Pith Number

pith:OPGWOVNZ

pith:2011:OPGWOVNZCFUGYUKHDVXECEGOTT

not attested not anchored not stored refs pending

(Hopf) Algebra Automorphisms of the Hopf algebra ${\check U}^{\geq 0}_{r,s}({\mathfrak sl_{3}})$

Xin Tang

arxiv:1106.1909 v1 · 2011-06-09 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPGWOVNZCFUGYUKHDVXECEGOTT}

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	2026-05-18T04:20:14.034950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73cd6755b911686c51471d6e4110ce9cd2e258eb6fceac61e697b4675a165b12

Aliases

arxiv: 1106.1909 · arxiv_version: 1106.1909v1 · doi: 10.48550/arxiv.1106.1909 · pith_short_12: OPGWOVNZCFUG · pith_short_16: OPGWOVNZCFUGYUKH · pith_short_8: OPGWOVNZ

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/OPGWOVNZCFUGYUKHDVXECEGOTT \
  | 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: 73cd6755b911686c51471d6e4110ce9cd2e258eb6fceac61e697b4675a165b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a41c081d93f42a7b93f69732b9ae878cfe5fa17b90aa7a334568061c6bcc614",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-06-09T20:17:17Z",
    "title_canon_sha256": "d602f7b71cf927d861da5cf2052b2e7ca44127797cac6eece8b2f5f5f6b62661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1909",
    "kind": "arxiv",
    "version": 1
  }
}