Pith Number

pith:G244CPEF

pith:2012:G244CPEF2QMEOZ244XHAOC56K3

not attested not anchored not stored refs pending

Starlikeness, convexity and close-to-convexity of harmonic mappings

Sumit Nagpal, V. Ravichandran

arxiv:1207.3404 v2 · 2012-07-14 · 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{G244CPEF2QMEOZ244XHAOC56K3}

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	2026-05-18T03:07:41.339735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36b9c13c85d41847675ce5ce070bbe56e1dde0724252a09c72c4d575d0e48e2b

Aliases

arxiv: 1207.3404 · arxiv_version: 1207.3404v2 · doi: 10.48550/arxiv.1207.3404 · pith_short_12: G244CPEF2QME · pith_short_16: G244CPEF2QMEOZ24 · pith_short_8: G244CPEF

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/G244CPEF2QMEOZ244XHAOC56K3 \
  | 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: 36b9c13c85d41847675ce5ce070bbe56e1dde0724252a09c72c4d575d0e48e2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "530f75d4720ca43039d6d0e29b0078584ca1b54e644d982a6435f94058d0c271",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-07-14T07:43:50Z",
    "title_canon_sha256": "66390df494a36c06edce1da7df984a557dbf5b24b20dcd8f96710c70ff2e4774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3404",
    "kind": "arxiv",
    "version": 2
  }
}