Pith Number

pith:VU2DJHIB

pith:2014:VU2DJHIBXLTPW4KJWN32C24IX6

not attested not anchored not stored refs pending

Theory of Bessel Functions of High Rank - II: Hankel Transforms and Fundamental Bessel Kernels

Zhi Qi

arxiv:1411.6710 v3 · 2014-11-25 · math.NT · 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{VU2DJHIBXLTPW4KJWN32C24IX6}

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	2026-05-18T00:51:58.464836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad34349d01bae6fb7149b377a16b88bfb5be628a9945bbd99a33f83519b7f8f6

Aliases

arxiv: 1411.6710 · arxiv_version: 1411.6710v3 · doi: 10.48550/arxiv.1411.6710 · pith_short_12: VU2DJHIBXLTP · pith_short_16: VU2DJHIBXLTPW4KJ · pith_short_8: VU2DJHIB

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/VU2DJHIBXLTPW4KJWN32C24IX6 \
  | 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: ad34349d01bae6fb7149b377a16b88bfb5be628a9945bbd99a33f83519b7f8f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "113af469d15f367b344a30171a6d5c053d34577d841d24836fdd7e78928d58ec",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-25T03:01:26Z",
    "title_canon_sha256": "e82fba7f1c92e66844a36cb773dafb53ae3111bc5ebbf3be5d5df51fc4b8dbf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6710",
    "kind": "arxiv",
    "version": 3
  }
}