{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KHLTX5MQR6LT45U3FUJOWNA5RY","short_pith_number":"pith:KHLTX5MQ","canonical_record":{"source":{"id":"1412.6670","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-20T17:07:44Z","cross_cats_sorted":[],"title_canon_sha256":"58de09105ff8073f38c5fd3ffeba149e3cf6acd9e344f201a6cba44477ed5dcc","abstract_canon_sha256":"4e76a8be1afa15b515054cf2dd27874eb6876d69fd5235c0f0717f9d48852321"},"schema_version":"1.0"},"canonical_sha256":"51d73bf5908f973e769b2d12eb341d8e1432c888096db8b35749acb1660789c5","source":{"kind":"arxiv","id":"1412.6670","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6670","created_at":"2026-05-18T02:17:11Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6670v1","created_at":"2026-05-18T02:17:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6670","created_at":"2026-05-18T02:17:11Z"},{"alias_kind":"pith_short_12","alias_value":"KHLTX5MQR6LT","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KHLTX5MQR6LT45U3","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KHLTX5MQ","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KHLTX5MQR6LT45U3FUJOWNA5RY","target":"record","payload":{"canonical_record":{"source":{"id":"1412.6670","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-20T17:07:44Z","cross_cats_sorted":[],"title_canon_sha256":"58de09105ff8073f38c5fd3ffeba149e3cf6acd9e344f201a6cba44477ed5dcc","abstract_canon_sha256":"4e76a8be1afa15b515054cf2dd27874eb6876d69fd5235c0f0717f9d48852321"},"schema_version":"1.0"},"canonical_sha256":"51d73bf5908f973e769b2d12eb341d8e1432c888096db8b35749acb1660789c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:11.468158Z","signature_b64":"Pcx09LfN6Z/Pqf7RLBGqVpw8uidRbUDPmbRwJw2nGfq9Q7xmRP4ih1z5kOiJolGEHgLxEC2yrPuzrKJqliq8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51d73bf5908f973e769b2d12eb341d8e1432c888096db8b35749acb1660789c5","last_reissued_at":"2026-05-18T02:17:11.467512Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:11.467512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.6670","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":"2026-05-18T02:17:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KzxB1lLfJG8bXRkZplbcJeFHdlqi3JYH8Ug6VfAcppixLw/K8jGhAkSBUE4HpfmUtHzQa77erv760uZVdSIeAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T02:14:38.433694Z"},"content_sha256":"e468d4a1087377a644e298db2c5c6bbc0e60e496384a90890904266e0cd6df50","schema_version":"1.0","event_id":"sha256:e468d4a1087377a644e298db2c5c6bbc0e60e496384a90890904266e0cd6df50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KHLTX5MQR6LT45U3FUJOWNA5RY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extended Theories of Gravity with Generalized Energy Conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Francisco S. N. Lobo, Jos\\'e P. Mimoso, Salvatore Capozziello","submitted_at":"2014-12-20T17:07:44Z","abstract_excerpt":"We address the problem of the energy conditions in modified gravity taking into account the additional degrees of freedom related to scalar fields and curvature invariants. The latter are usually interpreted as generalized {\\it geometrical fluids} that differ in meaning with respect to the matter fluids generally considered as sources of the field equations. In extended gravity theories the curvature terms are encapsulated in a tensor $H^{ab}$ and a coupling $g(\\Psi^i)$ that can be recast as effective Einstein field equations, with corrections to the energy-momentum tensor of matter. The forma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6670","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":"2026-05-18T02:17:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cs+C2zxal7lyhk0ThOHbglfpJDw65kP6aGscxoUaG4Tp82uW/mahe1iud+w82ChgQTXJiSp1ZdLBnayB1jYxAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T02:14:38.434089Z"},"content_sha256":"88d25e65ebc1f4bf4afdb86d1c2d69055e1622a7521ae1da5d4966229672b976","schema_version":"1.0","event_id":"sha256:88d25e65ebc1f4bf4afdb86d1c2d69055e1622a7521ae1da5d4966229672b976"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KHLTX5MQR6LT45U3FUJOWNA5RY/bundle.json","state_url":"https://pith.science/pith/KHLTX5MQR6LT45U3FUJOWNA5RY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KHLTX5MQR6LT45U3FUJOWNA5RY/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":"2026-05-23T02:14:38Z","links":{"resolver":"https://pith.science/pith/KHLTX5MQR6LT45U3FUJOWNA5RY","bundle":"https://pith.science/pith/KHLTX5MQR6LT45U3FUJOWNA5RY/bundle.json","state":"https://pith.science/pith/KHLTX5MQR6LT45U3FUJOWNA5RY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KHLTX5MQR6LT45U3FUJOWNA5RY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KHLTX5MQR6LT45U3FUJOWNA5RY","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":"4e76a8be1afa15b515054cf2dd27874eb6876d69fd5235c0f0717f9d48852321","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-20T17:07:44Z","title_canon_sha256":"58de09105ff8073f38c5fd3ffeba149e3cf6acd9e344f201a6cba44477ed5dcc"},"schema_version":"1.0","source":{"id":"1412.6670","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6670","created_at":"2026-05-18T02:17:11Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6670v1","created_at":"2026-05-18T02:17:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6670","created_at":"2026-05-18T02:17:11Z"},{"alias_kind":"pith_short_12","alias_value":"KHLTX5MQR6LT","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KHLTX5MQR6LT45U3","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KHLTX5MQ","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:88d25e65ebc1f4bf4afdb86d1c2d69055e1622a7521ae1da5d4966229672b976","target":"graph","created_at":"2026-05-18T02:17:11Z","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 address the problem of the energy conditions in modified gravity taking into account the additional degrees of freedom related to scalar fields and curvature invariants. The latter are usually interpreted as generalized {\\it geometrical fluids} that differ in meaning with respect to the matter fluids generally considered as sources of the field equations. In extended gravity theories the curvature terms are encapsulated in a tensor $H^{ab}$ and a coupling $g(\\Psi^i)$ that can be recast as effective Einstein field equations, with corrections to the energy-momentum tensor of matter. The forma","authors_text":"Francisco S. N. Lobo, Jos\\'e P. Mimoso, Salvatore Capozziello","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-20T17:07:44Z","title":"Extended Theories of Gravity with Generalized Energy Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6670","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:e468d4a1087377a644e298db2c5c6bbc0e60e496384a90890904266e0cd6df50","target":"record","created_at":"2026-05-18T02:17:11Z","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":"4e76a8be1afa15b515054cf2dd27874eb6876d69fd5235c0f0717f9d48852321","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-20T17:07:44Z","title_canon_sha256":"58de09105ff8073f38c5fd3ffeba149e3cf6acd9e344f201a6cba44477ed5dcc"},"schema_version":"1.0","source":{"id":"1412.6670","kind":"arxiv","version":1}},"canonical_sha256":"51d73bf5908f973e769b2d12eb341d8e1432c888096db8b35749acb1660789c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51d73bf5908f973e769b2d12eb341d8e1432c888096db8b35749acb1660789c5","first_computed_at":"2026-05-18T02:17:11.467512Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:11.467512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pcx09LfN6Z/Pqf7RLBGqVpw8uidRbUDPmbRwJw2nGfq9Q7xmRP4ih1z5kOiJolGEHgLxEC2yrPuzrKJqliq8Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:11.468158Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.6670","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e468d4a1087377a644e298db2c5c6bbc0e60e496384a90890904266e0cd6df50","sha256:88d25e65ebc1f4bf4afdb86d1c2d69055e1622a7521ae1da5d4966229672b976"],"state_sha256":"a1f0276c17afc74cea073635f10c0fb744e8baa2e949d8a26ccfa1135b9c72a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e2NtagVRginS8YH5zJz+MlCMdfQv+OQjuW03nnRHMVoUokMwJYtbd738RAxtGvwqAHXFOxWP9bevxb4yMCCSAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T02:14:38.436243Z","bundle_sha256":"50521fe74eba8cbcd064d8cd6861e7d1b123946c728043c85b4f26a835915803"}}