Pith Number

pith:32Y5ZVI3

pith:2000:32Y5ZVI3MRF5GJURNBCJ4GH3NE

not attested not anchored not stored refs pending

Deformation of Okamoto-Painlev\'e Pairs and Painlev\'e equations

Faculty of Science, Hitomi Terajima (Department of Mathematics, Japan), Kobe, Kobe University, Masa-Hiko Saito, Taro Takebe

arxiv:math/0006026 v2 · 2000-06-05 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32Y5ZVI3MRF5GJURNBCJ4GH3NE}

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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.

Cited by

1 paper in Pith

Structure of the Anticanonical Minimal Model Program for Potentially klt Pairs

Receipt and verification

First computed	2026-05-18T00:32:26.411115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb1dcd51b644bd3269168449e18fb6914575c5ab2a621097f54cfab60d401e9

Aliases

arxiv: math/0006026 · arxiv_version: math/0006026v2 · doi: 10.48550/arxiv.math/0006026 · pith_short_12: 32Y5ZVI3MRF5 · pith_short_16: 32Y5ZVI3MRF5GJUR · pith_short_8: 32Y5ZVI3

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/32Y5ZVI3MRF5GJURNBCJ4GH3NE \
  | 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: deb1dcd51b644bd3269168449e18fb6914575c5ab2a621097f54cfab60d401e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c351a247a6aa1dc4d6bb8d342d06cc7fd8e74e73fc2d3ccdb0713df0a4f8c7eb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-06-05T04:50:57Z",
    "title_canon_sha256": "555b5fd76f2c62199e0835b19fe4af969f298308e74e856ed52616385373adbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0006026",
    "kind": "arxiv",
    "version": 2
  }
}