Pith Number

pith:GGMV62B4

pith:2016:GGMV62B42G5FVRCXXHUGAQK4QK

not attested not anchored not stored refs pending

A system of hypergeometric differential equations in two variables of rank 9

Jyoichi Kaneko, Katsuyoshi Ohara, Keiji Matsumoto

arxiv:1608.02667 v2 · 2016-08-09 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGMV62B42G5FVRCXXHUGAQK4QK}

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	2026-05-18T01:08:15.825006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31995f683cd1ba5ac457b9e860415c82ae48b22f613a4804bbbe60f1e11207f0

Aliases

arxiv: 1608.02667 · arxiv_version: 1608.02667v2 · doi: 10.48550/arxiv.1608.02667 · pith_short_12: GGMV62B42G5F · pith_short_16: GGMV62B42G5FVRCX · pith_short_8: GGMV62B4

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/GGMV62B42G5FVRCXXHUGAQK4QK \
  | 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: 31995f683cd1ba5ac457b9e860415c82ae48b22f613a4804bbbe60f1e11207f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40d55f644ff3b9c3e14a077e9493c907857d1d6887ba03715868120e1c88eda8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-09T00:41:37Z",
    "title_canon_sha256": "8ade03db813544f558156039650ff8a3cefb65a015a30dd7428ecceed95be8c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02667",
    "kind": "arxiv",
    "version": 2
  }
}