Pith Number

pith:NHLT5JQB

pith:2011:NHLT5JQBB2MPJ2RPPCBDUXLL4G

not attested not anchored not stored refs pending

Compact intertwining relations for composition operators on $H^\infty$ and the Bloch spaces

Ce-Zhong Tong, Cheng Yuan, Ze-Hua Zhou

arxiv:1101.0338 v5 · 2011-01-01 · 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{NHLT5JQBB2MPJ2RPPCBDUXLL4G}

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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	2026-05-18T00:05:46.588394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69d73ea6010e98f4ea2f78823a5d6be1bb8fa64a216d96e796cb84d5d424dbf3

Aliases

arxiv: 1101.0338 · arxiv_version: 1101.0338v5 · doi: 10.48550/arxiv.1101.0338 · pith_short_12: NHLT5JQBB2MP · pith_short_16: NHLT5JQBB2MPJ2RP · pith_short_8: NHLT5JQB

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/NHLT5JQBB2MPJ2RPPCBDUXLL4G \
  | 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: 69d73ea6010e98f4ea2f78823a5d6be1bb8fa64a216d96e796cb84d5d424dbf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a57ec35d245e6f86ab9039a96bea352a97f0ef136eed0a7b08057058bcb302b9",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-01T13:41:18Z",
    "title_canon_sha256": "59fe42f6194baa8da99f562628316706ef6b5fdeff2a865cbb2eff8478628689"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0338",
    "kind": "arxiv",
    "version": 5
  }
}