Pith Number

pith:OCIQ4VCE

pith:2017:OCIQ4VCEUQ44L7CR3XXDAFOO3Y

not attested not anchored not stored refs pending

A sharp Adams inequality in dimension four and its extremal functions

Van Hoang Nguyen

arxiv:1701.08249 v1 · 2017-01-28 · 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{OCIQ4VCEUQ44L7CR3XXDAFOO3Y}

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	2026-05-18T00:51:54.778270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70910e5444a439c5fc51ddee3015cede20a1483fd5e491ebf4b90088e51404b1

Aliases

arxiv: 1701.08249 · arxiv_version: 1701.08249v1 · doi: 10.48550/arxiv.1701.08249 · pith_short_12: OCIQ4VCEUQ44 · pith_short_16: OCIQ4VCEUQ44L7CR · pith_short_8: OCIQ4VCE

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/OCIQ4VCEUQ44L7CR3XXDAFOO3Y \
  | 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: 70910e5444a439c5fc51ddee3015cede20a1483fd5e491ebf4b90088e51404b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65e381cfb61a66f267028fa7f635de6fc7df00634d898f3353535a2796bd8884",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-01-28T04:55:09Z",
    "title_canon_sha256": "946074c644a6b51b46c3bd8e14fa63b109709157aeeb463b02c3088616c6c7c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08249",
    "kind": "arxiv",
    "version": 1
  }
}