Pith Number

pith:2QA7ZDIY

pith:2011:2QA7ZDIYUJVW4JTN3W43XFVKGK

not attested not anchored not stored refs pending

A sharpening of Tusn\'ady's inequality

G\'abor Tusn\'ady, Jen\H{o} Reiczigel, L\'idia Rejt\H{o}

arxiv:1110.3627 v3 · 2011-10-17 · math.ST · math.PR · 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{2QA7ZDIYUJVW4JTN3W43XFVKGK}

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	2026-05-18T04:07:52.311822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d401fc8d18a26b6e266dddb9bb96aa32814371febece30a29b3ed3ac22738024

Aliases

arxiv: 1110.3627 · arxiv_version: 1110.3627v3 · doi: 10.48550/arxiv.1110.3627 · pith_short_12: 2QA7ZDIYUJVW · pith_short_16: 2QA7ZDIYUJVW4JTN · pith_short_8: 2QA7ZDIY

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/2QA7ZDIYUJVW4JTN3W43XFVKGK \
  | 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: d401fc8d18a26b6e266dddb9bb96aa32814371febece30a29b3ed3ac22738024

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b920f1590fd7552207995a82ee85f7c5f93eddf13053bcf814272be64b325afa",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-10-17T10:34:50Z",
    "title_canon_sha256": "560cc2cccf807c4a5532d804365fc2542a40cb0c4dafba1d026d08b96efe6b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3627",
    "kind": "arxiv",
    "version": 3
  }
}