Pith Number

pith:UKSIHY6U

pith:2010:UKSIHY6UT3HRXRGDDPS2M55SMR

not attested not anchored not stored refs pending

Cluster Automorphisms

Ibrahim Assem, Ralf Schiffler, Vasilisa Shramchenko

arxiv:1009.0742 v2 · 2010-09-03 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKSIHY6UT3HRXRGDDPS2M55SMR}

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	2026-05-18T02:58:01.832885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2a483e3d49ecf1bc4c31be5a677b2646ad45aba5cf3c0a1cd72dd8528d07b09

Aliases

arxiv: 1009.0742 · arxiv_version: 1009.0742v2 · doi: 10.48550/arxiv.1009.0742 · pith_short_12: UKSIHY6UT3HR · pith_short_16: UKSIHY6UT3HRXRGD · pith_short_8: UKSIHY6U

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/UKSIHY6UT3HRXRGDDPS2M55SMR \
  | 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: a2a483e3d49ecf1bc4c31be5a677b2646ad45aba5cf3c0a1cd72dd8528d07b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ee819bf1baf4466cd6a19092e4af950e3a7f3dfb4f195967b20a033c29dff18",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-03T19:10:54Z",
    "title_canon_sha256": "6bdbcd2c778b5ffdd9cae261a541533568115d3f52cb71561b0d73ab55527d95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0742",
    "kind": "arxiv",
    "version": 2
  }
}