Pith Number

pith:MMWMYIJU

pith:2013:MMWMYIJULPB3SOGCYAXFL7UWRC

not attested not anchored not stored refs pending

Linear combinations of univalent harmonic mappings convex in the direction of the imaginary axis

Raj Kumar, Sukhjit Singh, Sushma Gupta

arxiv:1306.1727 v2 · 2013-06-07 · 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{MMWMYIJULPB3SOGCYAXFL7UWRC}

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	2026-05-18T03:20:08.850503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632ccc21345bc3b938c2c02e55fe9688af05248ba0bb977f8065f4a9101146d5

Aliases

arxiv: 1306.1727 · arxiv_version: 1306.1727v2 · doi: 10.48550/arxiv.1306.1727 · pith_short_12: MMWMYIJULPB3 · pith_short_16: MMWMYIJULPB3SOGC · pith_short_8: MMWMYIJU

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/MMWMYIJULPB3SOGCYAXFL7UWRC \
  | 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: 632ccc21345bc3b938c2c02e55fe9688af05248ba0bb977f8065f4a9101146d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86430ee7bd76c912b4dc1e0abf9cffaaebb26cdce78fe7a258fef7ebbb79d885",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-06-07T13:50:57Z",
    "title_canon_sha256": "4513b4cd12987f25b621764c41a0e143f4e82cb2fb7799f22ca54872414b7014"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1727",
    "kind": "arxiv",
    "version": 2
  }
}