Pith Number

pith:37USYYBR

pith:2023:37USYYBR4IRJJPEX25K3472HC5

not attested not anchored not stored refs pending

On the Minimal Model Program for K\"ahler 3-folds

Christopher Hacon, Omprokash Das

arxiv:2306.11708 v2 · 2023-06-20 · 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{37USYYBR4IRJJPEX25K3472HC5}

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	2026-07-05T08:36:42.516797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfe92c6031e22294bc97d755be7f471772a9423f024bb57e5e32cfb468b534ac

Aliases

arxiv: 2306.11708 · arxiv_version: 2306.11708v2 · doi: 10.48550/arxiv.2306.11708 · pith_short_12: 37USYYBR4IRJ · pith_short_16: 37USYYBR4IRJJPEX · pith_short_8: 37USYYBR

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/37USYYBR4IRJJPEX25K3472HC5 \
  | 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: dfe92c6031e22294bc97d755be7f471772a9423f024bb57e5e32cfb468b534ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceaa75c366ab5450eeef2a17c84cdf90816344118f6a749f39e07f912b4f5caf",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-06-20T17:37:15Z",
    "title_canon_sha256": "ea28a66d3214eee72bda2a8f8eebfcd397a58cb3393e200ce75ad827942c6ed5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.11708",
    "kind": "arxiv",
    "version": 2
  }
}