Pith Number

pith:CBC62OBD

pith:2017:CBC62OBDB6F6HYRR5G64WKX7D6

not attested not anchored not stored refs pending

Change of measure technique in characterizations of the Gamma and Kummer distributions

Agnieszka Piliszek, Jacek Weso{\l}owski

arxiv:1702.02839 v2 · 2017-02-09 · 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{CBC62OBDB6F6HYRR5G64WKX7D6}

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	2026-05-18T00:26:46.495133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1045ed38230f8be3e231e9bdcb2aff1fa54683f27518945e1c175755ba257c3f

Aliases

arxiv: 1702.02839 · arxiv_version: 1702.02839v2 · doi: 10.48550/arxiv.1702.02839 · pith_short_12: CBC62OBDB6F6 · pith_short_16: CBC62OBDB6F6HYRR · pith_short_8: CBC62OBD

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/CBC62OBDB6F6HYRR5G64WKX7D6 \
  | 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: 1045ed38230f8be3e231e9bdcb2aff1fa54683f27518945e1c175755ba257c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c324127488a702f5139dfb22d9687e8fd5cb4408f02bdd1bc2e6c723fc1567",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-09T14:13:32Z",
    "title_canon_sha256": "774431a995d7c861aab556b17640e7c1d1b22c2ef3d4c5391cb0928bf77e9250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02839",
    "kind": "arxiv",
    "version": 2
  }
}