Pith Number

pith:VLXWNAPC

pith:2013:VLXWNAPCSDJ2EQYDKZDIVRMN4N

not attested not anchored not stored refs pending

Invariant Theory of Finite Group Actions on Down-Up Algebras

E. Kirkman, J.J. Zhang, J. Kuzmanovich

arxiv:1308.0579 v1 · 2013-08-02 · 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{VLXWNAPCSDJ2EQYDKZDIVRMN4N}

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	2026-05-18T03:16:50.162778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaef6681e290d3a2430356468ac58de36f55f16644eec3e06f9d54bd095d4c5d

Aliases

arxiv: 1308.0579 · arxiv_version: 1308.0579v1 · doi: 10.48550/arxiv.1308.0579 · pith_short_12: VLXWNAPCSDJ2 · pith_short_16: VLXWNAPCSDJ2EQYD · pith_short_8: VLXWNAPC

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/VLXWNAPCSDJ2EQYDKZDIVRMN4N \
  | 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: aaef6681e290d3a2430356468ac58de36f55f16644eec3e06f9d54bd095d4c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d4b2a2a421f17c10202892cf1dc350974a6e3b5dc387f9840b5c243a3279bb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-08-02T18:55:34Z",
    "title_canon_sha256": "4e0af7888d923db05ea8eb950714d821deda27fcd3c0af03224068ff490e9351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0579",
    "kind": "arxiv",
    "version": 1
  }
}