Pith Number

pith:QX4OA7WR

pith:2015:QX4OA7WRPHVGTZ3ZLNGLPEDWBA

not attested not anchored not stored refs pending

A conditional Berry-Esseen bound and a conditional large deviation result without Laplace transform. Application to hashing with linear probing

Agn\`es Lagnoux, Pierre Petit, Thierry Klein

arxiv:1503.08848 v1 · 2015-03-30 · 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{QX4OA7WRPHVGTZ3ZLNGLPEDWBA}

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	2026-05-18T02:19:52.064499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f8e07ed179ea69e7795b4cb79076081c2c6bf1de8f2f12d7ce20e9a914ba14

Aliases

arxiv: 1503.08848 · arxiv_version: 1503.08848v1 · doi: 10.48550/arxiv.1503.08848 · pith_short_12: QX4OA7WRPHVG · pith_short_16: QX4OA7WRPHVGTZ3Z · pith_short_8: QX4OA7WR

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/QX4OA7WRPHVGTZ3ZLNGLPEDWBA \
  | 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: 85f8e07ed179ea69e7795b4cb79076081c2c6bf1de8f2f12d7ce20e9a914ba14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51404d230556a60abf71f7cdba555bc4122d9b1fe80cc08a6d22adad2b92e324",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-30T20:40:09Z",
    "title_canon_sha256": "179a276e21322dce8f33ead09ee729def7b9121822e2e632f927568de7fb8909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08848",
    "kind": "arxiv",
    "version": 1
  }
}