Pith Number

pith:SEF4DBAG

pith:2012:SEF4DBAGSPIBQQUB7JAU6WFC62

not attested not anchored not stored refs pending

Estimates for approximation numbers of some classes of composition operators on the Hardy space

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

arxiv:1206.1179 v1 · 2012-06-06 · 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{SEF4DBAGSPIBQQUB7JAU6WFC62}

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	2026-05-18T03:54:06.734438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

910bc1840693d0184281fa414f58a2f6a07008264970bed5df1debc5bb4f7999

Aliases

arxiv: 1206.1179 · arxiv_version: 1206.1179v1 · doi: 10.48550/arxiv.1206.1179 · pith_short_12: SEF4DBAGSPIB · pith_short_16: SEF4DBAGSPIBQQUB · pith_short_8: SEF4DBAG

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/SEF4DBAGSPIBQQUB7JAU6WFC62 \
  | 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: 910bc1840693d0184281fa414f58a2f6a07008264970bed5df1debc5bb4f7999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a55bec022396d563cd7b2b2cfef24b39c17684f855d040cb885f19d66b3f1241",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-06T10:58:59Z",
    "title_canon_sha256": "e5b1ed3cac69bbff7c7926fee2acda714f0e912a4c60cbada628f6efa2fd4c50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1179",
    "kind": "arxiv",
    "version": 1
  }
}