Pith Number

pith:DHKUVZ63

pith:2012:DHKUVZ63TLVJZXZJZ442N563NV

not attested not anchored not stored refs pending

Liouville-type theorems for fully nonlinear elliptic equation in half spaces

Guozhen Lu, Jiuyi Zhu

arxiv:1209.1144 v2 · 2012-09-05 · 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{DHKUVZ63TLVJZXZJZ442N563NV}

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	2026-05-18T03:45:54.862092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19d54ae7db9aea9cdf29cf39a6f7db6d5535e068aef46d23c059864c0b11ec74

Aliases

arxiv: 1209.1144 · arxiv_version: 1209.1144v2 · doi: 10.48550/arxiv.1209.1144 · pith_short_12: DHKUVZ63TLVJ · pith_short_16: DHKUVZ63TLVJZXZJ · pith_short_8: DHKUVZ63

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/DHKUVZ63TLVJZXZJZ442N563NV \
  | 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: 19d54ae7db9aea9cdf29cf39a6f7db6d5535e068aef46d23c059864c0b11ec74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ffd29d8264513773bcd932d1890128828959ba5147dd43c8a0d552960ff45cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-05T23:27:28Z",
    "title_canon_sha256": "d19d10a2ce3f1df95c5e6de11265697359ffe55eefb618be9d63a4ff001d9b20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1144",
    "kind": "arxiv",
    "version": 2
  }
}