Pith Number

pith:WN6B2OX3

pith:2011:WN6B2OX3XJJWSW5GT2UA2JW7A4

not attested not anchored not stored refs pending

Equivalent moduli of continuity, Bloch's theorem for pluriharmonic mappings in $\mathbb{B}^{n}$

SH. Chen, S. Ponnusamy, X. Wang

arxiv:1112.0685 v1 · 2011-12-03 · 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{WN6B2OX3XJJWSW5GT2UA2JW7A4}

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	2026-05-18T04:07:05.958322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b37c1d3afbba53695ba69ea80d26df0717b212814b6719fa47bc23db458dd76d

Aliases

arxiv: 1112.0685 · arxiv_version: 1112.0685v1 · doi: 10.48550/arxiv.1112.0685 · pith_short_12: WN6B2OX3XJJW · pith_short_16: WN6B2OX3XJJWSW5G · pith_short_8: WN6B2OX3

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/WN6B2OX3XJJWSW5GT2UA2JW7A4 \
  | 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: b37c1d3afbba53695ba69ea80d26df0717b212814b6719fa47bc23db458dd76d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22ac54e724a57f25cebcfd64bfd97d7adc863a65c184cbe517eb6899009345ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-12-03T19:37:49Z",
    "title_canon_sha256": "66e54c497d55aa07cc4e92e44ecce7ae8c8c116d496dbbebfd309b63de5e9bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0685",
    "kind": "arxiv",
    "version": 1
  }
}