{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NBBXUA4KG2FS5UH75IL3NKMXVJ","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":"635da3816a5126f62419ab9bbe0fd03db5d4c08a101f03d57c953acfa9b81155","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-28T13:35:08Z","title_canon_sha256":"6be0f43ce0b313dbbd75e0f6bfae193303e7e9713dc51cb5f47d0702181be206"},"schema_version":"1.0","source":{"id":"1203.6263","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6263","created_at":"2026-05-18T03:50:25Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6263v2","created_at":"2026-05-18T03:50:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6263","created_at":"2026-05-18T03:50:25Z"},{"alias_kind":"pith_short_12","alias_value":"NBBXUA4KG2FS","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NBBXUA4KG2FS5UH7","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NBBXUA4K","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:41be70bb05401f6333dd328a29bd6cd2da1d11222321217655dfd3b24ad33d2f","target":"graph","created_at":"2026-05-18T03:50:25Z","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 first paper we present a Lagrangian framework for the description of structure formation in general relativity, restricting attention to irrotational dust matter. As an application we present a self-contained derivation of a general-relativistic analogue of Zel'dovich's approximation for the description of structure formation in cosmology, and compare it with previous suggestions in the literature. This approximation is then investigated: paraphrasing the derivation in the Newtonian framework we provide general-relativistic analogues of the basic system of equations for a single dynami","authors_text":"Matthias Ostermann, Thomas Buchert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-28T13:35:08Z","title":"Lagrangian theory of structure formation in relativistic cosmology I: Lagrangian framework and definition of a nonperturbative approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6263","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":"sha256:28a2a7243fc0940fd7113a6979581ae45d3964dde98749767606dc88ff2e5fc1","target":"record","created_at":"2026-05-18T03:50:25Z","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":"635da3816a5126f62419ab9bbe0fd03db5d4c08a101f03d57c953acfa9b81155","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-28T13:35:08Z","title_canon_sha256":"6be0f43ce0b313dbbd75e0f6bfae193303e7e9713dc51cb5f47d0702181be206"},"schema_version":"1.0","source":{"id":"1203.6263","kind":"arxiv","version":2}},"canonical_sha256":"68437a038a368b2ed0ffea17b6a997aa599ca08d295c4dcde63337712b1c6435","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68437a038a368b2ed0ffea17b6a997aa599ca08d295c4dcde63337712b1c6435","first_computed_at":"2026-05-18T03:50:25.226089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:50:25.226089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qvSPIvyv41ka056d9ZrxS490OOdbxTgoo8wmL2ny166RfAub497TQtH7YmCxlq3FGnza6KX32KbNhiyiq5jlDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:50:25.226854Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.6263","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28a2a7243fc0940fd7113a6979581ae45d3964dde98749767606dc88ff2e5fc1","sha256:41be70bb05401f6333dd328a29bd6cd2da1d11222321217655dfd3b24ad33d2f"],"state_sha256":"137b97ec964e214fa6a58cec0c4941a64077e06687b071487e270e20dcdce68a"}