Pith Number

pith:6YMBY6GO

pith:2016:6YMBY6GOHPVCIEOFTVYA6WOEQW

not attested not anchored not stored refs pending

Four-dimensional Painlev\'e-type equations associated with ramified linear equations I: Matrix Painlev\'e systems

Hiroshi Kawakami

arxiv:1608.03927 v2 · 2016-08-13 · 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{6YMBY6GOHPVCIEOFTVYA6WOEQW}

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	2026-05-18T00:47:58.823789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6181c78ce3bea2411c59d700f59c48598dc000139fb52ff91b67dd95be8b3d8

Aliases

arxiv: 1608.03927 · arxiv_version: 1608.03927v2 · doi: 10.48550/arxiv.1608.03927 · pith_short_12: 6YMBY6GOHPVC · pith_short_16: 6YMBY6GOHPVCIEOF · pith_short_8: 6YMBY6GO

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/6YMBY6GOHPVCIEOFTVYA6WOEQW \
  | 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: f6181c78ce3bea2411c59d700f59c48598dc000139fb52ff91b67dd95be8b3d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5c4289d12f673a2dd5e4e4de9941e9894b38616f1e65abae440683af1aea316",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-08-13T00:28:19Z",
    "title_canon_sha256": "3a7bdbd99512056e9ca096c43d647240d84b6d67f58f3caeb95b6f4283b3dd84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03927",
    "kind": "arxiv",
    "version": 2
  }
}