Pith Number

pith:Q7ISIJHH

pith:2012:Q7ISIJHHQS7KA5OR5N2OBRXE2D

not attested not anchored not stored refs pending

Conjugacy action, induced representations and the Steinberg square for simple groups of Lie type

Alexandre E. Zalesski, Gerhard Heide, Jan Saxl, Pham Huu Tiep

arxiv:1209.1768 v1 · 2012-09-09 · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7ISIJHHQS7KA5OR5N2OBRXE2D}

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	2026-05-18T02:57:53.288831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d12424e784bea075d1eb74e0c6e4d0f03a898f829e4845ee69d5e6e8af186b

Aliases

arxiv: 1209.1768 · arxiv_version: 1209.1768v1 · doi: 10.48550/arxiv.1209.1768 · pith_short_12: Q7ISIJHHQS7K · pith_short_16: Q7ISIJHHQS7KA5OR · pith_short_8: Q7ISIJHH

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/Q7ISIJHHQS7KA5OR5N2OBRXE2D \
  | 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: 87d12424e784bea075d1eb74e0c6e4d0f03a898f829e4845ee69d5e6e8af186b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10ae2d3cfddd1fc8567ce4ee4e34eb67b425b845dd5a9e115b9c465049b42bde",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-09-09T01:50:51Z",
    "title_canon_sha256": "1f83b92cb05af27379ba8d9ba94429c99db0f1ed21d5b560d31c22800ea0e424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1768",
    "kind": "arxiv",
    "version": 1
  }
}