Pith Number

pith:U4QXB7U7

pith:2014:U4QXB7U76UCYMJA4Z4DI5U3P5G

not attested not anchored not stored refs pending

A series solution of the general Heun equation in terms of incomplete Beta functions

A.M. Ishkhanyan, A.M. Manukyan, M.V. Hakobyan, T.A. Ishkhanyan

arxiv:1405.5959 v5 · 2014-05-23 · 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{U4QXB7U76UCYMJA4Z4DI5U3P5G}

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	2026-05-18T01:29:59.508364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72170fe9ff50586241ccf068ed36fe9aceda674ad9c53e76d725d327d53d4ef

Aliases

arxiv: 1405.5959 · arxiv_version: 1405.5959v5 · doi: 10.48550/arxiv.1405.5959 · pith_short_12: U4QXB7U76UCY · pith_short_16: U4QXB7U76UCYMJA4 · pith_short_8: U4QXB7U7

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/U4QXB7U76UCYMJA4Z4DI5U3P5G \
  | 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: a72170fe9ff50586241ccf068ed36fe9aceda674ad9c53e76d725d327d53d4ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "317628dcefab031ebd19436b250bf8af9e8b2d1c36c46cac1d0be4f14cf9e8e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-05-23T04:01:35Z",
    "title_canon_sha256": "6d23d3e8bffed8b0d146d2dc4e2fba52d85e627a3a1966006e215366bc9de288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5959",
    "kind": "arxiv",
    "version": 5
  }
}