{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:HYHQ2ZG54KDMPNBUBHKX46TJFQ","short_pith_number":"pith:HYHQ2ZG5","canonical_record":{"source":{"id":"1206.0245","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-06-01T16:50:37Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"798b57503899f0ed344574ec900fbad0a60aa29bec7f8972a06adf6afcaf098c","abstract_canon_sha256":"bcb00f905d350085fa86519be925698cfc9ae4b7c5cef7170a0bfbf5e05326d6"},"schema_version":"1.0"},"canonical_sha256":"3e0f0d64dde286c7b43409d57e7a692c1014678c67c3272bdd74c7886bf8569d","source":{"kind":"arxiv","id":"1206.0245","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0245","created_at":"2026-05-18T03:54:26Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0245v1","created_at":"2026-05-18T03:54:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0245","created_at":"2026-05-18T03:54:26Z"},{"alias_kind":"pith_short_12","alias_value":"HYHQ2ZG54KDM","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HYHQ2ZG54KDMPNBU","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HYHQ2ZG5","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:HYHQ2ZG54KDMPNBUBHKX46TJFQ","target":"record","payload":{"canonical_record":{"source":{"id":"1206.0245","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-06-01T16:50:37Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"798b57503899f0ed344574ec900fbad0a60aa29bec7f8972a06adf6afcaf098c","abstract_canon_sha256":"bcb00f905d350085fa86519be925698cfc9ae4b7c5cef7170a0bfbf5e05326d6"},"schema_version":"1.0"},"canonical_sha256":"3e0f0d64dde286c7b43409d57e7a692c1014678c67c3272bdd74c7886bf8569d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:26.696941Z","signature_b64":"Q1XoFWiVig/2skpgIsHnJoAALo0U2RnlMek1x1ENlycpK36aHbOFFHuJVaMjqJSYOINvgCrwkIlse5oMzys9CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e0f0d64dde286c7b43409d57e7a692c1014678c67c3272bdd74c7886bf8569d","last_reissued_at":"2026-05-18T03:54:26.696230Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:26.696230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.0245","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":"2026-05-18T03:54:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1sYqTdEj9dfO6KbtB/PTZS/fn5+QEhF0p7N+HcFQhk4UYQrvRmQapa28qLfkB34QNQVugNgKTnLjUrLxTcr+CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:05:15.531517Z"},"content_sha256":"86726a0138840867cf77612e83f64553311005e1f2a3c198355fb2c8c9764a9d","schema_version":"1.0","event_id":"sha256:86726a0138840867cf77612e83f64553311005e1f2a3c198355fb2c8c9764a9d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:HYHQ2ZG54KDMPNBUBHKX46TJFQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmography in F(G) modified gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"physics.gen-ph","authors_text":"M. R. Setare, N. Mohammadipour","submitted_at":"2012-06-01T16:50:37Z","abstract_excerpt":"Investigating the accelerated expansion of the universe with cosmography is a best method to constraint cosmological models. In this work, in the $F(G)$ modified gravity framework, we obtain equations of motion in a flat FRW metric. Then we reconstruct the present day values of $F(G)$ and its derivatives with the cosmographic parameters on the only assumption that the universe is homogenous and isotropic on large scale. Also we investigate the conditions of cosmologically viable $F(G)$ gravity models with the fiducial data set values."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0245","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":"2026-05-18T03:54:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gcM47APJIuAqI3sS8HZvgIWKx0u+IPDlojYCJpIRKU8AtmhiFsdXYyH1bY5fuHe8RMOOq9BKxPoOoLkCA+KKCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:05:15.531871Z"},"content_sha256":"fa8f77ae6e6573135c62ed720dc44b7a71b0ed91ab26a141d08edfde8338b6b8","schema_version":"1.0","event_id":"sha256:fa8f77ae6e6573135c62ed720dc44b7a71b0ed91ab26a141d08edfde8338b6b8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HYHQ2ZG54KDMPNBUBHKX46TJFQ/bundle.json","state_url":"https://pith.science/pith/HYHQ2ZG54KDMPNBUBHKX46TJFQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HYHQ2ZG54KDMPNBUBHKX46TJFQ/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":"2026-06-05T16:05:15Z","links":{"resolver":"https://pith.science/pith/HYHQ2ZG54KDMPNBUBHKX46TJFQ","bundle":"https://pith.science/pith/HYHQ2ZG54KDMPNBUBHKX46TJFQ/bundle.json","state":"https://pith.science/pith/HYHQ2ZG54KDMPNBUBHKX46TJFQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HYHQ2ZG54KDMPNBUBHKX46TJFQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HYHQ2ZG54KDMPNBUBHKX46TJFQ","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":"bcb00f905d350085fa86519be925698cfc9ae4b7c5cef7170a0bfbf5e05326d6","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-06-01T16:50:37Z","title_canon_sha256":"798b57503899f0ed344574ec900fbad0a60aa29bec7f8972a06adf6afcaf098c"},"schema_version":"1.0","source":{"id":"1206.0245","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0245","created_at":"2026-05-18T03:54:26Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0245v1","created_at":"2026-05-18T03:54:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0245","created_at":"2026-05-18T03:54:26Z"},{"alias_kind":"pith_short_12","alias_value":"HYHQ2ZG54KDM","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HYHQ2ZG54KDMPNBU","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HYHQ2ZG5","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:fa8f77ae6e6573135c62ed720dc44b7a71b0ed91ab26a141d08edfde8338b6b8","target":"graph","created_at":"2026-05-18T03:54:26Z","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":"Investigating the accelerated expansion of the universe with cosmography is a best method to constraint cosmological models. In this work, in the $F(G)$ modified gravity framework, we obtain equations of motion in a flat FRW metric. Then we reconstruct the present day values of $F(G)$ and its derivatives with the cosmographic parameters on the only assumption that the universe is homogenous and isotropic on large scale. Also we investigate the conditions of cosmologically viable $F(G)$ gravity models with the fiducial data set values.","authors_text":"M. R. Setare, N. Mohammadipour","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-06-01T16:50:37Z","title":"Cosmography in F(G) modified gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0245","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":"sha256:86726a0138840867cf77612e83f64553311005e1f2a3c198355fb2c8c9764a9d","target":"record","created_at":"2026-05-18T03:54:26Z","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":"bcb00f905d350085fa86519be925698cfc9ae4b7c5cef7170a0bfbf5e05326d6","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-06-01T16:50:37Z","title_canon_sha256":"798b57503899f0ed344574ec900fbad0a60aa29bec7f8972a06adf6afcaf098c"},"schema_version":"1.0","source":{"id":"1206.0245","kind":"arxiv","version":1}},"canonical_sha256":"3e0f0d64dde286c7b43409d57e7a692c1014678c67c3272bdd74c7886bf8569d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e0f0d64dde286c7b43409d57e7a692c1014678c67c3272bdd74c7886bf8569d","first_computed_at":"2026-05-18T03:54:26.696230Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:26.696230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q1XoFWiVig/2skpgIsHnJoAALo0U2RnlMek1x1ENlycpK36aHbOFFHuJVaMjqJSYOINvgCrwkIlse5oMzys9CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:26.696941Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.0245","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86726a0138840867cf77612e83f64553311005e1f2a3c198355fb2c8c9764a9d","sha256:fa8f77ae6e6573135c62ed720dc44b7a71b0ed91ab26a141d08edfde8338b6b8"],"state_sha256":"742b49b982a7aba17216820617e7c8e26b2d4eda6ce2d0f13ccbd4c6d706766f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fX82njJxEeZX9BqjsYXzz0X0KXtJ77MQCz50sBEcwCGRw5JbU+o/cTvPfJBiCHWJXd2PVph61rZh1ZUChWA+BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T16:05:15.533851Z","bundle_sha256":"81e27ef123e643eb3931a737268f4fffb30aacb32c625749a80402041af9a03f"}}