Pith Number

pith:A7P7XNAZ

pith:2014:A7P7XNAZEDU55VWTBFSXRFZF7I

not attested not anchored not stored refs pending

Rank-1 lattice rules for multivariate integration in spaces of permutation-invariant functions: Error bounds and tractability

Dirk Nuyens, Gowri Suryanarayana, Markus Weimar

arxiv:1405.3156 v2 · 2014-05-13 · 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{A7P7XNAZEDU55VWTBFSXRFZF7I}

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	2026-05-18T02:25:26.492899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07dffbb41920e9ded6d30965789725fa3c68cdf4fc447dce0c93c5c9662b044d

Aliases

arxiv: 1405.3156 · arxiv_version: 1405.3156v2 · doi: 10.48550/arxiv.1405.3156 · pith_short_12: A7P7XNAZEDU5 · pith_short_16: A7P7XNAZEDU55VWT · pith_short_8: A7P7XNAZ

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/A7P7XNAZEDU55VWTBFSXRFZF7I \
  | 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: 07dffbb41920e9ded6d30965789725fa3c68cdf4fc447dce0c93c5c9662b044d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "988f5c2873c0bcb1cace0e82f5c62acaf7367a04f2715d0d21bf8f9945c28ec7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-05-13T14:04:37Z",
    "title_canon_sha256": "dd8f6433c052113326acbe86933aa54052f8c0c5f31010abf2c76f6e76ce2293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3156",
    "kind": "arxiv",
    "version": 2
  }
}