Pith Number

pith:C27CKZFR

pith:2017:C27CKZFRDLNB24N35QDP67S3VP

not attested not anchored not stored refs pending

Reidemeister classes in lamplighter type groups

Evgenij Troitsky

arxiv:1711.09371 v1 · 2017-11-26 · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C27CKZFRDLNB24N35QDP67S3VP}

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	2026-05-18T00:29:35.832690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16be2564b11ada1d71bbec06ff7e5babff2e76b4f476af00a4e84ef66cfe9ef4

Aliases

arxiv: 1711.09371 · arxiv_version: 1711.09371v1 · doi: 10.48550/arxiv.1711.09371 · pith_short_12: C27CKZFRDLNB · pith_short_16: C27CKZFRDLNB24N3 · pith_short_8: C27CKZFR

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/C27CKZFRDLNB24N35QDP67S3VP \
  | 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: 16be2564b11ada1d71bbec06ff7e5babff2e76b4f476af00a4e84ef66cfe9ef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bc8f2f29c929bf82e2d1f21f67cb7b64cbe6c9f2d0f78cc54724d0199fe054f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-11-26T12:00:22Z",
    "title_canon_sha256": "59c67210f3aa0b31ce6db734e0af473742c294ab498838e32f47c396c9b0d30c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09371",
    "kind": "arxiv",
    "version": 1
  }
}