Pith Number

pith:7OPANHX2

pith:2020:7OPANHX2ZVA6BA6CDVAD234T5X

not attested not anchored not stored refs pending

Schwarz lemma for hyperbolic harmonic mappings in the unit ball

David Kalaj, Jiaolong Chen

arxiv:2004.06211 v1 · 2020-04-13 · math.CV · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OPANHX2ZVA6BA6CDVAD234T5X}

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	2026-07-05T00:54:50.041670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb9e069efacd41e083c21d403d6f93edfef3bb81629a6fdf4b7beaf1838757de

Aliases

arxiv: 2004.06211 · arxiv_version: 2004.06211v1 · doi: 10.48550/arxiv.2004.06211 · pith_short_12: 7OPANHX2ZVA6 · pith_short_16: 7OPANHX2ZVA6BA6C · pith_short_8: 7OPANHX2

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/7OPANHX2ZVA6BA6CDVAD234T5X \
  | 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: fb9e069efacd41e083c21d403d6f93edfef3bb81629a6fdf4b7beaf1838757de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f40b732f39ea42f49a6c86e6fad4717a6f4907d73afc771da3ec31839b21c827",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2020-04-13T21:23:53Z",
    "title_canon_sha256": "cd841dd3d86688a0aa81ff6573d4f7aa3875cf0f6b3bcbaa7bfba5e07ebf44c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.06211",
    "kind": "arxiv",
    "version": 1
  }
}