Pith Number

pith:VKPGWZCH

pith:2012:VKPGWZCHAHFBSFAD6TRHYN7ECS

not attested not anchored not stored refs pending

Families of Group Actions, Generic Isotriviality, and Linearization

Hanspeter Kraft, Peter Russell

arxiv:1204.3196 v1 · 2012-04-14 · math.RT · 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{VKPGWZCHAHFBSFAD6TRHYN7ECS}

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	2026-05-18T03:57:52.297512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa9e6b644701ca191403f4e27c37e414bd582c23c6a43634d87a153d58b9ce98

Aliases

arxiv: 1204.3196 · arxiv_version: 1204.3196v1 · doi: 10.48550/arxiv.1204.3196 · pith_short_12: VKPGWZCHAHFB · pith_short_16: VKPGWZCHAHFBSFAD · pith_short_8: VKPGWZCH

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/VKPGWZCHAHFBSFAD6TRHYN7ECS \
  | 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: aa9e6b644701ca191403f4e27c37e414bd582c23c6a43634d87a153d58b9ce98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73c03b786c18f7d5fc721e0e9a5c5ac8cb12a1764d3fdae46eac0c4d98dd9d0d",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-04-14T19:02:20Z",
    "title_canon_sha256": "c97c61c20ff46561bbfb5f963929cb2ee9365e91a05b76448992a07acaa8d318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3196",
    "kind": "arxiv",
    "version": 1
  }
}