Pith Number

pith:2GL3HJPK

pith:2010:2GL3HJPKXH43E2LVSH7RVSHAR3

not attested not anchored not stored refs pending

Another weighted approximation of functions with singularities by combinations of Bernstein operators

Lin Zhang, Wen-ming Lu

arxiv:1007.1044 v5 · 2010-07-07 · 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{2GL3HJPKXH43E2LVSH7RVSHAR3}

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	2026-05-18T04:19:22.206518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d197b3a5eab9f9b2697591ff1ac8e08ee602bf170761c67639147e39a7ff6306

Aliases

arxiv: 1007.1044 · arxiv_version: 1007.1044v5 · doi: 10.48550/arxiv.1007.1044 · pith_short_12: 2GL3HJPKXH43 · pith_short_16: 2GL3HJPKXH43E2LV · pith_short_8: 2GL3HJPK

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/2GL3HJPKXH43E2LVSH7RVSHAR3 \
  | 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: d197b3a5eab9f9b2697591ff1ac8e08ee602bf170761c67639147e39a7ff6306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1583efdbc88f1c90ffdfb35b9f9bfe498fc83a42f6f1f96fe4c208cce831956",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-07-07T04:24:47Z",
    "title_canon_sha256": "cda3dbca0cfdcabc3d84f946a004d3bc419b390c9f43406ee07dfa4360633977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1044",
    "kind": "arxiv",
    "version": 5
  }
}