{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:YGH3XO66D2GTC4NRNAEXDBX4AO","short_pith_number":"pith:YGH3XO66","schema_version":"1.0","canonical_sha256":"c18fbbbbde1e8d3171b168097186fc0398c7ddbace6c3e9158b0288ebc60acee","source":{"kind":"arxiv","id":"1302.6186","version":3},"attestation_state":"computed","paper":{"title":"Local conditions separating expansion from collapse in spherically symmetric models with anisotropic pressures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Filipe C. Mena, Jos\\'e P. Mimoso, Morgan Le Delliou","submitted_at":"2013-02-25T18:41:31Z","abstract_excerpt":"We investigate spherically symmetric spacetimes with an anisotropic fluid and discuss the existence and stability of a dividing shell separating expanding and collapsing regions. We resort to a 3+1 splitting and obtain gauge invariant conditions relating intrinsic spacetimes quantities to properties of the matter source. We find that the dividing shell is defined by a generalization of the Tolman-Oppenheimer-Volkoff equilibrium condition. The latter establishes a balance between the pressure gradients, both isotropic and anisotropic, and the strength of the fields induced by the Misner-Sharp m"},"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":"1302.6186","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-02-25T18:41:31Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"a069b9a9062c900204b841f54d7505faa95e5e01fe70b21bfd153a8578aaa195","abstract_canon_sha256":"8a24c7418b53a668c2d5f75f25fa6f33132d31d01e171a04018b7ec4a4d4f9a4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:28.773545Z","signature_b64":"5n9tDjLA59+b3xqW//iaAcrlrnBOAPJrjmEtsbMUiYnv+b6H1fKPmRW0eijP5W7bU+3ij+Uuvh8fh3Zvzw1eAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c18fbbbbde1e8d3171b168097186fc0398c7ddbace6c3e9158b0288ebc60acee","last_reissued_at":"2026-05-18T01:51:28.772814Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:28.772814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local conditions separating expansion from collapse in spherically symmetric models with anisotropic pressures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Filipe C. Mena, Jos\\'e P. Mimoso, Morgan Le Delliou","submitted_at":"2013-02-25T18:41:31Z","abstract_excerpt":"We investigate spherically symmetric spacetimes with an anisotropic fluid and discuss the existence and stability of a dividing shell separating expanding and collapsing regions. We resort to a 3+1 splitting and obtain gauge invariant conditions relating intrinsic spacetimes quantities to properties of the matter source. We find that the dividing shell is defined by a generalization of the Tolman-Oppenheimer-Volkoff equilibrium condition. The latter establishes a balance between the pressure gradients, both isotropic and anisotropic, and the strength of the fields induced by the Misner-Sharp m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6186","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":"1302.6186","created_at":"2026-05-18T01:51:28.772918+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.6186v3","created_at":"2026-05-18T01:51:28.772918+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6186","created_at":"2026-05-18T01:51:28.772918+00:00"},{"alias_kind":"pith_short_12","alias_value":"YGH3XO66D2GT","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"YGH3XO66D2GTC4NR","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"YGH3XO66","created_at":"2026-05-18T12:28:06.772260+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/YGH3XO66D2GTC4NRNAEXDBX4AO","json":"https://pith.science/pith/YGH3XO66D2GTC4NRNAEXDBX4AO.json","graph_json":"https://pith.science/api/pith-number/YGH3XO66D2GTC4NRNAEXDBX4AO/graph.json","events_json":"https://pith.science/api/pith-number/YGH3XO66D2GTC4NRNAEXDBX4AO/events.json","paper":"https://pith.science/paper/YGH3XO66"},"agent_actions":{"view_html":"https://pith.science/pith/YGH3XO66D2GTC4NRNAEXDBX4AO","download_json":"https://pith.science/pith/YGH3XO66D2GTC4NRNAEXDBX4AO.json","view_paper":"https://pith.science/paper/YGH3XO66","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.6186&json=true","fetch_graph":"https://pith.science/api/pith-number/YGH3XO66D2GTC4NRNAEXDBX4AO/graph.json","fetch_events":"https://pith.science/api/pith-number/YGH3XO66D2GTC4NRNAEXDBX4AO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YGH3XO66D2GTC4NRNAEXDBX4AO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YGH3XO66D2GTC4NRNAEXDBX4AO/action/storage_attestation","attest_author":"https://pith.science/pith/YGH3XO66D2GTC4NRNAEXDBX4AO/action/author_attestation","sign_citation":"https://pith.science/pith/YGH3XO66D2GTC4NRNAEXDBX4AO/action/citation_signature","submit_replication":"https://pith.science/pith/YGH3XO66D2GTC4NRNAEXDBX4AO/action/replication_record"}},"created_at":"2026-05-18T01:51:28.772918+00:00","updated_at":"2026-05-18T01:51:28.772918+00:00"}