Pith Number

pith:H63ARPV4

pith:2026:H63ARPV4TLR7ZWVJJTTPFDRK2Z

not attested not anchored not stored refs pending

A Modern Functional Analytic Tour of the Fourier-Bessel Transform

Cameron L. Williams

arxiv:2605.30645 v1 · 2026-05-28 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H63ARPV4TLR7ZWVJJTTPFDRK2Z}

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	2026-06-01T01:03:05.978823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fb608bebc9ae3fcdaa94ce6f28e2ad6536ba4b77d75da7378146d3c7434e230

Aliases

arxiv: 2605.30645 · arxiv_version: 2605.30645v1 · doi: 10.48550/arxiv.2605.30645 · pith_short_12: H63ARPV4TLR7 · pith_short_16: H63ARPV4TLR7ZWVJ · pith_short_8: H63ARPV4

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/H63ARPV4TLR7ZWVJJTTPFDRK2Z \
  | 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: 3fb608bebc9ae3fcdaa94ce6f28e2ad6536ba4b77d75da7378146d3c7434e230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "651c5f9a1019ad3c44f5871a0284ff52015830d2cc4fb8d053f65327e4ff8fc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-28T22:58:48Z",
    "title_canon_sha256": "4d56825eef0feda0d05bc48710c2fef13a170841d10516370020094c21214dbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30645",
    "kind": "arxiv",
    "version": 1
  }
}