Pith Number

pith:U2FWSE44

pith:2013:U2FWSE44AHSFZPTAARCM2BN6HF

not attested not anchored not stored refs pending

Geometric series of positive linear operators and inverse Voronovskaya theorem

Mircea Ivan, Radu P\u{a}lt\u{a}nea, Ulrich Abel

arxiv:1304.5721 v1 · 2013-04-21 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2FWSE44AHSFZPTAARCM2BN6HF}

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	2026-05-18T01:09:32.886580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a68b69139c01e45cbe600444cd05be3948673b31711b739232be961fb470f50f

Aliases

arxiv: 1304.5721 · arxiv_version: 1304.5721v1 · doi: 10.48550/arxiv.1304.5721 · pith_short_12: U2FWSE44AHSF · pith_short_16: U2FWSE44AHSFZPTA · pith_short_8: U2FWSE44

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/U2FWSE44AHSFZPTAARCM2BN6HF \
  | 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: a68b69139c01e45cbe600444cd05be3948673b31711b739232be961fb470f50f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5309bea4ac2c2e99dc928f89902ca772db8a76c5e1f67d320ad22ce355745e6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-21T11:31:22Z",
    "title_canon_sha256": "f44d4fa7c60676629a9bbca4bcba6d961f49819726177a28c183615a700d8eae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5721",
    "kind": "arxiv",
    "version": 1
  }
}