Pith Number

pith:YQO6B7RR

pith:2017:YQO6B7RRYQZNIPOVY76LSU6JGD

not attested not anchored not stored refs pending

Higher dimensional foliated Mori theory

Calum Spicer

arxiv:1709.06850 v4 · 2017-09-20 · math.AG · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQO6B7RRYQZNIPOVY76LSU6JGD}

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

Local and global applications of the Minimal Model Program for co-rank one foliations on threefolds

Receipt and verification

First computed	2026-07-05T00:20:09.623580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c41de0fe31c432d43dd5c7fcb953c930c1d970d120cee6b8695c0130f2ea8685

Aliases

arxiv: 1709.06850 · arxiv_version: 1709.06850v4 · doi: 10.48550/arxiv.1709.06850 · pith_short_12: YQO6B7RRYQZN · pith_short_16: YQO6B7RRYQZNIPOV · pith_short_8: YQO6B7RR

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/YQO6B7RRYQZNIPOVY76LSU6JGD \
  | 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: c41de0fe31c432d43dd5c7fcb953c930c1d970d120cee6b8695c0130f2ea8685

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0e0848ab980a058718139e8be7932a22347aaf165c567c200d0979a6d6f2d0b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-09-20T13:16:11Z",
    "title_canon_sha256": "477db262ae670290b8acb455e865a97066d7028d12906b430306481e954e6734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06850",
    "kind": "arxiv",
    "version": 4
  }
}