Pith Number

pith:UPOX7A4G

pith:2018:UPOX7A4GM3YBVWKKRWCCZ3MOG7

not attested not anchored not stored refs pending

Worst-case error for unshifted lattice rules without randomisation

Frances Y. Kuo, Ian H. Sloan, Yoshihito Kazashi

arxiv:1811.05676 v1 · 2018-11-14 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPOX7A4GM3YBVWKKRWCCZ3MOG7}

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	2026-05-18T00:00:42.367780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3dd7f838666f01ad94a8d842ced8e37f748259789d13e3bc8436b05a55b9353

Aliases

arxiv: 1811.05676 · arxiv_version: 1811.05676v1 · doi: 10.48550/arxiv.1811.05676 · pith_short_12: UPOX7A4GM3YB · pith_short_16: UPOX7A4GM3YBVWKK · pith_short_8: UPOX7A4G

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/UPOX7A4GM3YBVWKKRWCCZ3MOG7 \
  | 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: a3dd7f838666f01ad94a8d842ced8e37f748259789d13e3bc8436b05a55b9353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9969ea1607aec169b06117499f817f13f6ed19f513160da79658ef24a8a942d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-11-14T08:05:21Z",
    "title_canon_sha256": "6b0a19c6eb8b0b80d168a81dfb1e121ff706c9f8cbeebb803d5dd656b115127d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05676",
    "kind": "arxiv",
    "version": 1
  }
}