Pith Number

pith:E6EDVY6K

pith:2016:E6EDVY6KR3EU6IDCPWIJVOKFUQ

not attested not anchored not stored refs pending

Lattices in amenable groups

P-E. Caprace, Sh. Mozes, T. Gelander, U. Bader

arxiv:1612.06220 v3 · 2016-12-19 · 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{E6EDVY6KR3EU6IDCPWIJVOKFUQ}

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	2026-05-18T00:03:57.187512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27883ae3ca8ec94f20627d909ab945a412b907eac257665623a758fd487bfea0

Aliases

arxiv: 1612.06220 · arxiv_version: 1612.06220v3 · doi: 10.48550/arxiv.1612.06220 · pith_short_12: E6EDVY6KR3EU · pith_short_16: E6EDVY6KR3EU6IDC · pith_short_8: E6EDVY6K

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/E6EDVY6KR3EU6IDCPWIJVOKFUQ \
  | 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: 27883ae3ca8ec94f20627d909ab945a412b907eac257665623a758fd487bfea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6fd03596267c8f48fa43cff4667ec72ba8b9295732959cc183323b65c69040",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-19T15:14:18Z",
    "title_canon_sha256": "e6ed09c767661b45f079f6a72f1a526b6fc1ea35b353c8d8362cf973d6389b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06220",
    "kind": "arxiv",
    "version": 3
  }
}