Pith Number

pith:2LLBIFZH

pith:2026:2LLBIFZHGM23IZMGPQF2YOBS77

not attested not anchored not stored refs pending

Complex Representations of Groups and Involutions of its Automorphisms

Ajay Kumar Shukla, Rahul Dixit, Venkata Subbaiah Yerrapati

arxiv:2605.23195 v1 · 2026-05-22 · math.RT · math.CO · 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{2LLBIFZHGM23IZMGPQF2YOBS77}

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	2026-05-25T02:01:42.560277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2d61417273335b465867c0bac3832ffcd870df6cb500448bf93677cbc70354d

Aliases

arxiv: 2605.23195 · arxiv_version: 2605.23195v1 · doi: 10.48550/arxiv.2605.23195 · pith_short_12: 2LLBIFZHGM23 · pith_short_16: 2LLBIFZHGM23IZMG · pith_short_8: 2LLBIFZH

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/2LLBIFZHGM23IZMGPQF2YOBS77 \
  | 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: d2d61417273335b465867c0bac3832ffcd870df6cb500448bf93677cbc70354d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67286f49022eec1ad75edd1def550b5f73fce8a9664ba88aee4ed8be0444a0c8",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-05-22T03:27:13Z",
    "title_canon_sha256": "2fd011acd78979ff893a26b57c4dc9555e3213786cb471e337bc5baa65fa257d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23195",
    "kind": "arxiv",
    "version": 1
  }
}