Pith Number

pith:3XZBOOZL

pith:2017:3XZBOOZLTBUOZSZU7Q7KJU6TP2

not attested not anchored not stored refs pending

Expansions of the solutions of the general Heun equation in terms of the incomplete Beta functions

A.M. Ishkhanyan, T.A. Shahverdyan, V.M. Red'kov

arxiv:1703.08177 v1 · 2017-03-23 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XZBOOZLTBUOZSZU7Q7KJU6TP2}

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	2026-05-18T00:48:00.482864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddf2173b2b9868eccb34fc3ea4d3d37e8b0c2cd263992de0bf5b4ea0d298f58a

Aliases

arxiv: 1703.08177 · arxiv_version: 1703.08177v1 · doi: 10.48550/arxiv.1703.08177 · pith_short_12: 3XZBOOZLTBUO · pith_short_16: 3XZBOOZLTBUOZSZU · pith_short_8: 3XZBOOZL

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/3XZBOOZLTBUOZSZU7Q7KJU6TP2 \
  | 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: ddf2173b2b9868eccb34fc3ea4d3d37e8b0c2cd263992de0bf5b4ea0d298f58a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a537668f495cc35cf517276d41db6446329ec2e7603a7a2623ee32d614d1c925",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-03-23T11:14:30Z",
    "title_canon_sha256": "75f04d05745004f36aa759ad3b0d893f55c7146f1ac47559ee6104d72c1b92eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08177",
    "kind": "arxiv",
    "version": 1
  }
}