Pith Number

pith:TWF4ZZ7G

pith:2018:TWF4ZZ7GYSA4E7QDBLK4K3OBC7

not attested not anchored not stored refs pending

Gibbs Partitions, Riemann-Liouville Fractional Operators, Mittag-Leffler Functions, and Fragmentations Derived From Stable Subordinators

John W. Lau, Lancelot F. James, Man-Wai Ho

arxiv:1802.05352 v3 · 2018-02-14 · 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{TWF4ZZ7GYSA4E7QDBLK4K3OBC7}

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	2026-05-18T00:09:36.002864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d8bcce7e6c481c27e030ad5c56dc117da84220921d71b8a905ecc8186988e12

Aliases

arxiv: 1802.05352 · arxiv_version: 1802.05352v3 · doi: 10.48550/arxiv.1802.05352 · pith_short_12: TWF4ZZ7GYSA4 · pith_short_16: TWF4ZZ7GYSA4E7QD · pith_short_8: TWF4ZZ7G

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/TWF4ZZ7GYSA4E7QDBLK4K3OBC7 \
  | 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: 9d8bcce7e6c481c27e030ad5c56dc117da84220921d71b8a905ecc8186988e12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11a795e48e48327e7b6a820098bea7dd574b01bf4d6f0d64b777158150671a6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-02-14T23:00:40Z",
    "title_canon_sha256": "d632533e7f90a10bd06e1b9d24729f04e20e2d82279e1ede4172b72d9ff94fa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05352",
    "kind": "arxiv",
    "version": 3
  }
}