Pith Number

pith:PRW4JEUB

pith:2019:PRW4JEUB6ERXPKLJ2ADM266IY7

not attested not anchored not stored refs pending

Compactification, and beyond, of composition operators on Hardy spaces by weights

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

arxiv:1904.06992 v1 · 2019-04-15 · 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{PRW4JEUB6ERXPKLJ2ADM266IY7}

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	2026-05-17T23:48:35.544493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c6dc49281f12377a969d006cd7bc8c7d7972350076a0a75d92550b277237863

Aliases

arxiv: 1904.06992 · arxiv_version: 1904.06992v1 · doi: 10.48550/arxiv.1904.06992 · pith_short_12: PRW4JEUB6ERX · pith_short_16: PRW4JEUB6ERXPKLJ · pith_short_8: PRW4JEUB

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/PRW4JEUB6ERXPKLJ2ADM266IY7 \
  | 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: 7c6dc49281f12377a969d006cd7bc8c7d7972350076a0a75d92550b277237863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac19aa494474fc3478c4ad6386e03640e006ed7c23f3de83111d6b760662d068",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-04-15T12:23:06Z",
    "title_canon_sha256": "1bf7baf61b06b0ca1d091c23cc1e75f91496dfe1ada3000e2ef5864431acc170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06992",
    "kind": "arxiv",
    "version": 1
  }
}