{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:HNXX6PYVJ4SHD434YXCWWVPUG4","short_pith_number":"pith:HNXX6PYV","canonical_record":{"source":{"id":"1207.0212","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-01T14:11:32Z","cross_cats_sorted":[],"title_canon_sha256":"f2519579330f7929f4a5ccb3d7c7f02f2a7e4d9dfed5528f843d3305aaccfcda","abstract_canon_sha256":"6d9050335aa3eda4c32290c61982e7ec22ee4b92977ad524dfc7cc48cfba1628"},"schema_version":"1.0"},"canonical_sha256":"3b6f7f3f154f2471f37cc5c56b55f43722f1d1342f625129154e1cdd81408bef","source":{"kind":"arxiv","id":"1207.0212","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0212","created_at":"2026-05-18T03:28:30Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0212v3","created_at":"2026-05-18T03:28:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0212","created_at":"2026-05-18T03:28:30Z"},{"alias_kind":"pith_short_12","alias_value":"HNXX6PYVJ4SH","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HNXX6PYVJ4SHD434","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HNXX6PYV","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:HNXX6PYVJ4SHD434YXCWWVPUG4","target":"record","payload":{"canonical_record":{"source":{"id":"1207.0212","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-01T14:11:32Z","cross_cats_sorted":[],"title_canon_sha256":"f2519579330f7929f4a5ccb3d7c7f02f2a7e4d9dfed5528f843d3305aaccfcda","abstract_canon_sha256":"6d9050335aa3eda4c32290c61982e7ec22ee4b92977ad524dfc7cc48cfba1628"},"schema_version":"1.0"},"canonical_sha256":"3b6f7f3f154f2471f37cc5c56b55f43722f1d1342f625129154e1cdd81408bef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:30.570408Z","signature_b64":"QhFpEgt2CibN+G7OiDCKwGBn0IFhfNiTUaar/XG4Ozj9QwTKNXs+CSIWXEquRkmFbw1xUWonKZPuT215zrAbAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b6f7f3f154f2471f37cc5c56b55f43722f1d1342f625129154e1cdd81408bef","last_reissued_at":"2026-05-18T03:28:30.569599Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:30.569599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.0212","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":"2026-05-18T03:28:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vf3CTDlFna2yXuTSn4Vh6Ot7HRUaAyuZh1tiswEcXOtPn8czK8TG3YOH47HFr3jR8T2C02vDTCKcfedzwofSBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:26:18.764875Z"},"content_sha256":"94f8431fd219b90c0706482ea745459c95dc75e5825f589f51610eb80e98fe59","schema_version":"1.0","event_id":"sha256:94f8431fd219b90c0706482ea745459c95dc75e5825f589f51610eb80e98fe59"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:HNXX6PYVJ4SHD434YXCWWVPUG4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reconstruction of $f(R)$, $f(T)$ and $f(\\mathcal{G})$ models inspired by variable deceleration parameter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"F. Darabi","submitted_at":"2012-07-01T14:11:32Z","abstract_excerpt":"We study an special law for the deceleration parameter, recently proposed by Akarsu and Dereli, in the context of $f(R)$, $f(T)$ and $f(\\mathcal{G})$ theories of modified gravity. This law covers the law of Berman for obtaining exact cosmological models to account for the current acceleration of the universe, and also gives the opportunity to generalize many of the dark energy models having better consistency with the cosmological observations. Our aim is to reconstruct the $f(R)$, $f(T)$ and $f(\\mathcal{G})$ models inspired by this law of variable deceleration parameter. Such models may then "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0212","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":"2026-05-18T03:28:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5h6tqxrGDwnwEg+rmnOh1rlcOSx7WeobI9TL23jJe1ewN0Ui8FBtJrEmSD4TCIG4P6WTj1hX1ejawbHLqa8nDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:26:18.765237Z"},"content_sha256":"cd3cda6a0190faee4ef1f22bc6a433f1c31dcc5d64cc38908c5a367181bed9da","schema_version":"1.0","event_id":"sha256:cd3cda6a0190faee4ef1f22bc6a433f1c31dcc5d64cc38908c5a367181bed9da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HNXX6PYVJ4SHD434YXCWWVPUG4/bundle.json","state_url":"https://pith.science/pith/HNXX6PYVJ4SHD434YXCWWVPUG4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HNXX6PYVJ4SHD434YXCWWVPUG4/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":"2026-05-31T18:26:18Z","links":{"resolver":"https://pith.science/pith/HNXX6PYVJ4SHD434YXCWWVPUG4","bundle":"https://pith.science/pith/HNXX6PYVJ4SHD434YXCWWVPUG4/bundle.json","state":"https://pith.science/pith/HNXX6PYVJ4SHD434YXCWWVPUG4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HNXX6PYVJ4SHD434YXCWWVPUG4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HNXX6PYVJ4SHD434YXCWWVPUG4","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":"6d9050335aa3eda4c32290c61982e7ec22ee4b92977ad524dfc7cc48cfba1628","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-01T14:11:32Z","title_canon_sha256":"f2519579330f7929f4a5ccb3d7c7f02f2a7e4d9dfed5528f843d3305aaccfcda"},"schema_version":"1.0","source":{"id":"1207.0212","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0212","created_at":"2026-05-18T03:28:30Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0212v3","created_at":"2026-05-18T03:28:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0212","created_at":"2026-05-18T03:28:30Z"},{"alias_kind":"pith_short_12","alias_value":"HNXX6PYVJ4SH","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HNXX6PYVJ4SHD434","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HNXX6PYV","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:cd3cda6a0190faee4ef1f22bc6a433f1c31dcc5d64cc38908c5a367181bed9da","target":"graph","created_at":"2026-05-18T03:28:30Z","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 an special law for the deceleration parameter, recently proposed by Akarsu and Dereli, in the context of $f(R)$, $f(T)$ and $f(\\mathcal{G})$ theories of modified gravity. This law covers the law of Berman for obtaining exact cosmological models to account for the current acceleration of the universe, and also gives the opportunity to generalize many of the dark energy models having better consistency with the cosmological observations. Our aim is to reconstruct the $f(R)$, $f(T)$ and $f(\\mathcal{G})$ models inspired by this law of variable deceleration parameter. Such models may then ","authors_text":"F. Darabi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-01T14:11:32Z","title":"Reconstruction of $f(R)$, $f(T)$ and $f(\\mathcal{G})$ models inspired by variable deceleration parameter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0212","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":"sha256:94f8431fd219b90c0706482ea745459c95dc75e5825f589f51610eb80e98fe59","target":"record","created_at":"2026-05-18T03:28:30Z","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":"6d9050335aa3eda4c32290c61982e7ec22ee4b92977ad524dfc7cc48cfba1628","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-01T14:11:32Z","title_canon_sha256":"f2519579330f7929f4a5ccb3d7c7f02f2a7e4d9dfed5528f843d3305aaccfcda"},"schema_version":"1.0","source":{"id":"1207.0212","kind":"arxiv","version":3}},"canonical_sha256":"3b6f7f3f154f2471f37cc5c56b55f43722f1d1342f625129154e1cdd81408bef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b6f7f3f154f2471f37cc5c56b55f43722f1d1342f625129154e1cdd81408bef","first_computed_at":"2026-05-18T03:28:30.569599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:30.569599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QhFpEgt2CibN+G7OiDCKwGBn0IFhfNiTUaar/XG4Ozj9QwTKNXs+CSIWXEquRkmFbw1xUWonKZPuT215zrAbAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:30.570408Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.0212","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94f8431fd219b90c0706482ea745459c95dc75e5825f589f51610eb80e98fe59","sha256:cd3cda6a0190faee4ef1f22bc6a433f1c31dcc5d64cc38908c5a367181bed9da"],"state_sha256":"acac9c8da4ca3103895ee66dc5e548db416c50eb7086948878bbdce395c5a5f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QoFf1jaC2OkB3s6o4sGV2zlKWZJ3avsaOGyHzQ+OoOHB6L0X1yGGuS8auRFJJ1MlQjbi1Ai/d2pemqcKO5BEDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T18:26:18.767502Z","bundle_sha256":"98900722f17e5da61bcd7a7567e522136e7785d78e7d221916903aa0fffa072a"}}