Pith Number

pith:7P4TO7VB

pith:2025:7P4TO7VBLHBUHJHYERQ6LR5VOI

not attested not anchored not stored refs pending

Sample Complexity of Branch-length Estimation by Maximum Likelihood

David Clancy Jr., Hanbaek Lyu, Sebastien Roch

arxiv:2507.22038 v1 · 2025-07-29 · stat.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{7P4TO7VBLHBUHJHYERQ6LR5VOI}

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	2026-07-05T11:45:12.033350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbf9377ea159c343a4f82461e5c7b572058e7fd9ee9b56d66999263f1a3f54d0

Aliases

arxiv: 2507.22038 · arxiv_version: 2507.22038v1 · doi: 10.48550/arxiv.2507.22038 · pith_short_12: 7P4TO7VBLHBU · pith_short_16: 7P4TO7VBLHBUHJHY · pith_short_8: 7P4TO7VB

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/7P4TO7VBLHBUHJHYERQ6LR5VOI \
  | 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: fbf9377ea159c343a4f82461e5c7b572058e7fd9ee9b56d66999263f1a3f54d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f393327f89cc4d828bd9c1dccdded2d63bffbf81f39da726b7ae368128b30cd7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2025-07-29T17:40:23Z",
    "title_canon_sha256": "ca67b8bc8ee63f9ac3936f115cef20368b56fb68bcc66c90984d8537644e4107"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22038",
    "kind": "arxiv",
    "version": 1
  }
}