Pith Number

pith:WWWLDZYV

pith:2012:WWWLDZYVQOCBHEP7A5ZM6N3RLD

not attested not anchored not stored refs pending

Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications

A. Pasquale, E. K. Narayanan, S. Pusti

arxiv:1201.3891 v2 · 2012-01-18 · math.RT · 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{WWWLDZYVQOCBHEP7A5ZM6N3RLD}

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	2026-05-18T01:27:05.914355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5acb1e71583841391ff0772cf377158f45cad59d5428d4c61e5ea05b8ce1f55

Aliases

arxiv: 1201.3891 · arxiv_version: 1201.3891v2 · doi: 10.48550/arxiv.1201.3891 · pith_short_12: WWWLDZYVQOCB · pith_short_16: WWWLDZYVQOCBHEP7 · pith_short_8: WWWLDZYV

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/WWWLDZYVQOCBHEP7A5ZM6N3RLD \
  | 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: b5acb1e71583841391ff0772cf377158f45cad59d5428d4c61e5ea05b8ce1f55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a1b229d53ccfd9f0ec903d260edfcad468b32939b23af179b1276edc71babc9",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-01-18T19:39:28Z",
    "title_canon_sha256": "e2fb5a87ce5c2f66e8e92d786ab2d598ea54e27d0f6336f9f262f6bed2e7e57b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3891",
    "kind": "arxiv",
    "version": 2
  }
}