Pith Number

pith:S2HYZEHS

pith:2018:S2HYZEHSPNWEOSEHZRHFRC5WME

not attested not anchored not stored refs pending

Morrey meets Muckenhoupt: A note on Nakai's generalized Morrey spaces and applications

Qingyan Wu, Shanzhen Lu, Xian Ming Hou, Zunwei Fu

arxiv:1802.03743 v2 · 2018-02-11 · 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{S2HYZEHSPNWEOSEHZRHFRC5WME}

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	2026-05-18T00:05:45.871628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

968f8c90f27b6c474887cc4e588bb6612fc09caeddc1937db45fe4a1dfafe959

Aliases

arxiv: 1802.03743 · arxiv_version: 1802.03743v2 · doi: 10.48550/arxiv.1802.03743 · pith_short_12: S2HYZEHSPNWE · pith_short_16: S2HYZEHSPNWEOSEH · pith_short_8: S2HYZEHS

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/S2HYZEHSPNWEOSEHZRHFRC5WME \
  | 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: 968f8c90f27b6c474887cc4e588bb6612fc09caeddc1937db45fe4a1dfafe959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90fface1f22a7a47fbdd4c4e88a956e512de52953839c5a89816e62dc9621460",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-11T14:38:29Z",
    "title_canon_sha256": "ad445d788ac085950bb60dca06200a21e01218c91bbf16ccfa10e82d9af6fe5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03743",
    "kind": "arxiv",
    "version": 2
  }
}