Pith Number

pith:U45J3GFS

pith:2019:U45J3GFSIN45WOC4PIKUQK3NKU

not attested not anchored not stored refs pending

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type VI. Suzuki and Ree groups

Giovanna Carnovale, Mauro Costantini

arxiv:1906.11685 v3 · 2019-06-27 · math.QA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U45J3GFSIN45WOC4PIKUQK3NKU}

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	2026-06-08T01:03:39.457397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a73a9d98b24379db385c7a15482b6d553c6334e001c92a4fb07188c28c9bec43

Aliases

arxiv: 1906.11685 · arxiv_version: 1906.11685v3 · doi: 10.48550/arxiv.1906.11685 · pith_short_12: U45J3GFSIN45 · pith_short_16: U45J3GFSIN45WOC4 · pith_short_8: U45J3GFS

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/U45J3GFSIN45WOC4PIKUQK3NKU \
  | 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: a73a9d98b24379db385c7a15482b6d553c6334e001c92a4fb07188c28c9bec43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb71409ebe75feff86ec2fb77beeeebc959832826d19cad2065e0b0e9693ade0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-06-27T14:28:20Z",
    "title_canon_sha256": "1bac3a93205cb80a511b07e130b2da7da5c68390ff6c3f6f990a535432d11710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11685",
    "kind": "arxiv",
    "version": 3
  }
}