Pith Number

pith:M7VNNYZ5

pith:2013:M7VNNYZ5WZY4ABTIF6MO7HXKET

not attested not anchored not stored refs pending

The Radial Lemma of Strauss in the Context of Morrey Spaces

Dachun Yang, Wen Yuan, Winfried Sickel

arxiv:1303.4851 v2 · 2013-03-20 · 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{M7VNNYZ5WZY4ABTIF6MO7HXKET}

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	2026-05-18T03:00:49.642778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ead6e33db671c006682f98ef9eea24f8570e07f4681891ee56ac099d91422d

Aliases

arxiv: 1303.4851 · arxiv_version: 1303.4851v2 · doi: 10.48550/arxiv.1303.4851 · pith_short_12: M7VNNYZ5WZY4 · pith_short_16: M7VNNYZ5WZY4ABTI · pith_short_8: M7VNNYZ5

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/M7VNNYZ5WZY4ABTIF6MO7HXKET \
  | 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: 67ead6e33db671c006682f98ef9eea24f8570e07f4681891ee56ac099d91422d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d0180d143e71e954e400087be219e7472e23619fc06a2407e21f6e8f0ee3532",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-20T07:13:51Z",
    "title_canon_sha256": "6bd86789295f16676e40e961dbba8bb276d3e6489cc0b4d5dee1f53f1b1facbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4851",
    "kind": "arxiv",
    "version": 2
  }
}