Pith Number

pith:QIW3KKOB

pith:2022:QIW3KKOBZ3WPCD3DX5YTSBNZ2F

not attested not anchored not stored refs pending

Log Calabi-Yau structure of projective threefolds admitting polarized endomorphisms

Sheng Meng

arxiv:2204.11244 v3 · 2022-04-24 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIW3KKOBZ3WPCD3DX5YTSBNZ2F}

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.

Cited by

1 paper in Pith

Log Calabi--Yau structure for endomorphisms on $\mathbf{P}^n$

Receipt and verification

First computed	2026-07-05T12:03:20.422573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

822db529c1ceecf10f63bf713905b9d17cd67a5a7d90ba86a3ee25acb1195eb1

Aliases

arxiv: 2204.11244 · arxiv_version: 2204.11244v3 · doi: 10.48550/arxiv.2204.11244 · pith_short_12: QIW3KKOBZ3WP · pith_short_16: QIW3KKOBZ3WPCD3D · pith_short_8: QIW3KKOB

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/QIW3KKOBZ3WPCD3DX5YTSBNZ2F \
  | 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: 822db529c1ceecf10f63bf713905b9d17cd67a5a7d90ba86a3ee25acb1195eb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c95ab6274e6bee7139f4cba04a0d2e3dcc6e5127450929a053fce2b069fca930",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-04-24T11:09:31Z",
    "title_canon_sha256": "2e8adb68f11bd03453fa1f64e6caea84d7134f99b1375c184ff869fc131c09cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.11244",
    "kind": "arxiv",
    "version": 3
  }
}