{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:DDUDHLMC4FSWGFIDRFQS2J3EZQ","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":"4f73df2dbf1d80b920eec1ebfcf3a60c4bb060d95f295c8b9ed801aa2e33badb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-11-25T11:32:08Z","title_canon_sha256":"6379936573de174cf75649e88e0fc6d44467c6fb0b5b25a5f95308ba8efacfe2"},"schema_version":"1.0","source":{"id":"0911.4822","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.4822","created_at":"2026-05-18T02:34:03Z"},{"alias_kind":"arxiv_version","alias_value":"0911.4822v1","created_at":"2026-05-18T02:34:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.4822","created_at":"2026-05-18T02:34:03Z"},{"alias_kind":"pith_short_12","alias_value":"DDUDHLMC4FSW","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DDUDHLMC4FSWGFID","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DDUDHLMC","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:f00d184b94a53a61edbd6c63f7cc0e37b31555534c464beb419b7a7a2b50ee94","target":"graph","created_at":"2026-05-18T02:34:03Z","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"},"paper":{"abstract_excerpt":"A family of spherical shells with varying thickness is derived by using a simple Newtonian potential-density pair. Then, a particular isotropic form of a metric in spherical coordinates is used to construct a General Relativistic version of the Newtonian family of shells. The matter of these relativistic shells presents equal azimuthal and polar pressures, while the radial pressure is a constant times the tangential pressure. We also make a first study of stability of both the Newtonian and relativistic families of shells.","authors_text":"D. Vogt, P.S. Letelier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-11-25T11:32:08Z","title":"Newtonian and General Relativistic Models of Spherical Shells"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.4822","kind":"arxiv","version":1},"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:a703dd40b1aab30d0088a75a3f5f0647941a0108cf52347f0eb1ed222a4d7a65","target":"record","created_at":"2026-05-18T02:34:03Z","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":"4f73df2dbf1d80b920eec1ebfcf3a60c4bb060d95f295c8b9ed801aa2e33badb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-11-25T11:32:08Z","title_canon_sha256":"6379936573de174cf75649e88e0fc6d44467c6fb0b5b25a5f95308ba8efacfe2"},"schema_version":"1.0","source":{"id":"0911.4822","kind":"arxiv","version":1}},"canonical_sha256":"18e833ad82e16563150389612d2764cc11242287ca6510db98c1c64d018cc737","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18e833ad82e16563150389612d2764cc11242287ca6510db98c1c64d018cc737","first_computed_at":"2026-05-18T02:34:03.639726Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:03.639726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OXv14UpE/KPUbOsokNuOrKkz3tKiKhstM0GIBVTUrkHlufj9pd+sa4opbllbLPg5BCdOM2tsvDzsHmo4wP5HDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:03.640526Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.4822","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a703dd40b1aab30d0088a75a3f5f0647941a0108cf52347f0eb1ed222a4d7a65","sha256:f00d184b94a53a61edbd6c63f7cc0e37b31555534c464beb419b7a7a2b50ee94"],"state_sha256":"85e306f401d8f98c93ebd54be5704c3e06664215b0a1eed39fd382b014c8ffb5"}