Pith Number

pith:BAKKMJ42

pith:2026:BAKKMJ42PG43EY6X7RQAGAY73X

not attested not anchored not stored refs pending

The normalized expectation-maximization (N-EM) algorithm

Guo-Liang Tian, Xuanyu Liu, Yuanfan Zhao

arxiv:2607.23086 v1 · 2026-07-25 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BAKKMJ42PG43EY6X7RQAGAY73X}

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	2026-07-28T01:22:05.891711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0814a6279a79b9b263d7fc6003031fddd28b94c900e615bb42c7d5c63a79948f

Aliases

arxiv: 2607.23086 · arxiv_version: 2607.23086v1 · doi: 10.48550/arxiv.2607.23086 · pith_short_12: BAKKMJ42PG43 · pith_short_16: BAKKMJ42PG43EY6X · pith_short_8: BAKKMJ42

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/BAKKMJ42PG43EY6X7RQAGAY73X \
  | 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: 0814a6279a79b9b263d7fc6003031fddd28b94c900e615bb42c7d5c63a79948f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce05dfd6c6d7306524d2560f6ebfe71b248e32480dffa4a486f101dc0e0abbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-25T07:28:35Z",
    "title_canon_sha256": "26b1b2b5a28d5799580922fd18132917f72359b06d0446a3cca65ae0621f95bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23086",
    "kind": "arxiv",
    "version": 1
  }
}