Pith Number

pith:4YP2NE3Q

pith:2011:4YP2NE3QPMAPGRP7MP6DNIXXVA

not attested not anchored not stored refs pending

A Class of Special Solutions for the Ultradiscrete Painlev\'e II Equation

Junkichi Satsuma, Shin Isojima

arxiv:1107.4416 v1 · 2011-07-22 · nlin.SI · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YP2NE3QPMAPGRP7MP6DNIXXVA}

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	2026-05-18T04:17:04.085230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61fa693707b00f345ff63fc36a2f7a83fc9e02299b949e5b2968b47d66e2f3b

Aliases

arxiv: 1107.4416 · arxiv_version: 1107.4416v1 · doi: 10.48550/arxiv.1107.4416 · pith_short_12: 4YP2NE3QPMAP · pith_short_16: 4YP2NE3QPMAPGRP7 · pith_short_8: 4YP2NE3Q

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/4YP2NE3QPMAPGRP7MP6DNIXXVA \
  | 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: e61fa693707b00f345ff63fc36a2f7a83fc9e02299b949e5b2968b47d66e2f3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00211e5fb1621be35f9284d7c2b0aa75c7aacf929f24b7090a1b41d3dd2f3c88",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-07-22T04:59:33Z",
    "title_canon_sha256": "f1d753f27ca8bfde82c6b793331973591a4456c03bf345ab0f9b887b9778adcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4416",
    "kind": "arxiv",
    "version": 1
  }
}