Pith Number

pith:ZY2VGIZO

pith:2025:ZY2VGIZO42SVFZGU4NWJ5HMAQ3

not attested not anchored not stored refs pending

K-stability of Fano 3-folds in the World of Null-A

Frederic Mangolte, Hamid Abban, Ivan Cheltsov, Takashi Kishimoto

arxiv:2505.04330 v1 · 2025-05-07 · 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{ZY2VGIZO42SVFZGU4NWJ5HMAQ3}

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

Amitsur groups of primitive Fano threefolds

Receipt and verification

First computed	2026-07-05T10:59:40.191108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce3553232ee6a552e4d4e36c9e9d8086ebaa46c198a1a110aa0b1ae1d4786afd

Aliases

arxiv: 2505.04330 · arxiv_version: 2505.04330v1 · doi: 10.48550/arxiv.2505.04330 · pith_short_12: ZY2VGIZO42SV · pith_short_16: ZY2VGIZO42SVFZGU · pith_short_8: ZY2VGIZO

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/ZY2VGIZO42SVFZGU4NWJ5HMAQ3 \
  | 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: ce3553232ee6a552e4d4e36c9e9d8086ebaa46c198a1a110aa0b1ae1d4786afd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1590df37904986caa3f3fef38375b72766058429f34cdcd71bb79a860df87145",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-05-07T11:26:00Z",
    "title_canon_sha256": "82f6cab4dbbdb0352168901d3856b06ddc4e361f906b578c8af8a39c0d272ea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04330",
    "kind": "arxiv",
    "version": 1
  }
}