Pith Number

pith:CAFY4ZQH

pith:2024:CAFY4ZQHBQD4BEQ5225QWR34QC

not attested not anchored not stored refs pending

Kawamata-Miyaoka-type inequality for $\mathbb Q$-Fano varieties with canonical singularities II: Terminal $\mathbb Q$-Fano threefolds

Haidong Liu, Jie Liu

arxiv:2401.04391 v4 · 2024-01-09 · 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{CAFY4ZQHBQD4BEQ5225QWR34QC}

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	2026-05-20T14:03:17.138425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

100b8e66070c07c0921dd6bb0b477c808acb3376d1cd7698babb48c602a415f6

Aliases

arxiv: 2401.04391 · arxiv_version: 2401.04391v4 · doi: 10.48550/arxiv.2401.04391 · pith_short_12: CAFY4ZQHBQD4 · pith_short_16: CAFY4ZQHBQD4BEQ5 · pith_short_8: CAFY4ZQH

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/CAFY4ZQHBQD4BEQ5225QWR34QC \
  | 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: 100b8e66070c07c0921dd6bb0b477c808acb3376d1cd7698babb48c602a415f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ebd1992bed041469b5c2ac3abeb29b2802dbec3e618d7fba11ff2897450a645",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-01-09T07:26:56Z",
    "title_canon_sha256": "f9c58ea92a2e8d8ee5e376f54c5bddefcc26abd891eee4bb5b3f5da0e13f752c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.04391",
    "kind": "arxiv",
    "version": 4
  }
}