Pith Number

pith:NOZPV72D

pith:2022:NOZPV72D73UYU5Y5VDWJQ2INYG

not attested not anchored not stored refs pending

Generalised Baumslag-Solitar groups and Hierarchically Hyperbolic Groups

J.O.Button

arxiv:2208.12688 v2 · 2022-08-26 · 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{NOZPV72D73UYU5Y5VDWJQ2INYG}

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

Boundary actions of Bass-Serre Trees and the applications to $C^*$-algebras

Receipt and verification

First computed	2026-07-05T11:58:15.552132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bb2faff43fee98a771da8ec98690dc198aef4fb0cbc24b7fcd39948da6950a5

Aliases

arxiv: 2208.12688 · arxiv_version: 2208.12688v2 · doi: 10.48550/arxiv.2208.12688 · pith_short_12: NOZPV72D73UY · pith_short_16: NOZPV72D73UYU5Y5 · pith_short_8: NOZPV72D

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/NOZPV72D73UYU5Y5VDWJQ2INYG \
  | 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: 6bb2faff43fee98a771da8ec98690dc198aef4fb0cbc24b7fcd39948da6950a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5646fc424c0ec14ea53424c96c511e44ff2e31847e742c13c9ce1a2693d4919",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-08-26T14:35:07Z",
    "title_canon_sha256": "93a1e3faa183cb1d6eb8cd73df42dfcfcb55202adbf4645a7d6c45a419e84f18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.12688",
    "kind": "arxiv",
    "version": 2
  }
}