Pith Number

pith:5QKN6H4P

pith:2018:5QKN6H4POQRHMGF4KSTOHP3PJZ

not attested not anchored not stored refs pending

Liouville type theorems, a priori estimates and existence of solutions for non-critical higher order Lane-Emden-Hardy equations

Guolin Qin, Shaolong Peng, Wei Dai

arxiv:1808.10771 v4 · 2018-08-30 · 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{5QKN6H4POQRHMGF4KSTOHP3PJZ}

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	2026-05-18T00:04:20.045077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec14df1f8f74227618bc54a6e3bf6f4e59a40b16c9610fe2db28a1c8a3be61d6

Aliases

arxiv: 1808.10771 · arxiv_version: 1808.10771v4 · doi: 10.48550/arxiv.1808.10771 · pith_short_12: 5QKN6H4POQRH · pith_short_16: 5QKN6H4POQRHMGF4 · pith_short_8: 5QKN6H4P

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/5QKN6H4POQRHMGF4KSTOHP3PJZ \
  | 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: ec14df1f8f74227618bc54a6e3bf6f4e59a40b16c9610fe2db28a1c8a3be61d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd35128d55bb50ed9a5402e1d33294e4583dea8f8dce70de18de03f525b91859",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-30T13:51:19Z",
    "title_canon_sha256": "432ae5f5a4017e6104a0fd2f416b3caf4bab561c97f6847237a13f7fe9f64051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10771",
    "kind": "arxiv",
    "version": 4
  }
}