Pith Number

pith:ZVVZN6DX

pith:2019:ZVVZN6DXND6VB7C7ZULNDPFLH5

not attested not anchored not stored refs pending

Special Toeplitz operators on a class of bounded Hartogs domains

Yanyan Tang, Zhenhan Tu

arxiv:1908.02192 v1 · 2019-08-06 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVVZN6DXND6VB7C7ZULNDPFLH5}

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	2026-07-04T23:51:51.896824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd6b96f87768fd50fc5fcd16d1bcab3f7b3275846188d3b682c74872251292d7

Aliases

arxiv: 1908.02192 · arxiv_version: 1908.02192v1 · doi: 10.48550/arxiv.1908.02192 · pith_short_12: ZVVZN6DXND6V · pith_short_16: ZVVZN6DXND6VB7C7 · pith_short_8: ZVVZN6DX

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/ZVVZN6DXND6VB7C7ZULNDPFLH5 \
  | 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: cd6b96f87768fd50fc5fcd16d1bcab3f7b3275846188d3b682c74872251292d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e519ecf6d8944b59ea297f9071d53109607299a0ebbf7f47aa7f9006ea3b8827",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-08-06T14:57:18Z",
    "title_canon_sha256": "eb3475269182c8150ab9dff8f607375a344252435080e25b3b3918cc0e5e08e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02192",
    "kind": "arxiv",
    "version": 1
  }
}