Pith Number

pith:WDLKZEHX

pith:2009:WDLKZEHXUPCXQMODIXSXO7OP7N

not attested not anchored not stored refs pending

Quantum subgroups of GL_{\alpha,\beta}(n)

Gaston Andres Garcia

arxiv:0903.5510 v1 · 2009-03-31 · 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{WDLKZEHXUPCXQMODIXSXO7OP7N}

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	2026-05-18T04:42:36.197304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0d6ac90f7a3c57831c345e5777dcffb7a4f81bd560f6cb12dae6c7d41c4c499

Aliases

arxiv: 0903.5510 · arxiv_version: 0903.5510v1 · doi: 10.48550/arxiv.0903.5510 · pith_short_12: WDLKZEHXUPCX · pith_short_16: WDLKZEHXUPCXQMOD · pith_short_8: WDLKZEHX

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/WDLKZEHXUPCXQMODIXSXO7OP7N \
  | 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: b0d6ac90f7a3c57831c345e5777dcffb7a4f81bd560f6cb12dae6c7d41c4c499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61acf75cc2fe4dc0ddbcb0066010de88bc8da04aae17e0f5db9f339b006bbe6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-03-31T16:09:37Z",
    "title_canon_sha256": "7e8901fe76732c00a7d976694882671468786cb04e6e5e7512b16a47a9ce8c63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5510",
    "kind": "arxiv",
    "version": 1
  }
}