Pith Number

pith:USFNTEJZ

pith:2009:USFNTEJZVUREM47SIBWEN6JJE5

not attested not anchored not stored refs pending

Kernel Approximation on Manifolds I: Bounding the Lebesgue Constant

Fran J. Narcowich, Joe D. Ward, Thomas Hangelbroek

arxiv:0909.0033 v2 · 2009-08-31 · math.CA · cs.NA · 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{USFNTEJZVUREM47SIBWEN6JJE5}

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	2026-06-03T23:06:28.548965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a48ad99139ad224673f2406c46f929276ecb4695e0dddfaba9ecca7c2d90ac40

Aliases

arxiv: 0909.0033 · arxiv_version: 0909.0033v2 · doi: 10.48550/arxiv.0909.0033 · pith_short_12: USFNTEJZVURE · pith_short_16: USFNTEJZVUREM47S · pith_short_8: USFNTEJZ

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/USFNTEJZVUREM47SIBWEN6JJE5 \
  | 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: a48ad99139ad224673f2406c46f929276ecb4695e0dddfaba9ecca7c2d90ac40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c2458041c06d370f9daf8876788aa5fe0e48cc802e6f2e86e2aaea3952f17b6",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-08-31T20:30:56Z",
    "title_canon_sha256": "a3a40b46d4444bb4fc6fd948bf116b5f2691b329f1709ee8e39fadf0410c5b70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0033",
    "kind": "arxiv",
    "version": 2
  }
}