Pith Number

pith:NQ6E5HZB

pith:2018:NQ6E5HZBQPFV6HW53V5DXHSYQL

not attested not anchored not stored refs pending

Virtually abelian subgroups of $IA_n(Z/3)$ are abelian

Lee Mosher, Michael Handel

arxiv:1801.09241 v1 · 2018-01-28 · 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{NQ6E5HZBQPFV6HW53V5DXHSYQL}

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	2026-05-18T00:24:58.116483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c3c4e9f2183cb5f1edddd7a3b9e5882fff6c3818e74f6e205ab73506e2b2cfd

Aliases

arxiv: 1801.09241 · arxiv_version: 1801.09241v1 · doi: 10.48550/arxiv.1801.09241 · pith_short_12: NQ6E5HZBQPFV · pith_short_16: NQ6E5HZBQPFV6HW5 · pith_short_8: NQ6E5HZB

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/NQ6E5HZBQPFV6HW53V5DXHSYQL \
  | 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: 6c3c4e9f2183cb5f1edddd7a3b9e5882fff6c3818e74f6e205ab73506e2b2cfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bce1f0ea7cb895b0550b1815a8149a96ccd82056409962a03192607477f2810",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-01-28T15:25:39Z",
    "title_canon_sha256": "802926255c4dbbc0674db78262c15da1ca763a9f580296e0929c072c1e480162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09241",
    "kind": "arxiv",
    "version": 1
  }
}