Pith Number

pith:LD6IUSJ4

pith:2018:LD6IUSJ4KXBRAMQCLLGTNHV2NJ

not attested not anchored not stored refs pending

Sharp Gagliardo--Nirenberg trace inequalities via mass transportion method and their affine versions

Van Hoang Nguyen

arxiv:1805.12535 v1 · 2018-05-31 · 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{LD6IUSJ4KXBRAMQCLLGTNHV2NJ}

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	2026-05-18T00:14:29.980121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58fc8a493c55c31032025acd369eba6a684ee054ef02b3c04beadfffeae23183

Aliases

arxiv: 1805.12535 · arxiv_version: 1805.12535v1 · doi: 10.48550/arxiv.1805.12535 · pith_short_12: LD6IUSJ4KXBR · pith_short_16: LD6IUSJ4KXBRAMQC · pith_short_8: LD6IUSJ4

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/LD6IUSJ4KXBRAMQCLLGTNHV2NJ \
  | 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: 58fc8a493c55c31032025acd369eba6a684ee054ef02b3c04beadfffeae23183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d11492f12d4477369111df899e2488bc935cb6f4226c384ab236f2707c862139",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-31T16:14:01Z",
    "title_canon_sha256": "061c1e01d1bcd67748776a280192fc9bf945a8b3d5f6a22a32cf11ebbdae66c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.12535",
    "kind": "arxiv",
    "version": 1
  }
}