Pith Number

pith:EIKNIQYG

pith:2016:EIKNIQYG4DZMCWM4O2DGSCLU5O

not attested not anchored not stored refs pending

Product rules are optimal for numerical integration in classical smoothness spaces

Aicke Hinrichs, Erich Novak, Henryk Wozniakowski, Mario Ullrich

arxiv:1604.00261 v1 · 2016-04-01 · 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{EIKNIQYG4DZMCWM4O2DGSCLU5O}

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	2026-05-18T00:41:58.454424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2214d44306e0f2c1599c7686690974eb8e4140a9aacb3ace801ce856c37f9809

Aliases

arxiv: 1604.00261 · arxiv_version: 1604.00261v1 · doi: 10.48550/arxiv.1604.00261 · pith_short_12: EIKNIQYG4DZM · pith_short_16: EIKNIQYG4DZMCWM4 · pith_short_8: EIKNIQYG

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/EIKNIQYG4DZMCWM4O2DGSCLU5O \
  | 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: 2214d44306e0f2c1599c7686690974eb8e4140a9aacb3ace801ce856c37f9809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96f706dfa1d182dc94eb38f4ea16f6a4ad31da96ae9ef0b55b0183d26d5cfe93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-04-01T14:26:38Z",
    "title_canon_sha256": "1180cd5b68645eb092a810690137d7ffd0ef72f2feef15cb05d09f0de83f7327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00261",
    "kind": "arxiv",
    "version": 1
  }
}