Pith Number

pith:4LWX6VVH

pith:2011:4LWX6VVHDZPDF54M4EBOW3REPY

not attested not anchored not stored refs pending

Beurling-Fourier algebras on compact groups: spectral theory

Jean Ludwig, Lyudmila Turowska, Nico Spronk

arxiv:1103.4063 v1 · 2011-03-21 · 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{4LWX6VVHDZPDF54M4EBOW3REPY}

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	2026-05-18T04:26:21.895762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ed7f56a71e5e32f78ce102eb6e247e1c19a7e0a2f433fea5b87a79b0c64f7f

Aliases

arxiv: 1103.4063 · arxiv_version: 1103.4063v1 · doi: 10.48550/arxiv.1103.4063 · pith_short_12: 4LWX6VVHDZPD · pith_short_16: 4LWX6VVHDZPDF54M · pith_short_8: 4LWX6VVH

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/4LWX6VVHDZPDF54M4EBOW3REPY \
  | 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: e2ed7f56a71e5e32f78ce102eb6e247e1c19a7e0a2f433fea5b87a79b0c64f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "502e98753ad399026b7fb560c7cb913321e8da3b470402cfef6113b27bb54b10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-21T16:06:32Z",
    "title_canon_sha256": "662253dcd3514446bf87df1986d8f59495264ca99748c84cc7f23b778025dcce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4063",
    "kind": "arxiv",
    "version": 1
  }
}