Pith Number

pith:JV7QRA2Z

pith:2015:JV7QRA2Z4BT5DBSJARQ4GTIP54

not attested not anchored not stored refs pending

On irreducibility of Koopman representations of Higman-Thompson groups

Artem Dudko

arxiv:1512.02687 v2 · 2015-12-08 · math.RT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JV7QRA2Z4BT5DBSJARQ4GTIP54}

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	2026-05-18T01:22:46.164637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d7f088359e067d186490461c34d0fef18be6c87607522e20ad58f3d4aab105c

Aliases

arxiv: 1512.02687 · arxiv_version: 1512.02687v2 · doi: 10.48550/arxiv.1512.02687 · pith_short_12: JV7QRA2Z4BT5 · pith_short_16: JV7QRA2Z4BT5DBSJ · pith_short_8: JV7QRA2Z

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/JV7QRA2Z4BT5DBSJARQ4GTIP54 \
  | 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: 4d7f088359e067d186490461c34d0fef18be6c87607522e20ad58f3d4aab105c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2bc942b923cfb0412a99cabc45afc327d811e8dd292030835b77617dd4af469",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-08T22:57:09Z",
    "title_canon_sha256": "ff1cb79628c5ade2581f88c63476496847e5c3556372777c4dcf2d0066cbf718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02687",
    "kind": "arxiv",
    "version": 2
  }
}