Pith Number

pith:CTESBYAK

pith:2019:CTESBYAK5UUKBQ5IZKJCBSD7M3

not attested not anchored not stored refs pending

Uniform and pointwise shape preserving approximation (SPA) by algebraic polynomials: an update

D. Leviatan, I. A. Shevchuk, K. A. Kopotun

arxiv:1901.03911 v1 · 2019-01-12 · 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{CTESBYAK5UUKBQ5IZKJCBSD7M3}

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	2026-05-17T23:56:26.751811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14c920e00aed28a0c3a8ca9220c87f66d4d14f3c91c150561d48f0688c561399

Aliases

arxiv: 1901.03911 · arxiv_version: 1901.03911v1 · doi: 10.48550/arxiv.1901.03911 · pith_short_12: CTESBYAK5UUK · pith_short_16: CTESBYAK5UUKBQ5I · pith_short_8: CTESBYAK

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/CTESBYAK5UUKBQ5IZKJCBSD7M3 \
  | 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: 14c920e00aed28a0c3a8ca9220c87f66d4d14f3c91c150561d48f0688c561399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67cb08ceb0d385de72667dbbc3c8743bff7a68902cf331ec6a399f6e78cf85ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-12T22:19:32Z",
    "title_canon_sha256": "fd413479b6a2af6f085a0b10a35938b12acf039be147e82fe3895251b834a608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03911",
    "kind": "arxiv",
    "version": 1
  }
}