Pith Number

pith:Y5HR3QVK

pith:2020:Y5HR3QVKFK73AD33A537C44MJV

not attested not anchored not stored refs pending

On connectedness of non-klt loci of singularities of pairs

Caucher Birkar

arxiv:2010.08226 v2 · 2020-10-16 · 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{Y5HR3QVKFK73AD33A537C44MJV}

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

Discreteness of volumes of divisors on Calabi-Yau type varieties

Receipt and verification

First computed	2026-07-05T04:22:14.770137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c74f1dc2aa2abfb00f7b0777f1738c4d5167ff6a78cdbfd68e22049fdcad30fc

Aliases

arxiv: 2010.08226 · arxiv_version: 2010.08226v2 · doi: 10.48550/arxiv.2010.08226 · pith_short_12: Y5HR3QVKFK73 · pith_short_16: Y5HR3QVKFK73AD33 · pith_short_8: Y5HR3QVK

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/Y5HR3QVKFK73AD33A537C44MJV \
  | 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: c74f1dc2aa2abfb00f7b0777f1738c4d5167ff6a78cdbfd68e22049fdcad30fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d65ff7097369ab1b57244aafd0b9ca6c35d712eb86c826c99a746ceca11644e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-10-16T08:17:01Z",
    "title_canon_sha256": "403e5b72d42aebd3a582b6610bea0ff637e00882b125ca913f7734293f61f4cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.08226",
    "kind": "arxiv",
    "version": 2
  }
}