Pith Number

pith:MHAHUNSU

pith:2009:MHAHUNSUEZI2Y3PQMTC3NBVMLZ

not attested not anchored not stored refs pending

A new take on spherical, Whittaker and Bessel functions (Spherical and Whittaker functions via DAHA I,II)

Ivan Cherednik, Xiaoguang Ma

arxiv:0904.4324 v6 · 2009-04-28 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHAHUNSUEZI2Y3PQMTC3NBVMLZ}

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	2026-05-18T03:42:12.285551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61c07a36542651ac6df064c5b686ac5e7dd8a739a5418dac8deede628d1caabb

Aliases

arxiv: 0904.4324 · arxiv_version: 0904.4324v6 · doi: 10.48550/arxiv.0904.4324 · pith_short_12: MHAHUNSUEZI2 · pith_short_16: MHAHUNSUEZI2Y3PQ · pith_short_8: MHAHUNSU

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/MHAHUNSUEZI2Y3PQMTC3NBVMLZ \
  | 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: 61c07a36542651ac6df064c5b686ac5e7dd8a739a5418dac8deede628d1caabb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e8743c6f7188434f9c01e55d76dbd6d401a894087440e101e5cdb90f02de9ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-04-28T07:45:14Z",
    "title_canon_sha256": "5ae59687ee71af9bc6590e353ce59578746cac56914871b101fcfee1445cfb41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4324",
    "kind": "arxiv",
    "version": 6
  }
}