Pith Number

pith:ZVUJ7ENX

pith:2021:ZVUJ7ENXO56HPKGH3RDUWH4SE2

not attested not anchored not stored refs pending

Blow up limits of the fractional Laplacian and their applications to the fractional Nirenberg problem

Hui Yang, Jingang Xiong, Tianling Jin, Xusheng Du

arxiv:2112.00960 v1 · 2021-12-02 · 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{ZVUJ7ENXO56HPKGH3RDUWH4SE2}

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	2026-07-05T03:37:01.876374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd689f91b7777c77a8c7dc474b1f9226a42881503bd0ff44d9613507ccc725e7

Aliases

arxiv: 2112.00960 · arxiv_version: 2112.00960v1 · doi: 10.48550/arxiv.2112.00960 · pith_short_12: ZVUJ7ENXO56H · pith_short_16: ZVUJ7ENXO56HPKGH · pith_short_8: ZVUJ7ENX

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/ZVUJ7ENXO56HPKGH3RDUWH4SE2 \
  | 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: cd689f91b7777c77a8c7dc474b1f9226a42881503bd0ff44d9613507ccc725e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eefb6636a2ff986d58eb15adefaa41216aff3d2bd5ade2f772ef453ff7d0b95f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-12-02T03:31:09Z",
    "title_canon_sha256": "9951769f426880cd896e18ed990d0e710c02bc2a49d28144c54cf40a75c5a2f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.00960",
    "kind": "arxiv",
    "version": 1
  }
}