Pith Number

pith:5LRGMHXT

pith:2014:5LRGMHXTGMQZ7C7QYFJGC6ZHEJ

not attested not anchored not stored refs pending

Space-fractional versions of the negative binomial and Polya-type processes

L. Beghin, P. Vellaisamy

arxiv:1412.3281 v2 · 2014-12-10 · 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{5LRGMHXTGMQZ7C7QYFJGC6ZHEJ}

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	2026-05-18T01:17:53.181911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eae2661ef333219f8bf0c152617b272269b2434d61988ba5a353485ed281617b

Aliases

arxiv: 1412.3281 · arxiv_version: 1412.3281v2 · doi: 10.48550/arxiv.1412.3281 · pith_short_12: 5LRGMHXTGMQZ · pith_short_16: 5LRGMHXTGMQZ7C7Q · pith_short_8: 5LRGMHXT

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/5LRGMHXTGMQZ7C7QYFJGC6ZHEJ \
  | 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: eae2661ef333219f8bf0c152617b272269b2434d61988ba5a353485ed281617b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beec3e3409d02cfb90c838d644c723d9c6684dd0a3d00da384b6e5f7231b7bd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-10T12:44:20Z",
    "title_canon_sha256": "713348cd263d8fe7d5353c318bb7a96ea626c92b607fe9be5cece9767d7d1088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3281",
    "kind": "arxiv",
    "version": 2
  }
}