Pith Number

pith:W3EDEHQM

pith:2017:W3EDEHQMFHBUMZNMBDVG6G4MLV

not attested not anchored not stored refs pending

Higher rank lamplighter groups are graph automatic

Jennifer Taback, Sophie B\'erub\'e, Tara Palnitkar

arxiv:1706.02635 v1 · 2017-06-08 · 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{W3EDEHQMFHBUMZNMBDVG6G4MLV}

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	2026-05-18T00:42:44.970039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6c8321e0c29c34665ac08ea6f1b8c5d53122fa153f05bc26b437d236de20172

Aliases

arxiv: 1706.02635 · arxiv_version: 1706.02635v1 · doi: 10.48550/arxiv.1706.02635 · pith_short_12: W3EDEHQMFHBU · pith_short_16: W3EDEHQMFHBUMZNM · pith_short_8: W3EDEHQM

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/W3EDEHQMFHBUMZNMBDVG6G4MLV \
  | 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: b6c8321e0c29c34665ac08ea6f1b8c5d53122fa153f05bc26b437d236de20172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4dc7691e79b1d388b3558fab0cd77136c1895f621d6ae8538f2e52835449c16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-06-08T15:20:44Z",
    "title_canon_sha256": "1e8ca1f60a779b34d9b4c31b92405497798ee97260112b2bf48134a6ab7d994d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02635",
    "kind": "arxiv",
    "version": 1
  }
}