Pith Number

pith:BULR4LIH

pith:2015:BULR4LIHXYLTFPKW2JUE5LWM2G

not attested not anchored not stored refs pending

A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian

Alexander Quaas, Aliang Xia

arxiv:1511.02346 v1 · 2015-11-07 · 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{BULR4LIHXYLTFPKW2JUE5LWM2G}

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	2026-05-18T01:10:52.101886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d171e2d07be1732bd56d2684eaeccd18381961471288cb70a195557fb9dcc20

Aliases

arxiv: 1511.02346 · arxiv_version: 1511.02346v1 · doi: 10.48550/arxiv.1511.02346 · pith_short_12: BULR4LIHXYLT · pith_short_16: BULR4LIHXYLTFPKW · pith_short_8: BULR4LIH

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/BULR4LIHXYLTFPKW2JUE5LWM2G \
  | 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: 0d171e2d07be1732bd56d2684eaeccd18381961471288cb70a195557fb9dcc20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1588c220ab16b24c7e90f8791c41045c9fde87fde47b4f34c4146fce4dcf8c21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-07T12:01:42Z",
    "title_canon_sha256": "706ef81565e0ca1e7f4dcd008007b8432ddfd3a5f7d824cfbf23c241219153fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02346",
    "kind": "arxiv",
    "version": 1
  }
}