Pith Number

pith:H53N34EE

pith:2011:H53N34EEN3S253VCFZWDVN5AK3

not attested not anchored not stored refs pending

Singularity of the extremal solution for supercritical biharmonic equations with power-type nonlinearity

Baishun Lai, Yinghui Zhang, Zhengxiang Yan

arxiv:1101.3903 v2 · 2011-01-20 · 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{H53N34EEN3S253VCFZWDVN5AK3}

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	2026-05-18T04:17:13.512434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f76ddf0846ee5aeeea22e6c3ab7a056d040c73a04932cfea415d5bbe20b87d9

Aliases

arxiv: 1101.3903 · arxiv_version: 1101.3903v2 · doi: 10.48550/arxiv.1101.3903 · pith_short_12: H53N34EEN3S2 · pith_short_16: H53N34EEN3S253VC · pith_short_8: H53N34EE

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/H53N34EEN3S253VCFZWDVN5AK3 \
  | 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: 3f76ddf0846ee5aeeea22e6c3ab7a056d040c73a04932cfea415d5bbe20b87d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dddb2ab4e4558818d6fbf10ee7ee8071bc3b1e7b6227dd618c264bace376861",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-20T13:47:59Z",
    "title_canon_sha256": "1df991400b5d012da771f66e31c7cce9692150ddb2136e739175758167ae07ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3903",
    "kind": "arxiv",
    "version": 2
  }
}