Pith Number

pith:KZEJYUOI

pith:2024:KZEJYUOI5ZHX5BV2C5SF24CISM

not attested not anchored not stored refs pending

K-stability of pointless del Pezzo surfaces and Fano 3-folds

Frederic Mangolte, Hamid Abban, Ivan Cheltsov, Takashi Kishimoto

arxiv:2411.00767 v1 · 2024-11-01 · 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{KZEJYUOI5ZHX5BV2C5SF24CISM}

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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

On K-stability of Fano's last Fanos

Receipt and verification

First computed	2026-07-05T09:29:48.018832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56489c51c8ee4f7e86ba17645d7048931fbfbf7708744707da3f5af75b71d3b2

Aliases

arxiv: 2411.00767 · arxiv_version: 2411.00767v1 · doi: 10.48550/arxiv.2411.00767 · pith_short_12: KZEJYUOI5ZHX · pith_short_16: KZEJYUOI5ZHX5BV2 · pith_short_8: KZEJYUOI

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/KZEJYUOI5ZHX5BV2C5SF24CISM \
  | 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: 56489c51c8ee4f7e86ba17645d7048931fbfbf7708744707da3f5af75b71d3b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d94c3ea9739fc7268ddc40d216a2a6566e420978ea6c089ed23334d1739c55bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-11-01T17:58:26Z",
    "title_canon_sha256": "98b02b16bb6111759f1481c87ad7c6d812cd7eb2dbddebdc9d5b127fdc12ee81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.00767",
    "kind": "arxiv",
    "version": 1
  }
}