Pith Number

pith:Y2YTOGH3

pith:2025:Y2YTOGH3SOSOHQWO4LFQHQOV3R

not attested not anchored not stored refs pending

On the greatest prime factor and uniform equidistribution of quadratic polynomials

Jori Merikoski, Lasse Grimmelt

arxiv:2505.00493 v2 · 2025-05-01 · 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{Y2YTOGH3SOSOHQWO4LFQHQOV3R}

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.

Receipt and verification

First computed	2026-07-05T11:12:31.219707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b13718fb93a4e3c2cee2cb03c1d5dc5c9c551052a7b7be05ee29830752d494

Aliases

arxiv: 2505.00493 · arxiv_version: 2505.00493v2 · doi: 10.48550/arxiv.2505.00493 · pith_short_12: Y2YTOGH3SOSO · pith_short_16: Y2YTOGH3SOSOHQWO · pith_short_8: Y2YTOGH3

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/Y2YTOGH3SOSOHQWO4LFQHQOV3R \
  | 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: c6b13718fb93a4e3c2cee2cb03c1d5dc5c9c551052a7b7be05ee29830752d494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfe0bc105e135200c8cc12d9b73b8b1a0ec85eb3d7fadbca33f09a55d9243607",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-01T12:47:12Z",
    "title_canon_sha256": "95478f4bab29e46f0875f89932ebd5c2d8954f3850e4db054617b3d4884fe643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.00493",
    "kind": "arxiv",
    "version": 2
  }
}