Pith Number

pith:ILM5NUC5

pith:2013:ILM5NUC5U6YVN3VQYRRSRVNENU

not attested not anchored not stored refs pending

Stable solutions and finite Morse index solutions of nonlinear elliptic equations with Hardy potential

Wonjeong Jeong, Youngae Lee

arxiv:1303.5149 v2 · 2013-03-21 · 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{ILM5NUC5U6YVN3VQYRRSRVNENU}

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	2026-05-18T03:25:58.317436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d9d6d05da7b156eeb0c46328d5a46d20cf5d78cffb08213a289556e00c2adb

Aliases

arxiv: 1303.5149 · arxiv_version: 1303.5149v2 · doi: 10.48550/arxiv.1303.5149 · pith_short_12: ILM5NUC5U6YV · pith_short_16: ILM5NUC5U6YVN3VQ · pith_short_8: ILM5NUC5

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/ILM5NUC5U6YVN3VQYRRSRVNENU \
  | 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: 42d9d6d05da7b156eeb0c46328d5a46d20cf5d78cffb08213a289556e00c2adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "239d13dade47dd619467d2ac1e0e185cd29aff6b5f30a4e644c83a6c6f9f372e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-21T03:06:45Z",
    "title_canon_sha256": "cef9a8a835ca02f97e3f0ea6cfa71136625055a7534e9ae31e79092d8402f130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5149",
    "kind": "arxiv",
    "version": 2
  }
}