Pith Number

pith:XF73AMY5

pith:2026:XF73AMY5XF3YXU5ABQHGZILGOK

not attested not anchored not stored refs pending

The Fractional-Logarithmic Laplacian: Potentials, Regularity, and Critical Compact Embeddings

Rui Chen

arxiv:2603.04879 v2 · 2026-03-05 · 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{XF73AMY5XF3YXU5ABQHGZILGOK}

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	2026-06-08T01:04:00.020667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b97fb0331db9778bd3a00c0e6ca1667284105cf2def74ecd76e2217c57cac320

Aliases

arxiv: 2603.04879 · arxiv_version: 2603.04879v2 · doi: 10.48550/arxiv.2603.04879 · pith_short_12: XF73AMY5XF3Y · pith_short_16: XF73AMY5XF3YXU5A · pith_short_8: XF73AMY5

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/XF73AMY5XF3YXU5ABQHGZILGOK \
  | 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: b97fb0331db9778bd3a00c0e6ca1667284105cf2def74ecd76e2217c57cac320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a082984daf00a51dbd13f02113c619c9d7ef03a47fddef4c20184a2e13ea4c86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-03-05T07:18:17Z",
    "title_canon_sha256": "51ce3a0a128c647830896973747f0f52e9bcc025b127154dd3c6e4132bf1c70b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.04879",
    "kind": "arxiv",
    "version": 2
  }
}