Pith Number

pith:LVEKYQRP

pith:2017:LVEKYQRPBHVK6OWB5BAMMXY4RP

not attested not anchored not stored refs pending

The minimal model program for b-log canonical divisors and applications

Basil Nanayakkara, Boris Lerner, Colin Ingalls, Daniel Chan, Kelly Jabbusch, Kenneth Chan, Louis de Thanhoffer de V\"olcsey, Michel Van den Bergh, Rajesh Kulkarni, S\'andor J Kov\'acs, Shinnosuke Okawa

arxiv:1707.00834 v2 · 2017-07-04 · 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{LVEKYQRPBHVK6OWB5BAMMXY4RP}

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	2026-05-18T00:40:53.649308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d48ac422f09eaaf3ac1e840c65f1c8bf53839e83849bdea7d65402a2a273009

Aliases

arxiv: 1707.00834 · arxiv_version: 1707.00834v2 · doi: 10.48550/arxiv.1707.00834 · pith_short_12: LVEKYQRPBHVK · pith_short_16: LVEKYQRPBHVK6OWB · pith_short_8: LVEKYQRP

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/LVEKYQRPBHVK6OWB5BAMMXY4RP \
  | 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: 5d48ac422f09eaaf3ac1e840c65f1c8bf53839e83849bdea7d65402a2a273009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dc0916bde49e8eb0a1cb3423d328e9a263aed637e6edc94212b72ccf9675106",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-04T07:27:43Z",
    "title_canon_sha256": "1ebf94d952be93cf916370dc167376e5baf29333cf61865a1e2213c24c345548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00834",
    "kind": "arxiv",
    "version": 2
  }
}