{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:P77SGS2CCCKXT5GHSCBRUX5XVS","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":"da028aa52a2e51975c87c3f38ea5407fbe4aff1aff65d7c26ad80ef79f890d5a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-24T07:50:07Z","title_canon_sha256":"a4e79bdce46ef95b4d2175367cb9d547ce18fbf9cc1053770420f3a0dfe8e9ba"},"schema_version":"1.0","source":{"id":"1405.6277","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6277","created_at":"2026-05-18T01:29:21Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6277v3","created_at":"2026-05-18T01:29:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6277","created_at":"2026-05-18T01:29:21Z"},{"alias_kind":"pith_short_12","alias_value":"P77SGS2CCCKX","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"P77SGS2CCCKXT5GH","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"P77SGS2C","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:769ea6eb6b63ee142dabcfc598cd3355db0f062311b71211e4e57357dba60795","target":"graph","created_at":"2026-05-18T01:29:21Z","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":"Recently, a family of interesting analytical brane solutions were found in $f(R)$ gravity with $f(R)=R+\\alpha R^2$ in Ref. [Phys. Lett. B 729, 127 (2014)]. In these solutions, inner brane structure can be turned on by tuning the value of the parameter $\\alpha$. In this paper, we investigate how the parameter $\\alpha$ affects the localization and the quasilocalization of the tensorial gravitons around these solutions. It is found that, in a range of $\\alpha$, despite the brane has an inner structure, there is no graviton resonance. However, in some other regions of the parameter space, although","authors_text":"Hao Yu, Yuan Zhong, Yu-Xiao Liu, Zeng-Guang Xu","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-24T07:50:07Z","title":"The structure of $f(R)$-brane model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6277","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":"sha256:801b467cf04b0bea533d689d9b7d171f817a9b6e9f4f85e3fa07a864d3a1e619","target":"record","created_at":"2026-05-18T01:29:21Z","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":"da028aa52a2e51975c87c3f38ea5407fbe4aff1aff65d7c26ad80ef79f890d5a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-24T07:50:07Z","title_canon_sha256":"a4e79bdce46ef95b4d2175367cb9d547ce18fbf9cc1053770420f3a0dfe8e9ba"},"schema_version":"1.0","source":{"id":"1405.6277","kind":"arxiv","version":3}},"canonical_sha256":"7fff234b42109579f4c790831a5fb7acaccf13ca105ea0b7358db434d63e880e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fff234b42109579f4c790831a5fb7acaccf13ca105ea0b7358db434d63e880e","first_computed_at":"2026-05-18T01:29:21.817388Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:21.817388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8c5yWU1CCe1iMyKd46003mzmJXgVW3n4tqRKvWFJpwlmfrdEwN9l3BBzTb9HzfT4+59RruE4JgWKhZ5Bvq31DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:21.817869Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.6277","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:801b467cf04b0bea533d689d9b7d171f817a9b6e9f4f85e3fa07a864d3a1e619","sha256:769ea6eb6b63ee142dabcfc598cd3355db0f062311b71211e4e57357dba60795"],"state_sha256":"4695d7bb0f1719b1484de71f7011f3a0bb6097f834b5ac87d41c458fd669deb4"}