Pith Number

pith:7XUO5V4D

pith:2015:7XUO5V4DNXVVI2XME3JPFXDTVJ

not attested not anchored not stored refs pending

On convergence of partial derivatives of multivariate Bernstein polynomials

Alexander Veretennikov, Evguenia Veretennikova

arxiv:1507.05235 v2 · 2015-07-18 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XUO5V4DNXVVI2XME3JPFXDTVJ}

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	2026-05-18T01:02:13.865532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fde8eed7836deb546aec26d2f2dc73aa400a8ce8663068370d7ae136a60815a2

Aliases

arxiv: 1507.05235 · arxiv_version: 1507.05235v2 · doi: 10.48550/arxiv.1507.05235 · pith_short_12: 7XUO5V4DNXVV · pith_short_16: 7XUO5V4DNXVVI2XM · pith_short_8: 7XUO5V4D

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/7XUO5V4DNXVVI2XME3JPFXDTVJ \
  | 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: fde8eed7836deb546aec26d2f2dc73aa400a8ce8663068370d7ae136a60815a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa0e7dc7ec6296d3973612e658f65b6cf1f2a9b3325b71dc77af201e84428f0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-18T23:35:17Z",
    "title_canon_sha256": "cd8cd4b06adfc210542657b699dbc7e7545ec1f29b3251b1187dda22e768df1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05235",
    "kind": "arxiv",
    "version": 2
  }
}