Pith Number

pith:UUVZTM74

pith:2019:UUVZTM74MNCXG7CQUTTFAETXL2

not attested not anchored not stored refs pending

A general coefficient theorem for univalent functions

Samuel L. Krushkal

arxiv:1908.05183 v1 · 2019-08-14 · 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{UUVZTM74MNCXG7CQUTTFAETXL2}

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	2026-07-04T23:56:37.074164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a52b99b3fc6345737c50a4e65012775eaeeb21e88b22098865e83c9a4a653047

Aliases

arxiv: 1908.05183 · arxiv_version: 1908.05183v1 · doi: 10.48550/arxiv.1908.05183 · pith_short_12: UUVZTM74MNCX · pith_short_16: UUVZTM74MNCXG7CQ · pith_short_8: UUVZTM74

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/UUVZTM74MNCXG7CQUTTFAETXL2 \
  | 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: a52b99b3fc6345737c50a4e65012775eaeeb21e88b22098865e83c9a4a653047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2ba425d2f1cd695ee489e483c00247c388599054649348e5fde974e1cab6c4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-08-14T15:57:16Z",
    "title_canon_sha256": "535aef855436c371c05d6c7d04adfd0a4d2cb367722f23ad7165828bf86572da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05183",
    "kind": "arxiv",
    "version": 1
  }
}