Pith Number

pith:O7BUJ3XZ

pith:2022:O7BUJ3XZHI2NKX4CT6LZUS64T7

not attested not anchored not stored refs pending

Classification of solutions to equations involving Higher-order fractional Laplacian

Jiaqi Hu, Yuan Li, Zhenping Feng, Zhuoran Du

arxiv:2202.01409 v1 · 2022-02-03 · 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{O7BUJ3XZHI2NKX4CT6LZUS64T7}

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	2026-07-05T03:53:54.001069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c344eef93a34d55f829f979a4bdc9fceed3a449ec3ecb47271d51c358714e5

Aliases

arxiv: 2202.01409 · arxiv_version: 2202.01409v1 · doi: 10.48550/arxiv.2202.01409 · pith_short_12: O7BUJ3XZHI2N · pith_short_16: O7BUJ3XZHI2NKX4C · pith_short_8: O7BUJ3XZ

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/O7BUJ3XZHI2NKX4CT6LZUS64T7 \
  | 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: 77c344eef93a34d55f829f979a4bdc9fceed3a449ec3ecb47271d51c358714e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c07e9ec26e5d5503ee37405a0d044ead5a6a7403d07379b7527123c4e293c90f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-02-03T04:56:34Z",
    "title_canon_sha256": "046e9831c6fc939eddbfe9fabdf04be0a2812e2194b48792c2ee9835830e50d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.01409",
    "kind": "arxiv",
    "version": 1
  }
}