Pith Number

pith:JYMFSHQM

pith:2017:JYMFSHQMMNABODCLTH4NL632VA

not attested not anchored not stored refs pending

On a double-variable inequality and elliptic systems involving critical Hardy-Sobolev exponents

Wenming Zou, Xuexiu Zhong

arxiv:1711.10477 v1 · 2017-11-27 · 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{JYMFSHQMMNABODCLTH4NL632VA}

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	2026-05-18T00:29:21.757250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e18591e0c6340170c4b99f8d5fb7aa8021a8d4ab642ad7b549c2907a41df7ca

Aliases

arxiv: 1711.10477 · arxiv_version: 1711.10477v1 · doi: 10.48550/arxiv.1711.10477 · pith_short_12: JYMFSHQMMNAB · pith_short_16: JYMFSHQMMNABODCL · pith_short_8: JYMFSHQM

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/JYMFSHQMMNABODCLTH4NL632VA \
  | 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: 4e18591e0c6340170c4b99f8d5fb7aa8021a8d4ab642ad7b549c2907a41df7ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c4bd1a0e3e0084451d1c32adf0cf9b144fbfb96af7ac1607bb7a742af42fb34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-27T19:31:58Z",
    "title_canon_sha256": "f19974683d17daf7d9bf391a7d5d3103ace6c2352b21b42fc780553fe4322fa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10477",
    "kind": "arxiv",
    "version": 1
  }
}