Pith Number

pith:X432LJX4

pith:2010:X432LJX4YVA7UQMXTD6MK3HHNP

not attested not anchored not stored refs pending

From KP/UC hierarchies to Painleve equations

Teruhisa Tsuda

arxiv:1004.1347 v3 · 2010-04-08 · 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{X432LJX4YVA7UQMXTD6MK3HHNP}

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	2026-05-18T04:03:32.665780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf37a5a6fcc541fa419798fcc56ce76bd8896a04bd2f59afdda52f1247e03fdb

Aliases

arxiv: 1004.1347 · arxiv_version: 1004.1347v3 · doi: 10.48550/arxiv.1004.1347 · pith_short_12: X432LJX4YVA7 · pith_short_16: X432LJX4YVA7UQMX · pith_short_8: X432LJX4

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/X432LJX4YVA7UQMXTD6MK3HHNP \
  | 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: bf37a5a6fcc541fa419798fcc56ce76bd8896a04bd2f59afdda52f1247e03fdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "062c5e02d1d62061451e9116f3cf99a6b6df3186375c0bc003fa00c4cf732253",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2010-04-08T14:17:00Z",
    "title_canon_sha256": "9a0afea7a30e3117425473b4e2b2d5ef0187eb9a166a47efeab256bdec0699e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1347",
    "kind": "arxiv",
    "version": 3
  }
}