Pith Number

pith:ZFB6CYN5

pith:2025:ZFB6CYN5JDQNDDAVZONE2MPFLO

not attested not anchored not stored refs pending

The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors

Masataka Iwai, Satoshi Jinnouchi, Shiyu Zhang

arxiv:2507.08522 v2 · 2025-07-11 · math.AG · math.CV · 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{ZFB6CYN5JDQNDDAVZONE2MPFLO}

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	2026-07-05T11:48:27.173849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c943e161bd48e0d18c15cb9a4d31e55bb63c4783415de7af7025b9d6c9290ecd

Aliases

arxiv: 2507.08522 · arxiv_version: 2507.08522v2 · doi: 10.48550/arxiv.2507.08522 · pith_short_12: ZFB6CYN5JDQN · pith_short_16: ZFB6CYN5JDQNDDAV · pith_short_8: ZFB6CYN5

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/ZFB6CYN5JDQNDDAVZONE2MPFLO \
  | 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: c943e161bd48e0d18c15cb9a4d31e55bb63c4783415de7af7025b9d6c9290ecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2998e9393a2ab1660c8cac92d77901954af689c0f3d49bc337664dbef5e8397e",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-11T12:17:16Z",
    "title_canon_sha256": "cd0c142efe3af27ac49316502a06ce7a60c3df8f05ae4bfef4d442cbd18970e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08522",
    "kind": "arxiv",
    "version": 2
  }
}