pith. sign in
Pith Number

pith:WZK4LCFN

pith:2018:WZK4LCFNEJPWHULXE6XRWCVN2W
not attested not anchored not stored refs pending

Solution of the tangential Kohn Laplacian on a class of non-compact CR manifolds

Chin-Yu Hsiao, Po-Lam Yung

arxiv:1808.07212 v2 · 2018-08-22 · math.CV · math.AP · math.CA · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WZK4LCFNEJPWHULXE6XRWCVN2W}

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 2026-05-17T23:52:27.203265Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b655c588ad225f63d17727af1b0aadd58dc52a782c76b5201c0bf4bbd98617ff

Aliases

arxiv: 1808.07212 · arxiv_version: 1808.07212v2 · doi: 10.48550/arxiv.1808.07212 · pith_short_12: WZK4LCFNEJPW · pith_short_16: WZK4LCFNEJPWHULX · pith_short_8: WZK4LCFN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WZK4LCFNEJPWHULXE6XRWCVN2W \
  | 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: b655c588ad225f63d17727af1b0aadd58dc52a782c76b5201c0bf4bbd98617ff
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "344c571c5b2234ddc043c30429670550bce520e8151412b1dfac5b7225989cc0",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-08-22T04:09:21Z",
    "title_canon_sha256": "95dc74c31e1186c80ac55d5d28158a569bfde5b741b10044d0d96a17467de4d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07212",
    "kind": "arxiv",
    "version": 2
  }
}