harry Crane, Min Xu

arxiv:2005.08794 v3 · 2020-05-18 · math.PR · math.ST · stat.CO · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNRWERMK3LWYSFKFARASASMXVY}

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	2026-07-05T02:06:50.018672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c36362458adaed8915450441204997ae231d0cd783a410251cd54f6fa5a7cc71

Aliases

arxiv: 2005.08794 · arxiv_version: 2005.08794v3 · doi: 10.48550/arxiv.2005.08794 · pith_short_12: YNRWERMK3LWY · pith_short_16: YNRWERMK3LWYSFKF · pith_short_8: YNRWERMK

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/YNRWERMK3LWYSFKFARASASMXVY \
  | 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: c36362458adaed8915450441204997ae231d0cd783a410251cd54f6fa5a7cc71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e58ca52d75c05511663cb9997b9ec0f1f7a75482d7c524d5c2fe13b44d7f7eb",
    "cross_cats_sorted": [
      "math.ST",
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-05-18T15:15:15Z",
    "title_canon_sha256": "d9e67ffa89470dc29a8c90849991cd1ebf586b4fe9ebe32f2e255fdb313f0911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.08794",
    "kind": "arxiv",
    "version": 3
  }
}