Pith Number

pith:R55HJWAJ

pith:2012:R55HJWAJXGD7Y3UP3UNDJ5RIW6

not attested not anchored not stored refs pending

Sparse grid quadrature on products of spheres

Markus Hegland, Paul Leopardi (Australian National University)

arxiv:1202.5710 v8 · 2012-02-26 · math.NA · cs.NA · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R55HJWAJXGD7Y3UP3UNDJ5RIW6}

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	2026-05-18T00:46:21.454834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f7a74d809b987fc6e8fdd1a34f628b78c13f449fe6b6c1f35a723c27da1d72f

Aliases

arxiv: 1202.5710 · arxiv_version: 1202.5710v8 · doi: 10.48550/arxiv.1202.5710 · pith_short_12: R55HJWAJXGD7 · pith_short_16: R55HJWAJXGD7Y3UP · pith_short_8: R55HJWAJ

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/R55HJWAJXGD7Y3UP3UNDJ5RIW6 \
  | 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: 8f7a74d809b987fc6e8fdd1a34f628b78c13f449fe6b6c1f35a723c27da1d72f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f539b05f517e9a3edc1fbb6d200afbf2f915ceccbe437567b04ca7b8fb593f25",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-02-26T01:29:54Z",
    "title_canon_sha256": "5d828128f5855d3e10db717f979c4e47c92415d9fcda3594200df346504e0dcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5710",
    "kind": "arxiv",
    "version": 8
  }
}