Pith Number

pith:MFGD6S6Q

pith:2012:MFGD6S6QPHHJ4HTX5XVK32U326

not attested not anchored not stored refs pending

Amenable groups with a locally invariant order are locally indicable

Dave Witte Morris, Peter Linnell

arxiv:1202.4716 v3 · 2012-02-21 · 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{MFGD6S6QPHHJ4HTX5XVK32U326}

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	2026-05-18T03:28:30.673276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614c3f4bd079ce9e1e77edeaadea9bd78cb82f2bd99ab8c712d9ab837b5af7d8

Aliases

arxiv: 1202.4716 · arxiv_version: 1202.4716v3 · doi: 10.48550/arxiv.1202.4716 · pith_short_12: MFGD6S6QPHHJ · pith_short_16: MFGD6S6QPHHJ4HTX · pith_short_8: MFGD6S6Q

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/MFGD6S6QPHHJ4HTX5XVK32U326 \
  | 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: 614c3f4bd079ce9e1e77edeaadea9bd78cb82f2bd99ab8c712d9ab837b5af7d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b31c4d002db4fc85c89474a67006cb341ae1caf1ebda67b756e149e7f7f98b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-02-21T17:57:36Z",
    "title_canon_sha256": "e1d192306b517da888e993f06dfb523f29a3159c9e537ba86b64aeee02456060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4716",
    "kind": "arxiv",
    "version": 3
  }
}