Pith Number

pith:Q5O6KQOT

pith:2017:Q5O6KQOTIESHCCEWQB4EJ5T3LA

not attested not anchored not stored refs pending

Minimal model program for log canonical threefolds in positive characteristic

Hiromu Tanaka, Kenta Hashizume, Yusuke Nakamura

arxiv:1711.10706 v2 · 2017-11-29 · 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{Q5O6KQOTIESHCCEWQB4EJ5T3LA}

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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

Abundance for threefolds in positive characteristic when $\nu=2$

Receipt and verification

First computed	2026-05-17T23:52:08.215029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

875de541d34124710896807844f67b58304620d929b813f55a918882b61c93c0

Aliases

arxiv: 1711.10706 · arxiv_version: 1711.10706v2 · doi: 10.48550/arxiv.1711.10706 · pith_short_12: Q5O6KQOTIESH · pith_short_16: Q5O6KQOTIESHCCEW · pith_short_8: Q5O6KQOT

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/Q5O6KQOTIESHCCEWQB4EJ5T3LA \
  | 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: 875de541d34124710896807844f67b58304620d929b813f55a918882b61c93c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "065746f18767b8dd943a55db94d7b2fe7e6fffea5361565f3030453dfe46f6ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-11-29T07:12:06Z",
    "title_canon_sha256": "e743f0b6b1b6b30854aea34d6d980edbaa04cc3cd01dbbac99f48f716c0e4ddb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10706",
    "kind": "arxiv",
    "version": 2
  }
}