Pith Number

pith:KLKHPADX

pith:2018:KLKHPADXGDOAO5DZS3M5VONURL

not attested not anchored not stored refs pending

Gagliardo-Nirenberg-Sobolev inequalities for convex domains in $\mathbb{R}^d$

Cristobal Vallejos, Hanne Van Den Bosch, Rafael D. Benguria

arxiv:1802.01740 v2 · 2018-02-06 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLKHPADXGDOAO5DZS3M5VONURL}

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	2026-05-18T00:23:44.739586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d477807730dc07747996d9dab9b48ae1fe5f5083af18c71978b44a83fa6c57

Aliases

arxiv: 1802.01740 · arxiv_version: 1802.01740v2 · doi: 10.48550/arxiv.1802.01740 · pith_short_12: KLKHPADXGDOA · pith_short_16: KLKHPADXGDOAO5DZ · pith_short_8: KLKHPADX

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/KLKHPADXGDOAO5DZS3M5VONURL \
  | 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: 52d477807730dc07747996d9dab9b48ae1fe5f5083af18c71978b44a83fa6c57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0ecae141a5032d701cea27f5d5ebbdb4909843b279d6ef19ecf844e064d3cfb",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-02-06T00:26:04Z",
    "title_canon_sha256": "fc928ed4ae9c11d3da9655f125f7ca538fb0fc7092307988c344cda2269f4b5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01740",
    "kind": "arxiv",
    "version": 2
  }
}