{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:V2HZZYE6WZB3KD6M6X7DOL35RY","short_pith_number":"pith:V2HZZYE6","canonical_record":{"source":{"id":"0911.2841","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-11-15T08:59:18Z","cross_cats_sorted":[],"title_canon_sha256":"97b28aa9242fd1cfe882553240be4d9a043efcc217120a6485b775727320fa8b","abstract_canon_sha256":"04491a528b234f46841bca571243a8a73cc89df1f354c24c66117af962447086"},"schema_version":"1.0"},"canonical_sha256":"ae8f9ce09eb643b50fccf5fe372f7d8e30a2a1bd7ec394b8f179b0fdd3c6e387","source":{"kind":"arxiv","id":"0911.2841","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.2841","created_at":"2026-05-18T04:32:09Z"},{"alias_kind":"arxiv_version","alias_value":"0911.2841v2","created_at":"2026-05-18T04:32:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.2841","created_at":"2026-05-18T04:32:09Z"},{"alias_kind":"pith_short_12","alias_value":"V2HZZYE6WZB3","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"V2HZZYE6WZB3KD6M","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"V2HZZYE6","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:V2HZZYE6WZB3KD6M6X7DOL35RY","target":"record","payload":{"canonical_record":{"source":{"id":"0911.2841","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-11-15T08:59:18Z","cross_cats_sorted":[],"title_canon_sha256":"97b28aa9242fd1cfe882553240be4d9a043efcc217120a6485b775727320fa8b","abstract_canon_sha256":"04491a528b234f46841bca571243a8a73cc89df1f354c24c66117af962447086"},"schema_version":"1.0"},"canonical_sha256":"ae8f9ce09eb643b50fccf5fe372f7d8e30a2a1bd7ec394b8f179b0fdd3c6e387","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:09.651139Z","signature_b64":"xU/526N9f6IMK/nRxWqaphSwdN2XCZnh6WG4gW8Rvks7rdyhGF3pBWMrLgn+DE3YFJCsQ0321tyZ2cGFV477CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae8f9ce09eb643b50fccf5fe372f7d8e30a2a1bd7ec394b8f179b0fdd3c6e387","last_reissued_at":"2026-05-18T04:32:09.650619Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:09.650619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.2841","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":"2026-05-18T04:32:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yCnuLCLYbJQpEfAfiJETvsyofyatrrccI+YFSl1k1lXT9fTnPcQxgWmS39Ns5tIrjslWRSrhoc6RxBhTq/uYCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:05:44.539697Z"},"content_sha256":"ea099af5f721fbba3fb9f3b00bdda3cf29c116d908c64a795ab9ee300230bc5b","schema_version":"1.0","event_id":"sha256:ea099af5f721fbba3fb9f3b00bdda3cf29c116d908c64a795ab9ee300230bc5b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:V2HZZYE6WZB3KD6M6X7DOL35RY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Further Extended Theories of Gravitation: Part I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"L. Fatibene, M. Di Mauro, M. Ferraris, M. Francaviglia","submitted_at":"2009-11-15T08:59:18Z","abstract_excerpt":"We shall here propose a class of relativistic theories of gravitation, based on a foundational paper of Ehlers Pirani and Schild (EPS).All \"extended theories of gravitation\" (also known as f(R) theories) in Palatini formalism are shown to belong to this class. In a forthcoming paper we shall show that this class of theories contains other more general examples. EPS framework helps in the interpretation and solution of these models that however have exotic behaviours even compared to f(R) theories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.2841","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":"2026-05-18T04:32:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"30AS0oWjw8wMXF5BCj5LHDk6aXwRoQfNaBUyCVYs16wRXfOXA9e0+uM7wRJeqkqLvcDywcFVz8AZi8zwjye9Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:05:44.540024Z"},"content_sha256":"1060bd466bd5ff2ed0dd43e18b8031b98fe4708440926602906fd3ce312467d1","schema_version":"1.0","event_id":"sha256:1060bd466bd5ff2ed0dd43e18b8031b98fe4708440926602906fd3ce312467d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V2HZZYE6WZB3KD6M6X7DOL35RY/bundle.json","state_url":"https://pith.science/pith/V2HZZYE6WZB3KD6M6X7DOL35RY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V2HZZYE6WZB3KD6M6X7DOL35RY/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":"2026-06-01T19:05:44Z","links":{"resolver":"https://pith.science/pith/V2HZZYE6WZB3KD6M6X7DOL35RY","bundle":"https://pith.science/pith/V2HZZYE6WZB3KD6M6X7DOL35RY/bundle.json","state":"https://pith.science/pith/V2HZZYE6WZB3KD6M6X7DOL35RY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V2HZZYE6WZB3KD6M6X7DOL35RY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:V2HZZYE6WZB3KD6M6X7DOL35RY","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":"04491a528b234f46841bca571243a8a73cc89df1f354c24c66117af962447086","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-11-15T08:59:18Z","title_canon_sha256":"97b28aa9242fd1cfe882553240be4d9a043efcc217120a6485b775727320fa8b"},"schema_version":"1.0","source":{"id":"0911.2841","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.2841","created_at":"2026-05-18T04:32:09Z"},{"alias_kind":"arxiv_version","alias_value":"0911.2841v2","created_at":"2026-05-18T04:32:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.2841","created_at":"2026-05-18T04:32:09Z"},{"alias_kind":"pith_short_12","alias_value":"V2HZZYE6WZB3","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"V2HZZYE6WZB3KD6M","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"V2HZZYE6","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:1060bd466bd5ff2ed0dd43e18b8031b98fe4708440926602906fd3ce312467d1","target":"graph","created_at":"2026-05-18T04:32:09Z","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 shall here propose a class of relativistic theories of gravitation, based on a foundational paper of Ehlers Pirani and Schild (EPS).All \"extended theories of gravitation\" (also known as f(R) theories) in Palatini formalism are shown to belong to this class. In a forthcoming paper we shall show that this class of theories contains other more general examples. EPS framework helps in the interpretation and solution of these models that however have exotic behaviours even compared to f(R) theories.","authors_text":"L. Fatibene, M. Di Mauro, M. Ferraris, M. Francaviglia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-11-15T08:59:18Z","title":"Further Extended Theories of Gravitation: Part I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.2841","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:ea099af5f721fbba3fb9f3b00bdda3cf29c116d908c64a795ab9ee300230bc5b","target":"record","created_at":"2026-05-18T04:32:09Z","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":"04491a528b234f46841bca571243a8a73cc89df1f354c24c66117af962447086","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-11-15T08:59:18Z","title_canon_sha256":"97b28aa9242fd1cfe882553240be4d9a043efcc217120a6485b775727320fa8b"},"schema_version":"1.0","source":{"id":"0911.2841","kind":"arxiv","version":2}},"canonical_sha256":"ae8f9ce09eb643b50fccf5fe372f7d8e30a2a1bd7ec394b8f179b0fdd3c6e387","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae8f9ce09eb643b50fccf5fe372f7d8e30a2a1bd7ec394b8f179b0fdd3c6e387","first_computed_at":"2026-05-18T04:32:09.650619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:09.650619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xU/526N9f6IMK/nRxWqaphSwdN2XCZnh6WG4gW8Rvks7rdyhGF3pBWMrLgn+DE3YFJCsQ0321tyZ2cGFV477CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:09.651139Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.2841","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea099af5f721fbba3fb9f3b00bdda3cf29c116d908c64a795ab9ee300230bc5b","sha256:1060bd466bd5ff2ed0dd43e18b8031b98fe4708440926602906fd3ce312467d1"],"state_sha256":"e161f2cbb411a7ea34aa6a540eb7efd5902ffee7b943819995bb4454ae1ab7d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oTKhK0p3rWn76ayboyvCFhLfDqABye2DhALnrR8hZ7OLUBP/E7rCtxEKSyfl1b5df+RycKZrEIFXdg+WtJTFAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T19:05:44.541975Z","bundle_sha256":"7483d42037fd818e555df391e0618ade9304b3d80115c637800988e207351f86"}}