Pith Number

pith:NWRKFLVZ

pith:2010:NWRKFLVZ67R2UV5WIP23OEI7AO

not attested not anchored not stored refs pending

Pointwise Approximation Theorems for Combinations of Bernstein Polynomials With Inner Singularities

Lin Zhang, Wen-ming Lu

arxiv:1008.2264 v3 · 2010-08-13 · 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{NWRKFLVZ67R2UV5WIP23OEI7AO}

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	2026-05-18T04:23:35.140534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6da2a2aeb9f7e3aa57b643f5b7111f038f53b22a0ce8c32732227124e3068ddb

Aliases

arxiv: 1008.2264 · arxiv_version: 1008.2264v3 · doi: 10.48550/arxiv.1008.2264 · pith_short_12: NWRKFLVZ67R2 · pith_short_16: NWRKFLVZ67R2UV5W · pith_short_8: NWRKFLVZ

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/NWRKFLVZ67R2UV5WIP23OEI7AO \
  | 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: 6da2a2aeb9f7e3aa57b643f5b7111f038f53b22a0ce8c32732227124e3068ddb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fc45309e9fd7f51cb87107f7c7d876c6b35d0ce55fdc760487c05195b065941",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-08-13T08:00:22Z",
    "title_canon_sha256": "40959035b715af296924439b6727b35885e58988b43171349ce77bcc7f1e859f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2264",
    "kind": "arxiv",
    "version": 3
  }
}