Pith Number

pith:YVGN7O6K

pith:2008:YVGN7O6KPQB7KOLECNE3NLAXNW

not attested not anchored not stored refs pending

Algebraic A-hypergeometric Functions

Frits Beukers

arxiv:0812.1134 v1 · 2008-12-05 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVGN7O6KPQB7KOLECNE3NLAXNW}

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	2026-05-18T04:41:35.983141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c54cdfbbca7c03f539641349b6ac176db79b163a1eb8bb07111049bf41f05ca1

Aliases

arxiv: 0812.1134 · arxiv_version: 0812.1134v1 · doi: 10.48550/arxiv.0812.1134 · pith_short_12: YVGN7O6KPQB7 · pith_short_16: YVGN7O6KPQB7KOLE · pith_short_8: YVGN7O6K

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/YVGN7O6KPQB7KOLECNE3NLAXNW \
  | 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: c54cdfbbca7c03f539641349b6ac176db79b163a1eb8bb07111049bf41f05ca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3d716ce622648177e9ca7b61234d4107e212fc4c33e252e95f0e8940f6037b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-12-05T15:56:51Z",
    "title_canon_sha256": "614f8dbc2fe52258749e70211dcd472e11f51429a97909f030580b7de8eb4253"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1134",
    "kind": "arxiv",
    "version": 1
  }
}