Pith Number

pith:E35I2BNK

pith:2013:E35I2BNKXDMSDFESYWF3IED363

not attested not anchored not stored refs pending

On the Distribution of the Product and the Sum of Generalized Shifted Gamma Random Variables

Arjun K. Rathie, Luan C. de S.M.Ozelim, Pushpa N. rathie

arxiv:1302.2954 v1 · 2013-02-12 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E35I2BNKXDMSDFESYWF3IED363}

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	2026-05-18T03:33:49.232874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26fa8d05aab8d9219492c58bb4107bf6f4be08167e5d6e15b08aa879c4472a64

Aliases

arxiv: 1302.2954 · arxiv_version: 1302.2954v1 · doi: 10.48550/arxiv.1302.2954 · pith_short_12: E35I2BNKXDMS · pith_short_16: E35I2BNKXDMSDFES · pith_short_8: E35I2BNK

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/E35I2BNKXDMSDFESYWF3IED363 \
  | 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: 26fa8d05aab8d9219492c58bb4107bf6f4be08167e5d6e15b08aa879c4472a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7925e50dcd1888a8b155534ef1202bfc7fde1678e80b8173e37d8f0f7577a770",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-02-12T23:33:52Z",
    "title_canon_sha256": "09a73a0d602a89da7cf6fb460a5406824d0a75d1c3a46d94812fa410a28e7154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2954",
    "kind": "arxiv",
    "version": 1
  }
}