Pith Number

pith:FOB4C4TX

pith:2019:FOB4C4TXTLQKC5S7QYVRCMJLLM

not attested not anchored not stored refs pending

Irreducibility of the Wysiwyg representations of Thompson's groups

Vaughan F.R. Jones

arxiv:1906.09619 v1 · 2019-06-23 · math.OA · math-ph · math.GR · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOB4C4TXTLQKC5S7QYVRCMJLLM}

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.

Cited by

1 paper in Pith

Remarks on some maximal subgroups of $F$ and on the $\vec{F}$-index of knots

Receipt and verification

First computed	2026-05-17T23:42:37.329680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b83c172779ae0a1765f862b11312b5b0cff4a4952badb51027e3b9293e51606

Aliases

arxiv: 1906.09619 · arxiv_version: 1906.09619v1 · doi: 10.48550/arxiv.1906.09619 · pith_short_12: FOB4C4TXTLQK · pith_short_16: FOB4C4TXTLQKC5S7 · pith_short_8: FOB4C4TX

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/FOB4C4TXTLQKC5S7QYVRCMJLLM \
  | 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: 2b83c172779ae0a1765f862b11312b5b0cff4a4952badb51027e3b9293e51606

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "450c040f6493fac935c6510b5b8b3a1c1ab9a7ab927fc53b6c01de80796193bf",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-06-23T17:58:41Z",
    "title_canon_sha256": "a1484dfb92ac68463af650f5735518a1d15c15866981997075cefb6a95fa1a38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09619",
    "kind": "arxiv",
    "version": 1
  }
}