Pith Number

pith:PPDEEPPA

pith:2026:PPDEEPPAEAJRYG5DYMEOATKEDU

not attested not anchored not stored refs pending

RFOX (Rotated-Field Oscillatory eXchange) quantum algorithm: Towards Parameter-Free Quantum Optimizers

Brian Garc\'ia Sarmina, Guo-Hua Sun, Shi-Hai Dong

The RFOX algorithm maintains an essentially flat spectral gap independent of interpolation parameter and disorder strength.

arxiv:2604.02569 v3 · 2026-04-02 · quant-ph · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPDEEPPAEAJRYG5DYMEOATKEDU}

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.

Claims

C1strongest claim

The instantaneous spectral gap remains essentially flat, independent of both the interpolation parameter and the disorder strength, modulated only by a δ parameter.

C2weakest assumption

That the Floquet-Magnus expansion at high drive frequency accurately captures the effective Hamiltonian such that the derived corrections preserve gap flatness for the full range of disorder strengths and system sizes.

C3one line summary

RFOX keeps the instantaneous spectral gap flat across interpolation and disorder by using a constant XX catalyst plus derived ZX counter-diabatic drive, yielding faster ground-state convergence on small RFIM instances.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-21T01:04:25.263690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc6423de020131c1ba3c308e04d441d0568969af8bd2c5732e5f99c5446b279

Aliases

arxiv: 2604.02569 · arxiv_version: 2604.02569v3 · doi: 10.48550/arxiv.2604.02569 · pith_short_12: PPDEEPPAEAJR · pith_short_16: PPDEEPPAEAJRYG5D · pith_short_8: PPDEEPPA

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/PPDEEPPAEAJRYG5DYMEOATKEDU \
  | 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: 7bc6423de020131c1ba3c308e04d441d0568969af8bd2c5732e5f99c5446b279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aff27ce9258c168db6a62200f2f3a500ffbd3e00e9a0e3a57f57acc06efb3307",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-02T22:44:10Z",
    "title_canon_sha256": "918d323e2e113af6aca36c59b1029f625c7c4c529cb3bee865f0ee21167d9f4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.02569",
    "kind": "arxiv",
    "version": 3
  }
}