Pith Number

pith:6CPJP46B

pith:2014:6CPJP46BQAPBAGU6GJYUQD6K3P

not attested not anchored not stored refs pending

Koml\'os-Major-Tusn\'ady approximation under dependence

Istv\'an Berkes, Wei Biao Wu, Weidong Liu

arxiv:1402.6517 v1 · 2014-02-26 · 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{6CPJP46BQAPBAGU6GJYUQD6K3P}

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	2026-05-18T02:53:26.534294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f09e97f3c1801e101a9e3271480fcadbcd5568a3f017d2c51decaffcd303592c

Aliases

arxiv: 1402.6517 · arxiv_version: 1402.6517v1 · doi: 10.48550/arxiv.1402.6517 · pith_short_12: 6CPJP46BQAPB · pith_short_16: 6CPJP46BQAPBAGU6 · pith_short_8: 6CPJP46B

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/6CPJP46BQAPBAGU6GJYUQD6K3P \
  | 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: f09e97f3c1801e101a9e3271480fcadbcd5568a3f017d2c51decaffcd303592c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ecd1e0bf2b0739b9257b14e498334a83e443bfa733364a47728755364862ec6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-26T12:38:06Z",
    "title_canon_sha256": "89751d2c42b381fc82b306f49e7c9999d88bb029ce76b076f25ba5523a679e64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6517",
    "kind": "arxiv",
    "version": 1
  }
}