{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:V6HXDS3VQNAIY6H2RFUU2UW345","short_pith_number":"pith:V6HXDS3V","canonical_record":{"source":{"id":"1403.1421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-03-06T11:49:20Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"afe98bcb8412ef84b5913fb608dcc528d819ec45e6d31b4611ab505a900e2315","abstract_canon_sha256":"c71e2e5e1fcdcd71d8b1046bcff912e3a0c34eab59ec4d246b7c73128e616026"},"schema_version":"1.0"},"canonical_sha256":"af8f71cb7583408c78fa89694d52dbe77ec274a6b018bbc30d8110de21546505","source":{"kind":"arxiv","id":"1403.1421","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1421","created_at":"2026-05-18T01:44:18Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1421v1","created_at":"2026-05-18T01:44:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1421","created_at":"2026-05-18T01:44:18Z"},{"alias_kind":"pith_short_12","alias_value":"V6HXDS3VQNAI","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"V6HXDS3VQNAIY6H2","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"V6HXDS3V","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:V6HXDS3VQNAIY6H2RFUU2UW345","target":"record","payload":{"canonical_record":{"source":{"id":"1403.1421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-03-06T11:49:20Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"afe98bcb8412ef84b5913fb608dcc528d819ec45e6d31b4611ab505a900e2315","abstract_canon_sha256":"c71e2e5e1fcdcd71d8b1046bcff912e3a0c34eab59ec4d246b7c73128e616026"},"schema_version":"1.0"},"canonical_sha256":"af8f71cb7583408c78fa89694d52dbe77ec274a6b018bbc30d8110de21546505","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:18.981759Z","signature_b64":"r68RmL7RNxJiypg4K3kqN+XffvN9zWv65SAFG7aQ1cK/7Wr5GUJJq2DbIPUmcR0Hg/+hVhhbTNSTRQN/s7U6BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af8f71cb7583408c78fa89694d52dbe77ec274a6b018bbc30d8110de21546505","last_reissued_at":"2026-05-18T01:44:18.981056Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:18.981056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.1421","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":"2026-05-18T01:44:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2DYKyIt0kVtIcmTSgO8jZO5kScGPl4uWxT1JLm838kQ/IPbICpSs8RuOTPYXdgm+EEff1KGpgE7Pz6xiGHmoDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T05:38:21.938530Z"},"content_sha256":"800756cebd9798a415a58f8beea253971179d9156eb34d391de934c4378b5ba5","schema_version":"1.0","event_id":"sha256:800756cebd9798a415a58f8beea253971179d9156eb34d391de934c4378b5ba5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:V6HXDS3VQNAIY6H2RFUU2UW345","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\\mathcal{R})$ gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Bharat Ratra, Omer Farooq, Orlando Luongo, Salvatore Capozziello","submitted_at":"2014-03-06T11:49:20Z","abstract_excerpt":"We examine the observational viability of a class of $f(\\mathcal{R})$ gravity cosmological models. Particular attention is devoted to constraints from the recent observational determination of the redshift of the cosmological deceleration-acceleration transition. Making use of the fact that the Ricci scalar is a function of redshift $z$ in these models, $\\mathcal {R=R}(z)$, and so is $f(z)$, we use cosmography to relate a $f(z)$ test function evaluated at higher $z$ to late-time cosmographic bounds. First, we consider a model independent procedure to build up a numerical $f(z)$ by requiring th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1421","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":"2026-05-18T01:44:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hvHRfevGOAvcnd9Mb7qyf5MmPIQaLo+VhXtsT8NTiFWRVCXWkGfbobva6P1jw2UfQrOFZGksOtKU1itwT0ruCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T05:38:21.939194Z"},"content_sha256":"75c5ee60a9b940592783fe7e093d079c7b578feda61296b0b8b527588e31334b","schema_version":"1.0","event_id":"sha256:75c5ee60a9b940592783fe7e093d079c7b578feda61296b0b8b527588e31334b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V6HXDS3VQNAIY6H2RFUU2UW345/bundle.json","state_url":"https://pith.science/pith/V6HXDS3VQNAIY6H2RFUU2UW345/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V6HXDS3VQNAIY6H2RFUU2UW345/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":"2026-05-26T05:38:21Z","links":{"resolver":"https://pith.science/pith/V6HXDS3VQNAIY6H2RFUU2UW345","bundle":"https://pith.science/pith/V6HXDS3VQNAIY6H2RFUU2UW345/bundle.json","state":"https://pith.science/pith/V6HXDS3VQNAIY6H2RFUU2UW345/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V6HXDS3VQNAIY6H2RFUU2UW345/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:V6HXDS3VQNAIY6H2RFUU2UW345","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":"c71e2e5e1fcdcd71d8b1046bcff912e3a0c34eab59ec4d246b7c73128e616026","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-03-06T11:49:20Z","title_canon_sha256":"afe98bcb8412ef84b5913fb608dcc528d819ec45e6d31b4611ab505a900e2315"},"schema_version":"1.0","source":{"id":"1403.1421","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1421","created_at":"2026-05-18T01:44:18Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1421v1","created_at":"2026-05-18T01:44:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1421","created_at":"2026-05-18T01:44:18Z"},{"alias_kind":"pith_short_12","alias_value":"V6HXDS3VQNAI","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"V6HXDS3VQNAIY6H2","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"V6HXDS3V","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:75c5ee60a9b940592783fe7e093d079c7b578feda61296b0b8b527588e31334b","target":"graph","created_at":"2026-05-18T01:44:18Z","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 examine the observational viability of a class of $f(\\mathcal{R})$ gravity cosmological models. Particular attention is devoted to constraints from the recent observational determination of the redshift of the cosmological deceleration-acceleration transition. Making use of the fact that the Ricci scalar is a function of redshift $z$ in these models, $\\mathcal {R=R}(z)$, and so is $f(z)$, we use cosmography to relate a $f(z)$ test function evaluated at higher $z$ to late-time cosmographic bounds. First, we consider a model independent procedure to build up a numerical $f(z)$ by requiring th","authors_text":"Bharat Ratra, Omer Farooq, Orlando Luongo, Salvatore Capozziello","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-03-06T11:49:20Z","title":"Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\\mathcal{R})$ gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1421","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":"sha256:800756cebd9798a415a58f8beea253971179d9156eb34d391de934c4378b5ba5","target":"record","created_at":"2026-05-18T01:44:18Z","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":"c71e2e5e1fcdcd71d8b1046bcff912e3a0c34eab59ec4d246b7c73128e616026","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-03-06T11:49:20Z","title_canon_sha256":"afe98bcb8412ef84b5913fb608dcc528d819ec45e6d31b4611ab505a900e2315"},"schema_version":"1.0","source":{"id":"1403.1421","kind":"arxiv","version":1}},"canonical_sha256":"af8f71cb7583408c78fa89694d52dbe77ec274a6b018bbc30d8110de21546505","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af8f71cb7583408c78fa89694d52dbe77ec274a6b018bbc30d8110de21546505","first_computed_at":"2026-05-18T01:44:18.981056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:18.981056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r68RmL7RNxJiypg4K3kqN+XffvN9zWv65SAFG7aQ1cK/7Wr5GUJJq2DbIPUmcR0Hg/+hVhhbTNSTRQN/s7U6BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:18.981759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.1421","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:800756cebd9798a415a58f8beea253971179d9156eb34d391de934c4378b5ba5","sha256:75c5ee60a9b940592783fe7e093d079c7b578feda61296b0b8b527588e31334b"],"state_sha256":"7ded61420ef817999ddc05586aca36e1f7c9a87bd5c005eba02552a4dd0ac696"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/8kVove9yQleXnxHCeyaBDLzc6NTw3hBuQ6KfD6cTUL19ihzdMM/gbazjVcmpxDS7B+S3idj3dK0lnMKZ16iDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T05:38:21.942764Z","bundle_sha256":"9a281ead92528848a4799bb1ec4b9a6c8a6054817b3e630f1fbffce15a0336cb"}}