Pith Number

pith:PKHFSI3P

pith:2013:PKHFSI3PLLMHCBFDW67OCJBFJD

not attested not anchored not stored refs pending

Starlikeness and convexity for analytic functions concerned with Jack's lemma

Hitoshi Shiraishi, Shigeyoshi Owa

arxiv:1303.0501 v1 · 2013-03-03 · 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{PKHFSI3PLLMHCBFDW67OCJBFJD}

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	2026-05-18T03:31:55.751275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a8e59236f5ad87104a3b7bee1242548f9f8d7c0757fd47009ff2ff408b82b53

Aliases

arxiv: 1303.0501 · arxiv_version: 1303.0501v1 · doi: 10.48550/arxiv.1303.0501 · pith_short_12: PKHFSI3PLLMH · pith_short_16: PKHFSI3PLLMHCBFD · pith_short_8: PKHFSI3P

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/PKHFSI3PLLMHCBFDW67OCJBFJD \
  | 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: 7a8e59236f5ad87104a3b7bee1242548f9f8d7c0757fd47009ff2ff408b82b53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85f701b9765a63170f318701a2bbe2401e2845cbc01bfe0d78ec77e7e0115e9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-03-03T14:19:35Z",
    "title_canon_sha256": "08f55d49f8cd7a33ee02b8e5563475bc38c14ec4120a9c83d9e016734c73a010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0501",
    "kind": "arxiv",
    "version": 1
  }
}