{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:SPC2RVN3AAKSRUOVKZRRI7TOCG","short_pith_number":"pith:SPC2RVN3","canonical_record":{"source":{"id":"1111.3878","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-11-15T12:35:02Z","cross_cats_sorted":[],"title_canon_sha256":"9eae548a06da0a34a73db56cf4c3210fa1b8a16648bffb580b7d91cb81469afe","abstract_canon_sha256":"18ed0e1bc56a76154d0c778e80509b397f513e5ef6461cc25990aa0dac09f86d"},"schema_version":"1.0"},"canonical_sha256":"93c5a8d5bb001528d1d55663147e6e119c9f9c5303803d83f2743159ba9192df","source":{"kind":"arxiv","id":"1111.3878","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3878","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3878v1","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3878","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"SPC2RVN3AAKS","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SPC2RVN3AAKSRUOV","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SPC2RVN3","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:SPC2RVN3AAKSRUOVKZRRI7TOCG","target":"record","payload":{"canonical_record":{"source":{"id":"1111.3878","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-11-15T12:35:02Z","cross_cats_sorted":[],"title_canon_sha256":"9eae548a06da0a34a73db56cf4c3210fa1b8a16648bffb580b7d91cb81469afe","abstract_canon_sha256":"18ed0e1bc56a76154d0c778e80509b397f513e5ef6461cc25990aa0dac09f86d"},"schema_version":"1.0"},"canonical_sha256":"93c5a8d5bb001528d1d55663147e6e119c9f9c5303803d83f2743159ba9192df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:32.219989Z","signature_b64":"ycQKvBFbzX0YOy4sZ4/ReRiwuSICcNeZZlK1hANITs/IC1BYSU6gxOW7kikZjzK0PdeHbyqQUivwgfTPx+YOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93c5a8d5bb001528d1d55663147e6e119c9f9c5303803d83f2743159ba9192df","last_reissued_at":"2026-05-18T01:59:32.219398Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:32.219398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.3878","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:59:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0AjzGOdLbPN6ITiOBm9p+gPYR6fCD5hEr4ROvPc4Db5N71x7B7sJbQ+bYpnaxeILdasbsfM72Ru8Y06QmPvOBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:47:53.316880Z"},"content_sha256":"9038824f53d2cdf9735daa977c88002193eca275c478d58001c452f1c9596863","schema_version":"1.0","event_id":"sha256:9038824f53d2cdf9735daa977c88002193eca275c478d58001c452f1c9596863"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:SPC2RVN3AAKSRUOVKZRRI7TOCG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy Conditions in $f(G)$ Modified Gravity with Non-minimal Coupling to Matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"A. Banijamali, B. Fazlpour, M. R. Setare","submitted_at":"2011-11-15T12:35:02Z","abstract_excerpt":"In this paper we study a model of modified gravity with non-minimal coupling between a general function of the Gauss-Bonnet invariant, $f(G)$, and matter Lagrangian from the point of view of the energy conditions. Such model has been introduced in Ref. [21] for description of early inflation and late-time cosmic acceleration. We present the suitable energy conditions for the above mentioned model and then, we use the estimated values of the Hubble, deceleration and jerk parameters to apply the obtained energy conditions to the specific class of modified Gauss-Bonnet models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3878","kind":"arxiv","version":1},"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":"2026-05-18T01:59:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0XPJVl6jIWbqvP+Qgnejs6qy+R04ZkM3GrFo1Vtbbbo7wDtPHWp5XTwxS3XvvpaU5Dc/+02KUgmjGllQneFRAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:47:53.317545Z"},"content_sha256":"2409823a70e20776abd25fb87a6b0b9287d8fc80b1b3e9fbd6ff0a3e61ad7f0b","schema_version":"1.0","event_id":"sha256:2409823a70e20776abd25fb87a6b0b9287d8fc80b1b3e9fbd6ff0a3e61ad7f0b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SPC2RVN3AAKSRUOVKZRRI7TOCG/bundle.json","state_url":"https://pith.science/pith/SPC2RVN3AAKSRUOVKZRRI7TOCG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SPC2RVN3AAKSRUOVKZRRI7TOCG/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":"2026-06-05T20:47:53Z","links":{"resolver":"https://pith.science/pith/SPC2RVN3AAKSRUOVKZRRI7TOCG","bundle":"https://pith.science/pith/SPC2RVN3AAKSRUOVKZRRI7TOCG/bundle.json","state":"https://pith.science/pith/SPC2RVN3AAKSRUOVKZRRI7TOCG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SPC2RVN3AAKSRUOVKZRRI7TOCG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SPC2RVN3AAKSRUOVKZRRI7TOCG","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":"18ed0e1bc56a76154d0c778e80509b397f513e5ef6461cc25990aa0dac09f86d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-11-15T12:35:02Z","title_canon_sha256":"9eae548a06da0a34a73db56cf4c3210fa1b8a16648bffb580b7d91cb81469afe"},"schema_version":"1.0","source":{"id":"1111.3878","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3878","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3878v1","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3878","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"SPC2RVN3AAKS","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SPC2RVN3AAKSRUOV","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SPC2RVN3","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:2409823a70e20776abd25fb87a6b0b9287d8fc80b1b3e9fbd6ff0a3e61ad7f0b","target":"graph","created_at":"2026-05-18T01:59:32Z","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 study a model of modified gravity with non-minimal coupling between a general function of the Gauss-Bonnet invariant, $f(G)$, and matter Lagrangian from the point of view of the energy conditions. Such model has been introduced in Ref. [21] for description of early inflation and late-time cosmic acceleration. We present the suitable energy conditions for the above mentioned model and then, we use the estimated values of the Hubble, deceleration and jerk parameters to apply the obtained energy conditions to the specific class of modified Gauss-Bonnet models.","authors_text":"A. Banijamali, B. Fazlpour, M. R. Setare","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-11-15T12:35:02Z","title":"Energy Conditions in $f(G)$ Modified Gravity with Non-minimal Coupling to Matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3878","kind":"arxiv","version":1},"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":"sha256:9038824f53d2cdf9735daa977c88002193eca275c478d58001c452f1c9596863","target":"record","created_at":"2026-05-18T01:59:32Z","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":"18ed0e1bc56a76154d0c778e80509b397f513e5ef6461cc25990aa0dac09f86d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-11-15T12:35:02Z","title_canon_sha256":"9eae548a06da0a34a73db56cf4c3210fa1b8a16648bffb580b7d91cb81469afe"},"schema_version":"1.0","source":{"id":"1111.3878","kind":"arxiv","version":1}},"canonical_sha256":"93c5a8d5bb001528d1d55663147e6e119c9f9c5303803d83f2743159ba9192df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93c5a8d5bb001528d1d55663147e6e119c9f9c5303803d83f2743159ba9192df","first_computed_at":"2026-05-18T01:59:32.219398Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:32.219398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ycQKvBFbzX0YOy4sZ4/ReRiwuSICcNeZZlK1hANITs/IC1BYSU6gxOW7kikZjzK0PdeHbyqQUivwgfTPx+YOCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:32.219989Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.3878","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9038824f53d2cdf9735daa977c88002193eca275c478d58001c452f1c9596863","sha256:2409823a70e20776abd25fb87a6b0b9287d8fc80b1b3e9fbd6ff0a3e61ad7f0b"],"state_sha256":"66c01c806adec5cf508a24af31cada82e087b0229a952338aa513bdfb6651f82"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n1NbllSKc5tkZQqOXr9tjOpmbjFpieFs4EtCW1y7UYwxov5msxjJ5kAt8vq/kTAgrGBPR9cCx2lCpGMM7wbIBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:47:53.320827Z","bundle_sha256":"9959cfdbc24dec23e9ab87bf463a8b989523362be4aafd0fbf80c55f703a29ce"}}