Pith Number

pith:SIJ4KEVW

pith:2007:SIJ4KEVWS2MVENW6LUY3OVHNF3

not attested not anchored not stored refs pending

Compact differences of composition operators from Bloch space to bounded holomorphic function space in the Polydisc

Ze-Hua Zhou, Zhong-Shan Fang

arxiv:0709.1420 v1 · 2007-09-10 · math.FA · 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{SIJ4KEVWS2MVENW6LUY3OVHNF3}

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	2026-05-18T03:03:55.625605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9213c512b696995236de5d31b754ed2eea180a836d3a2d7f66b5d23fd3bcd374

Aliases

arxiv: 0709.1420 · arxiv_version: 0709.1420v1 · doi: 10.48550/arxiv.0709.1420 · pith_short_12: SIJ4KEVWS2MV · pith_short_16: SIJ4KEVWS2MVENW6 · pith_short_8: SIJ4KEVW

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/SIJ4KEVWS2MVENW6LUY3OVHNF3 \
  | 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: 9213c512b696995236de5d31b754ed2eea180a836d3a2d7f66b5d23fd3bcd374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61149aedcaa3c864c89b65fc7fa88cc9c7192e585fc3fd5ad86c9f7e67b8d969",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-09-10T15:58:30Z",
    "title_canon_sha256": "55783eacd10d8dd2853ea4a0237289a5d7e8d22c41ab7f3bfc65d5368fc02047"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.1420",
    "kind": "arxiv",
    "version": 1
  }
}