Pith Number

pith:7YKENGYA

pith:2017:7YKENGYACRP7O4OSCCVITTGYGL

not attested not anchored not stored refs pending

New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality

Arnaud Guillin (LMBP), Dario Cordero-Erausquin, Fran\c{c}ois Bolley (LPMA), Ivan Gentil (ICJ), Yasuhiro Fujita

arxiv:1702.03090 v1 · 2017-02-10 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YKENGYACRP7O4OSCCVITTGYGL}

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	2026-05-18T00:50:58.686605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe14469b00145ff771d210aa89ccd832ffa36155b0e4653d25ea8cdf92135cb2

Aliases

arxiv: 1702.03090 · arxiv_version: 1702.03090v1 · doi: 10.48550/arxiv.1702.03090 · pith_short_12: 7YKENGYACRP7 · pith_short_16: 7YKENGYACRP7O4OS · pith_short_8: 7YKENGYA

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/7YKENGYACRP7O4OSCCVITTGYGL \
  | 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: fe14469b00145ff771d210aa89ccd832ffa36155b0e4653d25ea8cdf92135cb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "131fef3ff76817fada9d2f7126fcf8407a9a5c091ac005292167c32c0402b84e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-10T08:10:09Z",
    "title_canon_sha256": "02e073c6f2b48679ffcc899f928027c3ac931374bdc7876140c5ca4f1a727a74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03090",
    "kind": "arxiv",
    "version": 1
  }
}