Pith Number

pith:AK2FH5NK

pith:2017:AK2FH5NKUB7VL7DJL6LAGXUDTM

not attested not anchored not stored refs pending

Locally compact groups whose ergodic or minimal actions are all free

Adrien Le Boudec, Nicolas Matte Bon

arxiv:1709.06733 v2 · 2017-09-20 · math.GR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AK2FH5NKUB7VL7DJL6LAGXUDTM}

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	2026-05-18T00:11:57.927820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02b453f5aaa07f55fc695f96035e839b1b792b8a4aa81e1848e0fc48b698a9be

Aliases

arxiv: 1709.06733 · arxiv_version: 1709.06733v2 · doi: 10.48550/arxiv.1709.06733 · pith_short_12: AK2FH5NKUB7V · pith_short_16: AK2FH5NKUB7VL7DJ · pith_short_8: AK2FH5NK

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/AK2FH5NKUB7VL7DJL6LAGXUDTM \
  | 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: 02b453f5aaa07f55fc695f96035e839b1b792b8a4aa81e1848e0fc48b698a9be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb7f5364a8bde2f2b5db781fdd9bdca43467c7e98234ac0b05d09ff7cf97a7f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-20T06:16:47Z",
    "title_canon_sha256": "d47beb72fc2251316888bf15027a906b24a3e0a5cb2b23781be9b09074d75530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06733",
    "kind": "arxiv",
    "version": 2
  }
}