Pith Number

pith:D4Y5W363

pith:2024:D4Y5W363A7OYRCKVQJIESEJT7Q

not attested not anchored not stored refs pending

On the Miyaoka-Yau inequality for manifolds with nef anti-canonical line bundle

Tomoyuki Hisamoto

arxiv:2403.09120 v2 · 2024-03-14 · math.DG · 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{D4Y5W363A7OYRCKVQJIESEJT7Q}

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	2026-07-05T08:40:14.968900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f31db6fdb07dd8889558250491133fc120bd669671a41940485b1dbcc4c3192

Aliases

arxiv: 2403.09120 · arxiv_version: 2403.09120v2 · doi: 10.48550/arxiv.2403.09120 · pith_short_12: D4Y5W363A7OY · pith_short_16: D4Y5W363A7OYRCKV · pith_short_8: D4Y5W363

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/D4Y5W363A7OYRCKVQJIESEJT7Q \
  | 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: 1f31db6fdb07dd8889558250491133fc120bd669671a41940485b1dbcc4c3192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a4647f96b5a7a6fcd7f9f66003f1a13fe0e7ddd93f24cece5e6ba64988abff5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-03-14T06:07:59Z",
    "title_canon_sha256": "927e844350009b5f0800229307a87a4a8431814070df6e348024d688495f6e3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.09120",
    "kind": "arxiv",
    "version": 2
  }
}