Pith Number

pith:TBRJHZOI

pith:2007:TBRJHZOIXT4WX3EVHVJRUK36LE

not attested not anchored not stored refs pending

On the optimality of Stein factors

Adrian R\"ollin

arxiv:0706.0879 v3 · 2007-06-06 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBRJHZOIXT4WX3EVHVJRUK36LE}

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	2026-05-18T03:21:10.985491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

986293e5c8bcf96bec953d531a2b7e5935d4cab77515072d04154feadfb7e8e1

Aliases

arxiv: 0706.0879 · arxiv_version: 0706.0879v3 · doi: 10.48550/arxiv.0706.0879 · pith_short_12: TBRJHZOIXT4W · pith_short_16: TBRJHZOIXT4WX3EV · pith_short_8: TBRJHZOI

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/TBRJHZOIXT4WX3EVHVJRUK36LE \
  | 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: 986293e5c8bcf96bec953d531a2b7e5935d4cab77515072d04154feadfb7e8e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "165888c7d5d9fc4e6a43765d213d289b37134deca7a19c5e066c55ce17e2d753",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-06-06T18:02:06Z",
    "title_canon_sha256": "34b09f97ed03e566a16ed2b432e7c664db053827753bc6097149852afd46aa04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0879",
    "kind": "arxiv",
    "version": 3
  }
}