Pith Number

pith:ZQSD4QR2

pith:2010:ZQSD4QR2OGXTWMDT4MPHBK7RJA

not attested not anchored not stored refs pending

Pointwise weighted approximation of functions with inner singularities by combinations of Bernstein operators

Lin Zhang, Wen-ming Lu

arxiv:1007.4293 v5 · 2010-07-25 · 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{ZQSD4QR2OGXTWMDT4MPHBK7RJA}

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	2026-05-18T04:19:22.182096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc243e423a71af3b3073e31e70abf14808f162ee205ace45fb10910493ab5531

Aliases

arxiv: 1007.4293 · arxiv_version: 1007.4293v5 · doi: 10.48550/arxiv.1007.4293 · pith_short_12: ZQSD4QR2OGXT · pith_short_16: ZQSD4QR2OGXTWMDT · pith_short_8: ZQSD4QR2

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/ZQSD4QR2OGXTWMDT4MPHBK7RJA \
  | 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: cc243e423a71af3b3073e31e70abf14808f162ee205ace45fb10910493ab5531

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e08c3ff3e67ee8857352c5328a3cf2672c29311108c4359e270083b9df76c8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-07-25T01:37:19Z",
    "title_canon_sha256": "426a23fe72a3656768ab24a39dc8e4e308bf00fca49461fca47b236cc47fda87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4293",
    "kind": "arxiv",
    "version": 5
  }
}