Pith Number

pith:ODTYSOWJ

pith:2013:ODTYSOWJVLI6FDQCQTE2JFG4XY

not attested not anchored not stored refs pending

Groebner basis and singular locus of Lauricella's hypergeometric differential equations

Hiromasa Nakayama

arxiv:1303.1674 v1 · 2013-03-07 · 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{ODTYSOWJVLI6FDQCQTE2JFG4XY}

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	2026-05-18T03:31:33.458189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70e7893ac9aad1e28e0284c9a494dcbe3071707a4f21cedf3f4a98174d3cee33

Aliases

arxiv: 1303.1674 · arxiv_version: 1303.1674v1 · doi: 10.48550/arxiv.1303.1674 · pith_short_12: ODTYSOWJVLI6 · pith_short_16: ODTYSOWJVLI6FDQC · pith_short_8: ODTYSOWJ

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/ODTYSOWJVLI6FDQCQTE2JFG4XY \
  | 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: 70e7893ac9aad1e28e0284c9a494dcbe3071707a4f21cedf3f4a98174d3cee33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "374912f44fef7dc65eff499004dac961978e40603cf4f9e9220515dc1770a8a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-07T13:12:42Z",
    "title_canon_sha256": "2ec6ce60956d40a94e777f72831ccdfd89c6ffe9957c44ff47457862e3cd6823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1674",
    "kind": "arxiv",
    "version": 1
  }
}