Pith Number

pith:S5K2NXRA

pith:2016:S5K2NXRAHLN4ZX55WAGY3DEX6K

not attested not anchored not stored refs pending

On critical exponents of a $k$-Hessian equation in the whole space

Yun Wang, Yutian Lei

arxiv:1602.06031 v1 · 2016-02-19 · 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{S5K2NXRAHLN4ZX55WAGY3DEX6K}

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	2026-05-18T01:20:21.779153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9755a6de203adbccdfbdb00d8d8c97f293a9b884426201cb58ca38bbfd009d80

Aliases

arxiv: 1602.06031 · arxiv_version: 1602.06031v1 · doi: 10.48550/arxiv.1602.06031 · pith_short_12: S5K2NXRAHLN4 · pith_short_16: S5K2NXRAHLN4ZX55 · pith_short_8: S5K2NXRA

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/S5K2NXRAHLN4ZX55WAGY3DEX6K \
  | 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: 9755a6de203adbccdfbdb00d8d8c97f293a9b884426201cb58ca38bbfd009d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5600b774b46332c5bb545829c271f434b4ff0ee171e41194ec7eb73e21ee6c80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-19T02:55:31Z",
    "title_canon_sha256": "e8bf87925cf260ef514157e558885f23848e113130784e7ef4c6b30d80f79d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06031",
    "kind": "arxiv",
    "version": 1
  }
}