Pith Number

pith:5ZC465NH

pith:2016:5ZC465NHFWP63KCGUTFVCS4JH4

not attested not anchored not stored refs pending

Four-dimensional Painlev\'e-type equations associated with ramified linear equations II: Sasano systems

Hiroshi Kawakami

arxiv:1609.05263 v2 · 2016-09-17 · 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{5ZC465NHFWP63KCGUTFVCS4JH4}

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	2026-05-18T00:47:58.754695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee45cf75a72d9feda846a4cb514b893f36836c67a42f9f9d61586d37cc0a4f3f

Aliases

arxiv: 1609.05263 · arxiv_version: 1609.05263v2 · doi: 10.48550/arxiv.1609.05263 · pith_short_12: 5ZC465NHFWP6 · pith_short_16: 5ZC465NHFWP63KCG · pith_short_8: 5ZC465NH

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/5ZC465NHFWP63KCGUTFVCS4JH4 \
  | 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: ee45cf75a72d9feda846a4cb514b893f36836c67a42f9f9d61586d37cc0a4f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f24e7d553fd645b8b75660355461cb32e870bb15ac89f40b29f1dc2f7e130522",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-17T01:00:21Z",
    "title_canon_sha256": "53f7141d1fe590d3eea30d554c887851c9b4317289d75e6a581239205d4bf208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05263",
    "kind": "arxiv",
    "version": 2
  }
}