Pith Number

pith:HRYOTILY

pith:2018:HRYOTILYEVKRD5AVTPBO7JRYU3

not attested not anchored not stored refs pending

Liouville type theorems, a priori estimates and existence of solutions for critical order Hardy-H\'{e}non equations in $\mathbb{R}^{n}$

Guolin Qin, Wei Dai, Wenxiong Chen

arxiv:1808.06609 v4 · 2018-08-20 · 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{HRYOTILYEVKRD5AVTPBO7JRYU3}

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	2026-05-17T23:46:19.487965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c70e9a178255511f4159bc2efa638a6dec8399ea31a8772f0863af82b3dba09

Aliases

arxiv: 1808.06609 · arxiv_version: 1808.06609v4 · doi: 10.48550/arxiv.1808.06609 · pith_short_12: HRYOTILYEVKR · pith_short_16: HRYOTILYEVKRD5AV · pith_short_8: HRYOTILY

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/HRYOTILYEVKRD5AVTPBO7JRYU3 \
  | 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: 3c70e9a178255511f4159bc2efa638a6dec8399ea31a8772f0863af82b3dba09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3245e1833b6683ebdd2c372bd8792fa550c117123cde7e33e0a0a8aaa42f527",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-20T12:48:53Z",
    "title_canon_sha256": "7fa13a44d141556ace7604a75fd66bd3e46df332ff8b0312b81de8150c79925f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06609",
    "kind": "arxiv",
    "version": 4
  }
}