Pith Number

pith:DURX4X2V

pith:2015:DURX4X2VNPIVLNC3FJWZ55PY5F

not attested not anchored not stored refs pending

Kazhdan-Margulis theorem for Invariant Random Subgroups

Tsachik Gelander

arxiv:1510.05423 v4 · 2015-10-19 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DURX4X2VNPIVLNC3FJWZ55PY5F}

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	2026-05-18T00:42:13.500530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d237e5f556bd155b45b2a6d9ef5f8e94439fa176051162e9b068a00f0e12fb6

Aliases

arxiv: 1510.05423 · arxiv_version: 1510.05423v4 · doi: 10.48550/arxiv.1510.05423 · pith_short_12: DURX4X2VNPIV · pith_short_16: DURX4X2VNPIVLNC3 · pith_short_8: DURX4X2V

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/DURX4X2VNPIVLNC3FJWZ55PY5F \
  | 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: 1d237e5f556bd155b45b2a6d9ef5f8e94439fa176051162e9b068a00f0e12fb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc64a746f128ed712e6dab6274229b3b22f3e70653499d22fb83ddcf36349442",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-19T11:04:24Z",
    "title_canon_sha256": "0d02c0cc2ad4909ae7b50dc34f8d66c71d58802c0d464ade89d4e0f54c0ac1a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05423",
    "kind": "arxiv",
    "version": 4
  }
}