Pith Number

pith:IV5QWKTY

pith:2013:IV5QWKTY6WED6PKCYKJQKSP7X6

not attested not anchored not stored refs pending

A Schwarz-Pick lemma for the modulus of holomorphic mappings between the unit balls in complex spaces

Shaoyu Dai, Yifei Pan

arxiv:1307.7797 v1 · 2013-07-30 · 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{IV5QWKTY6WED6PKCYKJQKSP7X6}

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	2026-05-18T03:17:13.539988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

457b0b2a78f5883f3d42c2930549ffbfa8fdf86b692c548a3db8e11ed38b08d3

Aliases

arxiv: 1307.7797 · arxiv_version: 1307.7797v1 · doi: 10.48550/arxiv.1307.7797 · pith_short_12: IV5QWKTY6WED · pith_short_16: IV5QWKTY6WED6PKC · pith_short_8: IV5QWKTY

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/IV5QWKTY6WED6PKCYKJQKSP7X6 \
  | 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: 457b0b2a78f5883f3d42c2930549ffbfa8fdf86b692c548a3db8e11ed38b08d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ad1fd388580979d7871138de99d26d0755f414e83b31ee75b6fbd53a76786b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-07-30T03:34:00Z",
    "title_canon_sha256": "67acdd4fdcf84901177c16eaafbc94a551a2e03d1dbff01d73c54700255d8224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7797",
    "kind": "arxiv",
    "version": 1
  }
}