Pith Number

pith:XUMRINEM

pith:2004:XUMRINEMJYXTVMWK34V2VVRKAM

not attested not anchored not stored refs pending

Hyperlinearity, essentially free actions and $L^2$-invariants. The sofic property

Endre Szab\'o, G\'abor Elek

arxiv:math/0408400 v2 · 2004-08-29 · 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{XUMRINEMJYXTVMWK34V2VVRKAM}

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

There Is An Equivalence Relation Whose von Neumann Algebra Is Not Connes Embeddable

Receipt and verification

First computed	2026-05-18T02:40:54.574498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd1914348c4e2f3ab2cadf2baad62a031d13bbb92533c7f3f8936bfafa159c06

Aliases

arxiv: math/0408400 · arxiv_version: math/0408400v2 · doi: 10.48550/arxiv.math/0408400 · pith_short_12: XUMRINEMJYXT · pith_short_16: XUMRINEMJYXTVMWK · pith_short_8: XUMRINEM

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/XUMRINEMJYXTVMWK34V2VVRKAM \
  | 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: bd1914348c4e2f3ab2cadf2baad62a031d13bbb92533c7f3f8936bfafa159c06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f288816b5074817e6c90d3dfcb5b3d4ca518775b3c941c994eb5515a815b0c85",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2004-08-29T19:24:47Z",
    "title_canon_sha256": "ba9ee81101f86eae29076dc96bcd0908236ef04ba922efc100f81330bfbbc3e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408400",
    "kind": "arxiv",
    "version": 2
  }
}