Pith Number

pith:4E2MK6GD

pith:2010:4E2MK6GD7CBMB32NGZZKAXF633

not attested not anchored not stored refs pending

Okamoto's space for the first Painlev\'e equation in Boutroux coordinates

J.J. Duistermaat, N. Joshi

arxiv:1010.5563 v2 · 2010-10-27 · math.CA · 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{4E2MK6GD7CBMB32NGZZKAXF633}

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	2026-05-18T02:04:56.059397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e134c578c3f882c0ef4d3672a05cbedef39e331c549b23027da40f867aeb99e9

Aliases

arxiv: 1010.5563 · arxiv_version: 1010.5563v2 · doi: 10.48550/arxiv.1010.5563 · pith_short_12: 4E2MK6GD7CBM · pith_short_16: 4E2MK6GD7CBMB32N · pith_short_8: 4E2MK6GD

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/4E2MK6GD7CBMB32NGZZKAXF633 \
  | 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: e134c578c3f882c0ef4d3672a05cbedef39e331c549b23027da40f867aeb99e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "573e2af75824d7d3b6b8ce37d7ca950e0adf46c7e3065ea6e007f31b82db33d5",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-27T04:22:29Z",
    "title_canon_sha256": "0358a0e10ef56357c6c4e3ce133d7a2f778551fc2ea863cc78f8f5875bd0d2dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5563",
    "kind": "arxiv",
    "version": 2
  }
}