Pith Number

pith:TR5M6SZ3

pith:2011:TR5M6SZ32B5KHZUG6Y4PRSNOPX

not attested not anchored not stored refs pending

Radii of Starlikeness Associated with the Lemniscate of Bernoulli and the Left-Half Plane

Naveen Jain, Rosihan M. Ali, V. Ravichandran

arxiv:1108.5418 v1 · 2011-08-27 · 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{TR5M6SZ32B5KHZUG6Y4PRSNOPX}

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	2026-05-18T04:05:05.171087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c7acf4b3bd07aa3e686f638f8c9ae7dd9cdea215c8e959529bc49aa3c7b52b1

Aliases

arxiv: 1108.5418 · arxiv_version: 1108.5418v1 · doi: 10.48550/arxiv.1108.5418 · pith_short_12: TR5M6SZ32B5K · pith_short_16: TR5M6SZ32B5KHZUG · pith_short_8: TR5M6SZ3

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/TR5M6SZ32B5KHZUG6Y4PRSNOPX \
  | 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: 9c7acf4b3bd07aa3e686f638f8c9ae7dd9cdea215c8e959529bc49aa3c7b52b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "428357a12ae5dbd17db9b032cad7f9c68942a0481335c60ed6e4787372b4ee6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-08-27T05:02:31Z",
    "title_canon_sha256": "21fe2da81ff8358978e6c0e14db60b21288da8203ae1472b8e285c9e4a5ed3a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5418",
    "kind": "arxiv",
    "version": 1
  }
}