Pith Number

pith:WF24XGUD

pith:2012:WF24XGUDCHYX53AN6CZMW3AWX5

not attested not anchored not stored refs pending

A full proof of universal inequalities for the distribution function of the binomial law

Alexander A. Serov, Andrey M. Zubkov

arxiv:1207.3838 v2 · 2012-07-16 · 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{WF24XGUDCHYX53AN6CZMW3AWX5}

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.

Cited by

1 paper in Pith

Notes on constants for maxima of Rademacher averages

Receipt and verification

First computed	2026-05-18T03:46:34.076141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b175cb9a8311f17eec0df0b2cb6c16bf62acb35eece1e36c50bbb969654aa9af

Aliases

arxiv: 1207.3838 · arxiv_version: 1207.3838v2 · doi: 10.48550/arxiv.1207.3838 · pith_short_12: WF24XGUDCHYX · pith_short_16: WF24XGUDCHYX53AN · pith_short_8: WF24XGUD

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/WF24XGUDCHYX53AN6CZMW3AWX5 \
  | 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: b175cb9a8311f17eec0df0b2cb6c16bf62acb35eece1e36c50bbb969654aa9af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "047bc0bc11052c9c9cb72f6aa157fcaad24f6c6981c8da15f539ad58a8c65d47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-16T22:36:42Z",
    "title_canon_sha256": "5619f19808a3678bb0019dbf1d04f33faf80d240951ca5c20b14f6e75f7b215c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3838",
    "kind": "arxiv",
    "version": 2
  }
}