{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:O6GPZSNQVBAVYUB5YLNKCXUSMW","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":"f3e6e5195291ef04a39c0ba2a6d276cc679fab7d0737d4108213bf31277efb3c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-12-10T12:00:00Z","title_canon_sha256":"995ba59f88912ed9bed90861c883945850a37523ead92b6c226650e399356430"},"schema_version":"1.0","source":{"id":"1112.2270","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2270","created_at":"2026-05-18T04:05:03Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2270v3","created_at":"2026-05-18T04:05:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2270","created_at":"2026-05-18T04:05:03Z"},{"alias_kind":"pith_short_12","alias_value":"O6GPZSNQVBAV","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"O6GPZSNQVBAVYUB5","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"O6GPZSNQ","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:3b3c98150e7b82f2febbd35c3c95014c1fb4a7b228db649961606d96941e6335","target":"graph","created_at":"2026-05-18T04:05:03Z","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":"As is well known, symmetry plays an important role in the theoretical physics. In particular, the well-known Noether symmetry is an useful tool to select models motivated at a fundamental level, and find the exact solution to the given Lagrangian. In the present work, we try to consider Noether symmetry in $f(T)$ theory. At first, we briefly discuss the Lagrangian formalism of $f(T)$ theory. In particular, the point-like Lagrangian is explicitly constructed. Based on this Lagrangian, the explicit form of $f(T)$ theory and the corresponding exact solution are found by requiring Noether symmetry","authors_text":"Hao Wei, Long-Fei Wang, Xiao-Jiao Guo","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-12-10T12:00:00Z","title":"Noether Symmetry in $f(T)$ Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2270","kind":"arxiv","version":3},"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:c483acdfc3fa7eb0183b6c82a04c63d29eedc29656ea9a9313c9115712f5f895","target":"record","created_at":"2026-05-18T04:05:03Z","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":"f3e6e5195291ef04a39c0ba2a6d276cc679fab7d0737d4108213bf31277efb3c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-12-10T12:00:00Z","title_canon_sha256":"995ba59f88912ed9bed90861c883945850a37523ead92b6c226650e399356430"},"schema_version":"1.0","source":{"id":"1112.2270","kind":"arxiv","version":3}},"canonical_sha256":"778cfcc9b0a8415c503dc2daa15e9265b672e25148684c76b3f449226fe139ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"778cfcc9b0a8415c503dc2daa15e9265b672e25148684c76b3f449226fe139ab","first_computed_at":"2026-05-18T04:05:03.319856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:03.319856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YFqWhkXr5nsIBXPO9io4ZeEH/PSWOmFMYZobZcHPvbqhRN3HB7T+jCJxpx9hEKGOPvyVm4Zi/x1eg2EnjDHyBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:03.320508Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.2270","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c483acdfc3fa7eb0183b6c82a04c63d29eedc29656ea9a9313c9115712f5f895","sha256:3b3c98150e7b82f2febbd35c3c95014c1fb4a7b228db649961606d96941e6335"],"state_sha256":"048723ad4559343c296ba51fb7d975e0c1f92c3129d406cdec1e20f944f86295"}