Pith Number

pith:GGPLOWSX

pith:2014:GGPLOWSXI4VACRDXKRN6GCEI2H

not attested not anchored not stored refs pending

On Wiener norm of subsets of Z_p of medium size

Ilya D. Shkredov, Sergei V. Konyagin

arxiv:1403.8129 v1 · 2014-03-31 · math.CA · math.CO · 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{GGPLOWSXI4VACRDXKRN6GCEI2H}

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	2026-05-18T02:55:11.766948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319eb75a57472a014477545be30888d1e884519511a3245683c97504fea3d9ff

Aliases

arxiv: 1403.8129 · arxiv_version: 1403.8129v1 · doi: 10.48550/arxiv.1403.8129 · pith_short_12: GGPLOWSXI4VA · pith_short_16: GGPLOWSXI4VACRDX · pith_short_8: GGPLOWSX

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/GGPLOWSXI4VACRDXKRN6GCEI2H \
  | 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: 319eb75a57472a014477545be30888d1e884519511a3245683c97504fea3d9ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3143e0d0378daf7d208eff89b76f9040fa478fd6ab54e0ebc86234a8a947a396",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-03-31T19:04:04Z",
    "title_canon_sha256": "5fc55436b0f145e8fe5cea3b058c0ca9e907be89cbbf9af47903d91803f4a224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.8129",
    "kind": "arxiv",
    "version": 1
  }
}