Pith Number

pith:WSK3XUTC

pith:2018:WSK3XUTCBAWWAG44Z3VHMMIDNJ

not attested not anchored not stored refs pending

A view on Invariant Random Subgroups and Lattices

Tsachik Gelander

arxiv:1807.06979 v1 · 2018-07-18 · 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{WSK3XUTCBAWWAG44Z3VHMMIDNJ}

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	2026-05-18T00:10:25.179150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b495bbd262082d601b9cceea7631036a4f8de2fe82b914fa465802c8b046e653

Aliases

arxiv: 1807.06979 · arxiv_version: 1807.06979v1 · doi: 10.48550/arxiv.1807.06979 · pith_short_12: WSK3XUTCBAWW · pith_short_16: WSK3XUTCBAWWAG44 · pith_short_8: WSK3XUTC

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/WSK3XUTCBAWWAG44Z3VHMMIDNJ \
  | 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: b495bbd262082d601b9cceea7631036a4f8de2fe82b914fa465802c8b046e653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f1903fe60f2d3e9cb222649facda17bbaccb896380a477a24d019fb0d2fb9a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-07-18T14:46:22Z",
    "title_canon_sha256": "f953964deb3405e90c3e32ebab9a03a35e7ca5da870c0f904f75758ada0e0b35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06979",
    "kind": "arxiv",
    "version": 1
  }
}