Pith Number

pith:5DNQ2YEL

pith:2013:5DNQ2YELUPWP6UX5NRAR27DXGV

not attested not anchored not stored refs pending

Integral operators, embedding theorems and a Littlewood-Paley formula on weighted Fock spaces

Jos\'e \'Angel Pel\'aez, Olivia Constantin

arxiv:1304.7501 v2 · 2013-04-28 · 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{5DNQ2YELUPWP6UX5NRAR27DXGV}

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	2026-05-18T03:04:15.404416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8db0d608ba3ecff52fd6c411d7c77356eaf8250981df17d31203d7a404515e8

Aliases

arxiv: 1304.7501 · arxiv_version: 1304.7501v2 · doi: 10.48550/arxiv.1304.7501 · pith_short_12: 5DNQ2YELUPWP · pith_short_16: 5DNQ2YELUPWP6UX5 · pith_short_8: 5DNQ2YEL

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/5DNQ2YELUPWP6UX5NRAR27DXGV \
  | 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: e8db0d608ba3ecff52fd6c411d7c77356eaf8250981df17d31203d7a404515e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91e9e2e3ba720e6aefa96d66829a6063ebb75afe937cf518ea0c699ee7e5aedb",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-04-28T19:14:43Z",
    "title_canon_sha256": "b44d3aa84a67e71a0147aec9f218a913c27a35c43b644bcacc1fba6a7c40564f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7501",
    "kind": "arxiv",
    "version": 2
  }
}