Pith Number

pith:ZCOZKFUT

pith:2014:ZCOZKFUT65ZYCYXKSOAAHVR4O7

not attested not anchored not stored refs pending

Matrix integrals over unitary groups: An application of Schur-Weyl duality

Lin Zhang

arxiv:1408.3782 v6 · 2014-08-17 · quant-ph · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCOZKFUT65ZYCYXKSOAAHVR4O7}

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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

6 papers in Pith

Reference-frame-independent quantum metrology

Efficient Fourier-Based Linear Combination of Unitaries and Applications in Quantum Optimization

Fundamental limits to contrast reversal of survival probability correlations

Quantum average correlations and complementarity relations via metric-adjusted skew information

Quantum average correlation based on average coherence

Receipt and verification

First computed	2026-07-05T09:28:26.360298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89d951693f7738162ea938003d63c77d613017f5929fad3ba8ec75bc7821649

Aliases

arxiv: 1408.3782 · arxiv_version: 1408.3782v6 · doi: 10.48550/arxiv.1408.3782 · pith_short_12: ZCOZKFUT65ZY · pith_short_16: ZCOZKFUT65ZYCYXK · pith_short_8: ZCOZKFUT

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/ZCOZKFUT65ZYCYXKSOAAHVR4O7 \
  | 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: c89d951693f7738162ea938003d63c77d613017f5929fad3ba8ec75bc7821649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b657484782ccb2de4630df9b81798b9a42d0c8996768dcd7c5009786a82d3e09",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-08-17T00:50:36Z",
    "title_canon_sha256": "d5bdb2dec39e8d25f4a0caa0d88f5d668c89b2fddb50a0e5c92c4bb0998ba0db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3782",
    "kind": "arxiv",
    "version": 6
  }
}