Pith Number

pith:BIXASBE5

pith:2013:BIXASBE5TFNAYJ5NILJ7HHNP5J

not attested not anchored not stored refs pending

L^2-Betti numbers of locally compact groups and their cross section equivalence relations

David Kyed, Henrik Densing Petersen, Stefaan Vaes

arxiv:1302.6753 v1 · 2013-02-27 · 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{BIXASBE5TFNAYJ5NILJ7HHNP5J}

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	2026-05-18T02:18:31.794430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a2e09049d995a0c27ad42d3f39dafea563bc21621fe2a269e5d0be073373b31

Aliases

arxiv: 1302.6753 · arxiv_version: 1302.6753v1 · doi: 10.48550/arxiv.1302.6753 · pith_short_12: BIXASBE5TFNA · pith_short_16: BIXASBE5TFNAYJ5N · pith_short_8: BIXASBE5

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/BIXASBE5TFNAYJ5NILJ7HHNP5J \
  | 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: 0a2e09049d995a0c27ad42d3f39dafea563bc21621fe2a269e5d0be073373b31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9496ad038d6f533b76d5d270a3a9ecf77536ba4aa756a95c0b38bbaa8744af60",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-27T12:58:40Z",
    "title_canon_sha256": "b82f4a21c9e7270c3afde6b142ea98e4bd1829a01c7f1b385f6a5ed9743a96d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6753",
    "kind": "arxiv",
    "version": 1
  }
}