Pith Number

pith:332UOK6I

pith:2011:332UOK6IV7S4V7LZNAOSLLFDDY

not attested not anchored not stored refs pending

Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules

Dirk Nuyens, Friedrich Pillichshammer, Gunther Leobacher, Jan Baldeaux, Josef Dick

arxiv:1105.2599 v2 · 2011-05-13 · 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{332UOK6IV7S4V7LZNAOSLLFDDY}

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	2026-05-18T03:15:45.622544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

def5472bc8afe5cafd79681d25aca31e06a208844dcbfe9e78d04eeb8a96aa69

Aliases

arxiv: 1105.2599 · arxiv_version: 1105.2599v2 · doi: 10.48550/arxiv.1105.2599 · pith_short_12: 332UOK6IV7S4 · pith_short_16: 332UOK6IV7S4V7LZ · pith_short_8: 332UOK6I

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/332UOK6IV7S4V7LZNAOSLLFDDY \
  | 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: def5472bc8afe5cafd79681d25aca31e06a208844dcbfe9e78d04eeb8a96aa69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e0ad5a932d3afee07b299c3ae56a0815041eadd8561d1b81479dda202afcfca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-05-13T02:31:20Z",
    "title_canon_sha256": "87b3a0475dadf729683cba11fccacdab6dfa9da0177f8c1026f5ab0cf253cfe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2599",
    "kind": "arxiv",
    "version": 2
  }
}