Pith Number

pith:NEYD2Y3M

pith:2018:NEYD2Y3MM27TO52AWPEQLIWAQB

not attested not anchored not stored refs pending

Pythagorean representations of Thompson's groups

Arnaud Brothier, Vaughan F. R. Jones

arxiv:1807.06215 v1 · 2018-07-17 · math.GR · math.OA · 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{NEYD2Y3MM27TO52AWPEQLIWAQB}

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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

2 papers in Pith

Irreducibility of the Wysiwyg representations of Thompson's groups

Canonical quantization of 1+1-dimensional Yang-Mills theory: An operator-algebraic approach

Receipt and verification

First computed	2026-05-18T00:10:33.700098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69303d636c66bf377740b3c905a2c0805cfd921ac2b92a331e186a8fbfe8cf64

Aliases

arxiv: 1807.06215 · arxiv_version: 1807.06215v1 · doi: 10.48550/arxiv.1807.06215 · pith_short_12: NEYD2Y3MM27T · pith_short_16: NEYD2Y3MM27TO52A · pith_short_8: NEYD2Y3M

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/NEYD2Y3MM27TO52AWPEQLIWAQB \
  | 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: 69303d636c66bf377740b3c905a2c0805cfd921ac2b92a331e186a8fbfe8cf64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fa4cafea52f2bc574042a73761f21cc40bb01982bbf477fe8059b92695a1ca8",
    "cross_cats_sorted": [
      "math.OA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-07-17T04:12:57Z",
    "title_canon_sha256": "0af3726739c20a8ae0160004aa4805eefc16179c73024902474bf44f95480886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06215",
    "kind": "arxiv",
    "version": 1
  }
}