Pith Number

pith:3WWU32OI

pith:2011:3WWU32OINJK7QRCFOM2YFQ6XUY

not attested not anchored not stored refs pending

A characterisation of the Fourier transform on the Heisenberg group

R. Lakshmi Lavanya, S. Thangavelu

arxiv:1110.3222 v1 · 2011-10-14 · 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{3WWU32OINJK7QRCFOM2YFQ6XUY}

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	2026-05-18T04:10:57.723150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddad4de9c86a55f84445733582c3d7a6283fa182a8d6b5b7d3959c93c41e0199

Aliases

arxiv: 1110.3222 · arxiv_version: 1110.3222v1 · doi: 10.48550/arxiv.1110.3222 · pith_short_12: 3WWU32OINJK7 · pith_short_16: 3WWU32OINJK7QRCF · pith_short_8: 3WWU32OI

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/3WWU32OINJK7QRCFOM2YFQ6XUY \
  | 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: ddad4de9c86a55f84445733582c3d7a6283fa182a8d6b5b7d3959c93c41e0199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33efc04bbb5d9ca84b8c98f1f7cd31d70760bc8fbc57ff076fd83cada4554b6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-10-14T14:39:10Z",
    "title_canon_sha256": "80b8ed1a4b889fe674ac3a80c126d4cf82720ff40fd7d5afd09a44217c59c664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3222",
    "kind": "arxiv",
    "version": 1
  }
}