Pith Number

pith:RWDLWHHY

pith:2012:RWDLWHHYA3YXTA5TI4QP6KOC5W

not attested not anchored not stored refs pending

On the lattice of subgroups of the lamplighter group

Rostislav Grigorchuk, Rostyslav Kravchenko

arxiv:1203.5800 v1 · 2012-03-26 · 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{RWDLWHHYA3YXTA5TI4QP6KOC5W}

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	2026-05-18T03:59:13.400167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d86bb1cf806f17983b34720ff29c2edb58b4639c674d20e8eac1c12d17b6cb9

Aliases

arxiv: 1203.5800 · arxiv_version: 1203.5800v1 · doi: 10.48550/arxiv.1203.5800 · pith_short_12: RWDLWHHYA3YX · pith_short_16: RWDLWHHYA3YXTA5T · pith_short_8: RWDLWHHY

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/RWDLWHHYA3YXTA5TI4QP6KOC5W \
  | 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: 8d86bb1cf806f17983b34720ff29c2edb58b4639c674d20e8eac1c12d17b6cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f8ac010ef07206434ca2138c480194d53381cf4ab452a7fb28c65d98ffef5f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-03-26T20:02:07Z",
    "title_canon_sha256": "b3dab9e57dcf15855492afbadd0e85047a02ed1f550bb90960ee4b65ab70bd22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5800",
    "kind": "arxiv",
    "version": 1
  }
}