Pith Number

pith:KGNWG6HT

pith:2016:KGNWG6HTCVOIRNDBHPEYNFFBXH

not attested not anchored not stored refs pending

Non-inner amenability of the Thompson groups T and V

Kristian Knudsen Olesen, Uffe Haagerup

arxiv:1609.05086 v1 · 2016-09-16 · 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{KGNWG6HTCVOIRNDBHPEYNFFBXH}

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	2026-05-18T01:04:31.594543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

519b6378f3155c88b4613bc98694a1b9d5d6638276c640299d6296889270caf5

Aliases

arxiv: 1609.05086 · arxiv_version: 1609.05086v1 · doi: 10.48550/arxiv.1609.05086 · pith_short_12: KGNWG6HTCVOI · pith_short_16: KGNWG6HTCVOIRNDB · pith_short_8: KGNWG6HT

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/KGNWG6HTCVOIRNDBHPEYNFFBXH \
  | 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: 519b6378f3155c88b4613bc98694a1b9d5d6638276c640299d6296889270caf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cad5f33e626b33e0e58aded3e5c7880e15700d03f4a09b96677981ddabc2819e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-09-16T14:36:42Z",
    "title_canon_sha256": "b5383096db1830362ab72bb3a60f82fe5a74294b7170060ccb724da5d76cc280"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05086",
    "kind": "arxiv",
    "version": 1
  }
}