Pith Number

pith:3YGYQV6X

pith:2017:3YGYQV6X4FNITM5ZPZYG3IIAPG

not attested not anchored not stored refs pending

Lattice rules with random $n$ achieve nearly the optimal $\mathcal{O}(n^{-\alpha-1/2})$ error independently of the dimension

Dirk Nuyens, Frances Y. Kuo, Mario Ullrich, Peter Kritzer

arxiv:1706.04502 v3 · 2017-06-14 · math.NA · cs.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{3YGYQV6X4FNITM5ZPZYG3IIAPG}

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	2026-06-04T18:10:55.576171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de0d8857d7e15a89b3b97e706da10079a6c8f69251347d20bf29d253569e6525

Aliases

arxiv: 1706.04502 · arxiv_version: 1706.04502v3 · doi: 10.48550/arxiv.1706.04502 · pith_short_12: 3YGYQV6X4FNI · pith_short_16: 3YGYQV6X4FNITM5Z · pith_short_8: 3YGYQV6X

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/3YGYQV6X4FNITM5ZPZYG3IIAPG \
  | 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: de0d8857d7e15a89b3b97e706da10079a6c8f69251347d20bf29d253569e6525

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "721da1757d65e43976cae95128685dfa7f30c13563b7f42ecce3227aea849724",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-06-14T14:03:36Z",
    "title_canon_sha256": "417b779cc7f1410cc1a63b24e987f6e1b69f0b18dcfdd536ef6ceb79c2709da8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04502",
    "kind": "arxiv",
    "version": 3
  }
}