Pith Number

pith:MKBZA32V

pith:2025:MKBZA32VAJIWMR3NKU6NWZXFFN

not attested not anchored not stored refs pending

An Improved Solution to the Two Normal Means Problem via Regularization

Jonathan P. Williams, Yang Liu

arxiv:2508.13012 v1 · 2025-08-18 · 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{MKBZA32VAJIWMR3NKU6NWZXFFN}

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	2026-07-05T11:55:30.839730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6283906f55025166476d553cdb66e52b7b2da2f0d1360c4349ce4eef1538316d

Aliases

arxiv: 2508.13012 · arxiv_version: 2508.13012v1 · doi: 10.48550/arxiv.2508.13012 · pith_short_12: MKBZA32VAJIW · pith_short_16: MKBZA32VAJIWMR3N · pith_short_8: MKBZA32V

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/MKBZA32VAJIWMR3NKU6NWZXFFN \
  | 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: 6283906f55025166476d553cdb66e52b7b2da2f0d1360c4349ce4eef1538316d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ae7e66c5ede2185e404df969557b627382747588f5a4e5f0b13e4fe7e54fbe7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-08-18T15:31:43Z",
    "title_canon_sha256": "a69c1dbecc6d97d6b8b1d5969bb4f9e905f32cdbd9d3e615fc352937388209bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.13012",
    "kind": "arxiv",
    "version": 1
  }
}