Pith Number

pith:LNFKC6WQ

pith:2011:LNFKC6WQV6XCVVB35N6ACMNVWI

not attested not anchored not stored refs pending

The rates of convergence for generalized entropy of the normalized sums of IID random variables

Hongfei Cui, Jianqiang Sun, Yiming Ding

arxiv:1106.3381 v1 · 2011-06-17 · cs.IT · math.IT · 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{LNFKC6WQV6XCVVB35N6ACMNVWI}

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	2026-05-18T04:19:52.892660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b4aa17ad0afae2ad43beb7c0131b5b21000b6ddf44413a6e885335f812e854f

Aliases

arxiv: 1106.3381 · arxiv_version: 1106.3381v1 · doi: 10.48550/arxiv.1106.3381 · pith_short_12: LNFKC6WQV6XC · pith_short_16: LNFKC6WQV6XCVVB3 · pith_short_8: LNFKC6WQ

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/LNFKC6WQV6XCVVB35N6ACMNVWI \
  | 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: 5b4aa17ad0afae2ad43beb7c0131b5b21000b6ddf44413a6e885335f812e854f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab3b8d09a76bb36d8cbd38c1883dee8fb535ebf3e0afee1579654213307ec1d",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-06-17T04:05:08Z",
    "title_canon_sha256": "dffcde0eca08b1b1a57d59bb0763e70636fd8c2822c1581f68c12a5bbc7f042f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3381",
    "kind": "arxiv",
    "version": 1
  }
}