Pith Number

pith:WWDWROS3

pith:2010:WWDWROS3QYMZNOUL3CAD3X5CMP

not attested not anchored not stored refs pending

Davenport's method and slim exceptional sets: the asymptotic formulae in Waring's problem

Koichi Kawada, Trevor D. Wooley

arxiv:1004.2670 v1 · 2010-04-15 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWDWROS3QYMZNOUL3CAD3X5CMP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:56:00.227506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58768ba5b861996ba8bd8803ddfa263e87d1c50c17ebe4c9954819e7fc08f05

Aliases

arxiv: 1004.2670 · arxiv_version: 1004.2670v1 · doi: 10.48550/arxiv.1004.2670 · pith_short_12: WWDWROS3QYMZ · pith_short_16: WWDWROS3QYMZNOUL · pith_short_8: WWDWROS3

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/WWDWROS3QYMZNOUL3CAD3X5CMP \
  | 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: b58768ba5b861996ba8bd8803ddfa263e87d1c50c17ebe4c9954819e7fc08f05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f802b4054d3c4c075c05ca6ece9672ca7fdd927175147bcce0814fd70ae23fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-04-15T17:18:55Z",
    "title_canon_sha256": "2ece796a2243874c5b1e0191e3e9df8791c364da94450fcb9d0664d5dcb698fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2670",
    "kind": "arxiv",
    "version": 1
  }
}