{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:SW7F4VTWDIEZEUWVNTKM7EBCWK","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":"639bad5555dd8bbc603ba861d634c66ebf087c04d23b8cfd359bb10b65169eb9","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2005-09-13T08:10:05Z","title_canon_sha256":"990aad2292c23762532b19dc305a4949395e2a63e928719301b168954abbfab0"},"schema_version":"1.0","source":{"id":"gr-qc/0509043","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0509043","created_at":"2026-05-18T01:39:20Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0509043v2","created_at":"2026-05-18T01:39:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0509043","created_at":"2026-05-18T01:39:20Z"},{"alias_kind":"pith_short_12","alias_value":"SW7F4VTWDIEZ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"SW7F4VTWDIEZEUWV","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"SW7F4VTW","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:f96195f38a8c90d9312162d1054004626d187f739a629c25b3477a03a4a8a777","target":"graph","created_at":"2026-05-18T01:39:20Z","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 the Tolman model there exist two quite different branches of solutions - generic Lemaitre-Tolman-Bondi (LTB) ones and T-spheres as a special case. We show that, nonetheless, T-spheres can be obtained as a limit of the class of LTB solutions having no origin and extending to infinity with the areal radius approaching constant. It is shown that all singularities of T-models are inherited from those of corresponding LBT solutions. In doing so, the disc type singularity of a T-sphere is the analog of shell-crossing.","authors_text":"O. B. Zaslavskii","cross_cats":["astro-ph","hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2005-09-13T08:10:05Z","title":"T-spheres as a limit of Lemaitre-Tolman-Bondi solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0509043","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":"sha256:96b480c0e90c3c0ef9c7af29d80415dab68b9359c6fcfa4ec1f0be786c30603c","target":"record","created_at":"2026-05-18T01:39:20Z","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":"639bad5555dd8bbc603ba861d634c66ebf087c04d23b8cfd359bb10b65169eb9","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2005-09-13T08:10:05Z","title_canon_sha256":"990aad2292c23762532b19dc305a4949395e2a63e928719301b168954abbfab0"},"schema_version":"1.0","source":{"id":"gr-qc/0509043","kind":"arxiv","version":2}},"canonical_sha256":"95be5e56761a099252d56cd4cf9022b2a024b58be1d54ab9ccbd05a452035869","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95be5e56761a099252d56cd4cf9022b2a024b58be1d54ab9ccbd05a452035869","first_computed_at":"2026-05-18T01:39:20.423235Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:20.423235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P13PNjs1Ecg68vOXH/bpKWifPPARWZAi28N8cE76arU/Yq2Nw1TVqkVP0rGm6Qtv3s08ib8+UL9Vlgg3kiBpBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:20.423775Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0509043","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96b480c0e90c3c0ef9c7af29d80415dab68b9359c6fcfa4ec1f0be786c30603c","sha256:f96195f38a8c90d9312162d1054004626d187f739a629c25b3477a03a4a8a777"],"state_sha256":"ba7c63bf791da99fa936aced43c3c4432030c1e4e9cef4c5d10819cfcf217b3e"}