Pith. sign in
Pith Number

pith:5JD3BJLK

pith:2022:5JD3BJLKYA37VGNJBNB5P3N6E2
not attested not anchored not stored refs pending

Quasi-F-splittings in birational geometry

Fuetaro Yobuko, Hiromu Tanaka, Jakub Witaszek, Shou Yoshikawa, Tatsuro Kawakami, Teppei Takamatsu

arxiv:2208.08016 v2 · 2022-08-17 · math.AG · math.AC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5JD3BJLKYA37VGNJBNB5P3N6E2}

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

Receipt and verification
First computed 2026-07-05T09:15:05.403038Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ea47b0a56ac037fa99a90b43d7edbe26adb284b50a35882b2a812560ab67e838

Aliases

arxiv: 2208.08016 · arxiv_version: 2208.08016v2 · doi: 10.48550/arxiv.2208.08016 · pith_short_12: 5JD3BJLKYA37 · pith_short_16: 5JD3BJLKYA37VGNJ · pith_short_8: 5JD3BJLK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5JD3BJLKYA37VGNJBNB5P3N6E2 \
  | 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: ea47b0a56ac037fa99a90b43d7edbe26adb284b50a35882b2a812560ab67e838
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dedb7af25cd8b60d62f9d65c764ee4b8335e76480cfaf1e8a778eee0686e7406",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-08-17T01:46:47Z",
    "title_canon_sha256": "3b9922242c7df91b552543c59de395646424d9f67ddef9277e7af25b89a2d349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.08016",
    "kind": "arxiv",
    "version": 2
  }
}