Pith Number

pith:2HWDMUR3

pith:2019:2HWDMUR3YAGMIDO34QOOFT6MMW

not attested not anchored not stored refs pending

Sharp threshold nonlinearity for maximizing the Trudinger-Moser inequalities

Federica Sani, Kenji Nakanishi, Nader Masmoudi, Slim Ibrahim

arxiv:1902.00958 v1 · 2019-02-03 · 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{2HWDMUR3YAGMIDO34QOOFT6MMW}

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	2026-05-17T23:54:51.744869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1ec36523bc00cc40ddbe41ce2cfcc65a7736f786c69d5d117fa6a3def52cd0c

Aliases

arxiv: 1902.00958 · arxiv_version: 1902.00958v1 · doi: 10.48550/arxiv.1902.00958 · pith_short_12: 2HWDMUR3YAGM · pith_short_16: 2HWDMUR3YAGMIDO3 · pith_short_8: 2HWDMUR3

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/2HWDMUR3YAGMIDO34QOOFT6MMW \
  | 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: d1ec36523bc00cc40ddbe41ce2cfcc65a7736f786c69d5d117fa6a3def52cd0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddbcc561e6e0a53dfd40bef6cb924559a464913d82bc3c8c5790e53d4619cc60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-03T19:19:35Z",
    "title_canon_sha256": "a5d6100c2271bef2eb43dd8387c2a874b8ddbdc773062b3937c49f05c6f126fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00958",
    "kind": "arxiv",
    "version": 1
  }
}