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Since $c_s^2$ is independent of the equilibrium ratio $w_0\\equiv p_0/(\\sigma_0 c^2)$, tension shells ($w_0<0$) stay radial"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2602.22141","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-02-25T17:44:58Z","cross_cats_sorted":[],"title_canon_sha256":"48771a904e5e261b8d6138327a148eb91e313d3a6b2aef48dad65fbd0329bc42","abstract_canon_sha256":"61d650735ee078ca13b54f877dfa98fd79f5f16172fbc9fd724037cde0e56bd5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:51.636847Z","signature_b64":"gWF90VQLk8oMIn5eRIlnBcmbP9YA2h99AkaAWGlqVTFZclwgVzGEgM4+lJWmrtyeuzI8GxKn26fWvtkK38pzAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34800f54d22a741fcc7d137f020c0ed722c4e4810c191bc9063624e98688d33e","last_reissued_at":"2026-06-19T16:12:51.636371Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:51.636371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Static Dark Fluid Thin Shells in Schwarzschild-de Sitter Spacetimes: Stability and Black Hole Shadows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Dimitrios Efstratiou, Evangelos Achilleas Paraskevas, Leandros Perivolaropoulos","submitted_at":"2026-02-25T17:44:58Z","abstract_excerpt":"We study the existence and radial stability of static, spherically symmetric thin shells joining two Schwarzschild--de~Sitter (SdS) spacetimes $(m_\\pm,\\Lambda_\\pm)$. 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