Pith Number

pith:2SKWDRRP

pith:2021:2SKWDRRPRWW2OCDZU3TELILVYY

not attested not anchored not stored refs pending

Structure theorem for projective klt pairs with nef anti-canonical divisor

Juanyong Wang, Shin-ichi Matsumura

arxiv:2105.14308 v3 · 2021-05-29 · math.AG · math.CV · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2SKWDRRPRWW2OCDZU3TELILVYY}

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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 the minimal model program for projective varieties with pseudo-effective tangent sheaf

Receipt and verification

First computed	2026-07-05T06:45:56.239381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d49561c62f8dada70879a6e645a175c6171f5510583eb1b3edaa21f6e28701ca

Aliases

arxiv: 2105.14308 · arxiv_version: 2105.14308v3 · doi: 10.48550/arxiv.2105.14308 · pith_short_12: 2SKWDRRPRWW2 · pith_short_16: 2SKWDRRPRWW2OCDZ · pith_short_8: 2SKWDRRP

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/2SKWDRRPRWW2OCDZU3TELILVYY \
  | 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: d49561c62f8dada70879a6e645a175c6171f5510583eb1b3edaa21f6e28701ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36aecbdf34c1076ddc98d8932246f3329aedab35e4f4de749606f5b3a2895634",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-05-29T14:25:13Z",
    "title_canon_sha256": "b9c95b2beab3e93aaaf42f66e54b7c2199b3acf4659d84f0a6760d83226ddf7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.14308",
    "kind": "arxiv",
    "version": 3
  }
}