{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:3IQB53D4BAZVBA5OP4MOMJH6T5","short_pith_number":"pith:3IQB53D4","canonical_record":{"source":{"id":"2306.12585","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-06-21T21:58:28Z","cross_cats_sorted":[],"title_canon_sha256":"e1720848bd75613a6428f16922a29e369e8ca1a933934f9336ca5eeb0dd6ebe1","abstract_canon_sha256":"a1ea686b10761214de2182dd548d3d5b5ff3945ea64e8c86bf01f584155fb87a"},"schema_version":"1.0"},"canonical_sha256":"da201eec7c08335083ae7f18e624fe9f5999fdac65669f6f34ce8847ac996d1d","source":{"kind":"arxiv","id":"2306.12585","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.12585","created_at":"2026-07-05T07:23:58Z"},{"alias_kind":"arxiv_version","alias_value":"2306.12585v1","created_at":"2026-07-05T07:23:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.12585","created_at":"2026-07-05T07:23:58Z"},{"alias_kind":"pith_short_12","alias_value":"3IQB53D4BAZV","created_at":"2026-07-05T07:23:58Z"},{"alias_kind":"pith_short_16","alias_value":"3IQB53D4BAZVBA5O","created_at":"2026-07-05T07:23:58Z"},{"alias_kind":"pith_short_8","alias_value":"3IQB53D4","created_at":"2026-07-05T07:23:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:3IQB53D4BAZVBA5OP4MOMJH6T5","target":"record","payload":{"canonical_record":{"source":{"id":"2306.12585","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-06-21T21:58:28Z","cross_cats_sorted":[],"title_canon_sha256":"e1720848bd75613a6428f16922a29e369e8ca1a933934f9336ca5eeb0dd6ebe1","abstract_canon_sha256":"a1ea686b10761214de2182dd548d3d5b5ff3945ea64e8c86bf01f584155fb87a"},"schema_version":"1.0"},"canonical_sha256":"da201eec7c08335083ae7f18e624fe9f5999fdac65669f6f34ce8847ac996d1d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:23:58.426559Z","signature_b64":"lFPqCfCN4Tc+Jv7M68J57Y3s5p3wDoAR/kaHxOOX+0QpDAe8KDPk6B82/WS9hj0ImV1JHIZIHc5A6cpQ999jAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da201eec7c08335083ae7f18e624fe9f5999fdac65669f6f34ce8847ac996d1d","last_reissued_at":"2026-07-05T07:23:58.426129Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:23:58.426129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.12585","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":"2026-07-05T07:23:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AynkGLCra9hE1smF0ygtYN3Ekda12UGzMr2tBziDLOafeA22sctkfeA5VYXtH+ktAw11cqclXRTVwDw2bG+fAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T03:32:32.022166Z"},"content_sha256":"de839c17105a6afad7cdf2d1e2657f7b209e6427bae39f372ab1bed9c23b6695","schema_version":"1.0","event_id":"sha256:de839c17105a6afad7cdf2d1e2657f7b209e6427bae39f372ab1bed9c23b6695"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:3IQB53D4BAZVBA5OP4MOMJH6T5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Investigating the accelerated expansion of the Universe through updated constraints on viable $f(R)$ models within the metric formalism","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Abhijit Bandyopadhyay, Anirban Chatterjee, Biswajit Jana, Kumar Ravi","submitted_at":"2023-06-21T21:58:28Z","abstract_excerpt":"Modified theories of gravity encompass a class of $f(R)$-models that seek to elucidate the observed late time accelerated expansion of the universe. In this study, we examine a set of viable $f(R)$ models (Hu-Sawicki: two cases, Satrobinsky, Tsujikawa, exponential and arcTanh models) in metric formalism, using recent cosmological data sets: type Ia supernovae data, cosmic chronometer observations, baryonic acoustic oscillations data, data from H\\textsc{ii} starburst galaxies, and local measurements of the Hubble parameter $H_0$. The model parameters are constrained using a Bayesian analysis wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.12585","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2306.12585/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:23:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SptDjyAdflmaqSLAh9JrDCpDZr9jjl/9NuK2VZIc7W2dTsZEkShDuMPotgMSItOD6h5nREgIIJT+o8DAeGdfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T03:32:32.022664Z"},"content_sha256":"84e1ecf330140f95603facb24ca865cee01fdba0327820cc04980eacdab7bb2a","schema_version":"1.0","event_id":"sha256:84e1ecf330140f95603facb24ca865cee01fdba0327820cc04980eacdab7bb2a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3IQB53D4BAZVBA5OP4MOMJH6T5/bundle.json","state_url":"https://pith.science/pith/3IQB53D4BAZVBA5OP4MOMJH6T5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3IQB53D4BAZVBA5OP4MOMJH6T5/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":"2026-08-12T03:32:32Z","links":{"resolver":"https://pith.science/pith/3IQB53D4BAZVBA5OP4MOMJH6T5","bundle":"https://pith.science/pith/3IQB53D4BAZVBA5OP4MOMJH6T5/bundle.json","state":"https://pith.science/pith/3IQB53D4BAZVBA5OP4MOMJH6T5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3IQB53D4BAZVBA5OP4MOMJH6T5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:3IQB53D4BAZVBA5OP4MOMJH6T5","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":"a1ea686b10761214de2182dd548d3d5b5ff3945ea64e8c86bf01f584155fb87a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-06-21T21:58:28Z","title_canon_sha256":"e1720848bd75613a6428f16922a29e369e8ca1a933934f9336ca5eeb0dd6ebe1"},"schema_version":"1.0","source":{"id":"2306.12585","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.12585","created_at":"2026-07-05T07:23:58Z"},{"alias_kind":"arxiv_version","alias_value":"2306.12585v1","created_at":"2026-07-05T07:23:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.12585","created_at":"2026-07-05T07:23:58Z"},{"alias_kind":"pith_short_12","alias_value":"3IQB53D4BAZV","created_at":"2026-07-05T07:23:58Z"},{"alias_kind":"pith_short_16","alias_value":"3IQB53D4BAZVBA5O","created_at":"2026-07-05T07:23:58Z"},{"alias_kind":"pith_short_8","alias_value":"3IQB53D4","created_at":"2026-07-05T07:23:58Z"}],"graph_snapshots":[{"event_id":"sha256:84e1ecf330140f95603facb24ca865cee01fdba0327820cc04980eacdab7bb2a","target":"graph","created_at":"2026-07-05T07:23:58Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2306.12585/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Modified theories of gravity encompass a class of $f(R)$-models that seek to elucidate the observed late time accelerated expansion of the universe. In this study, we examine a set of viable $f(R)$ models (Hu-Sawicki: two cases, Satrobinsky, Tsujikawa, exponential and arcTanh models) in metric formalism, using recent cosmological data sets: type Ia supernovae data, cosmic chronometer observations, baryonic acoustic oscillations data, data from H\\textsc{ii} starburst galaxies, and local measurements of the Hubble parameter $H_0$. The model parameters are constrained using a Bayesian analysis wi","authors_text":"Abhijit Bandyopadhyay, Anirban Chatterjee, Biswajit Jana, Kumar Ravi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-06-21T21:58:28Z","title":"Investigating the accelerated expansion of the Universe through updated constraints on viable $f(R)$ models within the metric formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.12585","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:de839c17105a6afad7cdf2d1e2657f7b209e6427bae39f372ab1bed9c23b6695","target":"record","created_at":"2026-07-05T07:23:58Z","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":"a1ea686b10761214de2182dd548d3d5b5ff3945ea64e8c86bf01f584155fb87a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-06-21T21:58:28Z","title_canon_sha256":"e1720848bd75613a6428f16922a29e369e8ca1a933934f9336ca5eeb0dd6ebe1"},"schema_version":"1.0","source":{"id":"2306.12585","kind":"arxiv","version":1}},"canonical_sha256":"da201eec7c08335083ae7f18e624fe9f5999fdac65669f6f34ce8847ac996d1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da201eec7c08335083ae7f18e624fe9f5999fdac65669f6f34ce8847ac996d1d","first_computed_at":"2026-07-05T07:23:58.426129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:23:58.426129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lFPqCfCN4Tc+Jv7M68J57Y3s5p3wDoAR/kaHxOOX+0QpDAe8KDPk6B82/WS9hj0ImV1JHIZIHc5A6cpQ999jAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:23:58.426559Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.12585","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de839c17105a6afad7cdf2d1e2657f7b209e6427bae39f372ab1bed9c23b6695","sha256:84e1ecf330140f95603facb24ca865cee01fdba0327820cc04980eacdab7bb2a"],"state_sha256":"eee912555ffc95b242b1ae769f4160c29f3bccf23f00b08c59c22c907e765e3b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"btV0Uz1BmjFovR1QL0YKjjyMZAeNita7kbbMmKjYsnSWv87jOf/HQZvpeqNjZPkGZ/LnAEPKywo8jHm7Wz8eBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T03:32:32.026507Z","bundle_sha256":"4fecd188bbb670245ef398c4a376c50ca4d5333238d3f4541277bbe199b56539"}}