Pith Number

pith:4XADLAKF

pith:2018:4XADLAKFPMVGE6533S5T3SUYHA

not attested not anchored not stored refs pending

Simultaneous zero-free approximation and universal optimal polynomial approximants

Catherine B\'en\'eteau, Daniel Seco, Myrto Manolaki, Oleg Ivrii

arxiv:1811.04308 v2 · 2018-11-10 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XADLAKFPMVGE6533S5T3SUYHA}

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	2026-05-17T23:45:52.590162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5c03581457b2a627bbbdcbb3dca98383b704926e763841c0f9bdd91a5b6cad0

Aliases

arxiv: 1811.04308 · arxiv_version: 1811.04308v2 · doi: 10.48550/arxiv.1811.04308 · pith_short_12: 4XADLAKFPMVG · pith_short_16: 4XADLAKFPMVGE653 · pith_short_8: 4XADLAKF

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/4XADLAKFPMVGE6533S5T3SUYHA \
  | 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: e5c03581457b2a627bbbdcbb3dca98383b704926e763841c0f9bdd91a5b6cad0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa629115374be7441313864c995a26bd4c05f15a42f081801610d2e6ef0fc79e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-11-10T20:25:32Z",
    "title_canon_sha256": "412476c33d190ed5bdeb4b0418bd52ccfa830de1d2d1499895ad0b28a1e39436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04308",
    "kind": "arxiv",
    "version": 2
  }
}