Pith Number

pith:MB2EVF3N

pith:2013:MB2EVF3NNYKICWRQN3VNNQ7X5C

not attested not anchored not stored refs pending

The two-point correlation function of the fractional parts of \sqrt{n} is Poisson

Daniel El-Baz, Ilya Vinogradov, Jens Marklof

arxiv:1306.6543 v1 · 2013-06-27 · 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{MB2EVF3NNYKICWRQN3VNNQ7X5C}

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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	2026-05-18T03:19:44.535775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60744a976d6e14815a306eead6c3f7e8b7296fa4d41b3cfdea48fd9b9a2520b6

Aliases

arxiv: 1306.6543 · arxiv_version: 1306.6543v1 · doi: 10.48550/arxiv.1306.6543 · pith_short_12: MB2EVF3NNYKI · pith_short_16: MB2EVF3NNYKICWRQ · pith_short_8: MB2EVF3N

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/MB2EVF3NNYKICWRQN3VNNQ7X5C \
  | 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: 60744a976d6e14815a306eead6c3f7e8b7296fa4d41b3cfdea48fd9b9a2520b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d307493fbfa363804bdc4c83453184028d3d2bbc98ee84b59f36999725248ac",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-27T15:17:11Z",
    "title_canon_sha256": "0578d5762a8c1aa3d2cdcefacc854946122a0feffe7fd493ceab1491a5c5c9fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6543",
    "kind": "arxiv",
    "version": 1
  }
}