Pith Number

pith:GEPDQYIQ

pith:2003:GEPDQYIQIATTLWUQ7KQEF5LDK4

not attested not anchored not stored refs pending

Metric properties of the lamplighter group as an automata group

Jennifer Taback, Sean Cleary

arxiv:math/0312331 v2 · 2003-12-17 · 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{GEPDQYIQIATTLWUQ7KQEF5LDK4}

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	2026-05-18T00:20:49.734981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

311e386110402735da90faa042f563573202566056873e3590ef9a189e32e3b6

Aliases

arxiv: math/0312331 · arxiv_version: math/0312331v2 · doi: 10.48550/arxiv.math/0312331 · pith_short_12: GEPDQYIQIATT · pith_short_16: GEPDQYIQIATTLWUQ · pith_short_8: GEPDQYIQ

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/GEPDQYIQIATTLWUQ7KQEF5LDK4 \
  | 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: 311e386110402735da90faa042f563573202566056873e3590ef9a189e32e3b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbfe40d39c67a69ccf8853143fa9dcc8468b3dee87eb99634229cd897a1c8b2e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-12-17T13:30:16Z",
    "title_canon_sha256": "3fc3d608591f13c674b3f143f7a7c1e6f00810769c5aeab95bb01762d44b67af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312331",
    "kind": "arxiv",
    "version": 2
  }
}