Pith Number

pith:XNLGXUJU

pith:2008:XNLGXUJUOBGZFTA4SFHJRVIQ3K

not attested not anchored not stored refs pending

Localized linear polynomial operators and quadrature formulas on the sphere

H. N. Mhaskar, Q. T. Le Gia

arxiv:0811.1374 v1 · 2008-11-09 · math.NA · cs.NA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XNLGXUJUOBGZFTA4SFHJRVIQ3K}

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	2026-06-03T23:06:08.651052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb566bd134704d92cc1c914e98d510daa9d51bc259a5ac5279cf2d68a78947e6

Aliases

arxiv: 0811.1374 · arxiv_version: 0811.1374v1 · doi: 10.48550/arxiv.0811.1374 · pith_short_12: XNLGXUJUOBGZ · pith_short_16: XNLGXUJUOBGZFTA4 · pith_short_8: XNLGXUJU

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/XNLGXUJUOBGZFTA4SFHJRVIQ3K \
  | 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: bb566bd134704d92cc1c914e98d510daa9d51bc259a5ac5279cf2d68a78947e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df6b6dcb415e4eae1c11fe7fa633754f15feb3e9b2ea56e9c5a9dbb3d1fba539",
    "cross_cats_sorted": [
      "cs.NA",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-11-09T21:31:48Z",
    "title_canon_sha256": "8463ea30fdf1e4d6e729a6d7d027b0b698fff2d73634619af59f4279b14484eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1374",
    "kind": "arxiv",
    "version": 1
  }
}