Pith Number

pith:QL54L2CP

pith:2014:QL54L2CPBXP2PVFKFK5PBK4FYI

not attested not anchored not stored refs pending

Two remarks on composition operators on the Dirichlet space

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

arxiv:1404.6035 v2 · 2014-04-24 · 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{QL54L2CPBXP2PVFKFK5PBK4FYI}

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	2026-05-18T02:48:00.588267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82fbc5e84f0ddfa7d4aa2abaf0ab85c225b2099ca9ba17583a6b1b66f5080513

Aliases

arxiv: 1404.6035 · arxiv_version: 1404.6035v2 · doi: 10.48550/arxiv.1404.6035 · pith_short_12: QL54L2CPBXP2 · pith_short_16: QL54L2CPBXP2PVFK · pith_short_8: QL54L2CP

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/QL54L2CPBXP2PVFKFK5PBK4FYI \
  | 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: 82fbc5e84f0ddfa7d4aa2abaf0ab85c225b2099ca9ba17583a6b1b66f5080513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f303d6c45941d9ea7bb28e85cc4ad9e4e7c93a6584e888dc4eae0a0f5e829748",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-24T06:17:27Z",
    "title_canon_sha256": "4a16532c9194fee10cfc28d9acaf8c045c87dfc286983baadcdbcb3b8b31cfdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6035",
    "kind": "arxiv",
    "version": 2
  }
}