Pith Number

pith:VMWD4FLM

pith:2013:VMWD4FLMCSGZ7HPVDFY46NLDOQ

not attested not anchored not stored refs pending

Technical Report: An MGF-based Unified Framework to Determine the Joint Statistics of Partial Sums of Ordered i.n.d. Random Variables

Dong In Kim, Hong-Chuan Yang, Mohamed-Slim Alouini, Sung Sik Nam

arxiv:1307.8199 v2 · 2013-07-31 · cs.IT · cs.PF · 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{VMWD4FLMCSGZ7HPVDFY46NLDOQ}

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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	2026-05-18T01:48:32.438524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab2c3e156c148d9f9df51971cf356374060aae973666e90c92e29c5c86983eb9

Aliases

arxiv: 1307.8199 · arxiv_version: 1307.8199v2 · doi: 10.48550/arxiv.1307.8199 · pith_short_12: VMWD4FLMCSGZ · pith_short_16: VMWD4FLMCSGZ7HPV · pith_short_8: VMWD4FLM

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/VMWD4FLMCSGZ7HPVDFY46NLDOQ \
  | 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: ab2c3e156c148d9f9df51971cf356374060aae973666e90c92e29c5c86983eb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd5637d1e6244d29e706401eb129042e6d587a78929f87604cb483ec27c21cdd",
    "cross_cats_sorted": [
      "cs.PF",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-07-31T03:02:40Z",
    "title_canon_sha256": "3ee4d8362317caa24f2dc54ad0ce7e4c980e0cbe5caa82ce3384a0229033161b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8199",
    "kind": "arxiv",
    "version": 2
  }
}