Pith Number

pith:OI66644A

pith:2013:OI66644ASOBXBUCIUDJC36TSQL

not attested not anchored not stored refs pending

Concentration inequalities via zero bias couplings

Larry Goldstein, Umit Islak

arxiv:1304.5001 v3 · 2013-04-18 · 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{OI66644ASOBXBUCIUDJC36TSQL}

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	2026-05-18T02:32:54.514080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

723def7380938370d048a0d22dfa7282cbe120bfc6926416c0354970e8dd38d5

Aliases

arxiv: 1304.5001 · arxiv_version: 1304.5001v3 · doi: 10.48550/arxiv.1304.5001 · pith_short_12: OI66644ASOBX · pith_short_16: OI66644ASOBXBUCI · pith_short_8: OI66644A

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/OI66644ASOBXBUCIUDJC36TSQL \
  | 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: 723def7380938370d048a0d22dfa7282cbe120bfc6926416c0354970e8dd38d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "049b1c805667f36a29065c7025ea40bbe017fb8e8b71255d0e781998c34e1af8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-18T01:25:43Z",
    "title_canon_sha256": "99690d49006eff46b3647670cc20298bb1c1211f539964ef14999ef4c291eb6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5001",
    "kind": "arxiv",
    "version": 3
  }
}