Pith Number

pith:VD7VOS22

pith:1993:VD7VOS224DA5DCCYQIJQT4LQKR

not attested not anchored not stored refs pending

Applications of generalized special functions in stellar astrophysics

Arak Mathai Mathai, Hans J. Haubold

arxiv:math/9307222 v1 · 1993-07-14 · math.CA · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VD7VOS224DA5DCCYQIJQT4LQKR}

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	2026-05-18T01:05:52.046468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ff574b5ae0c1d18858821309f170547b74540884a11ae1c99e00f91ce0503e

Aliases

arxiv: math/9307222 · arxiv_version: math/9307222v1 · doi: 10.48550/arxiv.math/9307222 · pith_short_12: VD7VOS224DA5 · pith_short_16: VD7VOS224DA5DCCY · pith_short_8: VD7VOS22

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/VD7VOS224DA5DCCYQIJQT4LQKR \
  | 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: a8ff574b5ae0c1d18858821309f170547b74540884a11ae1c99e00f91ce0503e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f0b2c6992c88a985708de3d204c5d6cf40ac293e672092392dbb1f351a9302",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1993-07-14T00:00:00Z",
    "title_canon_sha256": "fd9cdadd7875dcd2149d180694fb956b6f9a6303187b7335c74aee5d7bc6f1c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9307222",
    "kind": "arxiv",
    "version": 1
  }
}