Pith Number

pith:WHQYUSOS

pith:2017:WHQYUSOSFX5GW3SDFVIGF6RAT5

not attested not anchored not stored refs pending

A sharp Trudinger-Moser type inequality involving $L^{n}$ norm in the entire space $\mathbb{R}^{n}$

Guozhen Lu, Maochun Zhu

arxiv:1703.00901 v1 · 2017-03-02 · 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{WHQYUSOSFX5GW3SDFVIGF6RAT5}

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	2026-05-18T00:49:40.525392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e18a49d22dfa6b6e432d5062fa209f7ea046106fd23e518a7991191098a8c7

Aliases

arxiv: 1703.00901 · arxiv_version: 1703.00901v1 · doi: 10.48550/arxiv.1703.00901 · pith_short_12: WHQYUSOSFX5G · pith_short_16: WHQYUSOSFX5GW3SD · pith_short_8: WHQYUSOS

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/WHQYUSOSFX5GW3SDFVIGF6RAT5 \
  | 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: b1e18a49d22dfa6b6e432d5062fa209f7ea046106fd23e518a7991191098a8c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f700f0d5f1180b0ede57fb2ee4a2fdaf91a1b63527e01378807354255f8534b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-02T18:59:02Z",
    "title_canon_sha256": "3fd9e6d27b7b5b840184d841390e8d0060627949ec02486c18d2a5dc92556c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00901",
    "kind": "arxiv",
    "version": 1
  }
}