Pith Number

pith:DVVLVK5Q

pith:2019:DVVLVK5Q2P2GPVMGFNJMMZMYXQ

not attested not anchored not stored refs pending

New decomposition formulas associated with the Lauricella multivariable hypergeometric functions

Tuhtasin Ergashev

arxiv:1905.11398 v1 · 2019-05-27 · 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{DVVLVK5Q2P2GPVMGFNJMMZMYXQ}

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	2026-05-17T23:44:53.466909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d6abaabb0d3f467d5862b52c66598bc12f924b46766ee8f2ec0decd5b00acc3

Aliases

arxiv: 1905.11398 · arxiv_version: 1905.11398v1 · doi: 10.48550/arxiv.1905.11398 · pith_short_12: DVVLVK5Q2P2G · pith_short_16: DVVLVK5Q2P2GPVMG · pith_short_8: DVVLVK5Q

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/DVVLVK5Q2P2GPVMGFNJMMZMYXQ \
  | 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: 1d6abaabb0d3f467d5862b52c66598bc12f924b46766ee8f2ec0decd5b00acc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36e07403795851fdbea2db3f17766aee7c042ead6c07f813c5d892e5c7e1421f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-27T14:54:06Z",
    "title_canon_sha256": "c6f431fd60952186f7d9509318acb7d469ae51a920be59ae2584f36af09b326f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11398",
    "kind": "arxiv",
    "version": 1
  }
}