Pith Number

pith:O5ZOKWO7

pith:2006:O5ZOKWO7DHULCBD2RUORRZZRCC

not attested not anchored not stored refs pending

Twisted Burnside theorem for type II_1 groups: an example

Alexander Fel'shtyn, Anatoly Vershik, Evgenij Troitsky

arxiv:math/0606161 v1 · 2006-06-07 · math.RT · math.FA · math.GR · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5ZOKWO7DHULCBD2RUORRZZRCC}

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	2026-05-18T01:05:22.657548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7772e559df19e8b1047a8d1d18e731108efc5598c9b60c03daa445f6bfa14c02

Aliases

arxiv: math/0606161 · arxiv_version: math/0606161v1 · doi: 10.48550/arxiv.math/0606161 · pith_short_12: O5ZOKWO7DHUL · pith_short_16: O5ZOKWO7DHULCBD2 · pith_short_8: O5ZOKWO7

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/O5ZOKWO7DHULCBD2RUORRZZRCC \
  | 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: 7772e559df19e8b1047a8d1d18e731108efc5598c9b60c03daa445f6bfa14c02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33200e1212ad59caf2c39d0fa8c6046ddd65ea751cbb7b85c514ad35e5bd90f3",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR",
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2006-06-07T16:08:09Z",
    "title_canon_sha256": "1ff6c1ed0fedb59ce9dba3587e1e50391c1c74a3f7b39e2e79843b00fa48b5b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606161",
    "kind": "arxiv",
    "version": 1
  }
}