Pith Number

pith:DJLPSF2T

pith:2026:DJLPSF2TKZU6TVEIT3CO6AB36A

not attested not anchored not stored refs pending

CERTIFY-ED: A Multi-Layer Verification Framework for Exact Diagonalization of Quantum Many-Body Systems

Ritu Goel, Sarang Vehale

CERTIFY-ED supplies machine-checkable certificates for the numerical correctness of exact diagonalization results in quantum many-body physics.

arxiv:2605.11787 v2 · 2026-05-12 · cond-mat.str-el · physics.comp-ph

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\usepackage{pith}
\pithnumber{DJLPSF2TKZU6TVEIT3CO6AB36A}

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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.

Claims

C1strongest claim

Running on sixteen physics models from one-dimensional spin chains to two-dimensional Kitaev honeycomb clusters, our reference implementation passes 53 of 53 unit tests and 81 of 81 individual validation tests in under thirty seconds, with maximum disagreement against QuSpin of 1.6×10^{-14} across 320 eigenvalue comparisons, and agreement with 50-digit mpmath reference values to 1.6×10^{-15}.

C2weakest assumption

That the thirteen chosen validation layers together with the three LAPACK paths are sufficient to detect all relevant classes of numerical or implementation errors that could affect downstream theoretical claims.

C3one line summary

CERTIFY-ED supplies a multi-oracle eigensolver, thirteen independent validation layers, and tamper-evident certificates that detect errors and certify exact diagonalization outputs for quantum many-body models.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-03T01:05:51.353690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a56f917535669e9d4889ec4ef003bf036f7f807bec3927d0379aa6ba372f8eb

Aliases

arxiv: 2605.11787 · arxiv_version: 2605.11787v2 · doi: 10.48550/arxiv.2605.11787 · pith_short_12: DJLPSF2TKZU6 · pith_short_16: DJLPSF2TKZU6TVEI · pith_short_8: DJLPSF2T

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/DJLPSF2TKZU6TVEIT3CO6AB36A \
  | 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: 1a56f917535669e9d4889ec4ef003bf036f7f807bec3927d0379aa6ba372f8eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcd5dab7f7c71a559c236be733457246b475f01bfe445fc3f19858dd85a8925a",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-05-12T08:53:48Z",
    "title_canon_sha256": "13a3619c1e7afe3d81b3af0555bf0c7098fc1af1fc3910e314a2e76348011eda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.11787",
    "kind": "arxiv",
    "version": 2
  }
}