Pith Number

pith:O2XYTKJE

pith:2026:O2XYTKJEIRQPLJ7QTM3EIQDHD7

not attested not anchored not stored refs pending

From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs

Xingyang Yu

Ensemble averaging in low-dimensional holography arises from averaging over topological boundary conditions at one end of a fixed SymTFT slab while holding the physical boundary fixed.

arxiv:2605.06653 v2 · 2026-05-07 · hep-th

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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

We propose a SymTFT interpretation of ensemble averaging in low-dimensional holography. The central operation is to keep fixed both the SymTFT and the physical boundary condition, while averaging over topological boundary conditions at the other end of the SymTFT slab.

C2weakest assumption

That the groupoid or Haar-type measures on topological boundary conditions naturally reproduce the physically relevant ensemble measures (Poisson/Bell polynomials and Zamolodchikov) without additional fitting or selection rules.

C3one line summary

Ensemble averaging in low-dimensional holography is reinterpreted as averaging over topological boundary conditions in a fixed SymTFT slab, reproducing Poisson moments in the Marolf-Maxfield model and Zamolodchikov measure in the Narain case.

Cited by

1 paper in Pith

Quiver Approach to Symmetry Theories

Receipt and verification

First computed	2026-06-25T01:18:38.395994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76af89a9244460f5a7f09b364440671fd40961e8ad427b750c75fbb096c814bd

Aliases

arxiv: 2605.06653 · arxiv_version: 2605.06653v2 · doi: 10.48550/arxiv.2605.06653 · pith_short_12: O2XYTKJEIRQP · pith_short_16: O2XYTKJEIRQPLJ7Q · pith_short_8: O2XYTKJE

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/O2XYTKJEIRQPLJ7QTM3EIQDHD7 \
  | 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: 76af89a9244460f5a7f09b364440671fd40961e8ad427b750c75fbb096c814bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "007d792355fbb9593c5a55cf78002f3cf8f338ba84fdeb2dbc087b89a66f1d1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-07T17:56:48Z",
    "title_canon_sha256": "1864446c5730e455986135ff7fbaf45842c1bde613e18832cb9e640e72ac7f33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.06653",
    "kind": "arxiv",
    "version": 2
  }
}