Pith Number

pith:2ZZLNOY2

pith:2022:2ZZLNOY2QRTNORS5HFVXE7EFXA

not attested not anchored not stored refs pending

Compactness and existence results of the prescribing fractional $Q$-curvatures problem on $\mathbb{S}^n$

Ning Zhou, Yan Li, Zhongwei Tang

arxiv:2204.10583 v1 · 2022-04-22 · 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{2ZZLNOY2QRTNORS5HFVXE7EFXA}

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	2026-07-05T04:16:58.696445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d672b6bb1a8466d7465d396b727c85b801f654fe99c583ae9b6913a6dcbb71f1

Aliases

arxiv: 2204.10583 · arxiv_version: 2204.10583v1 · doi: 10.48550/arxiv.2204.10583 · pith_short_12: 2ZZLNOY2QRTN · pith_short_16: 2ZZLNOY2QRTNORS5 · pith_short_8: 2ZZLNOY2

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/2ZZLNOY2QRTNORS5HFVXE7EFXA \
  | 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: d672b6bb1a8466d7465d396b727c85b801f654fe99c583ae9b6913a6dcbb71f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e6c26409f4b89d74917e94d0df905a22c042257ad33a82df37c4f2e0fbacf6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-04-22T09:05:14Z",
    "title_canon_sha256": "2de798b1b1f59e6558bc4282bd97cf6061dc0de9c7c3dbfc905dfd2e4fc94094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.10583",
    "kind": "arxiv",
    "version": 1
  }
}