Pith Number

pith:AWBNFOAB

pith:2013:AWBNFOABPAX6MPWHW5LIHJZLXW

not attested not anchored not stored refs pending

Non-compactness of the Neumann operator for the Kohn Laplacian on the Heisenberg ball

Robert K. Hladky

arxiv:1302.0807 v1 · 2013-02-04 · math.CV · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWBNFOABPAX6MPWHW5LIHJZLXW}

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	2026-05-18T03:34:36.257425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0582d2b801782fe63ec7b75683a72bbdb025b9203454689176f0764d8010764d

Aliases

arxiv: 1302.0807 · arxiv_version: 1302.0807v1 · doi: 10.48550/arxiv.1302.0807 · pith_short_12: AWBNFOABPAX6 · pith_short_16: AWBNFOABPAX6MPWH · pith_short_8: AWBNFOAB

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/AWBNFOABPAX6MPWHW5LIHJZLXW \
  | 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: 0582d2b801782fe63ec7b75683a72bbdb025b9203454689176f0764d8010764d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "317b46c38973f444508978e4922c3733921b26b57baa258868e70ac55637c49c",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-02-04T19:34:52Z",
    "title_canon_sha256": "08a24812d55593cd03d4deb349e83a9f0ddb5cf9f796926c72e9c7af634fac02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0807",
    "kind": "arxiv",
    "version": 1
  }
}