Pith Number

pith:POECWGGX

pith:2018:POECWGGXVV2Q65SLR2CTE5GBVJ

not attested not anchored not stored refs pending

The lamplighter group of rank two generated by a bireversible automaton

Dmytro Savchuk, Elsayed Ahmed

arxiv:1802.03695 v1 · 2018-02-11 · 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{POECWGGXVV2Q65SLR2CTE5GBVJ}

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	2026-05-18T00:23:50.748939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b882b18d7ad750f764b8e853274c1aa70c3110cab8a11237daeaa45f9901c98

Aliases

arxiv: 1802.03695 · arxiv_version: 1802.03695v1 · doi: 10.48550/arxiv.1802.03695 · pith_short_12: POECWGGXVV2Q · pith_short_16: POECWGGXVV2Q65SL · pith_short_8: POECWGGX

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/POECWGGXVV2Q65SLR2CTE5GBVJ \
  | 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: 7b882b18d7ad750f764b8e853274c1aa70c3110cab8a11237daeaa45f9901c98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2f8d7f68a46d75f8a9de0bd563afe4021f7ec428408545e253646bc3c38e621",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-02-11T05:24:23Z",
    "title_canon_sha256": "20f4d0bd6d11c6825b3f676cfac6679ac068f37eef00b584a31139e0b60864f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03695",
    "kind": "arxiv",
    "version": 1
  }
}