Pith Number

pith:4SFSITF3

pith:2012:4SFSITF3IID4C5HFBN7KASKD7X

not attested not anchored not stored refs pending

Discrete Painleve II equation over finite fields

Jun Mada, K. M. Tamizhmani, Masataka Kanki, Tetsuji Tokihiro

arxiv:1206.4456 v1 · 2012-06-20 · math-ph · math.DS · 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{4SFSITF3IID4C5HFBN7KASKD7X}

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	2026-05-18T03:48:58.613735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e48b244cbb4207c174e50b7ea04943fdf079b04e430ec3f486b56b7cf58e9deb

Aliases

arxiv: 1206.4456 · arxiv_version: 1206.4456v1 · doi: 10.48550/arxiv.1206.4456 · pith_short_12: 4SFSITF3IID4 · pith_short_16: 4SFSITF3IID4C5HF · pith_short_8: 4SFSITF3

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/4SFSITF3IID4C5HFBN7KASKD7X \
  | 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: e48b244cbb4207c174e50b7ea04943fdf079b04e430ec3f486b56b7cf58e9deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "814b1eb7d7a1271dc5771314e56767ce580a9eba66564064264052b1253ab300",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-20T11:01:37Z",
    "title_canon_sha256": "4faae171751b40aee0b9c972a8fa6da0ce9c9cf85b673c77c13c54c48ab49b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4456",
    "kind": "arxiv",
    "version": 1
  }
}