Pith Number

pith:IX5XDHB3

pith:2011:IX5XDHB3ZKQCL3CUSFYSDF45P2

not attested not anchored not stored refs pending

New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators

Luong Dang Ky (MAPMO)

arxiv:1103.3757 v3 · 2011-03-19 · math.CA · 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{IX5XDHB3ZKQCL3CUSFYSDF45P2}

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	2026-05-18T03:07:32.231895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45fb719c3bcaa025ec54917121979d7e9036b73ccf091d59bd1e3b8d2220f803

Aliases

arxiv: 1103.3757 · arxiv_version: 1103.3757v3 · doi: 10.48550/arxiv.1103.3757 · pith_short_12: IX5XDHB3ZKQC · pith_short_16: IX5XDHB3ZKQCL3CU · pith_short_8: IX5XDHB3

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/IX5XDHB3ZKQCL3CUSFYSDF45P2 \
  | 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: 45fb719c3bcaa025ec54917121979d7e9036b73ccf091d59bd1e3b8d2220f803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "626a3158ee1fc77c2e155e8db30074480d461c0b796380fc4060582c7b049f68",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-03-19T06:25:21Z",
    "title_canon_sha256": "57929c718290159ec2815890a31fbe878fdb9f4a8dd2841b4e49e76e9c5a342b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3757",
    "kind": "arxiv",
    "version": 3
  }
}