Pith Number

pith:S4WIFWKD

pith:2012:S4WIFWKD62YTN2BXTDRXHQWVSW

not attested not anchored not stored refs pending

Norm inequalities in generalized Morrey spaces

Justin Feuto

arxiv:1205.6516 v3 · 2012-05-29 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4WIFWKD62YTN2BXTDRXHQWVSW}

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	2026-05-18T02:51:57.274933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

972c82d943f6b136e83798e373c2d595b512d64fbe0bad04f509a87773c7297a

Aliases

arxiv: 1205.6516 · arxiv_version: 1205.6516v3 · doi: 10.48550/arxiv.1205.6516 · pith_short_12: S4WIFWKD62YT · pith_short_16: S4WIFWKD62YTN2BX · pith_short_8: S4WIFWKD

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/S4WIFWKD62YTN2BXTDRXHQWVSW \
  | 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: 972c82d943f6b136e83798e373c2d595b512d64fbe0bad04f509a87773c7297a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70dc9a46248053447dada4fc889045b191a60962c5ea3b9c771c06edb03aba38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-29T23:10:49Z",
    "title_canon_sha256": "ffc618c96d8d450161b56fd255222a07e1b9836615c6551d6b98082634e3a644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6516",
    "kind": "arxiv",
    "version": 3
  }
}