Pith Number

pith:5KJ2M7QV

pith:1993:5KJ2M7QVBG7IFJBZIQK7I6BFWT

not attested not anchored not stored refs pending

Astrophysical thermonuclear functions

Arak Mathai Mathai, Hans J. Haubold, William J. Anderson

arxiv:math/9308209 v1 · 1993-08-23 · 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{5KJ2M7QVBG7IFJBZIQK7I6BFWT}

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	2026-05-18T01:05:51.992539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea93a67e1509be82a4394415f47825b4fa7878e20e67aeba508540776fd864d8

Aliases

arxiv: math/9308209 · arxiv_version: math/9308209v1 · doi: 10.48550/arxiv.math/9308209 · pith_short_12: 5KJ2M7QVBG7I · pith_short_16: 5KJ2M7QVBG7IFJBZ · pith_short_8: 5KJ2M7QV

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/5KJ2M7QVBG7IFJBZIQK7I6BFWT \
  | 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: ea93a67e1509be82a4394415f47825b4fa7878e20e67aeba508540776fd864d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c1b61f66db74d2ce0d55e4d65ec89469ed589866acbd078e193d1b1466370c8",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1993-08-23T00:00:00Z",
    "title_canon_sha256": "6982f2c70499d6162bad93aff3a30c4531a3c0e5ef6972bef3d24d625b736947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9308209",
    "kind": "arxiv",
    "version": 1
  }
}