Pith Number

pith:EPSWHLCW

pith:2022:EPSWHLCWZQPHLQCKUWF52HJNEW

not attested not anchored not stored refs pending

On a Fractional Nirenberg problem involving the square root of the Laplacian on $\mathbb{S}^{3}$

Ning Zhou, Yan Li, Zhongwei Tang

arxiv:2202.13561 v1 · 2022-02-28 · 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{EPSWHLCWZQPHLQCKUWF52HJNEW}

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	2026-07-05T04:00:31.154188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23e563ac56cc1e75c04aa58bdd1d2d25aaadb91a66ec1adfb144725b7a15467b

Aliases

arxiv: 2202.13561 · arxiv_version: 2202.13561v1 · doi: 10.48550/arxiv.2202.13561 · pith_short_12: EPSWHLCWZQPH · pith_short_16: EPSWHLCWZQPHLQCK · pith_short_8: EPSWHLCW

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/EPSWHLCWZQPHLQCKUWF52HJNEW \
  | 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: 23e563ac56cc1e75c04aa58bdd1d2d25aaadb91a66ec1adfb144725b7a15467b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2cd91e68f6f07a8f10daebc969b87676875d4d7cab508f2d918c16d77f33391",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-02-28T06:19:16Z",
    "title_canon_sha256": "3e97976cd58c4b0bbf8a44dcf41543b6f454141f83c71a9065d51b39588107a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.13561",
    "kind": "arxiv",
    "version": 1
  }
}