Pith Number

pith:4ZGASAVX

pith:2019:4ZGASAVXDGYUGSV7C7JNW7J7XG

not attested not anchored not stored refs pending

On the Koebe Quarter Theorem for Polynomials

Alex Stokolos, Andrey Smorodin, Dmitriy Dmitrishin, Jimmy Dillies

arxiv:1904.11039 v1 · 2019-04-24 · math.CV · 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{4ZGASAVXDGYUGSV7C7JNW7J7XG}

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	2026-05-17T23:47:45.984808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e64c0902b719b1434abf17d2db7d3fb99be721dfa27a36758f216bf23c660423

Aliases

arxiv: 1904.11039 · arxiv_version: 1904.11039v1 · doi: 10.48550/arxiv.1904.11039 · pith_short_12: 4ZGASAVXDGYU · pith_short_16: 4ZGASAVXDGYUGSV7 · pith_short_8: 4ZGASAVX

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/4ZGASAVXDGYUGSV7C7JNW7J7XG \
  | 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: e64c0902b719b1434abf17d2db7d3fb99be721dfa27a36758f216bf23c660423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dd1301e4b15222ca5b1b90d9f975645e2387282a2868113409ae5755cccc2dd",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-04-24T19:48:36Z",
    "title_canon_sha256": "cc2b852460771ea032e95a9bb65efd1dad7d2ff9a29c091f9d37ae0c4bf9b7fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11039",
    "kind": "arxiv",
    "version": 1
  }
}