Pith Number

pith:BJYZ5OOU

pith:2015:BJYZ5OOUH7ICLCTZW2UVEJ3OHV

not attested not anchored not stored refs pending

Approximation numbers of composition operators on the Hardy space of the ball and of the polydisk

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

arxiv:1505.07935 v1 · 2015-05-29 · 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{BJYZ5OOUH7ICLCTZW2UVEJ3OHV}

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	2026-05-18T02:00:00.261414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a719eb9d43fd0258a79b6a952276e3d570ed388ffed95e45d495f93948d59fc

Aliases

arxiv: 1505.07935 · arxiv_version: 1505.07935v1 · doi: 10.48550/arxiv.1505.07935 · pith_short_12: BJYZ5OOUH7IC · pith_short_16: BJYZ5OOUH7ICLCTZ · pith_short_8: BJYZ5OOU

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/BJYZ5OOUH7ICLCTZW2UVEJ3OHV \
  | 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: 0a719eb9d43fd0258a79b6a952276e3d570ed388ffed95e45d495f93948d59fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0613031f862535ac115e6a9f3ffb844882df2899a698d63e37a56ba7ab6e4192",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-29T06:38:35Z",
    "title_canon_sha256": "36c88b05d30ff632a65a5ddb04e17e55416cb9b20277f621e2962a787e38ae3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07935",
    "kind": "arxiv",
    "version": 1
  }
}