Pith Number

pith:TX3KZYBV

pith:2014:TX3KZYBV7PHXLCLIUVOAG2FGS4

not attested not anchored not stored refs pending

Convolution properties of univalent harmonic mappings convex in one direction

Raj Kumar, Sukhjit Singh, Sushma Gupta

arxiv:1401.0259 v1 · 2014-01-01 · 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{TX3KZYBV7PHXLCLIUVOAG2FGS4}

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	2026-05-18T03:03:23.643138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df6ace035fbcf758968a55c0368a697203962359299bdc0243e469859a07e95

Aliases

arxiv: 1401.0259 · arxiv_version: 1401.0259v1 · doi: 10.48550/arxiv.1401.0259 · pith_short_12: TX3KZYBV7PHX · pith_short_16: TX3KZYBV7PHXLCLI · pith_short_8: TX3KZYBV

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/TX3KZYBV7PHXLCLIUVOAG2FGS4 \
  | 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: 9df6ace035fbcf758968a55c0368a697203962359299bdc0243e469859a07e95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02fed6701005eb6e898566ccabb70528b0644565a4096c12254132e2fe5cb885",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-01-01T07:00:48Z",
    "title_canon_sha256": "2de4890a0e678554ec4f46e03b1e762b9a5471d968f6b94abf084e7f127fb7d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0259",
    "kind": "arxiv",
    "version": 1
  }
}