Pith Number

pith:N3LUTREN

pith:2014:N3LUTREN7I7PV22ALAAXGGG3K3

not attested not anchored not stored refs pending

Bilipschitz versus quasi-isometric equivalence for higher rank lamplighter groups

Irine Peng, Jennifer Taback, Tullia Dymarz

arxiv:1407.1107 v1 · 2014-07-04 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3LUTREN7I7PV22ALAAXGGG3K3}

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	2026-05-18T02:48:18.720009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ed749c48dfa3efaeb4058017318db56d9fa2aca2625149e2ec24652a0e35357

Aliases

arxiv: 1407.1107 · arxiv_version: 1407.1107v1 · doi: 10.48550/arxiv.1407.1107 · pith_short_12: N3LUTREN7I7P · pith_short_16: N3LUTREN7I7PV22A · pith_short_8: N3LUTREN

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/N3LUTREN7I7PV22ALAAXGGG3K3 \
  | 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: 6ed749c48dfa3efaeb4058017318db56d9fa2aca2625149e2ec24652a0e35357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "792f9f207a27fdb26c3c5f8f70682fb618a288a2bca2ebf08dde0bf7d7c9a92c",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-04T01:30:25Z",
    "title_canon_sha256": "929c95962dec66765a3de6b80057ad0399a20e6610ad938197cb3c217f53bf71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1107",
    "kind": "arxiv",
    "version": 1
  }
}