Pith Number

pith:LJX6AQ3V

pith:2026:LJX6AQ3VUIKRLICDMUJR5BXQZW

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The non-perturbative topological string: from resurgence to wall-crossing of DT invariants

Amir-Kian Kashani-Poor, Simon Douaud

The algebra of alien derivatives on the topological string partition function is isomorphic to the Kontsevich-Soibelman Lie algebra.

arxiv:2604.19731 v2 · 2026-04-21 · hep-th · math-ph · math.AG · math.MP

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\pithnumber{LJX6AQ3VUIKRLICDMUJR5BXQZW}

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Claims

C1strongest claim

We show that the algebra of alien derivatives is isomorphic to the Kontsevich-Soibelman Lie algebra, thus establishing a direct link between the resurgence of the topological string and wall-crossing of generalized Donaldson-Thomas invariants.

C2weakest assumption

That a differential operator can be defined which exactly implements the pointed alien derivative on the topological string partition function and all its iterated derivatives, and that the numerically extracted Borel singularities and Stokes constants receive no unaccounted contributions from other sectors.

C3one line summary

An isomorphism is shown between the algebra of alien derivatives acting on the topological string partition function and the Kontsevich-Soibelman Lie algebra, linking resurgence to DT wall-crossing with numerical matches for D4- and D2-brane contributions.

Receipt and verification

First computed	2026-05-20T01:05:14.056305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a6fe04375a21515a04365131e86f0cd8f27c804fcf89cc16cadf03eb712b986

Aliases

arxiv: 2604.19731 · arxiv_version: 2604.19731v2 · doi: 10.48550/arxiv.2604.19731 · pith_short_12: LJX6AQ3VUIKR · pith_short_16: LJX6AQ3VUIKRLICD · pith_short_8: LJX6AQ3V

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LJX6AQ3VUIKRLICDMUJR5BXQZW \
  | 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: 5a6fe04375a21515a04365131e86f0cd8f27c804fcf89cc16cadf03eb712b986

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ba73a368c99b3e64f05e67c8668b533fac1bbeac2c5728f9f256526295bd71f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-21T17:52:41Z",
    "title_canon_sha256": "b767e2e525a494abbfe09d3ed8f446232951129dcb7f06b8810b47895823fa81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.19731",
    "kind": "arxiv",
    "version": 2
  }
}