Pith Number

pith:3SOMF6UP

pith:2026:3SOMF6UP5HWF4MJSH27OAIY3F3

not attested not anchored not stored refs pending

Normalized groundstates for mixed $(p,2)$-Laplacian equations in $\mathbb R^2$ with exponential critical growth

Chao Zhong, Jiankang Xia

arxiv:2605.19946 v1 · 2026-05-19 · 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{3SOMF6UP5HWF4MJSH27OAIY3F3}

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	2026-05-20T02:05:56.480779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc9cc2fa8fe9ec5e31323ebee0231b2ecac71c861e3264b5418008b8f429dd58

Aliases

arxiv: 2605.19946 · arxiv_version: 2605.19946v1 · doi: 10.48550/arxiv.2605.19946 · pith_short_12: 3SOMF6UP5HWF · pith_short_16: 3SOMF6UP5HWF4MJS · pith_short_8: 3SOMF6UP

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/3SOMF6UP5HWF4MJSH27OAIY3F3 \
  | 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: dc9cc2fa8fe9ec5e31323ebee0231b2ecac71c861e3264b5418008b8f429dd58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d02446807027606803e0fb275a0024ea055032c4f15fcad3c163d386e9c4dea",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-19T15:02:54Z",
    "title_canon_sha256": "a0958d6935b03281155c21bb690ffab96601481c951f67af86917adc73aa1eda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19946",
    "kind": "arxiv",
    "version": 1
  }
}