{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TINBGL4OQ6WOVVQCEAW2MTCH44","short_pith_number":"pith:TINBGL4O","canonical_record":{"source":{"id":"1304.5440","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-19T15:02:49Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"105f7eeae928959b017a15e5448e7ed5a56636c3ed1ed0e5b83b73d7fa0276b8","abstract_canon_sha256":"f7e693ea4b60d3139a8d47226cea907664428d3f5dc592fa2867eacfba010f8c"},"schema_version":"1.0"},"canonical_sha256":"9a1a132f8e87acead602202da64c47e707b8bf62bff7eb0741513504f16e1691","source":{"kind":"arxiv","id":"1304.5440","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.5440","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"arxiv_version","alias_value":"1304.5440v3","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.5440","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"pith_short_12","alias_value":"TINBGL4OQ6WO","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TINBGL4OQ6WOVVQC","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TINBGL4O","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TINBGL4OQ6WOVVQCEAW2MTCH44","target":"record","payload":{"canonical_record":{"source":{"id":"1304.5440","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-19T15:02:49Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"105f7eeae928959b017a15e5448e7ed5a56636c3ed1ed0e5b83b73d7fa0276b8","abstract_canon_sha256":"f7e693ea4b60d3139a8d47226cea907664428d3f5dc592fa2867eacfba010f8c"},"schema_version":"1.0"},"canonical_sha256":"9a1a132f8e87acead602202da64c47e707b8bf62bff7eb0741513504f16e1691","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:34.120822Z","signature_b64":"3qJUVu5gt2NUp7FKf0/4bB0EwBBOdYmHOLPihUR0F0CspDhivVW1M6LlkIMLVIWvD5lbv8+JFYERO0b6aopTCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a1a132f8e87acead602202da64c47e707b8bf62bff7eb0741513504f16e1691","last_reissued_at":"2026-05-18T00:47:34.120236Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:34.120236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.5440","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3L0m0Jxa0rhgKznjXGLd52AQFyOta2URQIDMtSCu3sxLeaISOgKOYbv2fUblM0Stc2gjwwjX5HzFTo9299Z+Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T06:34:07.554064Z"},"content_sha256":"9064d7df61a60a0044050ce06e114121033496114449d730f592e0608e441ae8","schema_version":"1.0","event_id":"sha256:9064d7df61a60a0044050ce06e114121033496114449d730f592e0608e441ae8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TINBGL4OQ6WOVVQCEAW2MTCH44","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher-Order Gauss-Bonnet Cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Andrey N. Makarenko, Mauro Francaviglia, Salvatore Capozziello","submitted_at":"2013-04-19T15:02:49Z","abstract_excerpt":"We study cosmological models derived from higher-order Gauss-Bonnet gravity $F(R,G)$ by using the Lagrange multiplier approach without assuming the presence of additional fields with the exception of standard perfect fluid matter. The presence of Lagrange multipliers reduces the number of allowed solutions. We need to introduce compatibility conditions of the FRW equations, which impose strict restrictions on the metric or require the introduction of additional exotic matter. Several classes of $F(R,G)$ models are generated and discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5440","kind":"arxiv","version":3},"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":"2026-05-18T00:47:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ykthqAtP0QAWZrXhIdMFkHCsYjlEbRl4HUDJ+njqy888Zkw6lvB2DYxl1PMI09dCPo6l34o/TumP1GgSrKJYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T06:34:07.554767Z"},"content_sha256":"aa4a44ae0e82d4104ccae48e60caa1a99a3a8ae931e84b95f5beb8b269edbf8a","schema_version":"1.0","event_id":"sha256:aa4a44ae0e82d4104ccae48e60caa1a99a3a8ae931e84b95f5beb8b269edbf8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TINBGL4OQ6WOVVQCEAW2MTCH44/bundle.json","state_url":"https://pith.science/pith/TINBGL4OQ6WOVVQCEAW2MTCH44/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TINBGL4OQ6WOVVQCEAW2MTCH44/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":"2026-05-25T06:34:07Z","links":{"resolver":"https://pith.science/pith/TINBGL4OQ6WOVVQCEAW2MTCH44","bundle":"https://pith.science/pith/TINBGL4OQ6WOVVQCEAW2MTCH44/bundle.json","state":"https://pith.science/pith/TINBGL4OQ6WOVVQCEAW2MTCH44/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TINBGL4OQ6WOVVQCEAW2MTCH44/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TINBGL4OQ6WOVVQCEAW2MTCH44","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":"f7e693ea4b60d3139a8d47226cea907664428d3f5dc592fa2867eacfba010f8c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-19T15:02:49Z","title_canon_sha256":"105f7eeae928959b017a15e5448e7ed5a56636c3ed1ed0e5b83b73d7fa0276b8"},"schema_version":"1.0","source":{"id":"1304.5440","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.5440","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"arxiv_version","alias_value":"1304.5440v3","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.5440","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"pith_short_12","alias_value":"TINBGL4OQ6WO","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TINBGL4OQ6WOVVQC","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TINBGL4O","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:aa4a44ae0e82d4104ccae48e60caa1a99a3a8ae931e84b95f5beb8b269edbf8a","target":"graph","created_at":"2026-05-18T00:47:34Z","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 study cosmological models derived from higher-order Gauss-Bonnet gravity $F(R,G)$ by using the Lagrange multiplier approach without assuming the presence of additional fields with the exception of standard perfect fluid matter. The presence of Lagrange multipliers reduces the number of allowed solutions. We need to introduce compatibility conditions of the FRW equations, which impose strict restrictions on the metric or require the introduction of additional exotic matter. Several classes of $F(R,G)$ models are generated and discussed.","authors_text":"Andrey N. Makarenko, Mauro Francaviglia, Salvatore Capozziello","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-19T15:02:49Z","title":"Higher-Order Gauss-Bonnet Cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5440","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":"sha256:9064d7df61a60a0044050ce06e114121033496114449d730f592e0608e441ae8","target":"record","created_at":"2026-05-18T00:47:34Z","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":"f7e693ea4b60d3139a8d47226cea907664428d3f5dc592fa2867eacfba010f8c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-19T15:02:49Z","title_canon_sha256":"105f7eeae928959b017a15e5448e7ed5a56636c3ed1ed0e5b83b73d7fa0276b8"},"schema_version":"1.0","source":{"id":"1304.5440","kind":"arxiv","version":3}},"canonical_sha256":"9a1a132f8e87acead602202da64c47e707b8bf62bff7eb0741513504f16e1691","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a1a132f8e87acead602202da64c47e707b8bf62bff7eb0741513504f16e1691","first_computed_at":"2026-05-18T00:47:34.120236Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:34.120236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3qJUVu5gt2NUp7FKf0/4bB0EwBBOdYmHOLPihUR0F0CspDhivVW1M6LlkIMLVIWvD5lbv8+JFYERO0b6aopTCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:34.120822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.5440","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9064d7df61a60a0044050ce06e114121033496114449d730f592e0608e441ae8","sha256:aa4a44ae0e82d4104ccae48e60caa1a99a3a8ae931e84b95f5beb8b269edbf8a"],"state_sha256":"5a978a22fe92a755848e2a028199c8f5910abc78c49e15d7ff592a7e1313a9ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"peYawu4PO6CJ780G3lnbWKlWgH86FxzaFXjxwUi/XYsuaZjN6FDMVCGW6JcLXyLmFW/eGt1YX0U1otwsEUzyBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T06:34:07.559834Z","bundle_sha256":"ff44b69b84b692acaab5c05a0f9b63b6fff73a1857b13b46626f9a4ae48cdc40"}}