Pith Number

pith:OUWUMD72

pith:2013:OUWUMD72QY4IH4BM7H3BYRABFO

not attested not anchored not stored refs pending

On Vinogradov's mean value theorem: strongly diagonal behaviour via efficient congruencing

Kevin Ford, Trevor D. Wooley

arxiv:1304.6917 v3 · 2013-04-25 · 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{OUWUMD72QY4IH4BM7H3BYRABFO}

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	2026-05-18T02:33:01.521149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

752d460ffa863883f02cf9f61c44012b9f87f676e2be0cea64f721cf5c482704

Aliases

arxiv: 1304.6917 · arxiv_version: 1304.6917v3 · doi: 10.48550/arxiv.1304.6917 · pith_short_12: OUWUMD72QY4I · pith_short_16: OUWUMD72QY4IH4BM · pith_short_8: OUWUMD72

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/OUWUMD72QY4IH4BM7H3BYRABFO \
  | 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: 752d460ffa863883f02cf9f61c44012b9f87f676e2be0cea64f721cf5c482704

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "626cd3c3467e81e2a86869621ce7ef8f67b0d4381b69d6bab58bbc947b20ebbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-25T14:14:55Z",
    "title_canon_sha256": "fbe2931b2387e61465309109fe0883cd65916ea625515019c24fabbadc9aaf53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6917",
    "kind": "arxiv",
    "version": 3
  }
}