{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:TAC2UDFR3RQFMDEZJF5CYHERA5","short_pith_number":"pith:TAC2UDFR","schema_version":"1.0","canonical_sha256":"9805aa0cb1dc60560c99497a2c1c91075d1afb387ecfa814d70f291bc3cb873d","source":{"kind":"arxiv","id":"1611.04569","version":3},"attestation_state":"computed","paper":{"title":"Szekeres models: a covariant approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Pantelis S. Apostolopoulos","submitted_at":"2016-11-14T20:47:08Z","abstract_excerpt":"We exploit the 1+1+2 formalism to covariantly describe the inhomogeneous and anisotropic Szekeres models. It is shown that an \\emph{average scale length} can be defined \\emph{covariantly} which satisfies a 2d equation of motion driven from the \\emph{effective gravitational mass} (EGM) contained in the dust cloud. The contributions to the EGM are encoded to the energy density of the dust fluid and the free gravitational field $E_{ab}$. We show that the quasi-symmetric property of the Szekeres models is justified through the existence of 3 independent \\emph{Intrinsic Killing Vector Fields (IKVFs"},"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":"1611.04569","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-11-14T20:47:08Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"768831981f04026cec8c1479180e90feca1d0dd3f86c1fb85ea700b984355e70","abstract_canon_sha256":"83ac25fb95ea01f5597e96944652a56f0c7f8b590dafd25bed4b2b65f3087d00"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:22.438424Z","signature_b64":"hNXcCu+PX+acXT9eaVkDxAx3KunoLWetEaV5D4ptA5/7Rwo7awXKBKPAEMdYUR+r546P7L6X8zmoy5dA6AdKCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9805aa0cb1dc60560c99497a2c1c91075d1afb387ecfa814d70f291bc3cb873d","last_reissued_at":"2026-05-18T00:46:22.437915Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:22.437915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Szekeres models: a covariant approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Pantelis S. Apostolopoulos","submitted_at":"2016-11-14T20:47:08Z","abstract_excerpt":"We exploit the 1+1+2 formalism to covariantly describe the inhomogeneous and anisotropic Szekeres models. It is shown that an \\emph{average scale length} can be defined \\emph{covariantly} which satisfies a 2d equation of motion driven from the \\emph{effective gravitational mass} (EGM) contained in the dust cloud. The contributions to the EGM are encoded to the energy density of the dust fluid and the free gravitational field $E_{ab}$. We show that the quasi-symmetric property of the Szekeres models is justified through the existence of 3 independent \\emph{Intrinsic Killing Vector Fields (IKVFs"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.04569","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1611.04569","created_at":"2026-05-18T00:46:22.437994+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.04569v3","created_at":"2026-05-18T00:46:22.437994+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.04569","created_at":"2026-05-18T00:46:22.437994+00:00"},{"alias_kind":"pith_short_12","alias_value":"TAC2UDFR3RQF","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"TAC2UDFR3RQFMDEZ","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"TAC2UDFR","created_at":"2026-05-18T12:30:44.179134+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TAC2UDFR3RQFMDEZJF5CYHERA5","json":"https://pith.science/pith/TAC2UDFR3RQFMDEZJF5CYHERA5.json","graph_json":"https://pith.science/api/pith-number/TAC2UDFR3RQFMDEZJF5CYHERA5/graph.json","events_json":"https://pith.science/api/pith-number/TAC2UDFR3RQFMDEZJF5CYHERA5/events.json","paper":"https://pith.science/paper/TAC2UDFR"},"agent_actions":{"view_html":"https://pith.science/pith/TAC2UDFR3RQFMDEZJF5CYHERA5","download_json":"https://pith.science/pith/TAC2UDFR3RQFMDEZJF5CYHERA5.json","view_paper":"https://pith.science/paper/TAC2UDFR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.04569&json=true","fetch_graph":"https://pith.science/api/pith-number/TAC2UDFR3RQFMDEZJF5CYHERA5/graph.json","fetch_events":"https://pith.science/api/pith-number/TAC2UDFR3RQFMDEZJF5CYHERA5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TAC2UDFR3RQFMDEZJF5CYHERA5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TAC2UDFR3RQFMDEZJF5CYHERA5/action/storage_attestation","attest_author":"https://pith.science/pith/TAC2UDFR3RQFMDEZJF5CYHERA5/action/author_attestation","sign_citation":"https://pith.science/pith/TAC2UDFR3RQFMDEZJF5CYHERA5/action/citation_signature","submit_replication":"https://pith.science/pith/TAC2UDFR3RQFMDEZJF5CYHERA5/action/replication_record"}},"created_at":"2026-05-18T00:46:22.437994+00:00","updated_at":"2026-05-18T00:46:22.437994+00:00"}