Pith Number

pith:LOYX4BAG

pith:2013:LOYX4BAGKYVDU44TVBFIHW47AH

not attested not anchored not stored refs pending

Approximation numbers of composition operators on the $H^2$ space of Dirichlet series

Herv\'e Queff\'elec, Kristian Seip

arxiv:1302.4117 v2 · 2013-02-17 · 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{LOYX4BAGKYVDU44TVBFIHW47AH}

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	2026-05-18T02:26:45.677217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bb17e0406562a3a7393a84a83db9f01cd1620021e2d3345681545a6fdefd5fa

Aliases

arxiv: 1302.4117 · arxiv_version: 1302.4117v2 · doi: 10.48550/arxiv.1302.4117 · pith_short_12: LOYX4BAGKYVD · pith_short_16: LOYX4BAGKYVDU44T · pith_short_8: LOYX4BAG

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/LOYX4BAGKYVDU44TVBFIHW47AH \
  | 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: 5bb17e0406562a3a7393a84a83db9f01cd1620021e2d3345681545a6fdefd5fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a672b10922669f9dfe6a71cb7e344152d7478033af626970ae9af1df882a7c7",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-17T20:33:59Z",
    "title_canon_sha256": "912d3e56ac7de255092ef85fdddd0313bc80a1c0b95ec899cc222ac47329ea2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4117",
    "kind": "arxiv",
    "version": 2
  }
}