Pith Number

pith:BODXRQ3K

pith:2014:BODXRQ3KLOB2UFQV7YAF76A76G

not attested not anchored not stored refs pending

About a Minimal Model Program without flips

Alberto Chiecchio

arxiv:1410.6230 v2 · 2014-10-23 · 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{BODXRQ3KLOB2UFQV7YAF76A76G}

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	2026-05-18T02:37:37.983876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b8778c36a5b83aa1615fe005ff81ff1b4134681fdcd2ae1f61ffb8a367f41fa

Aliases

arxiv: 1410.6230 · arxiv_version: 1410.6230v2 · doi: 10.48550/arxiv.1410.6230 · pith_short_12: BODXRQ3KLOB2 · pith_short_16: BODXRQ3KLOB2UFQV · pith_short_8: BODXRQ3K

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/BODXRQ3KLOB2UFQV7YAF76A76G \
  | 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: 0b8778c36a5b83aa1615fe005ff81ff1b4134681fdcd2ae1f61ffb8a367f41fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca3a4d8488a9161e49859cb34411b1e4c52c58a8a0d499e8b5b0956c37c5f6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-23T03:10:20Z",
    "title_canon_sha256": "174b67701543b68f7d81f4c4213a04c04428e733f3e009779e8bf68305a495e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6230",
    "kind": "arxiv",
    "version": 2
  }
}