Pith Number

pith:543C4MX7

pith:2026:543C4MX7RPNGZC2C7EWRSHMWPR

not attested not anchored not stored refs pending

Strong coupling structure of $\mathcal{N}=4$ SYM observables with matrix Bessel kernel

Bercel Boldis

Reorganizing the transseries of matrix Bessel kernel determinants at large 't Hooft coupling reveals a simple relation between each exponentially suppressed correction and the perturbative series for N=4 SYM observables.

arxiv:2602.18557 v3 · 2026-02-20 · hep-th · math-ph · math.MP

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\pithnumber{543C4MX7RPNGZC2C7EWRSHMWPR}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

By reorganizing the transseries of the determinant at large values of the 't Hooft coupling, a simple underlying structure emerges, in which each exponentially suppressed correction is related to the perturbative series in a simple way.

C2weakest assumption

The reorganization applies uniformly to the specific class of matrix Bessel kernel determinants that represent the listed N=4 SYM observables, without additional hidden dependencies on the coupling that would break the simple relation.

C3one line summary

Reorganizing the transseries of matrix Bessel kernel determinants at strong coupling yields a simple structure where non-perturbative corrections are directly determined by the perturbative series for N=4 SYM observables.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-29T01:04:37.001582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef362e32ff8bda6c8b42f92d191d967c432a6cb540aed74729cf0fd93842085d

Aliases

arxiv: 2602.18557 · arxiv_version: 2602.18557v3 · doi: 10.48550/arxiv.2602.18557 · pith_short_12: 543C4MX7RPNG · pith_short_16: 543C4MX7RPNGZC2C · pith_short_8: 543C4MX7

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/543C4MX7RPNGZC2C7EWRSHMWPR \
  | 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: ef362e32ff8bda6c8b42f92d191d967c432a6cb540aed74729cf0fd93842085d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "781d04af05af46024841d7d43b13fe78f8c05836a3eef2ab861987e053756c21",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-02-20T19:00:01Z",
    "title_canon_sha256": "40b053afceea2ffdd2353d7879bf780f96641c10c584647ed0a7dcaf9065b2d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.18557",
    "kind": "arxiv",
    "version": 3
  }
}