Pith Number

pith:7GZIWUKJ

pith:2015:7GZIWUKJW7Z3WC7ZXR5JKRXFD7

not attested not anchored not stored refs pending

Uniform distribution of subpolynomial functions along primes and applications

Grigori Kolesnik, Vitaly Bergelson, Younghwan Son

arxiv:1503.04960 v2 · 2015-03-17 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GZIWUKJW7Z3WC7ZXR5JKRXFD7}

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	2026-05-18T02:17:33.040506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9b28b5149b7f3bb0bf9bc7a9546e51fd6454e3cda3a1f9f1b6cff3e56301c12

Aliases

arxiv: 1503.04960 · arxiv_version: 1503.04960v2 · doi: 10.48550/arxiv.1503.04960 · pith_short_12: 7GZIWUKJW7Z3 · pith_short_16: 7GZIWUKJW7Z3WC7Z · pith_short_8: 7GZIWUKJ

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/7GZIWUKJW7Z3WC7ZXR5JKRXFD7 \
  | 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: f9b28b5149b7f3bb0bf9bc7a9546e51fd6454e3cda3a1f9f1b6cff3e56301c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af4e6088d638b4bdff7bbd3368b7c396f1b883788c6b5ce968e3f03b926c0afa",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-17T09:17:59Z",
    "title_canon_sha256": "16c67ed99bc74b09c1222aa75f0bc406be52ca02c3adeed32d7d3ee4bb239318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04960",
    "kind": "arxiv",
    "version": 2
  }
}