Pith Number

pith:TGHMZ2ZK

pith:2011:TGHMZ2ZKJRDMUQGNLWCRB3N3U2

not attested not anchored not stored refs pending

Exact asymptotics of the optimal $L_{p,\Omega}$-error of linear spline interpolation

Dmytro Skorokhodov, Vladislav Babenko, Yuliya Babenko

arxiv:1101.2700 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{TGHMZ2ZKJRDMUQGNLWCRB3N3U2}

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	2026-05-18T02:22:57.675114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998ecceb2a4c46ca40cd5d8510edbba6accd35e10916bd83769aed54cfee8c6b

Aliases

arxiv: 1101.2700 · arxiv_version: 1101.2700v1 · doi: 10.48550/arxiv.1101.2700 · pith_short_12: TGHMZ2ZKJRDM · pith_short_16: TGHMZ2ZKJRDMUQGN · pith_short_8: TGHMZ2ZK

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/TGHMZ2ZKJRDMUQGNLWCRB3N3U2 \
  | 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: 998ecceb2a4c46ca40cd5d8510edbba6accd35e10916bd83769aed54cfee8c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d1215bd740f4443bb373aea3c5028160de01e2687595a40c39c4f12cc8c9363",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-01-14T00:22:02Z",
    "title_canon_sha256": "10cfc6cc463014e5d72fc358fa1d9f3312b2d31af2d78a1051d6355bec18bdef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2700",
    "kind": "arxiv",
    "version": 1
  }
}