Pith Number

pith:PFWQMPWV

pith:2026:PFWQMPWVQYPWDW5DO6FMR6Y6BJ

not attested not anchored not stored refs pending

Optimal Estimation of Discrete Multiview Distributions under Heteroskedastic Multinomial Sampling

Alexandre B. Tsybakov, Anru R. Zhang, Julien Chhor, Olga Klopp, Runshi Tang

arxiv:2605.24858 v1 · 2026-05-24 · 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{PFWQMPWVQYPWDW5DO6FMR6Y6BJ}

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	2026-05-26T01:04:02.002651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

796d063ed5861f61dba3778ac8fb1e0a643877758a3561808d31a218014dfa8f

Aliases

arxiv: 2605.24858 · arxiv_version: 2605.24858v1 · doi: 10.48550/arxiv.2605.24858 · pith_short_12: PFWQMPWVQYPW · pith_short_16: PFWQMPWVQYPWDW5D · pith_short_8: PFWQMPWV

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/PFWQMPWVQYPWDW5DO6FMR6Y6BJ \
  | 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: 796d063ed5861f61dba3778ac8fb1e0a643877758a3561808d31a218014dfa8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e636af59687776b278a2ec4e161132cc8d147c142f19421f8011abac1a609cc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-05-24T04:28:38Z",
    "title_canon_sha256": "2dc975a0b3e831595c723fe0cc64ab40f7fda4e8c29b5f42e06de5f93ede73f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24858",
    "kind": "arxiv",
    "version": 1
  }
}