Pith Number

pith:YF7KR3JN

pith:2026:YF7KR3JNEQTBVAXGY3LBXKNZXX

not attested not anchored not stored refs pending

Open problems in K-stability of Fano varieties

Chenyang Xu, Ziquan Zhuang

arxiv:2601.15576 v2 · 2026-01-22 · 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{YF7KR3JNEQTBVAXGY3LBXKNZXX}

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	2026-06-02T03:05:04.661678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c17ea8ed2d24261a82e6c6d61ba9b9bdea84eaa4204e1419f104053b2c6d0212

Aliases

arxiv: 2601.15576 · arxiv_version: 2601.15576v2 · doi: 10.48550/arxiv.2601.15576 · pith_short_12: YF7KR3JNEQTB · pith_short_16: YF7KR3JNEQTBVAXG · pith_short_8: YF7KR3JN

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/YF7KR3JNEQTBVAXGY3LBXKNZXX \
  | 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: c17ea8ed2d24261a82e6c6d61ba9b9bdea84eaa4204e1419f104053b2c6d0212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d85d78512c0b5f034fccb1cf7b852fd279c1053227795516e4d590334da9734a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-01-22T01:47:23Z",
    "title_canon_sha256": "aaee5a20c9063745b43e6ac415fdff3ee85e235b05b208003767af609a6d4602"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.15576",
    "kind": "arxiv",
    "version": 2
  }
}