pith. sign in
Pith Number

pith:4ECU345M

pith:2013:4ECU345MPPRBT2JM42XCCBAGIT
not attested not anchored not stored refs pending

The Higher-Order Heat-Type Equations via signed L\'{e}vy stable and generalized Airy functions

A. Horzela, G. Dattoli, K. A. Penson, K. Gorska

arxiv:1305.3935 v2 · 2013-05-16 · cond-mat.stat-mech · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4ECU345MPPRBT2JM42XCCBAGIT}

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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 2026-05-18T01:49:49.507939Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e1054df3ac7be219e92ce6ae21040644cb5575cc60c23c970e634ccaaf1d4925

Aliases

arxiv: 1305.3935 · arxiv_version: 1305.3935v2 · doi: 10.48550/arxiv.1305.3935 · pith_short_12: 4ECU345MPPRB · pith_short_16: 4ECU345MPPRBT2JM · pith_short_8: 4ECU345M
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4ECU345MPPRBT2JM42XCCBAGIT \
  | 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: e1054df3ac7be219e92ce6ae21040644cb5575cc60c23c970e634ccaaf1d4925
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "66d19250a4c836b2ebd5351a45b28636c01ed400aefe9465836b4cca709af760",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-05-16T21:03:07Z",
    "title_canon_sha256": "716b23c662fd8ee9743bfc761015fd6cc3e0524c72256b35bcab80e0a2045729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3935",
    "kind": "arxiv",
    "version": 2
  }
}