Pith Number

pith:2AJIGQRI

pith:2002:2AJIGQRIDNNHXWFTV7BAR7NYTP

not attested not anchored not stored refs pending

The Ore condition, affiliated operators, and the lamplighter group

Peter Linnell (Virginia Tech), Thomas Schick (Goettingen), Wolfgang Lueck (Muenster)

arxiv:math/0202027 v2 · 2002-02-04 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AJIGQRIDNNHXWFTV7BAR7NYTP}

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	2026-05-17T23:59:44.909726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0128342281b5a7bd8b3afc208fdb89bc4d1d071c122b19cb92c57fd72d5635f

Aliases

arxiv: math/0202027 · arxiv_version: math/0202027v2 · doi: 10.48550/arxiv.math/0202027 · pith_short_12: 2AJIGQRIDNNH · pith_short_16: 2AJIGQRIDNNHXWFT · pith_short_8: 2AJIGQRI

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/2AJIGQRIDNNHXWFTV7BAR7NYTP \
  | 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: d0128342281b5a7bd8b3afc208fdb89bc4d1d071c122b19cb92c57fd72d5635f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26a33dfb50b7b9a4eaba5895da067559e92c746d70b7a10bdf2544a55dc13478",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2002-02-04T16:20:33Z",
    "title_canon_sha256": "a919beb5e99449ff24dc6e26bba25bc4aca1ade1fd31d80ce94974cf317a19c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0202027",
    "kind": "arxiv",
    "version": 2
  }
}