Pith Number

pith:GG7KVQMP

pith:2026:GG7KVQMPH4X5PCJ23LVRMMF3N5

not attested not anchored not stored refs pending

A torsion-free non-sofic group

Francesco Fournier-Facio

arxiv:2608.02025 v1 · 2026-08-03 · 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{GG7KVQMPH4X5PCJ23LVRMMF3N5}

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

Nonsofic wreath products of residually finite groups

Receipt and verification

First computed	2026-08-04T02:10:31.743420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31beaac18f3f2fd7893adaeb1630bb6f40bd47ec5373d2581125d4f87db827ef

Aliases

arxiv: 2608.02025 · arxiv_version: 2608.02025v1 · doi: 10.48550/arxiv.2608.02025 · pith_short_12: GG7KVQMPH4X5 · pith_short_16: GG7KVQMPH4X5PCJ2 · pith_short_8: GG7KVQMP

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/GG7KVQMPH4X5PCJ23LVRMMF3N5 \
  | 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: 31beaac18f3f2fd7893adaeb1630bb6f40bd47ec5373d2581125d4f87db827ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f11a4c9fc2196a583d0f17cffec46d51855df794b6a33a8c4ec3f6c98d3130",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-08-03T10:23:43Z",
    "title_canon_sha256": "239bc8be6fe6e07d8042459efb9e520484dc99085b821c0b09549804ea27eb08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02025",
    "kind": "arxiv",
    "version": 1
  }
}