{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:FE4EJU3GPPL4ZI6EMVJRRW56TK","short_pith_number":"pith:FE4EJU3G","canonical_record":{"source":{"id":"1201.6448","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-31T05:07:02Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"4ee991d3a3bddda01171b14aadf6f507f9aff87b84690a47077adf792248ce6a","abstract_canon_sha256":"40167c51302fc8a4901ac483f496b6b00e35907b3685e64bf7acaa6b6552cd7e"},"schema_version":"1.0"},"canonical_sha256":"293844d3667bd7cca3c4655318dbbe9a8f0ce01ee5e5c7f9046cd90d189841ea","source":{"kind":"arxiv","id":"1201.6448","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.6448","created_at":"2026-05-18T03:16:17Z"},{"alias_kind":"arxiv_version","alias_value":"1201.6448v2","created_at":"2026-05-18T03:16:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.6448","created_at":"2026-05-18T03:16:17Z"},{"alias_kind":"pith_short_12","alias_value":"FE4EJU3GPPL4","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FE4EJU3GPPL4ZI6E","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FE4EJU3G","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:FE4EJU3GPPL4ZI6EMVJRRW56TK","target":"record","payload":{"canonical_record":{"source":{"id":"1201.6448","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-31T05:07:02Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"4ee991d3a3bddda01171b14aadf6f507f9aff87b84690a47077adf792248ce6a","abstract_canon_sha256":"40167c51302fc8a4901ac483f496b6b00e35907b3685e64bf7acaa6b6552cd7e"},"schema_version":"1.0"},"canonical_sha256":"293844d3667bd7cca3c4655318dbbe9a8f0ce01ee5e5c7f9046cd90d189841ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:17.629745Z","signature_b64":"syGJAafiXZjz9+RfVhEvR3KEelch9dUJ8nDGdpys/SZe/R+v9u2n8opcGJSECi1kFc0Tirx0agSamrjr0vEIAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"293844d3667bd7cca3c4655318dbbe9a8f0ce01ee5e5c7f9046cd90d189841ea","last_reissued_at":"2026-05-18T03:16:17.628975Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:17.628975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.6448","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":"2026-05-18T03:16:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gZ8DXkvZzURdkD+xZTmfuVF7xtnt8YlCazJmziz1F2ERj2EnAKHLa2HyeGaN8J4t0NKMXirxxtc9WHZ1K5qPBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T19:06:58.012894Z"},"content_sha256":"6c00d2b5f1e35a301275e8681440c1098dc6f5c41bbc8d130183686262f9e7a7","schema_version":"1.0","event_id":"sha256:6c00d2b5f1e35a301275e8681440c1098dc6f5c41bbc8d130183686262f9e7a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:FE4EJU3GPPL4ZI6EMVJRRW56TK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmological dynamics of brane f(R) gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Hamid Reza Sepangi, Shahab Shahidi, Zahra Haghani","submitted_at":"2012-01-31T05:07:02Z","abstract_excerpt":"The cosmological dynamics of a brane world scenario where the bulk action is taken as a generic function of the Ricci scalar is considered in a framework where the use of the $\\mathbb{Z}_2$ symmetry and Israel junction conditions are relaxed. The corresponding cosmological solutions for some specific forms of $f(\\mc{R})$ are obtained and shown to be in the form of exponential as well as power law for a vacuum brane space-time. It is shown that the existence of matter dominated epoch for a bulk action in the form of a power law for $\\cal R$ can only be obtained in the presence of ordinary matte"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.6448","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":"2026-05-18T03:16:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QFhCy2IQhbW65pwLtFNDNUqWA+PiC3flmOuDtJ4rQmhLE+chPm1uGW8Wdlxe/Coo5dzOmUjbe1kL39R3GfDWCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T19:06:58.013242Z"},"content_sha256":"1b1a6e6e3634f40f0e808e5fccdf88e9aab1d52bc5975fa53ffc6d2daa8c3a5a","schema_version":"1.0","event_id":"sha256:1b1a6e6e3634f40f0e808e5fccdf88e9aab1d52bc5975fa53ffc6d2daa8c3a5a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FE4EJU3GPPL4ZI6EMVJRRW56TK/bundle.json","state_url":"https://pith.science/pith/FE4EJU3GPPL4ZI6EMVJRRW56TK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FE4EJU3GPPL4ZI6EMVJRRW56TK/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":"2026-06-26T19:06:58Z","links":{"resolver":"https://pith.science/pith/FE4EJU3GPPL4ZI6EMVJRRW56TK","bundle":"https://pith.science/pith/FE4EJU3GPPL4ZI6EMVJRRW56TK/bundle.json","state":"https://pith.science/pith/FE4EJU3GPPL4ZI6EMVJRRW56TK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FE4EJU3GPPL4ZI6EMVJRRW56TK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FE4EJU3GPPL4ZI6EMVJRRW56TK","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":"40167c51302fc8a4901ac483f496b6b00e35907b3685e64bf7acaa6b6552cd7e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-31T05:07:02Z","title_canon_sha256":"4ee991d3a3bddda01171b14aadf6f507f9aff87b84690a47077adf792248ce6a"},"schema_version":"1.0","source":{"id":"1201.6448","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.6448","created_at":"2026-05-18T03:16:17Z"},{"alias_kind":"arxiv_version","alias_value":"1201.6448v2","created_at":"2026-05-18T03:16:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.6448","created_at":"2026-05-18T03:16:17Z"},{"alias_kind":"pith_short_12","alias_value":"FE4EJU3GPPL4","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FE4EJU3GPPL4ZI6E","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FE4EJU3G","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:1b1a6e6e3634f40f0e808e5fccdf88e9aab1d52bc5975fa53ffc6d2daa8c3a5a","target":"graph","created_at":"2026-05-18T03:16:17Z","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":"The cosmological dynamics of a brane world scenario where the bulk action is taken as a generic function of the Ricci scalar is considered in a framework where the use of the $\\mathbb{Z}_2$ symmetry and Israel junction conditions are relaxed. The corresponding cosmological solutions for some specific forms of $f(\\mc{R})$ are obtained and shown to be in the form of exponential as well as power law for a vacuum brane space-time. It is shown that the existence of matter dominated epoch for a bulk action in the form of a power law for $\\cal R$ can only be obtained in the presence of ordinary matte","authors_text":"Hamid Reza Sepangi, Shahab Shahidi, Zahra Haghani","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-31T05:07:02Z","title":"Cosmological dynamics of brane f(R) gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.6448","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":"sha256:6c00d2b5f1e35a301275e8681440c1098dc6f5c41bbc8d130183686262f9e7a7","target":"record","created_at":"2026-05-18T03:16:17Z","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":"40167c51302fc8a4901ac483f496b6b00e35907b3685e64bf7acaa6b6552cd7e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-31T05:07:02Z","title_canon_sha256":"4ee991d3a3bddda01171b14aadf6f507f9aff87b84690a47077adf792248ce6a"},"schema_version":"1.0","source":{"id":"1201.6448","kind":"arxiv","version":2}},"canonical_sha256":"293844d3667bd7cca3c4655318dbbe9a8f0ce01ee5e5c7f9046cd90d189841ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"293844d3667bd7cca3c4655318dbbe9a8f0ce01ee5e5c7f9046cd90d189841ea","first_computed_at":"2026-05-18T03:16:17.628975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:16:17.628975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"syGJAafiXZjz9+RfVhEvR3KEelch9dUJ8nDGdpys/SZe/R+v9u2n8opcGJSECi1kFc0Tirx0agSamrjr0vEIAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:16:17.629745Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.6448","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c00d2b5f1e35a301275e8681440c1098dc6f5c41bbc8d130183686262f9e7a7","sha256:1b1a6e6e3634f40f0e808e5fccdf88e9aab1d52bc5975fa53ffc6d2daa8c3a5a"],"state_sha256":"0375c8d712a6bc07755a25c3efa0ab29084eda802d472cfd5ddf7126af70090b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SAgV3+oG4WrpGCNiKkvpHRZ9DLtK89+1PHcc4dnvklnQZ2GKBoBpPlgHnmqrQdNXKm3kCBbEuF1ZMrR0yUx9AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T19:06:58.015375Z","bundle_sha256":"c1990785a65f447afd36892722d670d037afead074b1749026b8ab015709a86a"}}