Pith Number

pith:LPGG5FFS

pith:2009:LPGG5FFSI4DPLTJT4DAD5GLGOK

not attested not anchored not stored refs pending

Perfect Matchings as IID Factors on Non-Amenable Groups

Fedor Nazarov, Russell Lyons

arxiv:0911.0092 v3 · 2009-10-31 · math.PR · math.CO · 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{LPGG5FFSI4DPLTJT4DAD5GLGOK}

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	2026-05-18T04:12:55.126168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bcc6e94b24706f5cd33e0c03e9966728e5f5dc2844142a238ac055b09d0a455

Aliases

arxiv: 0911.0092 · arxiv_version: 0911.0092v3 · doi: 10.48550/arxiv.0911.0092 · pith_short_12: LPGG5FFSI4DP · pith_short_16: LPGG5FFSI4DPLTJT · pith_short_8: LPGG5FFS

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/LPGG5FFSI4DPLTJT4DAD5GLGOK \
  | 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: 5bcc6e94b24706f5cd33e0c03e9966728e5f5dc2844142a238ac055b09d0a455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e4fd6eb50fea48bd3c783779668150348f65a893c63b6d15c00ebd9dee5510",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-31T16:25:51Z",
    "title_canon_sha256": "fc1ca3dc2ec55bceda3e72c7e8fc2b87f67e548ebeaa28006f3e1f806e29ab0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0092",
    "kind": "arxiv",
    "version": 3
  }
}