Pith Number

pith:QOUPMIKA

pith:2013:QOUPMIKA7P5NZFO7ZPWSJVOA2T

not attested not anchored not stored refs pending

Explicit constructions of quasi-Monte Carlo rules for the numerical integration of high dimensional periodic functions

Josef Dick

arxiv:1304.0329 v1 · 2013-04-01 · 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{QOUPMIKA7P5NZFO7ZPWSJVOA2T}

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	2026-05-18T03:29:17.260795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83a8f62140fbfadc95dfcbed24d5c0d4c43bfe0cd37b1b24ccd65a8756dbaae0

Aliases

arxiv: 1304.0329 · arxiv_version: 1304.0329v1 · doi: 10.48550/arxiv.1304.0329 · pith_short_12: QOUPMIKA7P5N · pith_short_16: QOUPMIKA7P5NZFO7 · pith_short_8: QOUPMIKA

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/QOUPMIKA7P5NZFO7ZPWSJVOA2T \
  | 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: 83a8f62140fbfadc95dfcbed24d5c0d4c43bfe0cd37b1b24ccd65a8756dbaae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31253f20f3bf246979530e420ee7ece0383c22d8292ec8a09746fb4e153e2be6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-04-01T10:57:48Z",
    "title_canon_sha256": "6772cbe27c3e4b2e08d8b8ee5a75805f064d0e21fc40a8a95d95cf18043ba3e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0329",
    "kind": "arxiv",
    "version": 1
  }
}