{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:54W4WVKSQRYQ3B2W5VTWSEK63O","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":"99330f824c51f5a850a507ffb90fa556fb8811fcd65acd473c935ff87b0333ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-07-09T15:56:23Z","title_canon_sha256":"c9d115105000028eccd8790eb34a627f3cf1dd201c67dfde5792c892931c6b67"},"schema_version":"1.0","source":{"id":"1807.03252","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.03252","created_at":"2026-05-18T00:04:55Z"},{"alias_kind":"arxiv_version","alias_value":"1807.03252v2","created_at":"2026-05-18T00:04:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.03252","created_at":"2026-05-18T00:04:55Z"},{"alias_kind":"pith_short_12","alias_value":"54W4WVKSQRYQ","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"54W4WVKSQRYQ3B2W","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"54W4WVKS","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:23fe58c7cc77a51439f08a940e04407b63a54b9f6822a26e31143be336f9561a","target":"graph","created_at":"2026-05-18T00:04:55Z","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":"In this paper we show that any static and spherically symmetric anisotropic solution of the Einstein field equations can be thought as a system sourced by certain deformed isotropic system in the context of Minimal Geometric Deformation-decoupling approach. To be more precise, we developed a mechanism to obtain an isotropic solution from any anisotropic solution of the Einstein field equations. As an example, we implement the method to obtain the sources of a simple static anisotropic and spherically symmetric traversable wormhole.","authors_text":"Ernesto Contreras","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-07-09T15:56:23Z","title":"Minimal Geometric Deformation: the inverse problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.03252","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:d364e12329d51968c3f8b9a4a3ca11074716ddd1b5d5ca036afd24f5bb813238","target":"record","created_at":"2026-05-18T00:04:55Z","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":"99330f824c51f5a850a507ffb90fa556fb8811fcd65acd473c935ff87b0333ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-07-09T15:56:23Z","title_canon_sha256":"c9d115105000028eccd8790eb34a627f3cf1dd201c67dfde5792c892931c6b67"},"schema_version":"1.0","source":{"id":"1807.03252","kind":"arxiv","version":2}},"canonical_sha256":"ef2dcb555284710d8756ed6769115edb88ad55ed48a084e84cdfa06f1e434aa5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef2dcb555284710d8756ed6769115edb88ad55ed48a084e84cdfa06f1e434aa5","first_computed_at":"2026-05-18T00:04:55.562895Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:55.562895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9JDbS57HG1flkCcoaE4v2BcSW7YZ+uVb3xz4xe++XIq31fqTU9ZfTorAT2ilKfGi8sLBzLKo4RC3k2NR0nh8Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:55.563558Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.03252","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d364e12329d51968c3f8b9a4a3ca11074716ddd1b5d5ca036afd24f5bb813238","sha256:23fe58c7cc77a51439f08a940e04407b63a54b9f6822a26e31143be336f9561a"],"state_sha256":"e17c6a0a2d7a6f94191a6bbc8b02e2bb9162409a26cf589782cffc68422a1902"}