Pith Number

pith:4YCURNFQ

pith:2011:4YCURNFQQVSHNTAOAV5Y45UUPX

not attested not anchored not stored refs pending

Coefficient Conditions for Harmonic Univalent Mappings and Hypergeometric Mappings

S.Ponnusamy, S. V. Bharanedhar

arxiv:1109.0925 v2 · 2011-09-05 · 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{4YCURNFQQVSHNTAOAV5Y45UUPX}

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	2026-05-18T03:54:26.102924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e60548b4b0856476cc0e057b8e76947dfb2ae049bbe9f5ef4be822e320c27b40

Aliases

arxiv: 1109.0925 · arxiv_version: 1109.0925v2 · doi: 10.48550/arxiv.1109.0925 · pith_short_12: 4YCURNFQQVSH · pith_short_16: 4YCURNFQQVSHNTAO · pith_short_8: 4YCURNFQ

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/4YCURNFQQVSHNTAOAV5Y45UUPX \
  | 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: e60548b4b0856476cc0e057b8e76947dfb2ae049bbe9f5ef4be822e320c27b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "853fbdcd643dbb37c26464ee2e710f1d057449c6951ca06add938fd27b9a5451",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-09-05T15:07:28Z",
    "title_canon_sha256": "94bef18229532fd33ada2c006e9ca3fe8dc379fe363ec56a88334a5c12931a4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0925",
    "kind": "arxiv",
    "version": 2
  }
}