Pith Number

pith:X376LMKM

pith:2020:X376LMKMZAJGSIVY5COQPNTBVZ

not attested not anchored not stored refs pending

Finiteness of log abundant log canonical pairs in log minimal model program with scaling

Kenta Hashizume

arxiv:2005.12253 v4 · 2020-05-25 · 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{X376LMKMZAJGSIVY5COQPNTBVZ}

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

Addendum: On generalized canonical bundle formula and boundedness of complements in complex analytic setting

Receipt and verification

First computed	2026-07-05T05:28:03.826958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beffe5b14cc8126922b8e89d07b661ae538bfa6b1ba119f2a250685a60c8bc6d

Aliases

arxiv: 2005.12253 · arxiv_version: 2005.12253v4 · doi: 10.48550/arxiv.2005.12253 · pith_short_12: X376LMKMZAJG · pith_short_16: X376LMKMZAJGSIVY · pith_short_8: X376LMKM

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/X376LMKMZAJGSIVY5COQPNTBVZ \
  | 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: beffe5b14cc8126922b8e89d07b661ae538bfa6b1ba119f2a250685a60c8bc6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa36f5800dedb69368383b82525f1a480f947b4277c0a575343b7b963ffb1992",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-05-25T17:55:35Z",
    "title_canon_sha256": "3568a99a9fbdd606275feeeeba91d3298109f2f5b04464d5b5b33097609496e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.12253",
    "kind": "arxiv",
    "version": 4
  }
}