Pith Number

pith:LEPN677I

pith:2010:LEPN677IBLJWL75EJVY6HTFOWN

not attested not anchored not stored refs pending

Free Lamplighter Groups and a Question of Atiyah

Franz Lehner, Stephan Wagner

arxiv:1005.2347 v2 · 2010-05-13 · math.GR · math.CO · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEPN677IBLJWL75EJVY6HTFOWN}

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	2026-05-18T02:45:21.793674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591edf7fe80ad365ffa44d71e3ccaeb3672cb34683344ebf5b68162af2334d5f

Aliases

arxiv: 1005.2347 · arxiv_version: 1005.2347v2 · doi: 10.48550/arxiv.1005.2347 · pith_short_12: LEPN677IBLJW · pith_short_16: LEPN677IBLJWL75E · pith_short_8: LEPN677I

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/LEPN677IBLJWL75EJVY6HTFOWN \
  | 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: 591edf7fe80ad365ffa44d71e3ccaeb3672cb34683344ebf5b68162af2334d5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2479fb4bcb4f6ec7f40149ac1e86acca9edfa5da5b774ee5cda05f3960069f8a",
    "cross_cats_sorted": [
      "math.CO",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-05-13T15:33:42Z",
    "title_canon_sha256": "27427b688ab9e5fdd598f449e16550e95cb6b1afea74ab87f2caa31f38ad390c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2347",
    "kind": "arxiv",
    "version": 2
  }
}