Pith Number

pith:V5SZ3IK5

pith:2012:V5SZ3IK5NHF57XPJHH3TRFMMFV

not attested not anchored not stored refs pending

Ramanujan's Master theorem for the hypergeometric Fourier transform on root systems

Angela Pasquale, Gestur Olafsson

arxiv:1211.0024 v1 · 2012-10-31 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5SZ3IK5NHF57XPJHH3TRFMMFV}

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	2026-05-18T03:41:43.372206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af659da15d69cbdfdde939f738958c2d6dacb6b740c61a61d6f3a55abe083a80

Aliases

arxiv: 1211.0024 · arxiv_version: 1211.0024v1 · doi: 10.48550/arxiv.1211.0024 · pith_short_12: V5SZ3IK5NHF5 · pith_short_16: V5SZ3IK5NHF57XPJ · pith_short_8: V5SZ3IK5

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/V5SZ3IK5NHF57XPJHH3TRFMMFV \
  | 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: af659da15d69cbdfdde939f738958c2d6dacb6b740c61a61d6f3a55abe083a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c71926ece1339d01625fb6b45df5b0159639fe7f98456398e0204f412b26fd93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-31T20:31:07Z",
    "title_canon_sha256": "7a0b71111c8b328de6f0fc96919c9b92068e5dd81b18cd783c220fb20a244044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0024",
    "kind": "arxiv",
    "version": 1
  }
}