Pith Number

pith:H2XEBN6W

pith:2026:H2XEBN6WPAZSTJ537HIVQ3OWJZ

not attested not anchored not stored refs pending

Centralizers of sofic approximations of Kazhdan groups

Andreas Thom, Vadim Alekseev

arxiv:2608.05362 v1 · 2026-08-05 · 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{H2XEBN6WPAZSTJ537HIVQ3OWJZ}

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.

Receipt and verification

First computed	2026-08-07T00:47:25.784435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eae40b7d6783329a7bbf9d1586dd64e6c02fce58a69a84c89000df015c49de2

Aliases

arxiv: 2608.05362 · arxiv_version: 2608.05362v1 · doi: 10.48550/arxiv.2608.05362 · pith_short_12: H2XEBN6WPAZS · pith_short_16: H2XEBN6WPAZSTJ53 · pith_short_8: H2XEBN6W

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/H2XEBN6WPAZSTJ537HIVQ3OWJZ \
  | 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: 3eae40b7d6783329a7bbf9d1586dd64e6c02fce58a69a84c89000df015c49de2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de2e90d9b9f7cac0f2e4946d8f2a19800f4dd7d053ec0932e20c437c594f1a0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-08-05T19:33:54Z",
    "title_canon_sha256": "2bdae1f6ba93d96a129b3cd6678b36d174ef15305a47e60ba0d0ae80a3dbc7f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05362",
    "kind": "arxiv",
    "version": 1
  }
}