Pith Number

pith:YBLUCEWB

pith:2026:YBLUCEWBVG6NER6VPJS4QHKQGQ

not attested not anchored not stored refs pending

Non-symplectic Indices of Automorphism Groups of Smooth Cubic Fourfolds

Jie Fu, Shihao Wang, Zhiwei Zheng

arxiv:2606.11754 v1 · 2026-06-10 · math.AG · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBLUCEWBVG6NER6VPJS4QHKQGQ}

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	2026-06-11T01:10:06.263125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0574112c1a9bcd247d57a65c81d503415bc0d1d0649e6da11940eb0bd24d1d4

Aliases

arxiv: 2606.11754 · arxiv_version: 2606.11754v1 · doi: 10.48550/arxiv.2606.11754 · pith_short_12: YBLUCEWBVG6N · pith_short_16: YBLUCEWBVG6NER6V · pith_short_8: YBLUCEWB

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/YBLUCEWBVG6NER6VPJS4QHKQGQ \
  | 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: c0574112c1a9bcd247d57a65c81d503415bc0d1d0649e6da11940eb0bd24d1d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57d7cfa725d1e651a181092c68bdd1448179074c7a4577980b00015749b1379",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-10T07:27:59Z",
    "title_canon_sha256": "e763b289a6125a6547ff875367b607ca169eadc5532b6d38ee8d426bf556d7d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11754",
    "kind": "arxiv",
    "version": 1
  }
}