Pith Number

pith:DE2O4MQL

pith:2013:DE2O4MQLEDJYKJKMZQLZDZ6WJS

not attested not anchored not stored refs pending

Generalised Gagliardo-Nirenberg inequalities using weak Lebesgue spaces and BMO

David S. McCormick, James C. Robinson, Jose L. Rodrigo

arxiv:1303.6351 v1 · 2013-03-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DE2O4MQLEDJYKJKMZQLZDZ6WJS}

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	2026-05-18T03:29:49.673743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1934ee320b20d385254ccc1791e7d64cbb41fb31f1988257addf6ba7db90908f

Aliases

arxiv: 1303.6351 · arxiv_version: 1303.6351v1 · doi: 10.48550/arxiv.1303.6351 · pith_short_12: DE2O4MQLEDJY · pith_short_16: DE2O4MQLEDJYKJKM · pith_short_8: DE2O4MQL

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/DE2O4MQLEDJYKJKMZQLZDZ6WJS \
  | 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: 1934ee320b20d385254ccc1791e7d64cbb41fb31f1988257addf6ba7db90908f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "738c2e2feeb43f91fb51937e015e431ab6e5b957a33a98dca198312a5542eb80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-26T00:07:22Z",
    "title_canon_sha256": "0208d29cc188de5c2cbe94b90201243e13d4687313ea89b753c9addad64e752a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6351",
    "kind": "arxiv",
    "version": 1
  }
}