Pith Number

pith:AGX2AYC3

pith:2019:AGX2AYC3CYL3JM3SBNBR6NVNLL

not attested not anchored not stored refs pending

The sharp exponent in the study of the nonlocal H\'enon equation in $\mathbb{R}^{n}$. A Liouville theorem and an existence result

A. Quaas, B. Barrios

arxiv:1901.08031 v3 · 2019-01-23 · 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{AGX2AYC3CYL3JM3SBNBR6NVNLL}

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	2026-05-17T23:46:03.618748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01afa0605b1617b4b3720b431f36ad5aee94a722b7065eb6fd7311bad081b169

Aliases

arxiv: 1901.08031 · arxiv_version: 1901.08031v3 · doi: 10.48550/arxiv.1901.08031 · pith_short_12: AGX2AYC3CYL3 · pith_short_16: AGX2AYC3CYL3JM3S · pith_short_8: AGX2AYC3

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/AGX2AYC3CYL3JM3SBNBR6NVNLL \
  | 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: 01afa0605b1617b4b3720b431f36ad5aee94a722b7065eb6fd7311bad081b169

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56de33b59cb1222ca37fd0bf6ac179070546e8c0df2c19d286847140a2fcb8f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-23T18:07:33Z",
    "title_canon_sha256": "d1f29707527ec1875d7d0902d754b459e696ce255b0f04e9ebf978493ba78e9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08031",
    "kind": "arxiv",
    "version": 3
  }
}