Pith Number

pith:GMXQPPWF

pith:2011:GMXQPPWFUT5RQ2YJOCY5ZM2ETC

not attested not anchored not stored refs pending

On the $L_p$-error of approximation of bivariate functions by harmonic splines

Tatyana Leskevich, Yuliya Babenko

arxiv:1101.2696 v1 · 2011-01-14 · 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{GMXQPPWFUT5RQ2YJOCY5ZM2ETC}

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	2026-05-18T04:31:31.887244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

332f07bec5a4fb186b0970b1dcb344988a4deec74018ddbe35d3046dbeab62de

Aliases

arxiv: 1101.2696 · arxiv_version: 1101.2696v1 · doi: 10.48550/arxiv.1101.2696 · pith_short_12: GMXQPPWFUT5R · pith_short_16: GMXQPPWFUT5RQ2YJ · pith_short_8: GMXQPPWF

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/GMXQPPWFUT5RQ2YJOCY5ZM2ETC \
  | 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: 332f07bec5a4fb186b0970b1dcb344988a4deec74018ddbe35d3046dbeab62de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2acaab338c0c70afe93f8924c2b416e4747f95a210198d55ccca357256396818",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-01-14T00:01:06Z",
    "title_canon_sha256": "f22f52a50f719f21134a1b95b0636bb88c1d888d9ff7938d3ffdc0176aa02619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2696",
    "kind": "arxiv",
    "version": 1
  }
}