Pith Number

pith:BH43U4WQ

pith:2019:BH43U4WQK5YPWHK4T7YAUCUIXP

not attested not anchored not stored refs pending

Complements on log canonical Fano varieties

Yanning Xu

arxiv:1901.03891 v1 · 2019-01-12 · 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{BH43U4WQK5YPWHK4T7YAUCUIXP}

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

Failure of the semi log canonical Abundance for compact K\"{a}hler threefolds

Receipt and verification

First computed	2026-05-17T23:56:26.804003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09f9ba72d05770fb1d5c9ff00a0a88bbe04734f9a0a8c62d6525a00fa10de8ab

Aliases

arxiv: 1901.03891 · arxiv_version: 1901.03891v1 · doi: 10.48550/arxiv.1901.03891 · pith_short_12: BH43U4WQK5YP · pith_short_16: BH43U4WQK5YPWHK4 · pith_short_8: BH43U4WQ

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/BH43U4WQK5YPWHK4T7YAUCUIXP \
  | 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: 09f9ba72d05770fb1d5c9ff00a0a88bbe04734f9a0a8c62d6525a00fa10de8ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6acfb67578b66af16c64d851e966cdb61ea27daf8304c631b7b69251525db2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-12T18:35:51Z",
    "title_canon_sha256": "f4c23a998177279da3f1f7470909b94a8bb569e8744e1d77a378d6b402a3c005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03891",
    "kind": "arxiv",
    "version": 1
  }
}