Pith Number

pith:CSCY4GDM

pith:2026:CSCY4GDM5XA3TDRHCF67XPTUYY

not attested not anchored not stored refs pending

On rational representations and rational group algebra of $\operatorname{GL}_2(q)$

Ram Karan Choudhary, Sunil Kumar Prajapati

arxiv:2606.02415 v1 · 2026-06-01 · math.RT · math.CO · math.GR · 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{CSCY4GDM5XA3TDRHCF67XPTUYY}

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	2026-06-02T03:04:58.577365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14858e186cedc1b98e27117dfbbe74c6166738613e7d43d3ab7fe83086587eb4

Aliases

arxiv: 2606.02415 · arxiv_version: 2606.02415v1 · doi: 10.48550/arxiv.2606.02415 · pith_short_12: CSCY4GDM5XA3 · pith_short_16: CSCY4GDM5XA3TDRH · pith_short_8: CSCY4GDM

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/CSCY4GDM5XA3TDRHCF67XPTUYY \
  | 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: 14858e186cedc1b98e27117dfbbe74c6166738613e7d43d3ab7fe83086587eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c2cdcc4934b2af8fb6c09a8504edcd7296d6751a6dc13c6dabec85dbcd645b5",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-01T15:57:38Z",
    "title_canon_sha256": "8f00a044a14cf1a4c320fe2645081c58f4ba21c4f554e1d1fd9343984a0963f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02415",
    "kind": "arxiv",
    "version": 1
  }
}