Pith Number

pith:ICRR5CJJ

pith:2018:ICRR5CJJOLFNACSKTBN4FAMV3F

not attested not anchored not stored refs pending

Poissonian Pair Correlation in Higher Dimensions

Stefan Steinerberger

arxiv:1812.10458 v3 · 2018-12-26 · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ICRR5CJJOLFNACSKTBN4FAMV3F}

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.

Cited by

1 paper in Pith

On the number of gaps of sequences with Poissonian Pair Correlations

Receipt and verification

First computed	2026-05-17T23:40:41.300502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40a31e892972cad00a4a985bc28195d9613ac6b01bde419c74f26fd78d6afd2e

Aliases

arxiv: 1812.10458 · arxiv_version: 1812.10458v3 · doi: 10.48550/arxiv.1812.10458 · pith_short_12: ICRR5CJJOLFN · pith_short_16: ICRR5CJJOLFNACSK · pith_short_8: ICRR5CJJ

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/ICRR5CJJOLFNACSKTBN4FAMV3F \
  | 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: 40a31e892972cad00a4a985bc28195d9613ac6b01bde419c74f26fd78d6afd2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b387fd97bbe2f71bf43887e0816729981f758d0f17dd13c71efb65a7b7e792af",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-26T18:49:15Z",
    "title_canon_sha256": "c4dd3f7de22cc240b43140567dbad18e0197f10ec4821e3f387b01a571ab318f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10458",
    "kind": "arxiv",
    "version": 3
  }
}