Pith Number

pith:PM55UJ52

pith:2017:PM55UJ52SXGZBF6TBHSHE6ZMAP

not attested not anchored not stored refs pending

C*-simplicity of HNN extensions and groups acting on trees

Nikolay A. Ivanov, Rasmus Sylvester Bryder, Tron Omland

arxiv:1711.10442 v2 · 2017-11-28 · 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{PM55UJ52SXGZBF6TBHSHE6ZMAP}

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	2026-05-17T23:48:46.019489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b3bda27ba95cd9097d309e4727b2c03d483b8946ca16c386ab19efa80095d1d

Aliases

arxiv: 1711.10442 · arxiv_version: 1711.10442v2 · doi: 10.48550/arxiv.1711.10442 · pith_short_12: PM55UJ52SXGZ · pith_short_16: PM55UJ52SXGZBF6T · pith_short_8: PM55UJ52

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/PM55UJ52SXGZBF6TBHSHE6ZMAP \
  | 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: 7b3bda27ba95cd9097d309e4727b2c03d483b8946ca16c386ab19efa80095d1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb0d3e9421389773419f3e7f3310463f0273c79b8f8e1b46daa7a306a6edd93e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-11-28T18:05:11Z",
    "title_canon_sha256": "f965768ea57fe48ff6a11dd648e9df33b6f05716716d73e73cef0eb31ff98c19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10442",
    "kind": "arxiv",
    "version": 2
  }
}