Pith Number

pith:G42E6XCF

pith:2025:G42E6XCFA5HJDQWMSIKRBA2KVC

not attested not anchored not stored refs pending

The bad and rough rotation is Poissonian

Manuel Hauke

arxiv:2506.01736 v1 · 2025-06-02 · 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{G42E6XCFA5HJDQWMSIKRBA2KVC}

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	2026-07-05T11:14:18.595496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37344f5c45074e91c2cc921510834aa88cba573798248e8519fceadc39395f0e

Aliases

arxiv: 2506.01736 · arxiv_version: 2506.01736v1 · doi: 10.48550/arxiv.2506.01736 · pith_short_12: G42E6XCFA5HJ · pith_short_16: G42E6XCFA5HJDQWM · pith_short_8: G42E6XCF

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/G42E6XCFA5HJDQWMSIKRBA2KVC \
  | 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: 37344f5c45074e91c2cc921510834aa88cba573798248e8519fceadc39395f0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e2c1cac0d6b12d425252f9d6c1cb126af7a2bedd563270fa2d34f9356d45a0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-02T14:46:01Z",
    "title_canon_sha256": "936fc4388350e1e9584518d5702bf0917bdb06a5b313d066a997b49c020141d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01736",
    "kind": "arxiv",
    "version": 1
  }
}