Pith Number

pith:E2TPD3JD

pith:2016:E2TPD3JDHA74K62GYJXP2DSPRN

not attested not anchored not stored refs pending

Sharp Adams-Moser-Trudinger type inequalities in the hyperbolic space

Qu\^oc-Anh Ng\^o, Van Hoang Nguyen

arxiv:1606.07094 v2 · 2016-06-22 · math.AP · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2TPD3JDHA74K62GYJXP2DSPRN}

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	2026-05-18T00:02:39.981406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26a6f1ed23383fc57b46c26efd0e4f8b527d1bd8e7de25033324da18e1b860c5

Aliases

arxiv: 1606.07094 · arxiv_version: 1606.07094v2 · doi: 10.48550/arxiv.1606.07094 · pith_short_12: E2TPD3JDHA74 · pith_short_16: E2TPD3JDHA74K62G · pith_short_8: E2TPD3JD

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/E2TPD3JDHA74K62GYJXP2DSPRN \
  | 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: 26a6f1ed23383fc57b46c26efd0e4f8b527d1bd8e7de25033324da18e1b860c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d90fd4af17f9689860ed6c4b75ea8972688918691960eeb05d216894e7ef4b2",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-22T20:34:32Z",
    "title_canon_sha256": "022f5840fb22ca510850cc29357f70645caa51f64b22e05e20478143e33d005f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07094",
    "kind": "arxiv",
    "version": 2
  }
}