Pith Number

pith:OA462WQX

pith:2010:OA462WQXI4OXMZJLCRVWKLSQYA

not attested not anchored not stored refs pending

Normal subgroups in the Cremona group (long version)

Serge Cantat, St\'ephane Lamy

arxiv:1007.0895 v2 · 2010-07-06 · 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{OA462WQXI4OXMZJLCRVWKLSQYA}

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	2026-05-18T00:17:55.870517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7039ed5a17471d76652b146b652e50c01507e838c89d5283ca83c2edbc9e592b

Aliases

arxiv: 1007.0895 · arxiv_version: 1007.0895v2 · doi: 10.48550/arxiv.1007.0895 · pith_short_12: OA462WQXI4OX · pith_short_16: OA462WQXI4OXMZJL · pith_short_8: OA462WQX

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/OA462WQXI4OXMZJLCRVWKLSQYA \
  | 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: 7039ed5a17471d76652b146b652e50c01507e838c89d5283ca83c2edbc9e592b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b482925054352b3d2f9a0f4bbd1fa7aef80e46a267c8c95bca9793d13ffbf6d0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-06T13:56:27Z",
    "title_canon_sha256": "ccaa23d65d824cb3e9f420efca574117f78e02a9149624d5e516b85ee4c239dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0895",
    "kind": "arxiv",
    "version": 2
  }
}