Pith Number

pith:RHAV2TBH

pith:2025:RHAV2TBHNAQK2I6YYM4VTP7A6Z

not attested not anchored not stored refs pending

Contracting elements and conjugacy growth in Coxeter groups, graph products, and further groups

Anthony Genevois, Laura Ciobanu

arxiv:2504.15636 v1 · 2025-04-22 · math.GR · math.CO · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RHAV2TBHNAQK2I6YYM4VTP7A6Z}

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.

Cited by

1 paper in Pith

Beyond graph products and cactus groups: quandle products of groups

Receipt and verification

First computed	2026-07-05T10:52:27.794499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89c15d4c276820ad23d8c33959bfe0f6795c00cfed129030aca7d35b7c36fda7

Aliases

arxiv: 2504.15636 · arxiv_version: 2504.15636v1 · doi: 10.48550/arxiv.2504.15636 · pith_short_12: RHAV2TBHNAQK · pith_short_16: RHAV2TBHNAQK2I6Y · pith_short_8: RHAV2TBH

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/RHAV2TBHNAQK2I6YYM4VTP7A6Z \
  | 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: 89c15d4c276820ad23d8c33959bfe0f6795c00cfed129030aca7d35b7c36fda7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae922ea37f97f59c2d0fd56065c31d2d26997ec05d57aa1a3f2d14e6b5afb11",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-04-22T06:56:05Z",
    "title_canon_sha256": "69415a4891497e5d9f63492a9834878ab21597d3d8bc76417fce0ca707c1050b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.15636",
    "kind": "arxiv",
    "version": 1
  }
}