Pith Number

pith:2TYUAV3Y

pith:2012:2TYUAV3YVUPZT4RAQ4YC4G57YC

not attested not anchored not stored refs pending

Sharp upper bounds for the deviations from the mean of the sum of independent Rademacher random variables

Harrie Hendriks, Martien C. A. van Zuijlen

arxiv:1210.1059 v1 · 2012-10-03 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TYUAV3YVUPZT4RAQ4YC4G57YC}

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	2026-05-18T03:44:05.631817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f1405778ad1f99f22087302e1bbfc0be131b1fb1df4f5a67652588baba95dd

Aliases

arxiv: 1210.1059 · arxiv_version: 1210.1059v1 · doi: 10.48550/arxiv.1210.1059 · pith_short_12: 2TYUAV3YVUPZ · pith_short_16: 2TYUAV3YVUPZT4RA · pith_short_8: 2TYUAV3Y

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/2TYUAV3YVUPZT4RAQ4YC4G57YC \
  | 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: d4f1405778ad1f99f22087302e1bbfc0be131b1fb1df4f5a67652588baba95dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efb9a057b683ad501cb885d59600469356509d898557a3a9971de1029e43ec9a",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-03T11:04:27Z",
    "title_canon_sha256": "229039589223d6d4d0947c7ebb795221c32f74539bf2ad91c4ac13860c7688ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1059",
    "kind": "arxiv",
    "version": 1
  }
}