Pith Number

pith:6H54PPZY

pith:2014:6H54PPZY3HEAZK7Q7DCN4BUYMD

not attested not anchored not stored refs pending

Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces

Edward B. Saff, Ian H. Sloan, Johann S. Brauchart, Josef Dick, Robert S. Womersley, Yu Guang Wang

arxiv:1407.8311 v2 · 2014-07-31 · 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{6H54PPZY3HEAZK7Q7DCN4BUYMD}

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	2026-05-18T00:39:29.331000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1fbc7bf38d9c80cabf0f8c4de069860dd78ac875a6ec40551c8391afc00e8a8

Aliases

arxiv: 1407.8311 · arxiv_version: 1407.8311v2 · doi: 10.48550/arxiv.1407.8311 · pith_short_12: 6H54PPZY3HEA · pith_short_16: 6H54PPZY3HEAZK7Q · pith_short_8: 6H54PPZY

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/6H54PPZY3HEAZK7Q7DCN4BUYMD \
  | 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: f1fbc7bf38d9c80cabf0f8c4de069860dd78ac875a6ec40551c8391afc00e8a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e244c02427598411d4e1b7e3a72f3bbf5c00a19b50e2308ba0dd8f5383cc966",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-07-31T08:37:28Z",
    "title_canon_sha256": "b3bb69e10eec56acd082a0e4e31e524467e65efe347a9fba844fcc3685fccf70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8311",
    "kind": "arxiv",
    "version": 2
  }
}