Pith Number

pith:4NSZXUUN

pith:2026:4NSZXUUNYGQEFSHAPQTPIIJTQ7

not attested not anchored not stored refs pending

Multi-welded twin groups

Mohamad N. Nasser, Oscar Ocampo

arxiv:2605.31298 v1 · 2026-05-29 · math.RT · 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{4NSZXUUNYGQEFSHAPQTPIIJTQ7}

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	2026-06-01T01:04:09.717557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3659bd28dc1a042c8e07c26f4213387d1aa36246f4b041cd456f7cd2e89b962

Aliases

arxiv: 2605.31298 · arxiv_version: 2605.31298v1 · doi: 10.48550/arxiv.2605.31298 · pith_short_12: 4NSZXUUNYGQE · pith_short_16: 4NSZXUUNYGQEFSHA · pith_short_8: 4NSZXUUN

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/4NSZXUUNYGQEFSHAPQTPIIJTQ7 \
  | 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: e3659bd28dc1a042c8e07c26f4213387d1aa36246f4b041cd456f7cd2e89b962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5ca757e803892f448c5fce3e29ad88c61b0889143cd75e1a42bf2be179333b7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-05-29T13:33:56Z",
    "title_canon_sha256": "0a0cd2774cb49c27deceea920b07c9a6d3f21455a950d818cb8325c793c7f4e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31298",
    "kind": "arxiv",
    "version": 1
  }
}