Pith Number

pith:67IOI33B

pith:2016:67IOI33BOWPPKIQJKCWO4M6NAL

not attested not anchored not stored refs pending

Classification of entire solutions of $(-\Delta)^N u + u^{-(4N-1)}= 0$ with exact linear growth at infinity in $\mathbf R^{2N-1}$

Qu\^oc-Anh Ng\^o

arxiv:1611.01882 v2 · 2016-11-07 · 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{67IOI33BOWPPKIQJKCWO4M6NAL}

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	2026-05-18T00:06:51.478396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7d0e46f61759ef5220950acee33cd02f4031708ff7359c33a4b94d629480d6a

Aliases

arxiv: 1611.01882 · arxiv_version: 1611.01882v2 · doi: 10.48550/arxiv.1611.01882 · pith_short_12: 67IOI33BOWPP · pith_short_16: 67IOI33BOWPPKIQJ · pith_short_8: 67IOI33B

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/67IOI33BOWPPKIQJKCWO4M6NAL \
  | 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: f7d0e46f61759ef5220950acee33cd02f4031708ff7359c33a4b94d629480d6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea47476b75c38de64023dda0ad137fd97c7bda6472f2d8015dfae4790c4e0777",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-07T03:11:02Z",
    "title_canon_sha256": "adb4fd9aacd189741932cba0a7a2cc04b7e407f58f9a7a49f2bbbad348b0415f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01882",
    "kind": "arxiv",
    "version": 2
  }
}