Pith Number

pith:UWMJYBCG

pith:2011:UWMJYBCGWJZRHONB5BG2KRT6PG

not attested not anchored not stored refs pending

Heun's equation, generalized hypergeometric function and exceptional Jacobi polynomial

Kouichi Takemura

arxiv:1106.1543 v3 · 2011-06-08 · math.CA · 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{UWMJYBCGWJZRHONB5BG2KRT6PG}

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	2026-05-18T02:01:40.863233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5989c0446b27313b9a1e84da5467e798ec9cc74fa64fc6168fc3ad83ff46c73

Aliases

arxiv: 1106.1543 · arxiv_version: 1106.1543v3 · doi: 10.48550/arxiv.1106.1543 · pith_short_12: UWMJYBCGWJZR · pith_short_16: UWMJYBCGWJZRHONB · pith_short_8: UWMJYBCG

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/UWMJYBCGWJZRHONB5BG2KRT6PG \
  | 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: a5989c0446b27313b9a1e84da5467e798ec9cc74fa64fc6168fc3ad83ff46c73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74f652ed757f05e54b3211e98948898349316cbb0f2927270cc61bf5caf57274",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-06-08T12:07:45Z",
    "title_canon_sha256": "b0e4352bdd872e280619d428b620314eb4ce202b792a1ec143404f8a2063f73d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1543",
    "kind": "arxiv",
    "version": 3
  }
}