Pith Number

pith:AWH4X6IB

pith:2013:AWH4X6IBRHFFCRC4SXFR46M7ES

not attested not anchored not stored refs pending

A Schwarz lemma for harmonic mappings between the unit balls in real Euclidean spaces

Shaoyu Dai, Yifei Pan

arxiv:1304.2441 v1 · 2013-04-09 · 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{AWH4X6IBRHFFCRC4SXFR46M7ES}

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	2026-05-18T03:28:32.027594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

058fcbf90189ca51445c95cb1e799f24b9307811b0c19ced70859be2dd01f1d5

Aliases

arxiv: 1304.2441 · arxiv_version: 1304.2441v1 · doi: 10.48550/arxiv.1304.2441 · pith_short_12: AWH4X6IBRHFF · pith_short_16: AWH4X6IBRHFFCRC4 · pith_short_8: AWH4X6IB

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/AWH4X6IBRHFFCRC4SXFR46M7ES \
  | 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: 058fcbf90189ca51445c95cb1e799f24b9307811b0c19ced70859be2dd01f1d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c3340c4bdaf2cf4ea583111ce9fa62232a65bdcf9b944495425f735c65e7c80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-04-09T01:06:23Z",
    "title_canon_sha256": "f073d833c53304e8e65bbd943e8e076253443b52945d121d4389e2d2b27edee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2441",
    "kind": "arxiv",
    "version": 1
  }
}