Pith Number

pith:ZWO7SMTG

pith:2025:ZWO7SMTG4Q2VQ3MS5CLV7FGOHZ

not attested not anchored not stored refs pending

Metric Poissonian pair correlation for real sequences and energy estimates

Bryce Kerr, Hongliang Wang

arxiv:2506.17031 v2 · 2025-06-20 · 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{ZWO7SMTG4Q2VQ3MS5CLV7FGOHZ}

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

Pair correlation of $\alpha n^{\theta}$ for random $\theta$

Receipt and verification

First computed	2026-07-05T11:53:47.943117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd9df93266e435586d92e8975f94ce3e430a67441be52165d85551e15b944953

Aliases

arxiv: 2506.17031 · arxiv_version: 2506.17031v2 · doi: 10.48550/arxiv.2506.17031 · pith_short_12: ZWO7SMTG4Q2V · pith_short_16: ZWO7SMTG4Q2VQ3MS · pith_short_8: ZWO7SMTG

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/ZWO7SMTG4Q2VQ3MS5CLV7FGOHZ \
  | 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: cd9df93266e435586d92e8975f94ce3e430a67441be52165d85551e15b944953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16c3f8875d6814630d316ba333f136abe5f2b7a3fb60f520a21326ec26ac30ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-20T14:37:34Z",
    "title_canon_sha256": "6b4cdda0ca255b685b2dacd117a3fae4ca504782f9926a62bc6eb786184b68ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17031",
    "kind": "arxiv",
    "version": 2
  }
}