{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:LHS4XEPQ22ODYYHSZFYGPODHTH","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":"5bbd6622682b673801a4706a165507947b2363b07a360462b33d590788f59f71","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-10-19T09:54:41Z","title_canon_sha256":"02f7d49b28c0fe4549983378b8223f1db2672daa98cd95f48efd0e11990587ff"},"schema_version":"1.0","source":{"id":"2210.11944","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.11944","created_at":"2026-07-05T06:31:29Z"},{"alias_kind":"arxiv_version","alias_value":"2210.11944v3","created_at":"2026-07-05T06:31:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.11944","created_at":"2026-07-05T06:31:29Z"},{"alias_kind":"pith_short_12","alias_value":"LHS4XEPQ22OD","created_at":"2026-07-05T06:31:29Z"},{"alias_kind":"pith_short_16","alias_value":"LHS4XEPQ22ODYYHS","created_at":"2026-07-05T06:31:29Z"},{"alias_kind":"pith_short_8","alias_value":"LHS4XEPQ","created_at":"2026-07-05T06:31:29Z"}],"graph_snapshots":[{"event_id":"sha256:5f89c4c70bcef5871acefe6c2d1a5716286e73a9b6af91325a550cf5fe8925f8","target":"graph","created_at":"2026-07-05T06:31:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.11944/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Noether Symmetry approach is applied to study an extended teleparallel $f(T,\\phi)$ gravity that contains the torsion scalar $T$ and the scalar field $\\phi$ in the context of an Friedmann-Lema\\^{i}tre-Robertson-Walker space-time. We investigate the Noether symmetry approach in $f(T,\\phi)$ gravity formalism with the specific form of $f(T,\\phi)$ and analyze how to demonstrate a nontrivial Noether vector. The Noether symmetry method is a helpful resource for generating models and finding out the exact solution of the Lagrangian. In this article, we go through how the Noether symmetry approach ","authors_text":"B.Mishra, Jackson Levi Said, L.K. Duchaniya","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-10-19T09:54:41Z","title":"Noether Symmetry Approach in Scalar-Torsion $f(T,\\phi)$ Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.11944","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":"sha256:233fc158dcf22302b949464277ec8d6011d57e80712cfdc4e652893df6690e45","target":"record","created_at":"2026-07-05T06:31:29Z","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":"5bbd6622682b673801a4706a165507947b2363b07a360462b33d590788f59f71","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-10-19T09:54:41Z","title_canon_sha256":"02f7d49b28c0fe4549983378b8223f1db2672daa98cd95f48efd0e11990587ff"},"schema_version":"1.0","source":{"id":"2210.11944","kind":"arxiv","version":3}},"canonical_sha256":"59e5cb91f0d69c3c60f2c97067b86799d27beba38f96f2e97fab53e2c62f448e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59e5cb91f0d69c3c60f2c97067b86799d27beba38f96f2e97fab53e2c62f448e","first_computed_at":"2026-07-05T06:31:29.668457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:31:29.668457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AZogY8dYGWWy+XECRzORCc/IRiDfJ/VLQJ8cn4nUdUz8YD/0VQu7jwyPhp6Pyo76CQ46lb7ylchuKk+f8/UNBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:31:29.669046Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.11944","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:233fc158dcf22302b949464277ec8d6011d57e80712cfdc4e652893df6690e45","sha256:5f89c4c70bcef5871acefe6c2d1a5716286e73a9b6af91325a550cf5fe8925f8"],"state_sha256":"a82e7290c33e284c5301e91f2c142a05983eb36c9c57f7ba68857b9c351cfacd"}