Pith Number

pith:7O72YLKE

pith:2025:7O72YLKEQHAHO7XVZBOO5LGVZL

not attested not anchored not stored refs pending

On the classification and irreducibility of $2$-local representations of the twin group $T_n$

Mohamad N. Nasser, Taher I. Mayassi

arxiv:2508.14505 v1 · 2025-08-20 · 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{7O72YLKEQHAHO7XVZBOO5LGVZL}

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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.

Cited by

2 papers in Pith

Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups

On Universal Virtual and Welded Braid Groups and Their Linear Representations

Receipt and verification

First computed	2026-07-05T11:56:33.217361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbbfac2d4481c0777ef5c85ceeacd5cafa7eb1d902bdac181461e5b7ca38741e

Aliases

arxiv: 2508.14505 · arxiv_version: 2508.14505v1 · doi: 10.48550/arxiv.2508.14505 · pith_short_12: 7O72YLKEQHAH · pith_short_16: 7O72YLKEQHAHO7XV · pith_short_8: 7O72YLKE

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/7O72YLKEQHAHO7XVZBOO5LGVZL \
  | 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: fbbfac2d4481c0777ef5c85ceeacd5cafa7eb1d902bdac181461e5b7ca38741e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa211f8e52054a8da9ca8023084308ea71cc9cded7577d743f1b400c822839c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-08-20T07:53:59Z",
    "title_canon_sha256": "1cf39d9664e980d323d7c2d11472dec64288e1e7f6bee5c1a9e7da70e1342bb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.14505",
    "kind": "arxiv",
    "version": 1
  }
}