Pith Number

pith:UJP7G2HJ

pith:2023:UJP7G2HJ2GJPZLI5UIIOKOZAG4

not attested not anchored not stored refs pending

Positivity of tangent sheaves of projective varieties -- the structure of MRC fibrations

Guolei Zhong, Masataka Iwai, Shin-ichi Matsumura

arxiv:2309.09489 v2 · 2023-09-18 · 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{UJP7G2HJ2GJPZLI5UIIOKOZAG4}

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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

Compact K\"ahler manifolds with nef anti-canonical bundle

Receipt and verification

First computed	2026-07-05T11:40:47.033223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a25ff368e9d192fcad1da210e53b203723f10c9e1cdd530e2ca67d115fee0d7b

Aliases

arxiv: 2309.09489 · arxiv_version: 2309.09489v2 · doi: 10.48550/arxiv.2309.09489 · pith_short_12: UJP7G2HJ2GJP · pith_short_16: UJP7G2HJ2GJPZLI5 · pith_short_8: UJP7G2HJ

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/UJP7G2HJ2GJPZLI5UIIOKOZAG4 \
  | 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: a25ff368e9d192fcad1da210e53b203723f10c9e1cdd530e2ca67d115fee0d7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "963f94d09a61547d3977127e16c4076d1aca9791e41a8c2cc4455b5004ae587d",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-09-18T05:13:34Z",
    "title_canon_sha256": "471768b68188adfe5887868bff676b2532ddf72827999131fd3f93092bf8eacd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.09489",
    "kind": "arxiv",
    "version": 2
  }
}