Pith Number

pith:HGUT3IVE

pith:2026:HGUT3IVE4MMJRWPXDD6D2QIWB3

not attested not anchored not stored refs resolved

Complex Geodesics in the Nariai Geometry

Lars Aalsma, Mir Mehedi Faruk

The two-point correlation function in Nariai geometry equals a sum over complex geodesics obtained by analytic continuation from a sphere product, with phases retained to eliminate spurious singularities.

arxiv:2604.26662 v2 · 2026-04-29 · hep-th

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Claims

C1strongest claim

The two-point correlation function in the Nariai geometry is given by a sum over complex geodesics obtained via analytic continuation from the sphere product, where the phase of each geodesic contribution must be retained to avoid spurious singularities.

C2weakest assumption

The geodesic approximation to the two-point function remains valid under analytic continuation from the product of spheres to the Nariai geometry, and the heat kernel formalism accurately captures the heavy-field limit without additional corrections.

C3one line summary

Obtains the two-point correlator in Nariai geometry as a sum over complex geodesics via heat kernel approximation on sphere products followed by analytic continuation, extending de Sitter results.

References

26 extracted · 26 resolved · 8 Pith anchors

[1] The Black Hole Singularity in AdS/CFT 2004 · arXiv:hep-th/0306170

[2] On charged black holes in anti-de Sitter space 2005 · arXiv:hep-th/0410214

[3] Excursions beyond the horizon: Black hole singularities in Yang-Mills theories (I) 2006 · arXiv:hep-th/0506202

[4] Black hole singularity from OPE 2024

[5] Imprint of the black hole singularity on thermal two-point functions · arXiv:2510.21673

Receipt and verification

First computed	2026-05-20T00:01:42.186275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a93da2a4e31898d9f718fc3d41160ef50ed38ff22840bd3e32400f26e14988

Aliases

arxiv: 2604.26662 · arxiv_version: 2604.26662v2 · doi: 10.48550/arxiv.2604.26662 · pith_short_12: HGUT3IVE4MMJ · pith_short_16: HGUT3IVE4MMJRWPX · pith_short_8: HGUT3IVE

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HGUT3IVE4MMJRWPXDD6D2QIWB3 \
  | 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: 39a93da2a4e31898d9f718fc3d41160ef50ed38ff22840bd3e32400f26e14988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f32daeb52ba08f0c78ec815f48c176cb7a86cbc2066705d232802258196aee",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-29T13:25:49Z",
    "title_canon_sha256": "98d8ebbe210c847ae725b9438dd988e4214dfae0d46f86361b046ee3f05ea78f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.26662",
    "kind": "arxiv",
    "version": 2
  }
}