Pith Number

pith:OZ2EAYWB

pith:1998:OZ2EAYWBPHUDMDX4ZNK3VMHRIB

not attested not anchored not stored refs pending

Toda chains with type A_m Lie algebra for multidimensional m-component perfect fluid cosmology

M. Rainer, U. Kasper, V.N. Melnikov, V.R. Gavrilov

arxiv:gr-qc/9804080 v1 · 1998-04-29 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZ2EAYWBPHUDMDX4ZNK3VMHRIB}

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	2026-05-18T01:39:18.606309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76744062c179e8360efccb55bab0f140778055467218394c2b3d764f389c0ef8

Aliases

arxiv: gr-qc/9804080 · arxiv_version: gr-qc/9804080v1 · doi: 10.48550/arxiv.gr-qc/9804080 · pith_short_12: OZ2EAYWBPHUD · pith_short_16: OZ2EAYWBPHUDMDX4 · pith_short_8: OZ2EAYWB

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/OZ2EAYWBPHUDMDX4ZNK3VMHRIB \
  | 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: 76744062c179e8360efccb55bab0f140778055467218394c2b3d764f389c0ef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec31075948f322560a176bd3a19a1bee95acbe126bd6a51487897601b463dac9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-04-29T11:25:50Z",
    "title_canon_sha256": "5aa6997c75d879697eafa25b1851aec06feb37a6d739fb6dc988cdb2d22dfdf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9804080",
    "kind": "arxiv",
    "version": 1
  }
}