Pith Number

pith:7J4KOC6D

pith:2023:7J4KOC6D5JR3CWMC7LD44QK7TS

not attested not anchored not stored refs pending

Automorphism groups of $\mathbb{P}^1$-bundles over geometrically ruled surfaces

Pascal Fong

arxiv:2310.19597 v5 · 2023-10-30 · 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{7J4KOC6D5JR3CWMC7LD44QK7TS}

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	2026-05-20T00:05:24.654011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa78a70bc3ea63b15982fac7ce415f9c88b5e4fc266e566f47ccf0ffb3f4a322

Aliases

arxiv: 2310.19597 · arxiv_version: 2310.19597v5 · doi: 10.48550/arxiv.2310.19597 · pith_short_12: 7J4KOC6D5JR3 · pith_short_16: 7J4KOC6D5JR3CWMC · pith_short_8: 7J4KOC6D

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/7J4KOC6D5JR3CWMC7LD44QK7TS \
  | 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: fa78a70bc3ea63b15982fac7ce415f9c88b5e4fc266e566f47ccf0ffb3f4a322

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ced21bdfe7b307d87945e115a2272a49ce0ea3f4ef789bc43cec631d11b0c45d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-10-30T14:54:17Z",
    "title_canon_sha256": "8ce739cf19c84e9815960769716333754b34842899ebe8806139301a5d956bff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.19597",
    "kind": "arxiv",
    "version": 5
  }
}