Pith Number

pith:JZ45ZFUF

pith:2009:JZ45ZFUFSSZ2J4DC7APTFE556M

not attested not anchored not stored refs pending

A quantum analogue of the first fundamental theorem of invariant theory

G. I. Lehrer, Hechun Zhang, R. B. Zhang

arxiv:0908.1425 v1 · 2009-08-11 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZ45ZFUFSSZ2J4DC7APTFE556M}

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.

Cited by

1 paper in Pith

On a symplectic quantum Howe duality

Receipt and verification

First computed	2026-05-18T02:12:35.770062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e79dc968594b3a4f062f81f3293bdf325194c7da6074e165e15517f17bf9459

Aliases

arxiv: 0908.1425 · arxiv_version: 0908.1425v1 · doi: 10.48550/arxiv.0908.1425 · pith_short_12: JZ45ZFUFSSZ2 · pith_short_16: JZ45ZFUFSSZ2J4DC · pith_short_8: JZ45ZFUF

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/JZ45ZFUFSSZ2J4DC7APTFE556M \
  | 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: 4e79dc968594b3a4f062f81f3293bdf325194c7da6074e165e15517f17bf9459

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f96107829b97d17964082dfc04c3f95ee39e118e340f5e475c941f50890b3e8e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-08-11T00:57:51Z",
    "title_canon_sha256": "5c3d44e034d765d4db404b5f6b107b7673f0fbfe07e3a5b658141580977605e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1425",
    "kind": "arxiv",
    "version": 1
  }
}