Pith Number

pith:NDKLKWTW

pith:2018:NDKLKWTWMKGSVGVI2GLFHK4FAT

not attested not anchored not stored refs pending

Bergman-Toeplitz operators on fat Hartogs triangles

Jiakun Liu, Phung Trong Thuc, Tran Vu Khanh

arxiv:1802.09174 v1 · 2018-02-26 · math.CV · 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{NDKLKWTWMKGSVGVI2GLFHK4FAT}

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	2026-05-18T00:22:34.508358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68d4b55a76628d2a9aa8d19653ab8504fdee7ab09576046b8fab27d13d9a2dfc

Aliases

arxiv: 1802.09174 · arxiv_version: 1802.09174v1 · doi: 10.48550/arxiv.1802.09174 · pith_short_12: NDKLKWTWMKGS · pith_short_16: NDKLKWTWMKGSVGVI · pith_short_8: NDKLKWTW

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/NDKLKWTWMKGSVGVI2GLFHK4FAT \
  | 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: 68d4b55a76628d2a9aa8d19653ab8504fdee7ab09576046b8fab27d13d9a2dfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2608b25ca611bc8c17f60fd6164c745ec211f45f8f9043c6ca28f787b6d4179",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-02-26T06:09:08Z",
    "title_canon_sha256": "cbb595eda559d4fdac6b71d69be79c9700cf11792a2eb6978c145d7b453d0723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09174",
    "kind": "arxiv",
    "version": 1
  }
}