Pith Number

pith:WPQ5UYD3

pith:2007:WPQ5UYD3PQUKAC5FCMZ7DHSWAT

not attested not anchored not stored refs pending

Distributed Order Calculus and Equations of Ultraslow Diffusion

Anatoly N. Kochubei

arxiv:math-ph/0703046 v2 · 2007-03-14 · math-ph · math.AP · 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{WPQ5UYD3PQUKAC5FCMZ7DHSWAT}

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	2026-05-18T01:38:30.861073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3e1da607b7c28a00ba51333f19e5604d069d77dc00715ccc8f0a6c5daf58d98

Aliases

arxiv: math-ph/0703046 · arxiv_version: math-ph/0703046v2 · doi: 10.48550/arxiv.math-ph/0703046 · pith_short_12: WPQ5UYD3PQUK · pith_short_16: WPQ5UYD3PQUKAC5F · pith_short_8: WPQ5UYD3

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/WPQ5UYD3PQUKAC5FCMZ7DHSWAT \
  | 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: b3e1da607b7c28a00ba51333f19e5604d069d77dc00715ccc8f0a6c5daf58d98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae8d377fe15f6140c456c3a3f41c4f7c31ba3ebc8ba558de5f5e8f7f139586b2",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-03-14T15:10:56Z",
    "title_canon_sha256": "c09e224a7b733519f5fea4eb85a78eb5223c1416f19d259f3bdc3aab2ce9e869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0703046",
    "kind": "arxiv",
    "version": 2
  }
}