Pith Number

pith:2FH5PORG

pith:2016:2FH5PORGPJPXO3SOSUUUAQBALU

not attested not anchored not stored refs pending

C*-simplicity of free products with amalgamation and radical classes of groups

Nikolay A. Ivanov, Tron Omland

arxiv:1605.06395 v4 · 2016-05-20 · math.OA · 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{2FH5PORGPJPXO3SOSUUUAQBALU}

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	2026-05-18T00:29:15.641552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d14fd7ba267a5f776e4e95294040205d1aebff16335279c3ad0b236b55a4336f

Aliases

arxiv: 1605.06395 · arxiv_version: 1605.06395v4 · doi: 10.48550/arxiv.1605.06395 · pith_short_12: 2FH5PORGPJPX · pith_short_16: 2FH5PORGPJPXO3SO · pith_short_8: 2FH5PORG

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/2FH5PORGPJPXO3SOSUUUAQBALU \
  | 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: d14fd7ba267a5f776e4e95294040205d1aebff16335279c3ad0b236b55a4336f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3107aa2b07bbf697c0bd0b19161dc662dcaf5c4299ae3b939f1367c56f446c12",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-05-20T15:08:30Z",
    "title_canon_sha256": "72dd5a06a5ee4a13aa65c6d99786740934e5962b075c2e8ace22eabd89d721ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06395",
    "kind": "arxiv",
    "version": 4
  }
}