Pith Number

pith:6Y3B5VER

pith:2018:6Y3B5VER7JRMZP62BQFCRCMM6U

not attested not anchored not stored refs pending

A pair of commuting hypergeometric operators on the complex plane and bispectrality

Vladimir F. Molchanov, Yury A. Neretin

arxiv:1812.06766 v2 · 2018-12-17 · math.FA · math.CA · math.RT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6Y3B5VER7JRMZP62BQFCRCMM6U}

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.

Cited by

1 paper in Pith

From hyperbolic to complex Euler integrals

Receipt and verification

First computed	2026-07-05T02:42:23.820682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6361ed491fa62ccbfda0c0a28898cf519c44c098f6e9bb403eee612412b83c4

Aliases

arxiv: 1812.06766 · arxiv_version: 1812.06766v2 · doi: 10.48550/arxiv.1812.06766 · pith_short_12: 6Y3B5VER7JRM · pith_short_16: 6Y3B5VER7JRMZP62 · pith_short_8: 6Y3B5VER

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/6Y3B5VER7JRMZP62BQFCRCMM6U \
  | 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: f6361ed491fa62ccbfda0c0a28898cf519c44c098f6e9bb403eee612412b83c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d09af1df5ad47a83daadae0addf3c8500205f1cb9fd44b215ab960e2c7626ef",
    "cross_cats_sorted": [
      "math.CA",
      "math.RT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-17T13:52:35Z",
    "title_canon_sha256": "037fc73fc1af9fae5218f01928eb2f6233a0b0a9eec145b52a81fcc3cc5d9d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06766",
    "kind": "arxiv",
    "version": 2
  }
}