Pith Number

pith:XKCLXUUV

pith:2013:XKCLXUUVVUIW2ZSQGYF5752Y3J

not attested not anchored not stored refs pending

On the number of minimal models of a log smooth threefold

Paolo Cascini, Vladimir Lazi\'c

arxiv:1306.4579 v1 · 2013-06-19 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XKCLXUUVVUIW2ZSQGYF5752Y3J}

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.

Receipt and verification

First computed	2026-05-18T02:29:15.959374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba84bbd295ad116d6650360bdff758da4bb77a085ba59a43fd4669357b904185

Aliases

arxiv: 1306.4579 · arxiv_version: 1306.4579v1 · doi: 10.48550/arxiv.1306.4579 · pith_short_12: XKCLXUUVVUIW · pith_short_16: XKCLXUUVVUIW2ZSQ · pith_short_8: XKCLXUUV

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/XKCLXUUVVUIW2ZSQGYF5752Y3J \
  | 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: ba84bbd295ad116d6650360bdff758da4bb77a085ba59a43fd4669357b904185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4daf6f655dbb2be49a22bf32e54df6c2fca4fcc06bbb59fd75353147ac32d0fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-19T15:28:29Z",
    "title_canon_sha256": "918018ec1222c4400473c5375c8e2972f3fb5e3a69fd473f6f9a99d26d4cd70b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4579",
    "kind": "arxiv",
    "version": 1
  }
}