Pith Number

pith:QPRIZTQL

pith:2017:QPRIZTQLLSQFMVOJNPWLESHHFF

not attested not anchored not stored refs pending

Spherical equidistribution in adelic lattices and applications

Daniel El-Baz

arxiv:1710.07944 v1 · 2017-10-22 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPRIZTQLLSQFMVOJNPWLESHHFF}

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	2026-05-18T00:32:19.349561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e28cce0b5ca05655c96becb248e729760c4a24a483ffcbe0f69dc350bd78dd

Aliases

arxiv: 1710.07944 · arxiv_version: 1710.07944v1 · doi: 10.48550/arxiv.1710.07944 · pith_short_12: QPRIZTQLLSQF · pith_short_16: QPRIZTQLLSQFMVOJ · pith_short_8: QPRIZTQL

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/QPRIZTQLLSQFMVOJNPWLESHHFF \
  | 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: 83e28cce0b5ca05655c96becb248e729760c4a24a483ffcbe0f69dc350bd78dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "267ae19c568ca89a057df4d68cefc04d0cf164f2c6274784373f0a4e28d25563",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-22T14:04:08Z",
    "title_canon_sha256": "a3ea195bfbe0d5a05a8e7bb7f688df3a3d9480bfa132aafcae9009abe56d5085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07944",
    "kind": "arxiv",
    "version": 1
  }
}