Pith Number

pith:W3FM4B6P

pith:2025:W3FM4B6PAF2IHKJMJETWCN747M

not attested not anchored not stored refs pending

On K-stability of Fano's last Fanos

Alex K\"uronya, Alex Massarenti, Antonio Laface, Dongseon Hwang, Fr\'ed\'eric Mangolte, Ivan Cheltsov, Jihun Park, Junyan Zhao

arxiv:2507.08528 v2 · 2025-07-11 · 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{W3FM4B6PAF2IHKJMJETWCN747M}

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	2026-06-19T16:10:30.433321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6cace07cf017483a92c49276137fcfb2f5e098662176a0d485af2a198279d43

Aliases

arxiv: 2507.08528 · arxiv_version: 2507.08528v2 · doi: 10.48550/arxiv.2507.08528 · pith_short_12: W3FM4B6PAF2I · pith_short_16: W3FM4B6PAF2IHKJM · pith_short_8: W3FM4B6P

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/W3FM4B6PAF2IHKJMJETWCN747M \
  | 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: b6cace07cf017483a92c49276137fcfb2f5e098662176a0d485af2a198279d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9321797ea91a21a36413ab9cd76431ba0574b1b0f53077d2eb256cfc2277c4d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-11T12:26:02Z",
    "title_canon_sha256": "cbb1fbf969f525977c6defbc31cbcace46f7e4d88d0c89c490ddb88d35cef950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08528",
    "kind": "arxiv",
    "version": 2
  }
}