Pith Number

pith:K65TAK6B

pith:2016:K65TAK6BPFRVBCFNHCQH7T7GIV

not attested not anchored not stored refs pending

The Fourier and Hilbert transforms under the Bargmann transform

Kehe Zhu, Xing-Tang Dong

arxiv:1605.08683 v1 · 2016-05-27 · math.CV · 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{K65TAK6BPFRVBCFNHCQH7T7GIV}

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	2026-05-18T01:13:29.318953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57bb302bc179635088ad38a07fcfe6457a22d4dc53759e0bbbad2d4fcb662a33

Aliases

arxiv: 1605.08683 · arxiv_version: 1605.08683v1 · doi: 10.48550/arxiv.1605.08683 · pith_short_12: K65TAK6BPFRV · pith_short_16: K65TAK6BPFRVBCFN · pith_short_8: K65TAK6B

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/K65TAK6BPFRVBCFNHCQH7T7GIV \
  | 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: 57bb302bc179635088ad38a07fcfe6457a22d4dc53759e0bbbad2d4fcb662a33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f160fef07e517811e108b29beb6db8194b7c71298f4a25039eb6620c52a030e3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-05-27T15:23:27Z",
    "title_canon_sha256": "23ad986fd80e515d3fb8d8f827d1ae84d5f1a732745eb5d784e3dac39b77284e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08683",
    "kind": "arxiv",
    "version": 1
  }
}