Pith Number

pith:UZVEJEKB

pith:2012:UZVEJEKBEMDJB6W5AACS7A6MAA

not attested not anchored not stored refs pending

Coefficient estimates, Landau's theorem and Lipschitz-type spaces on planar harmonic mappings

Antti Rasila, Saminathan Ponnusamy, Shaolin Chen

arxiv:1209.5162 v2 · 2012-09-24 · 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{UZVEJEKBEMDJB6W5AACS7A6MAA}

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	2026-05-18T02:49:39.118959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a66a449141230690fadd00052f83cc00281092ee4607aea878fffed12b229933

Aliases

arxiv: 1209.5162 · arxiv_version: 1209.5162v2 · doi: 10.48550/arxiv.1209.5162 · pith_short_12: UZVEJEKBEMDJ · pith_short_16: UZVEJEKBEMDJB6W5 · pith_short_8: UZVEJEKB

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/UZVEJEKBEMDJB6W5AACS7A6MAA \
  | 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: a66a449141230690fadd00052f83cc00281092ee4607aea878fffed12b229933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c0f5e4aa8497658373e3360a5b138e5890487ad7a8d93188c6d61df39f15cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-09-24T06:46:54Z",
    "title_canon_sha256": "71d0d6d21e0e32a8ee7fd7057bea16b902209cc9b06dabe778a05478849670bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5162",
    "kind": "arxiv",
    "version": 2
  }
}