Pith Number

pith:FDVG2COU

pith:2021:FDVG2COUF4FFUIMNCIX7ZU7BBQ

not attested not anchored not stored refs pending

Fourier inversion theorems for integral transforms involving Bessel functions

Alexey Gorshkov

arxiv:2111.12674 v2 · 2021-11-24 · math.CA · math.AP · 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{FDVG2COUF4FFUIMNCIX7ZU7BBQ}

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	2026-05-18T02:44:39.937481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28ea6d09d42f0a5a218d122ffcd3e10c36499544f8575d2af6c373055470f13e

Aliases

arxiv: 2111.12674 · arxiv_version: 2111.12674v2 · doi: 10.48550/arxiv.2111.12674 · pith_short_12: FDVG2COUF4FF · pith_short_16: FDVG2COUF4FFUIMN · pith_short_8: FDVG2COU

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/FDVG2COUF4FFUIMNCIX7ZU7BBQ \
  | 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: 28ea6d09d42f0a5a218d122ffcd3e10c36499544f8575d2af6c373055470f13e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22d7d5c6e03366f1aed548aec7c788a4809449c2498f8a18028f1c1f41cc6073",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-11-24T18:08:51Z",
    "title_canon_sha256": "8f9e335d52d163002a3e0863fb3b3ede4a812ece3a7032438b30a5d8ea394429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.12674",
    "kind": "arxiv",
    "version": 2
  }
}