Pith Number

pith:CSMOS2MW

pith:2017:CSMOS2MWC252BLWABN7Z4WS56R

not attested not anchored not stored refs pending

Computational explorations of the Thompson group T for the amenability problem of F

M. Ramirez-Solano, S. Haagerup, U. Haagerup

arxiv:1705.00198 v3 · 2017-04-29 · math.GR · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSMOS2MWC252BLWABN7Z4WS56R}

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	2026-05-18T00:05:05.742632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1498e9699616bba0aec00b7f9e5a5df44f9bd8bf1b8c8024b46eb206e2ff6d74

Aliases

arxiv: 1705.00198 · arxiv_version: 1705.00198v3 · doi: 10.48550/arxiv.1705.00198 · pith_short_12: CSMOS2MWC252 · pith_short_16: CSMOS2MWC252BLWA · pith_short_8: CSMOS2MW

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/CSMOS2MWC252BLWABN7Z4WS56R \
  | 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: 1498e9699616bba0aec00b7f9e5a5df44f9bd8bf1b8c8024b46eb206e2ff6d74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec956f079d36cd4c1014fa89ebef1be88095a362a3f575b8934c5a2b380491b",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-04-29T14:38:23Z",
    "title_canon_sha256": "b2fc6e8a6c524f9c59b0f4775f95a2bfce30b91d170107a5d4cd712c2be7525b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00198",
    "kind": "arxiv",
    "version": 3
  }
}