Pith Number

pith:ZFCCLZK7

pith:2018:ZFCCLZK7Z5YQHHQ26C462U2YQM

not attested not anchored not stored refs pending

On equivalent conjectures for minimal log discrepancies on smooth threefolds

Masayuki Kawakita

arxiv:1803.02539 v1 · 2018-03-07 · 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{ZFCCLZK7Z5YQHHQ26C462U2YQM}

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.

Receipt and verification

First computed	2026-05-18T00:21:49.909150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c94425e55fcf71039e1af0b9ed5358832054bd9a9df681a4558b5fe308144c72

Aliases

arxiv: 1803.02539 · arxiv_version: 1803.02539v1 · doi: 10.48550/arxiv.1803.02539 · pith_short_12: ZFCCLZK7Z5YQ · pith_short_16: ZFCCLZK7Z5YQHHQ2 · pith_short_8: ZFCCLZK7

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/ZFCCLZK7Z5YQHHQ26C462U2YQM \
  | 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: c94425e55fcf71039e1af0b9ed5358832054bd9a9df681a4558b5fe308144c72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7af640af03b37f4a301a83891636ced96682d381955393dccfecd12b78955e62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-07T06:45:11Z",
    "title_canon_sha256": "82b26a34b08f86160797f6a87753e59e0222673c8538b0253949e13e68fcd417"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02539",
    "kind": "arxiv",
    "version": 1
  }
}