Pith Number

pith:IOU2V42G

pith:2011:IOU2V42GVUZAVFHTT6BKRHM7HP

not attested not anchored not stored refs pending

Tangles of type $E_n$ and a reducibility criterion for the Cohen-Wales representation of the Artin group of type $E_6$

Claire I. Levaillant

arxiv:1106.4463 v1 · 2011-06-22 · math.GR · math.RA · 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{IOU2V42GVUZAVFHTT6BKRHM7HP}

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	2026-05-18T04:19:32.944969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43a9aaf346ad320a94f39f82a89d9f3beb17cafd8f1af62724e82ddd35185775

Aliases

arxiv: 1106.4463 · arxiv_version: 1106.4463v1 · doi: 10.48550/arxiv.1106.4463 · pith_short_12: IOU2V42GVUZA · pith_short_16: IOU2V42GVUZAVFHT · pith_short_8: IOU2V42G

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/IOU2V42GVUZAVFHTT6BKRHM7HP \
  | 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: 43a9aaf346ad320a94f39f82a89d9f3beb17cafd8f1af62724e82ddd35185775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fb7b49380436163e92547999cf75dac8f565cd103070cda905dcda1f6e69d2b",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-06-22T14:29:44Z",
    "title_canon_sha256": "74657bbb1bd94f05b1c07854f23c1ba855e7b616bbbe1c6bd34af53e13e7efc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4463",
    "kind": "arxiv",
    "version": 1
  }
}