Pith Number

pith:GJEFZYOJ

pith:2025:GJEFZYOJAIE53BVLD3HMB26LXS

not attested not anchored not stored refs pending

Ground state solutions of a class of (2,q)-Laplacian Schr\"odinger equations with inhomogeneous nonlinearity

Tingjian Luo, Ying Huang, Youde Wang

arxiv:2505.20758 v2 · 2025-05-27 · 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{GJEFZYOJAIE53BVLD3HMB26LXS}

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	2026-07-05T11:13:27.112596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32485ce1c90209dd86ab1ecec0ebcbbcbd5d6e9735e4caf26c7e0120f7da523d

Aliases

arxiv: 2505.20758 · arxiv_version: 2505.20758v2 · doi: 10.48550/arxiv.2505.20758 · pith_short_12: GJEFZYOJAIE5 · pith_short_16: GJEFZYOJAIE53BVL · pith_short_8: GJEFZYOJ

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/GJEFZYOJAIE53BVLD3HMB26LXS \
  | 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: 32485ce1c90209dd86ab1ecec0ebcbbcbd5d6e9735e4caf26c7e0120f7da523d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b55e30e378552f69ce9ecba2d8283a3a72a4f1244b2e161a8a712b09ed5baa4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-27T06:01:50Z",
    "title_canon_sha256": "c8b8d09a2e480eb13ce50626211522def55947261f4c4f10edfe7553160dae30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.20758",
    "kind": "arxiv",
    "version": 2
  }
}