Pith Number

pith:DIQVW4GM

pith:2011:DIQVW4GMOI6CWU6A4G34F6S64C

not attested not anchored not stored refs pending

Radius of Close-to-convexity of Harmonic Functions

David Kalaj, Matti Vuorinen, Saminathan Ponnusamy

arxiv:1107.0610 v1 · 2011-07-04 · 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{DIQVW4GMOI6CWU6A4G34F6S64C}

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	2026-05-18T04:18:53.695848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a215b70cc723c2b53c0e1b7c2fa5ee0a22d500b1132d3908b27812eb6b25b26

Aliases

arxiv: 1107.0610 · arxiv_version: 1107.0610v1 · doi: 10.48550/arxiv.1107.0610 · pith_short_12: DIQVW4GMOI6C · pith_short_16: DIQVW4GMOI6CWU6A · pith_short_8: DIQVW4GM

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/DIQVW4GMOI6CWU6A4G34F6S64C \
  | 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: 1a215b70cc723c2b53c0e1b7c2fa5ee0a22d500b1132d3908b27812eb6b25b26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "809cf288aa0d789a0e546350c30dfd0d068d98fc0b87c703b2501c76181a166d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-07-04T12:38:02Z",
    "title_canon_sha256": "00002e684d0c41388d994d61b526668130374d447a5ff173bbdeb747e72c61bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0610",
    "kind": "arxiv",
    "version": 1
  }
}