Pith Number

pith:W6LTPIGC

pith:2016:W6LTPIGCRRPAZOBZMER544GULS

not attested not anchored not stored refs pending

On sofic approximations of Property (T) groups

Gabor Kun

arxiv:1606.04471 v5 · 2016-06-13 · math.CO · 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{W6LTPIGCRRPAZOBZMER544GULS}

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	2026-07-04T23:50:10.276074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b79737a0c28c5e0cb8396123de70d45ca0bbff6d182682ebcd9985ccd5a55760

Aliases

arxiv: 1606.04471 · arxiv_version: 1606.04471v5 · doi: 10.48550/arxiv.1606.04471 · pith_short_12: W6LTPIGCRRPA · pith_short_16: W6LTPIGCRRPAZOBZ · pith_short_8: W6LTPIGC

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/W6LTPIGCRRPAZOBZMER544GULS \
  | 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: b79737a0c28c5e0cb8396123de70d45ca0bbff6d182682ebcd9985ccd5a55760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceb3bd15c9b344cbbda35fa90089317fb871bd0ab4eff649ce79ce520c82cb03",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-13T15:26:32Z",
    "title_canon_sha256": "c574d1e5815a5259ef3a8a2ca943439f6bfc9eef5a3aa91c3cbeef6d71e0e15d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04471",
    "kind": "arxiv",
    "version": 5
  }
}