Pith Number

pith:BTCHOLYM

pith:2011:BTCHOLYMSHAROWR3BUY7NADB5Z

not attested not anchored not stored refs pending

A versatile integral in physics and astronomy

A.M. Mathai, H.J. Haubold

arxiv:1109.5173 v1 · 2011-09-23 · astro-ph.IM · astro-ph.SR · 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{BTCHOLYMSHAROWR3BUY7NADB5Z}

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	2026-05-18T04:12:20.446310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc4772f0c91c1175a3b0d31f68061ee5e1dd0de093e51ae692d49f1412b42c8

Aliases

arxiv: 1109.5173 · arxiv_version: 1109.5173v1 · doi: 10.48550/arxiv.1109.5173 · pith_short_12: BTCHOLYMSHAR · pith_short_16: BTCHOLYMSHAROWR3 · pith_short_8: BTCHOLYM

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/BTCHOLYMSHAROWR3BUY7NADB5Z \
  | 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: 0cc4772f0c91c1175a3b0d31f68061ee5e1dd0de093e51ae692d49f1412b42c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba6201980a3f963fb5d6f2a4b3d24ff993b26cf36ec41e60316dc2b25ab995b3",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2011-09-23T05:56:12Z",
    "title_canon_sha256": "6a90fddee2a561f583bc1032e4e4fa053f7b499656b393d80536f07a4ca94f39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5173",
    "kind": "arxiv",
    "version": 1
  }
}