Pith Number

pith:4CGGP7FA

pith:2012:4CGGP7FAPM6PJQUU5FOZ5BIOEA

not attested not anchored not stored refs pending

The space of initial conditions and the property of an almost good reduction in discrete Painleve II equations over finite fields

Jun Mada, Masataka Kanki, Tetsuji Tokihiro

arxiv:1209.0223 v4 · 2012-09-03 · nlin.SI · math-ph · 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{4CGGP7FAPM6PJQUU5FOZ5BIOEA}

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	2026-05-18T03:02:35.835407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e08c67fca07b3cf4c294e95d9e850e2002ce189a5f385d4027a62f7cd431e077

Aliases

arxiv: 1209.0223 · arxiv_version: 1209.0223v4 · doi: 10.48550/arxiv.1209.0223 · pith_short_12: 4CGGP7FAPM6P · pith_short_16: 4CGGP7FAPM6PJQUU · pith_short_8: 4CGGP7FA

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/4CGGP7FAPM6PJQUU5FOZ5BIOEA \
  | 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: e08c67fca07b3cf4c294e95d9e850e2002ce189a5f385d4027a62f7cd431e077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c38141b8cc5528bb40d79857bda6c528e1f6fd79bd2d8d9f1344480b91bf57f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2012-09-03T00:11:03Z",
    "title_canon_sha256": "af344901ced46c73ddea9a7a8e750414e1bae5a2c4ae93d09f3860fa81037351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0223",
    "kind": "arxiv",
    "version": 4
  }
}