Pith Number

pith:2KJ57SD3

pith:2016:2KJ57SD3UZ2DUONPGLJI65RMHK

not attested not anchored not stored refs pending

On the Fourier Transform of Bessel Functions over Complex Numbers---II: the General Case

Zhi Qi

arxiv:1607.01098 v3 · 2016-07-05 · 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{2KJ57SD3UZ2DUONPGLJI65RMHK}

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	2026-05-18T00:07:51.110427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d293dfc87ba6743a39af32d28f762c3a8a6f2ce306d248a949fd34ed00e86a4c

Aliases

arxiv: 1607.01098 · arxiv_version: 1607.01098v3 · doi: 10.48550/arxiv.1607.01098 · pith_short_12: 2KJ57SD3UZ2D · pith_short_16: 2KJ57SD3UZ2DUONP · pith_short_8: 2KJ57SD3

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/2KJ57SD3UZ2DUONPGLJI65RMHK \
  | 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: d293dfc87ba6743a39af32d28f762c3a8a6f2ce306d248a949fd34ed00e86a4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07ee291f7039fedb959f557e38e4952daa7159e26d460eca80c2553223397503",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-05T02:51:51Z",
    "title_canon_sha256": "8f66a1b4c5bd7d73eaab36c9e6d1d9d3c4455385e9c5f0b7c40b24e1b390c46d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01098",
    "kind": "arxiv",
    "version": 3
  }
}