Pith Number

pith:BIE5X6AS

pith:2017:BIE5X6ASLEYNIDOMS7ZCF4PDB7

not attested not anchored not stored refs pending

Bohr radius for locally univalent harmonic mappings

Ilgiz R Kayumov, Nail Shakirov, Saminathan Ponnusamy

arxiv:1709.04629 v1 · 2017-09-14 · 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{BIE5X6ASLEYNIDOMS7ZCF4PDB7}

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	2026-05-18T00:35:11.078634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a09dbf8125930d40dcc97f222f1e30ff507fbf0f59be5de93f771fc4f5a9cfd

Aliases

arxiv: 1709.04629 · arxiv_version: 1709.04629v1 · doi: 10.48550/arxiv.1709.04629 · pith_short_12: BIE5X6ASLEYN · pith_short_16: BIE5X6ASLEYNIDOM · pith_short_8: BIE5X6AS

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/BIE5X6ASLEYNIDOMS7ZCF4PDB7 \
  | 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: 0a09dbf8125930d40dcc97f222f1e30ff507fbf0f59be5de93f771fc4f5a9cfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7aafa2197fedabfc061b9850cdbac09d86d601a152754e1dd74f6eb8ae5707c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-09-14T06:31:33Z",
    "title_canon_sha256": "e3a8dc9704c7e547608fd0f55b1205e83bc13419d978161554e70851c1172f60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04629",
    "kind": "arxiv",
    "version": 1
  }
}