Pith Number

pith:4UQCXYL5

pith:2025:4UQCXYL5P6TPE5X44424RAIUNL

not attested not anchored not stored refs pending

Dimensions of finitely generated simple groups and their subgroups

Bin Sun, Francesco Fournier-Facio

arxiv:2503.01987 v3 · 2025-03-03 · 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{4UQCXYL5P6TPE5X44424RAIUNL}

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

2 papers in Pith

Kazhdan groups of dimension $16$ with prescribed second $\ell^2$-Betti number

Almost planar finitely presented groups

Receipt and verification

First computed	2026-07-05T10:47:36.238437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5202be17d7fa6f276fce735c881146aedcaf37dc1d21c549ea66625e7680091

Aliases

arxiv: 2503.01987 · arxiv_version: 2503.01987v3 · doi: 10.48550/arxiv.2503.01987 · pith_short_12: 4UQCXYL5P6TP · pith_short_16: 4UQCXYL5P6TPE5X4 · pith_short_8: 4UQCXYL5

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/4UQCXYL5P6TPE5X44424RAIUNL \
  | 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: e5202be17d7fa6f276fce735c881146aedcaf37dc1d21c549ea66625e7680091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94a4805d9974c06c986a0282caacc232e144b905555e3bdae18f14809cfc4f01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-03-03T19:05:51Z",
    "title_canon_sha256": "647f9e11fc72270e71a249f6c08a42abe552b8fa0ed650b271efadd528713739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.01987",
    "kind": "arxiv",
    "version": 3
  }
}