Pith Number

pith:CRXW2MFI

pith:2014:CRXW2MFIJCPRH3OM4ZH4UFTYH2

not attested not anchored not stored refs pending

A boundary Schwarz Lemma for holomorphic mappings between unit balls of different dimensions

Yang Liu, Yifei Pan, Zhihua Chen

arxiv:1411.0600 v3 · 2014-11-03 · 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{CRXW2MFIJCPRH3OM4ZH4UFTYH2}

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	2026-05-18T02:21:26.462705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

146f6d30a8489f13edcce64fca16783eb331995d573d83d5a00609584414bfbb

Aliases

arxiv: 1411.0600 · arxiv_version: 1411.0600v3 · doi: 10.48550/arxiv.1411.0600 · pith_short_12: CRXW2MFIJCPR · pith_short_16: CRXW2MFIJCPRH3OM · pith_short_8: CRXW2MFI

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/CRXW2MFIJCPRH3OM4ZH4UFTYH2 \
  | 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: 146f6d30a8489f13edcce64fca16783eb331995d573d83d5a00609584414bfbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fbe7654f975ad557d71a822cd8f0f238d1db1f3fc1059d7acbf98bb86b56a1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-11-03T18:45:48Z",
    "title_canon_sha256": "fc9143a41a2aaa5cc78bb411691b32b5d0d14b20e9ca4dcd5be3d3dd78b72d21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0600",
    "kind": "arxiv",
    "version": 3
  }
}