Pith Number

pith:O5SP2G5E

pith:2009:O5SP2G5E7UG5FTATLJXF6XM5DE

not attested not anchored not stored refs pending

Novel relations and new properties of confluent Heun's functions and their derivatives of arbitrary order

Plamen P. Fiziev

arxiv:0904.0245 v3 · 2009-04-02 · 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{O5SP2G5E7UG5FTATLJXF6XM5DE}

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	2026-05-18T02:14:08.193412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7764fd1ba4fd0dd2cc135a6e5f5d9d1930e2c2d73961ba1513491ffa80e64bc0

Aliases

arxiv: 0904.0245 · arxiv_version: 0904.0245v3 · doi: 10.48550/arxiv.0904.0245 · pith_short_12: O5SP2G5E7UG5 · pith_short_16: O5SP2G5E7UG5FTAT · pith_short_8: O5SP2G5E

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/O5SP2G5E7UG5FTATLJXF6XM5DE \
  | 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: 7764fd1ba4fd0dd2cc135a6e5f5d9d1930e2c2d73961ba1513491ffa80e64bc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "565cd2c8f64e335e5c29d6c4e312af4257884d5ea97acb3b63c4e46cd3c8e65b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-04-02T15:20:34Z",
    "title_canon_sha256": "44e0ffcba1dac35829811ba99c6eecb51dbfae2d172b4d71801fc6787758e4fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0245",
    "kind": "arxiv",
    "version": 3
  }
}