Pith Number

pith:Q6KK4YGT

pith:2007:Q6KK4YGTI3SLSIQQW36GYKG2BA

not attested not anchored not stored refs pending

The fundamental solution of the space-time fractional diffusion equation

Francesco Mainardi, Gianni Pagnini, Yuri Luchko

arxiv:cond-mat/0702419 v1 · 2007-02-18 · cond-mat.stat-mech · cond-mat.dis-nn · 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{Q6KK4YGTI3SLSIQQW36GYKG2BA}

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.

Cited by

1 paper in Pith

Quantum Theory of Third-harmonic Generation in Epsilon-Near-Zero Materials

Receipt and verification

First computed	2026-07-04T15:11:45.009667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8794ae60d346e4b92210b6fc6c28da080cd9cb3996ee162b19396d23b408bdb3

Aliases

arxiv: cond-mat/0702419 · arxiv_version: cond-mat/0702419v1 · doi: 10.48550/arxiv.cond-mat/0702419 · pith_short_12: Q6KK4YGTI3SL · pith_short_16: Q6KK4YGTI3SLSIQQ · pith_short_8: Q6KK4YGT

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/Q6KK4YGTI3SLSIQQW36GYKG2BA \
  | 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: 8794ae60d346e4b92210b6fc6c28da080cd9cb3996ee162b19396d23b408bdb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ed8f37189367ab272299a0af5f4f17a1a6b6dd1101f08e13f943c746782784e",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2007-02-18T11:23:31Z",
    "title_canon_sha256": "89510edb60d7facd5d9b6094b810a99fcba48e3dd8f4d30f083644faa0776dfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0702419",
    "kind": "arxiv",
    "version": 1
  }
}