Pith Number

pith:WTAO6MCE

pith:2021:WTAO6MCELH7B2K52USAWA3KHSC

not attested not anchored not stored refs pending

Maximum Likelihood Estimation for Brownian Motion Tree Models Based on One Sample

Caroline Uhler, Chandler Squires, Jan-Christian H\"utter, Michael Truell, Piotr Zwiernik

arxiv:2112.00816 v2 · 2021-12-01 · stat.ME · math.ST · 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{WTAO6MCELH7B2K52USAWA3KHSC}

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	2026-07-05T05:19:12.122364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4c0ef304459fe1d2bbaa481606d4790a79063adf2f6adfe148babac2c1f3045

Aliases

arxiv: 2112.00816 · arxiv_version: 2112.00816v2 · doi: 10.48550/arxiv.2112.00816 · pith_short_12: WTAO6MCELH7B · pith_short_16: WTAO6MCELH7B2K52 · pith_short_8: WTAO6MCE

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/WTAO6MCELH7B2K52USAWA3KHSC \
  | 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: b4c0ef304459fe1d2bbaa481606d4790a79063adf2f6adfe148babac2c1f3045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7787524500ff12e248cbd48cb727da3098c39461ca18f4c841923ea5dfc528bb",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2021-12-01T20:27:16Z",
    "title_canon_sha256": "16a2a596ef9aec75bade758a41066d04d9fdbced3cee391716b18c9e0e0a8e6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.00816",
    "kind": "arxiv",
    "version": 2
  }
}