Pith Number

pith:OD56MGDW

pith:2014:OD56MGDWPLR6U7DL6H2HLKTHI3

not attested not anchored not stored refs pending

Invariant random subgroups of linear groups

Tsachik Gelander, Yair Glasner

arxiv:1407.2872 v3 · 2014-07-10 · 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{OD56MGDWPLR6U7DL6H2HLKTHI3}

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	2026-05-18T01:22:10.602973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70fbe618767ae3ea7c6bf1f475aa6746cccbd90c0e69dfda822f46eaa98adac8

Aliases

arxiv: 1407.2872 · arxiv_version: 1407.2872v3 · doi: 10.48550/arxiv.1407.2872 · pith_short_12: OD56MGDWPLR6 · pith_short_16: OD56MGDWPLR6U7DL · pith_short_8: OD56MGDW

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/OD56MGDWPLR6U7DL6H2HLKTHI3 \
  | 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: 70fbe618767ae3ea7c6bf1f475aa6746cccbd90c0e69dfda822f46eaa98adac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c878c82aad0c4c2a6ed883f1bf2a26f15360d22e9142909aa710c4f17c70496c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-10T17:33:40Z",
    "title_canon_sha256": "064bbc482733cd3ff4733653cb04ebae8aaf1122fb0535439bd8858b9d44435e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2872",
    "kind": "arxiv",
    "version": 3
  }
}