Pith Number

pith:GZTGQX3V

pith:2023:GZTGQX3VJ2OYU5ORQNVKM5HZQW

not attested not anchored not stored refs pending

MMP for Generalized Pairs on K\"ahler 3-folds

Christopher Hacon, Jos\'e Ignacio Y\'a\~nez, Omprokash Das

arxiv:2305.00524 v3 · 2023-04-30 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZTGQX3VJ2OYU5ORQNVKM5HZQW}

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.

Cited by

1 paper in Pith

On the minimal model theory for generalized pairs of relative log numerical dimension zero

Receipt and verification

First computed	2026-06-30T02:16:47.169995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3666685f754e9d8a75d1836aa674f985b826079714b8e3c563d8be6583b8c330

Aliases

arxiv: 2305.00524 · arxiv_version: 2305.00524v3 · doi: 10.48550/arxiv.2305.00524 · pith_short_12: GZTGQX3VJ2OY · pith_short_16: GZTGQX3VJ2OYU5OR · pith_short_8: GZTGQX3V

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/GZTGQX3VJ2OYU5ORQNVKM5HZQW \
  | 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: 3666685f754e9d8a75d1836aa674f985b826079714b8e3c563d8be6583b8c330

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94dd99f5fa130f545a0fb704dd0095082db96f2db15c5885c57d12e4aa043e0f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-04-30T16:50:35Z",
    "title_canon_sha256": "2f4cc3b3ec549747329e2383efdba1d9694690c1ebc253fb8b4fdb448f1a2eaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.00524",
    "kind": "arxiv",
    "version": 3
  }
}