Pith Number

pith:OCXXOAR3

pith:2018:OCXXOAR3KZB4FTYKE4FMLNZFDG

not attested not anchored not stored refs pending

Generation of Nested Quadrature Rules for Generic Weight Functions via Numerical Optimization: Application to Sparse Grids

Akil Narayan, Robert M. Kirby, Vahid Keshavarzzadeh

arxiv:1808.03707 v1 · 2018-08-10 · 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{OCXXOAR3KZB4FTYKE4FMLNZFDG}

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	2026-05-18T00:08:19.961443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70af77023b5643c2cf0a270ac5b725199c6ba12c4b164bee284ba2fb401e4b12

Aliases

arxiv: 1808.03707 · arxiv_version: 1808.03707v1 · doi: 10.48550/arxiv.1808.03707 · pith_short_12: OCXXOAR3KZB4 · pith_short_16: OCXXOAR3KZB4FTYK · pith_short_8: OCXXOAR3

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/OCXXOAR3KZB4FTYKE4FMLNZFDG \
  | 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: 70af77023b5643c2cf0a270ac5b725199c6ba12c4b164bee284ba2fb401e4b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bc268a752fcf6864954c3166778a6b828d542727e29c687f893bfc86c83a1fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-10T21:06:38Z",
    "title_canon_sha256": "2d6e493b37393ee60beae875bf94e5bf7f3e57c9d613c06ec86911c5ed2156c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03707",
    "kind": "arxiv",
    "version": 1
  }
}