Pith Number

pith:BHCBNSC3

pith:2026:BHCBNSC3JIAF5YUVJQ5UWEXYGQ

not attested not anchored not stored refs pending

Resolvent-Based Self-Consistent Framework with Hierarchical Correlation Expansion for Strongly Correlated Many-Body Systems

Qing-yu Cai, Zhi-qiang Huang

A resolvent hierarchy for the self-energy closes exactly in diagonal resolvents and supplies a systematically improvable description of fluctuations beyond mean-field theory.

arxiv:2604.00606 v4 · 2026-04-01 · quant-ph

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\usepackage{pith}
\pithnumber{BHCBNSC3JIAF5YUVJQ5UWEXYGQ}

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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

The resulting hierarchy remains formally closed in terms of diagonal resolvents and provides a systematically improvable description of fluctuations beyond mean-field theory.

C2weakest assumption

ETH-type statistical assumptions are invoked to close the multi-resolvent hierarchy for nonintegrable systems with dense spectra.

C3one line summary

A resolvent hierarchy with Lanczos and multi-resolvent closures yields systematically improvable spectral broadening and asymmetry for nonintegrable many-body systems.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-03T01:05:12.368465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09c416c85b4a005ee2954c3b4b12f83436d3744151184772d42579d3ca3e05b4

Aliases

arxiv: 2604.00606 · arxiv_version: 2604.00606v4 · doi: 10.48550/arxiv.2604.00606 · pith_short_12: BHCBNSC3JIAF · pith_short_16: BHCBNSC3JIAF5YUV · pith_short_8: BHCBNSC3

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/BHCBNSC3JIAF5YUVJQ5UWEXYGQ \
  | 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: 09c416c85b4a005ee2954c3b4b12f83436d3744151184772d42579d3ca3e05b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0635272146925f30308bf4fa729c9271c050da05fe7c41a5bcd4c2f644761db1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-01T08:11:58Z",
    "title_canon_sha256": "74e5d6fda843db87d0f84671754b904d240b83dfebacb7960d0ad435a68e8296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.00606",
    "kind": "arxiv",
    "version": 4
  }
}