Pith Number

pith:363G6XR7

pith:2017:363G6XR73VJCFN4YHVUUNBUNDG

not attested not anchored not stored refs pending

Improved Moser--Trudinger inequality for functions with mean value zero in $\mathbb R^n$ and its extremal functions

Van Hoang Nguyen

arxiv:1708.03028 v1 · 2017-08-09 · math.FA · 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{363G6XR73VJCFN4YHVUUNBUNDG}

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	2026-05-18T00:38:15.167930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfb66f5e3fdd5222b7983d6946868d19b960ce99750daf11c7dc76a2d389ecee

Aliases

arxiv: 1708.03028 · arxiv_version: 1708.03028v1 · doi: 10.48550/arxiv.1708.03028 · pith_short_12: 363G6XR73VJC · pith_short_16: 363G6XR73VJCFN4Y · pith_short_8: 363G6XR7

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/363G6XR73VJCFN4YHVUUNBUNDG \
  | 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: dfb66f5e3fdd5222b7983d6946868d19b960ce99750daf11c7dc76a2d389ecee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6d5eca46a0ab02ed09891549a56dac17168ae09b4565ced21d1c7fe097ae690",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-09T22:37:40Z",
    "title_canon_sha256": "069a802b79ddff74f3e4d7fb4fe0ddbd4ad82b6c94dd424e50874245d2bbc15c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03028",
    "kind": "arxiv",
    "version": 1
  }
}