Pith Number

pith:KZX5LGSR

pith:2014:KZX5LGSRL7O74SZ75GVMOGSVMQ

not attested not anchored not stored refs pending

Lie symmetries of fundamental solutions of one (2+1)-dimensional ultra-parabolic Fokker--Planck--Kolmogorov equation

Maksym Tertychnyi, Sergii Kovalenko, Valeriy Stogniy

arxiv:1408.0166 v1 · 2014-08-01 · 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{KZX5LGSRL7O74SZ75GVMOGSVMQ}

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	2026-05-18T02:46:03.706218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

566fd59a515fddfe4b3fe9aac71a55642b24e3b21c7a011ea549e3c337df0b45

Aliases

arxiv: 1408.0166 · arxiv_version: 1408.0166v1 · doi: 10.48550/arxiv.1408.0166 · pith_short_12: KZX5LGSRL7O7 · pith_short_16: KZX5LGSRL7O74SZ7 · pith_short_8: KZX5LGSR

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/KZX5LGSRL7O74SZ75GVMOGSVMQ \
  | 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: 566fd59a515fddfe4b3fe9aac71a55642b24e3b21c7a011ea549e3c337df0b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a50b908dabecd75b2eead7b8c0700b0c917b9518455e125a82e81a0f3f9d944",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-08-01T13:11:54Z",
    "title_canon_sha256": "cf3f4f23afb94a6cb37bee8ec27487e6a40da8f5336c0b4cef5eea93a4c96616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0166",
    "kind": "arxiv",
    "version": 1
  }
}