{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:GSAA6VGSFJ2B7TD5CN7QEDAO24","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"61d650735ee078ca13b54f877dfa98fd79f5f16172fbc9fd724037cde0e56bd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-02-25T17:44:58Z","title_canon_sha256":"48771a904e5e261b8d6138327a148eb91e313d3a6b2aef48dad65fbd0329bc42"},"schema_version":"1.0","source":{"id":"2602.22141","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.22141","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"arxiv_version","alias_value":"2602.22141v2","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.22141","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"pith_short_12","alias_value":"GSAA6VGSFJ2B","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"pith_short_16","alias_value":"GSAA6VGSFJ2B7TD5","created_at":"2026-06-19T16:12:51Z"},{"alias_kind":"pith_short_8","alias_value":"GSAA6VGS","created_at":"2026-06-19T16:12:51Z"}],"graph_snapshots":[{"event_id":"sha256:fd8eb65f3133e3564bc6bc0509b6b6bd15e6b56ea25584ed263fed9d336987b9","target":"graph","created_at":"2026-06-19T16:12:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2602.22141/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the existence and radial stability of static, spherically symmetric thin shells joining two Schwarzschild--de~Sitter (SdS) spacetimes $(m_\\pm,\\Lambda_\\pm)$. Using the Israel junction formalism, we map the stable equilibria ($V_{\\mathrm{eff}}''>0$) of the effective potential. Near the equilibrium radius $R_0$ the shell's surface density $\\sigma$ and pressure $p$ obey the linearized barotropic law $p=p_0+c_s^2(\\sigma-\\sigma_0)$, with sound speed $c_s^2=\\lambda c^2$. 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","authors_text":"Dimitrios Efstratiou, Evangelos Achilleas Paraskevas, Leandros Perivolaropoulos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-02-25T17:44:58Z","title":"Static Dark Fluid Thin Shells in Schwarzschild-de Sitter Spacetimes: Stability and Black Hole Shadows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.22141","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:679bcf7eb99f1f73a4788f6348f5fd696fd85b661ab831bbb212a3f5f2d3ca3c","target":"record","created_at":"2026-06-19T16:12:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"61d650735ee078ca13b54f877dfa98fd79f5f16172fbc9fd724037cde0e56bd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-02-25T17:44:58Z","title_canon_sha256":"48771a904e5e261b8d6138327a148eb91e313d3a6b2aef48dad65fbd0329bc42"},"schema_version":"1.0","source":{"id":"2602.22141","kind":"arxiv","version":2}},"canonical_sha256":"34800f54d22a741fcc7d137f020c0ed722c4e4810c191bc9063624e98688d33e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34800f54d22a741fcc7d137f020c0ed722c4e4810c191bc9063624e98688d33e","first_computed_at":"2026-06-19T16:12:51.636371Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:51.636371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gWF90VQLk8oMIn5eRIlnBcmbP9YA2h99AkaAWGlqVTFZclwgVzGEgM4+lJWmrtyeuzI8GxKn26fWvtkK38pzAw==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:51.636847Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.22141","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:679bcf7eb99f1f73a4788f6348f5fd696fd85b661ab831bbb212a3f5f2d3ca3c","sha256:fd8eb65f3133e3564bc6bc0509b6b6bd15e6b56ea25584ed263fed9d336987b9"],"state_sha256":"68b8876fb0a0fde0ccb9d5ab49df9dff2c6fd2974e6acc07dd082e3676226a75"}