Pith Number

pith:X7HWAJSC

pith:2016:X7HWAJSCZYAEH4I5J2FUUGOSNV

not attested not anchored not stored refs pending

On the Fourier Transform of Bessel Functions over Complex Numbers---I: the Spherical Case

Zhi Qi

arxiv:1606.02913 v2 · 2016-06-09 · 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{X7HWAJSCZYAEH4I5J2FUUGOSNV}

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	2026-05-18T00:31:59.126805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfcf602642ce0043f11d4e8b4a19d26d4f697d9f312a04d5e9a50afe04a10675

Aliases

arxiv: 1606.02913 · arxiv_version: 1606.02913v2 · doi: 10.48550/arxiv.1606.02913 · pith_short_12: X7HWAJSCZYAE · pith_short_16: X7HWAJSCZYAEH4I5 · pith_short_8: X7HWAJSC

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/X7HWAJSCZYAEH4I5J2FUUGOSNV \
  | 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: bfcf602642ce0043f11d4e8b4a19d26d4f697d9f312a04d5e9a50afe04a10675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d59c423509afb99fe6534bffcf9c7d52cbf5e9ddd7acce1306c0522309bfd4ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-09T11:25:57Z",
    "title_canon_sha256": "0c01f2e825344803f1f04f2a2a01267bf613ea9120b1448174937e4ebd0dde27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02913",
    "kind": "arxiv",
    "version": 2
  }
}