Pith Number

pith:V4CR23CJ

pith:2010:V4CR23CJOVS4X7HG5UP74AIFJV

not attested not anchored not stored refs pending

An MGF-based Unified Framework to Determine the Joint Statistics of Partial Sums of Ordered Random Variables

Hong-Chuan Yang, Mohamed-Slim Alouini, Sung Sik Nam

arxiv:1008.2297 v1 · 2010-08-13 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4CR23CJOVS4X7HG5UP74AIFJV}

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	2026-05-18T04:42:03.811622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af051d6c497565cbfce6ed1ffe01054d765ba8f9eaf5eb95df2303a100609f68

Aliases

arxiv: 1008.2297 · arxiv_version: 1008.2297v1 · doi: 10.48550/arxiv.1008.2297 · pith_short_12: V4CR23CJOVS4 · pith_short_16: V4CR23CJOVS4X7HG · pith_short_8: V4CR23CJ

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/V4CR23CJOVS4X7HG5UP74AIFJV \
  | 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: af051d6c497565cbfce6ed1ffe01054d765ba8f9eaf5eb95df2303a100609f68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7870df0cecb4d2cafe751642de6ac942110284e9b384da195a41196b30dffd7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-08-13T11:36:06Z",
    "title_canon_sha256": "1aad18c7323f56787cb26ae7b3535a15a3dc6c0b097dd5d883f6378ac98c859e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2297",
    "kind": "arxiv",
    "version": 1
  }
}