Pith Number

pith:5QQACPNL

pith:2024:5QQACPNLHFIND4LDBUDNCSCG7E

not attested not anchored not stored refs pending

The moduli space of genus $8$ Fano $3$-folds with two $\frac12(1,1,1)$-points: rationality and K-stability

Alex Massarenti, Francesco Zucconi, Joseph Malbon

arxiv:2408.13080 v2 · 2024-08-23 · 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{5QQACPNLHFIND4LDBUDNCSCG7E}

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	2026-06-19T16:10:52.855656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec20013dab3950d1f1630d06d14846f9075c5478ee560fe780ae4c6c507b0540

Aliases

arxiv: 2408.13080 · arxiv_version: 2408.13080v2 · doi: 10.48550/arxiv.2408.13080 · pith_short_12: 5QQACPNLHFIN · pith_short_16: 5QQACPNLHFIND4LD · pith_short_8: 5QQACPNL

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/5QQACPNLHFIND4LDBUDNCSCG7E \
  | 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: ec20013dab3950d1f1630d06d14846f9075c5478ee560fe780ae4c6c507b0540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42e8f6385716b1a4579fa8b7a66ff4dedf79fc2995562cd149fd59cedd419f76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-08-23T14:03:20Z",
    "title_canon_sha256": "5257df7349c7754678d6284dd51332a3cea8bf04c98054d37b5e13ab55453cfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.13080",
    "kind": "arxiv",
    "version": 2
  }
}