Pith Number

pith:XEIAF3BB

pith:2015:XEIAF3BBMGRZGJJDY5P5NYUQ45

not attested not anchored not stored refs pending

Optimal approximation of multivariate periodic Sobolev functions in the sup-norm

Fernando Cobos, Thomas K\"uhn, Winfried Sickel

arxiv:1505.02636 v1 · 2015-05-11 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEIAF3BBMGRZGJJDY5P5NYUQ45}

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	2026-05-18T02:16:12.001741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91002ec2161a3932523c75fd6e290e7491bbf560397d0c7878f8b92b18c7b2f

Aliases

arxiv: 1505.02636 · arxiv_version: 1505.02636v1 · doi: 10.48550/arxiv.1505.02636 · pith_short_12: XEIAF3BBMGRZ · pith_short_16: XEIAF3BBMGRZGJJD · pith_short_8: XEIAF3BB

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/XEIAF3BBMGRZGJJDY5P5NYUQ45 \
  | 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: b91002ec2161a3932523c75fd6e290e7491bbf560397d0c7878f8b92b18c7b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b0c3ddf4b1bc87dd5662123c6bac454d7aadcab7e63022cc83b9750d6d6300",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-11T14:25:43Z",
    "title_canon_sha256": "14ae707a1d4c5649dc945d635907792aca2e916c2f26294b6554cc907c26d171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02636",
    "kind": "arxiv",
    "version": 1
  }
}