Pith Number

pith:L4BZT24A

pith:2015:L4BZT24AJ373VRI6NB3Y3TQ2EF

not attested not anchored not stored refs pending

A note on radial solutions of $\Delta^2 u + u^{-q} = 0$ in $\mathbb R^3$ with exactly quadratic growth at infinity

Qu\^oc-Anh Ng\^o, Trinh Viet Duoc

arxiv:1511.09171 v2 · 2015-11-30 · 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{L4BZT24AJ373VRI6NB3Y3TQ2EF}

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	2026-05-18T00:06:51.658416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f0399eb804effbac51e68778dce1a217790938b8bc673bf55ee08fada87f45f

Aliases

arxiv: 1511.09171 · arxiv_version: 1511.09171v2 · doi: 10.48550/arxiv.1511.09171 · pith_short_12: L4BZT24AJ373 · pith_short_16: L4BZT24AJ373VRI6 · pith_short_8: L4BZT24A

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/L4BZT24AJ373VRI6NB3Y3TQ2EF \
  | 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: 5f0399eb804effbac51e68778dce1a217790938b8bc673bf55ee08fada87f45f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "789f82b29f57eee62d56215d23f96506627f857f4f40904a9b701d0802ad5cbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-30T06:08:57Z",
    "title_canon_sha256": "9f9024bafb8f44bb396ee543047e77f0ff765e98bc12b4cd278b4ca3fdb69c3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09171",
    "kind": "arxiv",
    "version": 2
  }
}