Pith Number

pith:WRU33AFC

pith:2019:WRU33AFCG374IIYYPFQNU7FL3J

not attested not anchored not stored refs pending

Openness of K-semistability for Fano varieties

Chenyang Xu, Harold Blum, Yuchen Liu

arxiv:1907.02408 v3 · 2019-07-04 · math.AG · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRU33AFCG374IIYYPFQNU7FL3J}

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	2026-07-05T03:27:24.032112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b469bd80a236ffc423187960da7cabda7f0934562e74255ad270d59ba3f0f65d

Aliases

arxiv: 1907.02408 · arxiv_version: 1907.02408v3 · doi: 10.48550/arxiv.1907.02408 · pith_short_12: WRU33AFCG374 · pith_short_16: WRU33AFCG374IIYY · pith_short_8: WRU33AFC

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/WRU33AFCG374IIYYPFQNU7FL3J \
  | 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: b469bd80a236ffc423187960da7cabda7f0934562e74255ad270d59ba3f0f65d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db8dce85e3d6de7beaa5dcd36a0ad73daaef3670583743246271571ff599cf8f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-04T14:03:37Z",
    "title_canon_sha256": "c92b4e0b404998d495c04a5e2285fa02aab2152250e19881b2a9a7ff97e5c275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02408",
    "kind": "arxiv",
    "version": 3
  }
}