Pith Number

pith:66QHXKQI

pith:2000:66QHXKQIMQKYRIQDZXS3XQV5AL

not attested not anchored not stored refs pending

Belinskii-Zakharov Formulation for Bianchi models and Painleve III Equation

Aleksandar Mikovic, Nenad Manojlovic

arxiv:math-ph/0002037 v1 · 2000-02-15 · math-ph · gr-qc · 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{66QHXKQIMQKYRIQDZXS3XQV5AL}

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	2026-05-18T03:30:54.188756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7a07baa08641588a203cde5bbc2bd02c6d21c8bbeea27fdcf4e5f0f2ae4ec47

Aliases

arxiv: math-ph/0002037 · arxiv_version: math-ph/0002037v1 · doi: 10.48550/arxiv.math-ph/0002037 · pith_short_12: 66QHXKQIMQKY · pith_short_16: 66QHXKQIMQKYRIQD · pith_short_8: 66QHXKQI

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/66QHXKQIMQKYRIQDZXS3XQV5AL \
  | 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: f7a07baa08641588a203cde5bbc2bd02c6d21c8bbeea27fdcf4e5f0f2ae4ec47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e1e9b93fc73d537e12917ba47d2c8ba0008dc242c55234c150c4ada495b0e5e",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-02-15T13:42:59Z",
    "title_canon_sha256": "bf2e52b21d6778f420870c08b5c09b19cac8c0d7918e252467ef1d18916c1849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0002037",
    "kind": "arxiv",
    "version": 1
  }
}