Pith Number

pith:AUT66JNA

pith:2012:AUT66JNAAUAZQDGZ5Z7HDZM5HP

not attested not anchored not stored refs pending

Fractional calculus, completely monotonic functions, a generalized Mittag-Leffler function and phase-space consistency of separable augmented densities

J. An

arxiv:1201.6113 v1 · 2012-01-30 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUT66JNAAUAZQDGZ5Z7HDZM5HP}

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	2026-05-18T04:03:33.663403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0527ef25a00501980cd9ee7e71e59d3bff2cc3f8798ff77e16c317ae02f3664a

Aliases

arxiv: 1201.6113 · arxiv_version: 1201.6113v1 · doi: 10.48550/arxiv.1201.6113 · pith_short_12: AUT66JNAAUAZ · pith_short_16: AUT66JNAAUAZQDGZ · pith_short_8: AUT66JNA

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/AUT66JNAAUAZQDGZ5Z7HDZM5HP \
  | 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: 0527ef25a00501980cd9ee7e71e59d3bff2cc3f8798ff77e16c317ae02f3664a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a94cfba4ad44ed95ac67f4cc9e278db537ee1476ee7a77d73cf01d601e39e579",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-30T06:43:01Z",
    "title_canon_sha256": "fea77569c6629805b461f164c21c2fc601ff45d59cac037efd5b57e9526f1b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6113",
    "kind": "arxiv",
    "version": 1
  }
}