Pith Number

pith:DO67RKCV

pith:2016:DO67RKCVLABRKYGMEFE7BV7YS4

not attested not anchored not stored refs pending

Pfaffian equations and contiguity relations of the hypergeometric function of type $(k+1, k+n+2)$ and their applications

Keiji Matsumoto, Yoshiaki Goto

arxiv:1602.01637 v1 · 2016-02-04 · math.AG · 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{DO67RKCVLABRKYGMEFE7BV7YS4}

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	2026-05-18T01:21:18.494898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bbdf8a85558031560cc2149f0d7f8972a237db245ba5a7d90a1d261eb8b5794

Aliases

arxiv: 1602.01637 · arxiv_version: 1602.01637v1 · doi: 10.48550/arxiv.1602.01637 · pith_short_12: DO67RKCVLABR · pith_short_16: DO67RKCVLABRKYGM · pith_short_8: DO67RKCV

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/DO67RKCVLABRKYGMEFE7BV7YS4 \
  | 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: 1bbdf8a85558031560cc2149f0d7f8972a237db245ba5a7d90a1d261eb8b5794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713a2fa4faef38cd59c0b63b34035b2504ecbf82f8f6fe7ec2d5353ad5c8c300",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-04T11:17:53Z",
    "title_canon_sha256": "6fc97aaa6011e16ee657a7d5db526f2288e57220fe2fc0e683cbf76adc6aeddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01637",
    "kind": "arxiv",
    "version": 1
  }
}