Pith Number

pith:4YNZ5WVQ

pith:2013:4YNZ5WVQMUDGKJRCMMHZCUSKP7

not attested not anchored not stored refs pending

Central limit theorem related to MDR-method

Alexander Bulinski

arxiv:1301.6609 v1 · 2013-01-28 · 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{4YNZ5WVQMUDGKJRCMMHZCUSKP7}

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	2026-05-18T03:35:14.868479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61b9edab06506652622630f91524a7fe6c3fbd9489f97143cfde32edba68fbe

Aliases

arxiv: 1301.6609 · arxiv_version: 1301.6609v1 · doi: 10.48550/arxiv.1301.6609 · pith_short_12: 4YNZ5WVQMUDG · pith_short_16: 4YNZ5WVQMUDGKJRC · pith_short_8: 4YNZ5WVQ

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/4YNZ5WVQMUDGKJRCMMHZCUSKP7 \
  | 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: e61b9edab06506652622630f91524a7fe6c3fbd9489f97143cfde32edba68fbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc7400fe74d9651676e4c6eb50fc252aeb1cf272478bfe2a8df5093625049683",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-28T17:05:40Z",
    "title_canon_sha256": "b146398f2e78ca98a64406b9ec23b7243f3fabdcff33c209f62b818473fc83a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6609",
    "kind": "arxiv",
    "version": 1
  }
}