{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:M6T6SUE3Z2L56AVVX33U6Q2737","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":"3c6e6d6c9ae63b8887bb556f0771def10785918ab0b960e803beaf26c289fc6f","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-02-12T02:52:01Z","title_canon_sha256":"3888d440696450912a18d83c6e58bd903620e8444967d798de2177453fe42e95"},"schema_version":"1.0","source":{"id":"1302.2688","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2688","created_at":"2026-05-18T01:51:42Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2688v2","created_at":"2026-05-18T01:51:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2688","created_at":"2026-05-18T01:51:42Z"},{"alias_kind":"pith_short_12","alias_value":"M6T6SUE3Z2L5","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"M6T6SUE3Z2L56AVV","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"M6T6SUE3","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:c4f977d110d4627ada6afbf6693a8650f88b28438b04173983f372efc2c12c3f","target":"graph","created_at":"2026-05-18T01:51:42Z","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":"We analyze the stability of the Einstein static closed and open universe in two types of exponential $f(T)$ gravity theories. We show that the stable solutions exist in these two models. In particular, we find that large regions of parameter space in equation of state $w=p/\\rho$ for the stable universe are allowed in the $f(T)$ theories.","authors_text":"Chao-Qiang Geng, Chung-Chi Lee, Jung-Tsung Li","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-02-12T02:52:01Z","title":"Einstein Static Universe in Exponential $f(T)$ Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2688","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:f3eef80b94ecdd6807bac56a8b5a7bd80fb628904a59a00d7e6dddbb2dfaec19","target":"record","created_at":"2026-05-18T01:51:42Z","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":"3c6e6d6c9ae63b8887bb556f0771def10785918ab0b960e803beaf26c289fc6f","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-02-12T02:52:01Z","title_canon_sha256":"3888d440696450912a18d83c6e58bd903620e8444967d798de2177453fe42e95"},"schema_version":"1.0","source":{"id":"1302.2688","kind":"arxiv","version":2}},"canonical_sha256":"67a7e9509bce97df02b5bef74f435fdfcde608fdf20993867b262bb41d115036","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67a7e9509bce97df02b5bef74f435fdfcde608fdf20993867b262bb41d115036","first_computed_at":"2026-05-18T01:51:42.349411Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:42.349411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oxaIj14ArukKLEaRpVGqWO/yqTiMJWPX0Iadq0gB5vP+mdooksmxGBSc6oMXrB1TB6/TeVeU8hjKAd4hfJSTCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:42.349877Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.2688","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3eef80b94ecdd6807bac56a8b5a7bd80fb628904a59a00d7e6dddbb2dfaec19","sha256:c4f977d110d4627ada6afbf6693a8650f88b28438b04173983f372efc2c12c3f"],"state_sha256":"bacdfa5ef47379feb078d3e55e7d4b8e9faa353abff6d79b0c4841818d872d1d"}