Pith Number

pith:3LJNJCYS

pith:2013:3LJNJCYSFDRWT2GLOZYXI6DFIZ

not attested not anchored not stored refs pending

Composition operators on generalized Hardy spaces

Elodie Pozzi, Emmanuel Russ (IF), Juliette Leblond (INRIA Sophia Antipolis), Sam Elliott

arxiv:1310.4268 v1 · 2013-10-16 · 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{3LJNJCYSFDRWT2GLOZYXI6DFIZ}

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	2026-05-18T03:10:23.373007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dad2d48b1228e369e8cb7671747865467797021484f1593f56137d645a87f280

Aliases

arxiv: 1310.4268 · arxiv_version: 1310.4268v1 · doi: 10.48550/arxiv.1310.4268 · pith_short_12: 3LJNJCYSFDRW · pith_short_16: 3LJNJCYSFDRWT2GL · pith_short_8: 3LJNJCYS

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/3LJNJCYSFDRWT2GLOZYXI6DFIZ \
  | 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: dad2d48b1228e369e8cb7671747865467797021484f1593f56137d645a87f280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5605e965d8ad6166aafcabe8e8aca5dfde34ffe29cd08a4dd0568a90c6513423",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-16T04:31:53Z",
    "title_canon_sha256": "74d48e708b8e1be668de1b8c9a73204121c1f0b65c992e6392ae54d41fbdf53c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4268",
    "kind": "arxiv",
    "version": 1
  }
}