{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:C32KZLFADIP3DFCXWNGH4QCQ7N","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":"6cbecd9a0555989d8efc3a1d521935433180b12e1e555cca232a69fd62e79038","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-25T11:29:50Z","title_canon_sha256":"71e09f06cca333df3d5ff14f2a9a8e81afbb56e2943bc22da2e91ada95863de7"},"schema_version":"1.0","source":{"id":"1805.00332","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.00332","created_at":"2026-05-18T00:17:09Z"},{"alias_kind":"arxiv_version","alias_value":"1805.00332v1","created_at":"2026-05-18T00:17:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.00332","created_at":"2026-05-18T00:17:09Z"},{"alias_kind":"pith_short_12","alias_value":"C32KZLFADIP3","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"C32KZLFADIP3DFCX","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"C32KZLFA","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:512ed5f668d564e8227a3bbf9c7b61e6a141fdc07c797c11f4399fb801aa6b00","target":"graph","created_at":"2026-05-18T00:17:09Z","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":"Cosmological approaches of autonomous dynamical system in the framework of $f(T)$ gravity are investigated in this paper. Our methods applied to flat Friedmann-Robertson-Walker equations in $f(T)$ gravity, consist to extract dynamical systems whose time-dependence is contained in a single parameter $m$ depending on the Hubble rate of Universe and its second derivative. In our attempt to investigate the autonomous aspect of the dynamical systems reconstructed in both vacuum and non-vacuum $f(T)$ gravities, two values of the parameter $m$ have been considered for our present analysis. In the so-","authors_text":"J. Tossa, M. G. Ganiou, M. J. S. Houndjo, P. H. Logbo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-25T11:29:50Z","title":"Cosmological Study of Autonomous Dynamical Systems in Modified Tele-Parallel Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.00332","kind":"arxiv","version":1},"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":"sha256:99d5d6ba96512c481f4e1191462ce0aae38cfcd8755bad183e7ff780c986d57a","target":"record","created_at":"2026-05-18T00:17:09Z","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":"6cbecd9a0555989d8efc3a1d521935433180b12e1e555cca232a69fd62e79038","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-25T11:29:50Z","title_canon_sha256":"71e09f06cca333df3d5ff14f2a9a8e81afbb56e2943bc22da2e91ada95863de7"},"schema_version":"1.0","source":{"id":"1805.00332","kind":"arxiv","version":1}},"canonical_sha256":"16f4acaca01a1fb19457b34c7e4050fb7fafab690a4dd832602274e937b3c1d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16f4acaca01a1fb19457b34c7e4050fb7fafab690a4dd832602274e937b3c1d8","first_computed_at":"2026-05-18T00:17:09.870034Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:09.870034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xFHEbwQWd/xLjIfTwQJhzaRRwt4KTfIlQVjebbQ+CKoT8kcpC7UCNCkSz6j9AHIUhtdy1ADKlmFniKEmjZgvBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:09.870721Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.00332","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99d5d6ba96512c481f4e1191462ce0aae38cfcd8755bad183e7ff780c986d57a","sha256:512ed5f668d564e8227a3bbf9c7b61e6a141fdc07c797c11f4399fb801aa6b00"],"state_sha256":"8996638f275e65d9f6eb3ef45a5cdc12fcf934d304a5656365d7c9362fb48eec"}