Pith Number

pith:A57HG2NH

pith:2018:A57HG2NHLALWQ4SCPHS7DL3KPV

not attested not anchored not stored refs pending

Decomposition formulas associated with the multivariable confluent hypergeometric functions

Tuhtasin Ergashev

arxiv:1808.00891 v1 · 2018-07-31 · math.CA · 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{A57HG2NHLALWQ4SCPHS7DL3KPV}

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	2026-05-18T00:09:01.103166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

077e7369a7581768724279e5f1af6a7d62e1ec67e24402184d56a10e31cb39e1

Aliases

arxiv: 1808.00891 · arxiv_version: 1808.00891v1 · doi: 10.48550/arxiv.1808.00891 · pith_short_12: A57HG2NHLALW · pith_short_16: A57HG2NHLALWQ4SC · pith_short_8: A57HG2NH

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/A57HG2NHLALWQ4SCPHS7DL3KPV \
  | 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: 077e7369a7581768724279e5f1af6a7d62e1ec67e24402184d56a10e31cb39e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "324c59537356bfa6a9199b9d0d8e3973aa273aaba58f10ffd354e421178e6f26",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-31T15:29:22Z",
    "title_canon_sha256": "93f68978f39bad441b7c2cfca2756bd073af72eab4b689f71776e8021a9428b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00891",
    "kind": "arxiv",
    "version": 1
  }
}