Pith Number

pith:XUDZ5XPX

pith:2013:XUDZ5XPXTP2PXOQVSCT4QJ2332

not attested not anchored not stored refs pending

Kronecker product in terms of Hubbard operators and the Clebsch-Gordan decomposition of SU(2)xSU(2)

Marco Enriquez, Oscar Rosas-Ortiz

arxiv:1302.4797 v2 · 2013-02-20 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUDZ5XPXTP2PXOQVSCT4QJ2332}

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	2026-05-18T02:20:20.187786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd079eddf79bf4fbba1590a7c8275bde8a71534b7d720e2319ec21f3e98389fd

Aliases

arxiv: 1302.4797 · arxiv_version: 1302.4797v2 · doi: 10.48550/arxiv.1302.4797 · pith_short_12: XUDZ5XPXTP2P · pith_short_16: XUDZ5XPXTP2PXOQV · pith_short_8: XUDZ5XPX

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/XUDZ5XPXTP2PXOQVSCT4QJ2332 \
  | 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: bd079eddf79bf4fbba1590a7c8275bde8a71534b7d720e2319ec21f3e98389fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28caf4a3c3ad1ecfa4a3887d15b63556c0e5f17192dd6aa5dd524f0bd30f588b",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-20T02:55:30Z",
    "title_canon_sha256": "b33171a13ccca27b1e147fde5392bccaf0b2dd595ea713d83f0ada24bb72f26d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4797",
    "kind": "arxiv",
    "version": 2
  }
}