Pith Number

pith:Q36C7HNG

pith:2025:Q36C7HNGX4F4G4NIIHI3HIOI5A

not attested not anchored not stored refs pending

Rational cubic fourfolds with a symplectic group of automorphisms

Claudio Pedrini

arxiv:2509.06817 v1 · 2025-09-08 · 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{Q36C7HNGX4F4G4NIIHI3HIOI5A}

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	2026-07-05T12:06:53.453835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86fc2f9da6bf0bc371a841d1b3a1c8e81520087ae833d04bf01504d8810e9524

Aliases

arxiv: 2509.06817 · arxiv_version: 2509.06817v1 · doi: 10.48550/arxiv.2509.06817 · pith_short_12: Q36C7HNGX4F4 · pith_short_16: Q36C7HNGX4F4G4NI · pith_short_8: Q36C7HNG

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/Q36C7HNGX4F4G4NIIHI3HIOI5A \
  | 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: 86fc2f9da6bf0bc371a841d1b3a1c8e81520087ae833d04bf01504d8810e9524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bef0b49868bd2830dedb6983aebf43f8bc19281e86f43c29c45c333ffd72b72b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-09-08T15:54:46Z",
    "title_canon_sha256": "70b907673f153980add3feae7a9aacd1a79ec42f4cfdac6c8bbd12b083447138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06817",
    "kind": "arxiv",
    "version": 1
  }
}