Pith Number

pith:2HBFIQS5

pith:2017:2HBFIQS5QV4AXIKMBKLXJ2XGQU

not attested not anchored not stored refs pending

Improved Moser-Trudinger type inequalities in the hyperbolic space $\mathbb H^n$

Van Hoang Nguyen

arxiv:1709.09608 v2 · 2017-09-27 · 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{2HBFIQS5QV4AXIKMBKLXJ2XGQU}

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	2026-05-18T00:29:28.507761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1c254425d85780ba14c0a9774eae68513a667e51d5e972639c03a3d19d4c7fb

Aliases

arxiv: 1709.09608 · arxiv_version: 1709.09608v2 · doi: 10.48550/arxiv.1709.09608 · pith_short_12: 2HBFIQS5QV4A · pith_short_16: 2HBFIQS5QV4AXIKM · pith_short_8: 2HBFIQS5

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/2HBFIQS5QV4AXIKMBKLXJ2XGQU \
  | 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: d1c254425d85780ba14c0a9774eae68513a667e51d5e972639c03a3d19d4c7fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b248b6f854f031ae88267e0d7ef9843f1e77a9c7044b9a9676796dd33bb31ceb",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-27T16:31:04Z",
    "title_canon_sha256": "b6663ecfafeb2e12bdc8d7125ba8af6209de8cbaf312aa2d88b7a04d30605198"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09608",
    "kind": "arxiv",
    "version": 2
  }
}