Pith Number

pith:JU7IY3JQ

pith:2015:JU7IY3JQTM4ENMPXTQRXRTV5BP

not attested not anchored not stored refs pending

The Odd Generalized Exponential Gompertz

Abdelfattah Mustafa, B.S. El-Desouky, M.A. EL-Damcese, M. E. Mustafa

arxiv:1507.06400 v3 · 2015-07-23 · 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{JU7IY3JQTM4ENMPXTQRXRTV5BP}

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	2026-05-18T01:28:53.314873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d3e8c6d309b3846b1f79c2378cebd0bfc8cc896736d44aaa45b0382e1aa7b8a

Aliases

arxiv: 1507.06400 · arxiv_version: 1507.06400v3 · doi: 10.48550/arxiv.1507.06400 · pith_short_12: JU7IY3JQTM4E · pith_short_16: JU7IY3JQTM4ENMPX · pith_short_8: JU7IY3JQ

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/JU7IY3JQTM4ENMPXTQRXRTV5BP \
  | 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: 4d3e8c6d309b3846b1f79c2378cebd0bfc8cc896736d44aaa45b0382e1aa7b8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66e4f84d28b0bbee6448625a991de3f4dd9cbc3bb474acdfcfc168b6f40f6421",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-07-23T07:43:24Z",
    "title_canon_sha256": "50507f8385809db27c2b1c0f46f6c847764bde2949545002ccafb8618adac562"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06400",
    "kind": "arxiv",
    "version": 3
  }
}