Pith Number

pith:2VGIIZBF

pith:2013:2VGIIZBFBYVZPXH5WYN2CDSWIT

not attested not anchored not stored refs pending

On the three dimensional minimal model program in positive characteristic

Chenyang Xu, Christopher D. Hacon

arxiv:1302.0298 v2 · 2013-02-01 · 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{2VGIIZBFBYVZPXH5WYN2CDSWIT}

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	2026-05-18T03:19:45.697540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d54c8464250e2b97dcfdb61ba10e5644e6ed9da247a2f5e4d453fa19aac10c81

Aliases

arxiv: 1302.0298 · arxiv_version: 1302.0298v2 · doi: 10.48550/arxiv.1302.0298 · pith_short_12: 2VGIIZBFBYVZ · pith_short_16: 2VGIIZBFBYVZPXH5 · pith_short_8: 2VGIIZBF

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/2VGIIZBFBYVZPXH5WYN2CDSWIT \
  | 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: d54c8464250e2b97dcfdb61ba10e5644e6ed9da247a2f5e4d453fa19aac10c81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c650509fc27288d0b29fedb01ab92c167902edd2282e20ec7b86ec29b112b22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-01T21:28:59Z",
    "title_canon_sha256": "53f0e839590f9da40f3dcd4da845faa2f9483f236722ec36e2816f1a7b744788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0298",
    "kind": "arxiv",
    "version": 2
  }
}