{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LL2X3VPVW627BN7B4RTMXQHPYM","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":"406af5e4a7058c94e913b3d7542e584a57bed387f0df34a999012dc43042d90d","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-22T03:59:26Z","title_canon_sha256":"cc7e0f5b0494f4c48430f1f6f57af90df370f4f7f98f3cf182a4073347642a47"},"schema_version":"1.0","source":{"id":"1506.06458","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06458","created_at":"2026-05-18T01:17:10Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06458v5","created_at":"2026-05-18T01:17:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06458","created_at":"2026-05-18T01:17:10Z"},{"alias_kind":"pith_short_12","alias_value":"LL2X3VPVW627","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LL2X3VPVW627BN7B","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LL2X3VPV","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:1d0c69296b2a87d255c0a22192c5d2ad248813bd8b04d769b4a186e9b3f62f68","target":"graph","created_at":"2026-05-18T01:17:10Z","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":"In this paper, we investigate various $f(R)$-brane models and compare their gravitational resonance structures with the corresponding general relativity (GR)-branes. {Starting from some known GR-brane solutions}, we derive thick $f(R)$-brane solutions such that the metric, scalar field, and scalar potential coincide with those of the corresponding GR-branes. {We find that for branes generated by a single or several canonical scalar fields, there is no obvious distinction between the GR-branes and corresponding $f(R)$-branes in terms of gravitational resonance structure.} Then we discuss the br","authors_text":"Bao-Min Gu, Hao Yu, Yuan Zhong, Yu-Xiao Liu","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-22T03:59:26Z","title":"Gravitational resonances on $f(R)$-brane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06458","kind":"arxiv","version":5},"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:b1bbe226009fb021fabf15ace7392f1cf9326be78d85119304a5eff9980ab1c4","target":"record","created_at":"2026-05-18T01:17:10Z","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":"406af5e4a7058c94e913b3d7542e584a57bed387f0df34a999012dc43042d90d","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-22T03:59:26Z","title_canon_sha256":"cc7e0f5b0494f4c48430f1f6f57af90df370f4f7f98f3cf182a4073347642a47"},"schema_version":"1.0","source":{"id":"1506.06458","kind":"arxiv","version":5}},"canonical_sha256":"5af57dd5f5b7b5f0b7e1e466cbc0efc301721afb044d67e932e0eb4238eb37d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5af57dd5f5b7b5f0b7e1e466cbc0efc301721afb044d67e932e0eb4238eb37d0","first_computed_at":"2026-05-18T01:17:10.036431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:10.036431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WubvNbFD+pu0TKgWUt1aPY35bDa16vYKaykp0ToxrwWF4Q/SFYvy4e3lmcEOpYHxKa8Xg0TNwy/rfzlyn5wiBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:10.037165Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.06458","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1bbe226009fb021fabf15ace7392f1cf9326be78d85119304a5eff9980ab1c4","sha256:1d0c69296b2a87d255c0a22192c5d2ad248813bd8b04d769b4a186e9b3f62f68"],"state_sha256":"41870dddfc7504e8ae99e64fb36961ee88ea6e393bbbfbcaadbd63b777805d0b"}