Pith Number

pith:LU6XK2WA

pith:2017:LU6XK2WAZEERFI53MCF2EUQU6T

not attested not anchored not stored refs pending

A Note on Commutators of the Fractional Sub-Laplacian on Carnot Groups

Ali Maalaoui

arxiv:1711.10298 v1 · 2017-11-28 · 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{LU6XK2WAZEERFI53MCF2EUQU6T}

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	2026-05-18T00:29:22.678609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d3d756ac0c90912a3bb608ba25214f4e01f767dfb2bb7a7ee4a58f524822e46

Aliases

arxiv: 1711.10298 · arxiv_version: 1711.10298v1 · doi: 10.48550/arxiv.1711.10298 · pith_short_12: LU6XK2WAZEER · pith_short_16: LU6XK2WAZEERFI53 · pith_short_8: LU6XK2WA

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/LU6XK2WAZEERFI53MCF2EUQU6T \
  | 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: 5d3d756ac0c90912a3bb608ba25214f4e01f767dfb2bb7a7ee4a58f524822e46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82443c597f25c67635735cc0a38c65d837d4b4b40e952e0e6d1804cb14aacd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-28T14:14:18Z",
    "title_canon_sha256": "71aa84d2e9233cc8499cc1e7f418bbfcc8569f9e89732a3b774d28e942aa25de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10298",
    "kind": "arxiv",
    "version": 1
  }
}