Pith Number

pith:7HAXA2I3

pith:2024:7HAXA2I32ZCTLWX4B7XHXKBKEX

not attested not anchored not stored refs pending

Dyer groups: Centres, hyperbolicity, and acylindrical hyperbolicity

Mireille Soergel, Nicolas Vaskou

arxiv:2410.22464 v1 · 2024-10-29 · 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{7HAXA2I32ZCTLWX4B7XHXKBKEX}

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

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

Receipt and verification

First computed	2026-07-05T09:28:16.997750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9c170691bd64535dafc0fee7ba82a25d086070e63e2c7fca3c883d7e626e985

Aliases

arxiv: 2410.22464 · arxiv_version: 2410.22464v1 · doi: 10.48550/arxiv.2410.22464 · pith_short_12: 7HAXA2I32ZCT · pith_short_16: 7HAXA2I32ZCTLWX4 · pith_short_8: 7HAXA2I3

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/7HAXA2I32ZCTLWX4B7XHXKBKEX \
  | 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: f9c170691bd64535dafc0fee7ba82a25d086070e63e2c7fca3c883d7e626e985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6950c23b04c481f8654c342e861f198ba849768c6c57224288c31572a5a4d137",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-10-29T18:59:55Z",
    "title_canon_sha256": "8da4c714630479c6f7c34673ad5d072c5e6ec7bb5c5ea889870ada6b71d4d92d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.22464",
    "kind": "arxiv",
    "version": 1
  }
}