Pith Number

pith:7UGNM65Z

pith:2020:7UGNM65Z3MFJ5GT5EYJZPXJYX4

not attested not anchored not stored refs pending

The log minimal model program for K\"ahler $3$-folds

Christopher Hacon, Omprokash Das

arxiv:2009.05924 v4 · 2020-09-13 · 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{7UGNM65Z3MFJ5GT5EYJZPXJYX4}

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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

Transcendental Minimal Model Program for Projective Varieties

Receipt and verification

First computed	2026-07-05T08:05:45.510716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd0cd67bb9db0a9e9a7d261397dd38bf317237d6b02b9d132924575308a5ede5

Aliases

arxiv: 2009.05924 · arxiv_version: 2009.05924v4 · doi: 10.48550/arxiv.2009.05924 · pith_short_12: 7UGNM65Z3MFJ · pith_short_16: 7UGNM65Z3MFJ5GT5 · pith_short_8: 7UGNM65Z

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/7UGNM65Z3MFJ5GT5EYJZPXJYX4 \
  | 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: fd0cd67bb9db0a9e9a7d261397dd38bf317237d6b02b9d132924575308a5ede5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0799506038d6287adb51e7246b765b431e03637aa2caa64fc4af14cc255d1876",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-09-13T05:15:39Z",
    "title_canon_sha256": "6e0e39b7e9398f13b7d2169855bd73c05bf521b30de07fca1012f55c8a7c1ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.05924",
    "kind": "arxiv",
    "version": 4
  }
}