Pith Number

pith:T2OSQIJX

pith:2018:T2OSQIJX6MPUMMZSFUWTXR3DJ7

not attested not anchored not stored refs pending

On Zariski Multiplets of Branch Curves from Surfaces Isogenous to a Product

Matteo Penegini, Michael L\"onne

arxiv:1809.09854 v1 · 2018-09-26 · 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{T2OSQIJX6MPUMMZSFUWTXR3DJ7}

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	2026-05-18T00:04:43.458705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9d282137f31f4633322d2d3bc7634fcb9381d8bd7525674e6a7e13ac2c44b9

Aliases

arxiv: 1809.09854 · arxiv_version: 1809.09854v1 · doi: 10.48550/arxiv.1809.09854 · pith_short_12: T2OSQIJX6MPU · pith_short_16: T2OSQIJX6MPUMMZS · pith_short_8: T2OSQIJX

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/T2OSQIJX6MPUMMZSFUWTXR3DJ7 \
  | 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: 9e9d282137f31f4633322d2d3bc7634fcb9381d8bd7525674e6a7e13ac2c44b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "624912d31bfb98dfafe729936c45abc1f8bceec54568cc5f48cd4853be7c36aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-26T08:59:40Z",
    "title_canon_sha256": "ec2814689cec745c3d769c34fc705c7338718d8437edacbc013335a8c62d8c9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09854",
    "kind": "arxiv",
    "version": 1
  }
}