Pith Number

pith:UOST6FUY

pith:2021:UOST6FUYXQFBOKSIGLV372T63N

not attested not anchored not stored refs pending

Correlations of the Fractional Parts of $\alpha n^\theta$

Christopher Lutsko, Niclas Technau

arxiv:2112.11524 v1 · 2021-12-21 · 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{UOST6FUYXQFBOKSIGLV372T63N}

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

The bad and rough rotation is Poissonian

Receipt and verification

First computed	2026-07-05T03:43:07.867090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3a53f1698bc0a172a4832ebbfea7edb5af6df25da1185676bc9e939536145dc

Aliases

arxiv: 2112.11524 · arxiv_version: 2112.11524v1 · doi: 10.48550/arxiv.2112.11524 · pith_short_12: UOST6FUYXQFB · pith_short_16: UOST6FUYXQFBOKSI · pith_short_8: UOST6FUY

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/UOST6FUYXQFBOKSIGLV372T63N \
  | 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: a3a53f1698bc0a172a4832ebbfea7edb5af6df25da1185676bc9e939536145dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf00525bd9e4d3a6bc52e43c3bde81f10fe351b67ddc0eded3913e846e973ede",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-12-21T21:15:41Z",
    "title_canon_sha256": "ae98c61602544aa55e70729466987d6746f2c67bb2d0e54696fa0a7dc116574e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.11524",
    "kind": "arxiv",
    "version": 1
  }
}