Pith Number

pith:LRKMVRDE

pith:2009:LRKMVRDE6QMI5H3GPVGN7BLBAW

not attested not anchored not stored refs pending

The Lawrence-Krammer-Bigelow Representations of the Braid Groups via Quantum SL_2

Craig Jackson, Thomas Kerler

arxiv:0912.2114 v2 · 2009-12-10 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRKMVRDE6QMI5H3GPVGN7BLBAW}

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	2026-05-18T03:22:08.306898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c54cac464f4188e9f667d4cdf85610596c557a06d69ad412e422eb4f4e3b116

Aliases

arxiv: 0912.2114 · arxiv_version: 0912.2114v2 · doi: 10.48550/arxiv.0912.2114 · pith_short_12: LRKMVRDE6QMI · pith_short_16: LRKMVRDE6QMI5H3G · pith_short_8: LRKMVRDE

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/LRKMVRDE6QMI5H3GPVGN7BLBAW \
  | 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: 5c54cac464f4188e9f667d4cdf85610596c557a06d69ad412e422eb4f4e3b116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b441db0f5c9e046fd339658c54090b3b2e021b6961f7fd3c9ab3f2a74c2b02f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-12-10T22:14:17Z",
    "title_canon_sha256": "047ab7e9378a560f10159e4cd6707398de3731898253a030e21dd131042ea8de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2114",
    "kind": "arxiv",
    "version": 2
  }
}