Pith Number

pith:XHFEF2PA

pith:2022:XHFEF2PAO52YQSUPYYW7XYR3EF

not attested not anchored not stored refs pending

Residually finite non linear hyperbolic groups

Konstantinos Tsouvalas, Nicolas Tholozan

arxiv:2207.14356 v1 · 2022-07-28 · 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{XHFEF2PAO52YQSUPYYW7XYR3EF}

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

Residual Finiteness Growth in Two-Step Nilpotent Groups

Receipt and verification

First computed	2026-07-05T04:44:33.089125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9ca42e9e07775884a8fc62dfbe23b2155e0a16a0ea054313bc4ff4bd58b4674

Aliases

arxiv: 2207.14356 · arxiv_version: 2207.14356v1 · doi: 10.48550/arxiv.2207.14356 · pith_short_12: XHFEF2PAO52Y · pith_short_16: XHFEF2PAO52YQSUP · pith_short_8: XHFEF2PA

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/XHFEF2PAO52YQSUPYYW7XYR3EF \
  | 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: b9ca42e9e07775884a8fc62dfbe23b2155e0a16a0ea054313bc4ff4bd58b4674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "269da1b596e28203873dbff78b11790429d8f9ec3da4d52fcaffdda56cbe2247",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-07-28T19:23:39Z",
    "title_canon_sha256": "de9bb57ea271c0ae3cbe7e29193a774b8b224c66a57514b578b940f7cb827087"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.14356",
    "kind": "arxiv",
    "version": 1
  }
}