Pith Number

pith:IGMGRRPQ

pith:2014:IGMGRRPQPVLH6JJWWOA5NLLDZA

not attested not anchored not stored refs pending

Lamplighters, Metabelian Groups, and Horocyclic Products of Trees

Margarita Amchislavska, Timothy Riley

arxiv:1405.1660 v2 · 2014-05-07 · 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{IGMGRRPQPVLH6JJWWOA5NLLDZA}

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	2026-05-18T02:46:05.963034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

419868c5f07d567f2536b381d6ad63c8396a4bf182cae68985f1d7635c65e803

Aliases

arxiv: 1405.1660 · arxiv_version: 1405.1660v2 · doi: 10.48550/arxiv.1405.1660 · pith_short_12: IGMGRRPQPVLH · pith_short_16: IGMGRRPQPVLH6JJW · pith_short_8: IGMGRRPQ

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/IGMGRRPQPVLH6JJWWOA5NLLDZA \
  | 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: 419868c5f07d567f2536b381d6ad63c8396a4bf182cae68985f1d7635c65e803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bffc9beeb24198934fa40d5bfeb36b21093e3320624eef1e3a5975bb605649d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-05-07T16:26:32Z",
    "title_canon_sha256": "a4028173b65f8415f3140fbc48b3eb286c5b8130de953a7a69ec36cd6363ef29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1660",
    "kind": "arxiv",
    "version": 2
  }
}