Pith Number

pith:HNBAWQFB

pith:2015:HNBAWQFBOZJS4DGRSVQBRFMNHN

not attested not anchored not stored refs pending

Schwarz lemma for harmonic mappings in the unit ball

David Kalaj

arxiv:1506.06410 v1 · 2015-06-21 · 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{HNBAWQFBOZJS4DGRSVQBRFMNHN}

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	2026-05-18T01:41:45.289138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b420b40a176532e0cd1956018958d3b665f0ddb0ffac75bbfb186f927b5742a

Aliases

arxiv: 1506.06410 · arxiv_version: 1506.06410v1 · doi: 10.48550/arxiv.1506.06410 · pith_short_12: HNBAWQFBOZJS · pith_short_16: HNBAWQFBOZJS4DGR · pith_short_8: HNBAWQFB

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/HNBAWQFBOZJS4DGRSVQBRFMNHN \
  | 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: 3b420b40a176532e0cd1956018958d3b665f0ddb0ffac75bbfb186f927b5742a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82bd7eaa0158f58f081c9674c0ae450ec2ffcfc333f8379c39839ed5662dc017",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-21T20:17:25Z",
    "title_canon_sha256": "e32b28a9b6bf292af0c8d04185147f625c552983c66273dc03840afac25de4e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06410",
    "kind": "arxiv",
    "version": 1
  }
}