Pith Number

pith:JQA7RH4Q

pith:2019:JQA7RH4QK3QRZJOTAS5SHGDBSB

not attested not anchored not stored refs pending

On the existence of minimal models for log canonical pairs

Nikolaos Tsakanikas, Vladimir Lazi\'c

arxiv:1905.05576 v3 · 2019-05-14 · 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{JQA7RH4QK3QRZJOTAS5SHGDBSB}

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	2026-07-05T04:25:07.259699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c01f89f9056e11ca5d304bb2398619061ab68112f124c7e8cb0c2beb357035c

Aliases

arxiv: 1905.05576 · arxiv_version: 1905.05576v3 · doi: 10.48550/arxiv.1905.05576 · pith_short_12: JQA7RH4QK3QR · pith_short_16: JQA7RH4QK3QRZJOT · pith_short_8: JQA7RH4Q

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/JQA7RH4QK3QRZJOTAS5SHGDBSB \
  | 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: 4c01f89f9056e11ca5d304bb2398619061ab68112f124c7e8cb0c2beb357035c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93a2345ce6f481565d495ed9b0f224f1f3e009fd65cccd6f9391ecad29158c4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-05-14T13:10:19Z",
    "title_canon_sha256": "b265bb467d7e8896e6b52bf2c2326585d97cb77ed4aad0ce39262d8f42027086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05576",
    "kind": "arxiv",
    "version": 3
  }
}