{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:MKNWOU3IYYKIS3SX6GU5VRYQIK","short_pith_number":"pith:MKNWOU3I","canonical_record":{"source":{"id":"1306.1847","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-07T21:40:56Z","cross_cats_sorted":[],"title_canon_sha256":"94932b45220ffc21c41e07bbdce5fa29e6ac24959b86087ce914d8ab0739b7ec","abstract_canon_sha256":"add85314add293110e112646fb32683f519ea2149bee2531bfe1b3ca04436e42"},"schema_version":"1.0"},"canonical_sha256":"629b675368c614896e57f1a9dac71042b4ae95b26f67f8162ef9da39523833f0","source":{"kind":"arxiv","id":"1306.1847","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1847","created_at":"2026-05-18T01:49:24Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1847v2","created_at":"2026-05-18T01:49:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1847","created_at":"2026-05-18T01:49:24Z"},{"alias_kind":"pith_short_12","alias_value":"MKNWOU3IYYKI","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MKNWOU3IYYKIS3SX","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MKNWOU3I","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:MKNWOU3IYYKIS3SX6GU5VRYQIK","target":"record","payload":{"canonical_record":{"source":{"id":"1306.1847","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-07T21:40:56Z","cross_cats_sorted":[],"title_canon_sha256":"94932b45220ffc21c41e07bbdce5fa29e6ac24959b86087ce914d8ab0739b7ec","abstract_canon_sha256":"add85314add293110e112646fb32683f519ea2149bee2531bfe1b3ca04436e42"},"schema_version":"1.0"},"canonical_sha256":"629b675368c614896e57f1a9dac71042b4ae95b26f67f8162ef9da39523833f0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:24.728548Z","signature_b64":"n3hnwhUSJ1VINeeyEAN7x/odF/G0TAsKBhzfxfWNENFdgugyYRC/vTwT7KLT99kcESWQZyj2zkaCtr8KGOs3Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"629b675368c614896e57f1a9dac71042b4ae95b26f67f8162ef9da39523833f0","last_reissued_at":"2026-05-18T01:49:24.727821Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:24.727821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.1847","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:49:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7KbWX73zH9Ust93V5jALALckUgtuaT7RBlQDeOa+XtV/ziF+5CtxyO9tK3yXrh+lKjpUFDyKfg0jPkQzIp1sBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:09:38.986299Z"},"content_sha256":"67a96b014f974f57fbf03259a053dd548ecec9d2a50e8d6967bd3e6c40543442","schema_version":"1.0","event_id":"sha256:67a96b014f974f57fbf03259a053dd548ecec9d2a50e8d6967bd3e6c40543442"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:MKNWOU3IYYKIS3SX6GU5VRYQIK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the many-field f(R) brane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. J. da Silva, A. Yu. Petrov, D. Bazeia, R. Menezes","submitted_at":"2013-06-07T21:40:56Z","abstract_excerpt":"We consider the Randall-Sundrum braneworld theory with a single extra dimension of infinite extent to investigate generalized $f(R)$ braneworld models in the presence of several real scalar fields. In particular, we solve the modified Einstein equations for the case of flat brane, with zero cosmological constant, and for the case of bent brane, with a nonvanishing cosmological constant. In both cases we found explicit solutions for the scalar fields with analytical expressions for the respective warp factors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1847","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:49:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"43eHV9U05eY5Zv2iOuTO61DN2tRv6rtxhG2SxdwEeoJEPvgzvsFdGaDJiziG18cgvNU+knM2qju2qOW+tnnoAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:09:38.987008Z"},"content_sha256":"9434400ce3b8ad70a84570e31a8d8bf0961133bb5cee834fa1b7abc946e20347","schema_version":"1.0","event_id":"sha256:9434400ce3b8ad70a84570e31a8d8bf0961133bb5cee834fa1b7abc946e20347"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MKNWOU3IYYKIS3SX6GU5VRYQIK/bundle.json","state_url":"https://pith.science/pith/MKNWOU3IYYKIS3SX6GU5VRYQIK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MKNWOU3IYYKIS3SX6GU5VRYQIK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T00:09:38Z","links":{"resolver":"https://pith.science/pith/MKNWOU3IYYKIS3SX6GU5VRYQIK","bundle":"https://pith.science/pith/MKNWOU3IYYKIS3SX6GU5VRYQIK/bundle.json","state":"https://pith.science/pith/MKNWOU3IYYKIS3SX6GU5VRYQIK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MKNWOU3IYYKIS3SX6GU5VRYQIK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MKNWOU3IYYKIS3SX6GU5VRYQIK","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":"add85314add293110e112646fb32683f519ea2149bee2531bfe1b3ca04436e42","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-07T21:40:56Z","title_canon_sha256":"94932b45220ffc21c41e07bbdce5fa29e6ac24959b86087ce914d8ab0739b7ec"},"schema_version":"1.0","source":{"id":"1306.1847","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1847","created_at":"2026-05-18T01:49:24Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1847v2","created_at":"2026-05-18T01:49:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1847","created_at":"2026-05-18T01:49:24Z"},{"alias_kind":"pith_short_12","alias_value":"MKNWOU3IYYKI","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MKNWOU3IYYKIS3SX","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MKNWOU3I","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:9434400ce3b8ad70a84570e31a8d8bf0961133bb5cee834fa1b7abc946e20347","target":"graph","created_at":"2026-05-18T01:49:24Z","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 consider the Randall-Sundrum braneworld theory with a single extra dimension of infinite extent to investigate generalized $f(R)$ braneworld models in the presence of several real scalar fields. In particular, we solve the modified Einstein equations for the case of flat brane, with zero cosmological constant, and for the case of bent brane, with a nonvanishing cosmological constant. In both cases we found explicit solutions for the scalar fields with analytical expressions for the respective warp factors.","authors_text":"A. J. da Silva, A. Yu. Petrov, D. Bazeia, R. Menezes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-07T21:40:56Z","title":"On the many-field f(R) brane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1847","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":"sha256:67a96b014f974f57fbf03259a053dd548ecec9d2a50e8d6967bd3e6c40543442","target":"record","created_at":"2026-05-18T01:49:24Z","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":"add85314add293110e112646fb32683f519ea2149bee2531bfe1b3ca04436e42","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-07T21:40:56Z","title_canon_sha256":"94932b45220ffc21c41e07bbdce5fa29e6ac24959b86087ce914d8ab0739b7ec"},"schema_version":"1.0","source":{"id":"1306.1847","kind":"arxiv","version":2}},"canonical_sha256":"629b675368c614896e57f1a9dac71042b4ae95b26f67f8162ef9da39523833f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"629b675368c614896e57f1a9dac71042b4ae95b26f67f8162ef9da39523833f0","first_computed_at":"2026-05-18T01:49:24.727821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:24.727821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n3hnwhUSJ1VINeeyEAN7x/odF/G0TAsKBhzfxfWNENFdgugyYRC/vTwT7KLT99kcESWQZyj2zkaCtr8KGOs3Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:24.728548Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.1847","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67a96b014f974f57fbf03259a053dd548ecec9d2a50e8d6967bd3e6c40543442","sha256:9434400ce3b8ad70a84570e31a8d8bf0961133bb5cee834fa1b7abc946e20347"],"state_sha256":"ef66696118c383f3f7200ce42c8df32557808b80355a087abac51549e3698b11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sCqL4m5uAbanY7xEDY1y1+GDN82LSy+/1mfH10qan7OgMv5VGqCB7Zc8hjWap1TQFtkwxQSqpZFU9uZsv7I4Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T00:09:38.990755Z","bundle_sha256":"3da3318afdf4d78e4d5e7435adb7af67eadc0cfc42774f7fbd3d02d83d91f7f1"}}