Pith Number

pith:IZKMJ2C5

pith:2013:IZKMJ2C5CJJJIZJIS2DRCWAZ2V

not attested not anchored not stored refs pending

Some inequalities of linear combinations of independent random variables: II

Maochao Xu, Taizhong Hu, Xiaoqing Pan

arxiv:1312.2799 v1 · 2013-12-10 · 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{IZKMJ2C5CJJJIZJIS2DRCWAZ2V}

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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	2026-05-18T03:05:08.777384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4654c4e85d12529465289687115819d54634778faad143a02d246b7e801ab08e

Aliases

arxiv: 1312.2799 · arxiv_version: 1312.2799v1 · doi: 10.48550/arxiv.1312.2799 · pith_short_12: IZKMJ2C5CJJJ · pith_short_16: IZKMJ2C5CJJJIZJI · pith_short_8: IZKMJ2C5

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/IZKMJ2C5CJJJIZJIS2DRCWAZ2V \
  | 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: 4654c4e85d12529465289687115819d54634778faad143a02d246b7e801ab08e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "049b3bfbaadc13786b20281c6527f1e49dc7f73d6d94b48ab8b8a33b0996533d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-10T13:56:05Z",
    "title_canon_sha256": "140913aebe5efcd25a3fa7342eb8e609034b4e3ed29f52a5e28cccfd74331766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2799",
    "kind": "arxiv",
    "version": 1
  }
}