Pith Number

pith:IL5QTDTW

pith:1999:IL5QTDTWXEM6XJMV6JLJAEUIHU

not attested not anchored not stored refs pending

Discrete analogues of the Liouville equation

S.Ya. Startsev, V.E. Adler

arxiv:solv-int/9902016 v1 · 1999-02-23 · solv-int · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IL5QTDTWXEM6XJMV6JLJAEUIHU}

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	2026-05-18T02:44:09.038702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42fb098e76b919eba595f2569012883d35a8593a115496bab8bd7e8d78b026a6

Aliases

arxiv: solv-int/9902016 · arxiv_version: solv-int/9902016v1 · doi: 10.48550/arxiv.solv-int/9902016 · pith_short_12: IL5QTDTWXEM6 · pith_short_16: IL5QTDTWXEM6XJMV · pith_short_8: IL5QTDTW

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/IL5QTDTWXEM6XJMV6JLJAEUIHU \
  | 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: 42fb098e76b919eba595f2569012883d35a8593a115496bab8bd7e8d78b026a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb0fc632954df68969ed025450e92a1407db1e23e6848fb82fb2cc1db3587d23",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "solv-int",
    "submitted_at": "1999-02-23T14:15:14Z",
    "title_canon_sha256": "b01f691e6c10bea708023e47998f72e0fa3cc91b5bb19baa82d87a4f2ecff608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "solv-int/9902016",
    "kind": "arxiv",
    "version": 1
  }
}