Pith Number

pith:HMQOY22H

pith:2009:HMQOY22HZNF3G5TNBV45P7AJAR

not attested not anchored not stored refs pending

The Penalized Lebesgue Constant for Surface Spline Interpolation

Thomas Hangelbroek

arxiv:0911.1815 v2 · 2009-11-10 · math.CA · 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{HMQOY22HZNF3G5TNBV45P7AJAR}

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	2026-05-18T04:12:32.523669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b20ec6b47cb4bb3766d0d79d7fc09045ddc0e52c2a5bda391be4c99da3ebae6

Aliases

arxiv: 0911.1815 · arxiv_version: 0911.1815v2 · doi: 10.48550/arxiv.0911.1815 · pith_short_12: HMQOY22HZNF3 · pith_short_16: HMQOY22HZNF3G5TN · pith_short_8: HMQOY22H

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/HMQOY22HZNF3G5TNBV45P7AJAR \
  | 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: 3b20ec6b47cb4bb3766d0d79d7fc09045ddc0e52c2a5bda391be4c99da3ebae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ce8e3de79e3cea6c37206bd9cd4ab7815d9b1a21ea79895be518aa16d67276",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-11-10T01:51:20Z",
    "title_canon_sha256": "21d0512cfd1490e64672d58d68587f2c1f459c56f8c3276efeaf44205693b563"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1815",
    "kind": "arxiv",
    "version": 2
  }
}