Pith Number

pith:QQJMTBZJ

pith:2018:QQJMTBZJAPRDO3ACRIZ2JX3AAY

not attested not anchored not stored refs pending

Uniqueness of K-polystable degenerations of Fano varieties

Chenyang Xu, Harold Blum

arxiv:1812.03538 v2 · 2018-12-09 · 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{QQJMTBZJAPRDO3ACRIZ2JX3AAY}

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	2026-05-17T23:41:12.484238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8412c9872903e2376c028a33a4df600622fa7711b9fe906a9adb74a51c4364d4

Aliases

arxiv: 1812.03538 · arxiv_version: 1812.03538v2 · doi: 10.48550/arxiv.1812.03538 · pith_short_12: QQJMTBZJAPRD · pith_short_16: QQJMTBZJAPRDO3AC · pith_short_8: QQJMTBZJ

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/QQJMTBZJAPRDO3ACRIZ2JX3AAY \
  | 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: 8412c9872903e2376c028a33a4df600622fa7711b9fe906a9adb74a51c4364d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b2c41e799e7f96a7a197978d7fd6f6e1a248a1943061b8f299af9b26f21cca2",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-12-09T18:20:27Z",
    "title_canon_sha256": "41541bd10e56149d98cc17293a46e53730cce201360fd7e99517786bcb47dbe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03538",
    "kind": "arxiv",
    "version": 2
  }
}