Pith Number

pith:KSWI6ZPP

pith:2013:KSWI6ZPPDHIJLULM2O5E5HNEDD

not attested not anchored not stored refs pending

Sufficient Conditions for Starlike Functions Associated with the Lemniscate of Bernoulli

Nak Eun Cho, S. Sivaprasad Kumar, Virendra Kumar, V. Ravichandran

arxiv:1303.0137 v1 · 2013-03-01 · 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{KSWI6ZPPDHIJLULM2O5E5HNEDD}

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	2026-05-18T03:32:06.710093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54ac8f65ef19d095d16cd3ba4e9da418c937da1ef3dd10e71432cf1c3e891c8c

Aliases

arxiv: 1303.0137 · arxiv_version: 1303.0137v1 · doi: 10.48550/arxiv.1303.0137 · pith_short_12: KSWI6ZPPDHIJ · pith_short_16: KSWI6ZPPDHIJLULM · pith_short_8: KSWI6ZPP

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/KSWI6ZPPDHIJLULM2O5E5HNEDD \
  | 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: 54ac8f65ef19d095d16cd3ba4e9da418c937da1ef3dd10e71432cf1c3e891c8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "665f4eaf1ec37c2c5fb3535d5d01d336ac3a7cb3ecf09a935c169d340780bb5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-03-01T10:33:02Z",
    "title_canon_sha256": "a35c845e4f75446ff1dbc9de4a3c1a00c4c5ddfe62d34264ce2cf5682c8dddae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0137",
    "kind": "arxiv",
    "version": 1
  }
}