Pith Number

pith:ZVHRLEHW

pith:2025:ZVHRLEHWDQ36DLCWFYX2VRM7LN

not attested not anchored not stored refs pending

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$

Madeti Prabhakar, Mohamad N. Nasser, Vaibhav Keshari

arxiv:2508.04168 v1 · 2025-08-06 · math.RT · math.GN

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\usepackage{pith}
\pithnumber{ZVHRLEHWDQ36DLCWFYX2VRM7LN}

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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

3 papers in Pith

Multi-welded twin groups

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	2026-07-05T11:49:21.904667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd4f1590f61c37e1ac562e2faac59f5b4f25ebe2134a7b86eca3d8e251087cb2

Aliases

arxiv: 2508.04168 · arxiv_version: 2508.04168v1 · doi: 10.48550/arxiv.2508.04168 · pith_short_12: ZVHRLEHWDQ36 · pith_short_16: ZVHRLEHWDQ36DLCW · pith_short_8: ZVHRLEHW

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/ZVHRLEHWDQ36DLCWFYX2VRM7LN \
  | 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: cd4f1590f61c37e1ac562e2faac59f5b4f25ebe2134a7b86eca3d8e251087cb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9180c6b0d62a72a7788967a61d306c2a4eb89afce81dd4975a32a6b5c62f5269",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-08-06T07:48:29Z",
    "title_canon_sha256": "42ffb02393a978aa1725ec1b7c7129dce18d24611f633b9ada2cacfb848060a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.04168",
    "kind": "arxiv",
    "version": 1
  }
}