Pith Number

pith:QEYZEXSR

pith:2003:QEYZEXSRNUMPPGENSU3N5XWHJJ

not attested not anchored not stored refs pending

Fractional Generalization of Liouville Equations

Vasily E. Tarasov

arxiv:nlin/0312044 v1 · 2003-12-19 · nlin.CD · cond-mat.stat-mech · hep-th · math-ph · math.MP · physics.class-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QEYZEXSRNUMPPGENSU3N5XWHJJ}

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	2026-05-18T01:05:21.907762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8131925e516d18f7988d9536dedec74a6c3006dc67a0dc4fd647d79f67432682

Aliases

arxiv: nlin/0312044 · arxiv_version: nlin/0312044v1 · doi: 10.48550/arxiv.nlin/0312044 · pith_short_12: QEYZEXSRNUMP · pith_short_16: QEYZEXSRNUMPPGEN · pith_short_8: QEYZEXSR

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/QEYZEXSRNUMPPGENSU3N5XWHJJ \
  | 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: 8131925e516d18f7988d9536dedec74a6c3006dc67a0dc4fd647d79f67432682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "178fd6595b5e46f90b15d45b13898773eeb2e20bf68d9145377f3043d0c92ed1",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math-ph",
      "math.MP",
      "physics.class-ph",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2003-12-19T12:29:21Z",
    "title_canon_sha256": "340e7a71643ce074a8d7f8c08fb1ac8f6daf01b313b00ae69afbd628fde81b72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0312044",
    "kind": "arxiv",
    "version": 1
  }
}