Pith Number

pith:NZDOFPC6

pith:2022:NZDOFPC632XQFY52QDR2QL73LD

not attested not anchored not stored refs pending

K-stable divisors in $\mathbb{P}^1\times\mathbb{P}^1\times\mathbb{P}^2$ of degree $(1,1,2)$

Ivan Cheltsov, Kento Fujita, Takashi Kishimoto, Takuzo Okada

arxiv:2206.08539 v2 · 2022-06-17 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZDOFPC632XQFY52QDR2QL73LD}

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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

On K-stability of $\mathbb P^3$ blown up along a smooth genus $2$ curve of degree $5$

Receipt and verification

First computed	2026-07-05T05:38:08.716498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e46e2bc5edeaf02e3ba80e3a82ffb58f8c6fb9bf87acccae77220f858b9e83b

Aliases

arxiv: 2206.08539 · arxiv_version: 2206.08539v2 · doi: 10.48550/arxiv.2206.08539 · pith_short_12: NZDOFPC632XQ · pith_short_16: NZDOFPC632XQFY52 · pith_short_8: NZDOFPC6

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/NZDOFPC632XQFY52QDR2QL73LD \
  | 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: 6e46e2bc5edeaf02e3ba80e3a82ffb58f8c6fb9bf87acccae77220f858b9e83b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f6f822afc0a5986185d7bb4b3fd9658992e3d350968b6b6c2bdb5877f8ea7c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-06-17T04:10:54Z",
    "title_canon_sha256": "827fea925e0d5a181bc6e1b3825f31d8127498988d864f1eb4b146fdd06224dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.08539",
    "kind": "arxiv",
    "version": 2
  }
}