Pith Number

pith:53YJXLDH

pith:2012:53YJXLDHOP5A4UKQQIEGEQ2L7H

not attested not anchored not stored refs pending

Generalized Riesz Products on the Bohr compactification of $\R$

el Houcein el Abdalaoui

arxiv:1206.0493 v4 · 2012-06-03 · math.DS · math.CV · math.PR · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53YJXLDHOP5A4UKQQIEGEQ2L7H}

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	2026-05-18T02:30:55.254746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef09bac6773fa0e5150820862434bf9c5257ffef191de175a40cee897b9125e

Aliases

arxiv: 1206.0493 · arxiv_version: 1206.0493v4 · doi: 10.48550/arxiv.1206.0493 · pith_short_12: 53YJXLDHOP5A · pith_short_16: 53YJXLDHOP5A4UKQ · pith_short_8: 53YJXLDH

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/53YJXLDHOP5A4UKQQIEGEQ2L7H \
  | 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: eef09bac6773fa0e5150820862434bf9c5257ffef191de175a40cee897b9125e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a16df8f56862c3f0f9944711924da8aca3757fa53f140b3b42d584fd26a0d4a",
    "cross_cats_sorted": [
      "math.CV",
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-03T21:36:43Z",
    "title_canon_sha256": "319133532dcb1d167a13619fa19d0188db78e27ae5dafdee0f89f9788668b4e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0493",
    "kind": "arxiv",
    "version": 4
  }
}