Pith Number

pith:YWTJUUZG

pith:2013:YWTJUUZGZBRXLNVRPIJLIQ6ZD6

not attested not anchored not stored refs pending

Fractional Negative Binomial and Polya Processes

A. Maheshwari, P. Vellaisamy

arxiv:1306.2493 v5 · 2013-06-11 · 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{YWTJUUZGZBRXLNVRPIJLIQ6ZD6}

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	2026-05-18T02:41:01.256632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5a69a5326c86375b6b17a12b443d91fb0c2d2c62a2386f94da44421f3c86c8d

Aliases

arxiv: 1306.2493 · arxiv_version: 1306.2493v5 · doi: 10.48550/arxiv.1306.2493 · pith_short_12: YWTJUUZGZBRX · pith_short_16: YWTJUUZGZBRXLNVR · pith_short_8: YWTJUUZG

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/YWTJUUZGZBRXLNVRPIJLIQ6ZD6 \
  | 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: c5a69a5326c86375b6b17a12b443d91fb0c2d2c62a2386f94da44421f3c86c8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb8dee5df3453eb31fd40f8ba161e6a888532e3271737b7864eb00bef42aab63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-11T11:41:14Z",
    "title_canon_sha256": "a4114ce98aca7256247c09b9a68c8a2e6e0b6b81e8836515eb0361133114ba67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2493",
    "kind": "arxiv",
    "version": 5
  }
}