Pith Number

pith:ZISAHUNX

pith:2017:ZISAHUNX7W7257N3Q67LGLNFIB

not attested not anchored not stored refs pending

Some examples of composition operators and their approximation numbers on the Hardy space of the bi-disk

Daniel Li (LML), Herv\'e Queff\'elec (LPP), Luis Rodr\'iguez-Piazza

arxiv:1706.03570 v2 · 2017-06-12 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZISAHUNX7W7257N3Q67LGLNFIB}

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	2026-05-18T00:22:10.929016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca2403d1b7fdbfaefdbb87beb32da540492eec9b87c40848a8a1f184623b89a0

Aliases

arxiv: 1706.03570 · arxiv_version: 1706.03570v2 · doi: 10.48550/arxiv.1706.03570 · pith_short_12: ZISAHUNX7W72 · pith_short_16: ZISAHUNX7W7257N3 · pith_short_8: ZISAHUNX

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/ZISAHUNX7W7257N3Q67LGLNFIB \
  | 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: ca2403d1b7fdbfaefdbb87beb32da540492eec9b87c40848a8a1f184623b89a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03f2e2ea628447b41b0c9f794179d77f819d58dad4533eaa2593e2f58ce20c87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-12T11:26:32Z",
    "title_canon_sha256": "59211998af1a9e689b3b4404111d84f5445ae4cd07ad311908f24f48827fe23f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03570",
    "kind": "arxiv",
    "version": 2
  }
}