{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:P3JVMQ2DJ7Y43A2VNEXHJY3YNV","short_pith_number":"pith:P3JVMQ2D","canonical_record":{"source":{"id":"2212.00472","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-01T12:55:25Z","cross_cats_sorted":[],"title_canon_sha256":"05d6bcc77c264e235c4e06b0130fec2be87b28592555517794dd521a15b99fa4","abstract_canon_sha256":"caaed1629eb27d6d9b8d3a3eec4fa8f4e4624ad6ad4368b87fdd642067cbc6f6"},"schema_version":"1.0"},"canonical_sha256":"7ed35643434ff1cd8355692e74e3786d7d87deb4616557633f86ff0d6f5ab862","source":{"kind":"arxiv","id":"2212.00472","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.00472","created_at":"2026-07-05T06:02:02Z"},{"alias_kind":"arxiv_version","alias_value":"2212.00472v1","created_at":"2026-07-05T06:02:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.00472","created_at":"2026-07-05T06:02:02Z"},{"alias_kind":"pith_short_12","alias_value":"P3JVMQ2DJ7Y4","created_at":"2026-07-05T06:02:02Z"},{"alias_kind":"pith_short_16","alias_value":"P3JVMQ2DJ7Y43A2V","created_at":"2026-07-05T06:02:02Z"},{"alias_kind":"pith_short_8","alias_value":"P3JVMQ2D","created_at":"2026-07-05T06:02:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:P3JVMQ2DJ7Y43A2VNEXHJY3YNV","target":"record","payload":{"canonical_record":{"source":{"id":"2212.00472","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-01T12:55:25Z","cross_cats_sorted":[],"title_canon_sha256":"05d6bcc77c264e235c4e06b0130fec2be87b28592555517794dd521a15b99fa4","abstract_canon_sha256":"caaed1629eb27d6d9b8d3a3eec4fa8f4e4624ad6ad4368b87fdd642067cbc6f6"},"schema_version":"1.0"},"canonical_sha256":"7ed35643434ff1cd8355692e74e3786d7d87deb4616557633f86ff0d6f5ab862","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:02:02.616666Z","signature_b64":"l1T/IRRuJJunLKM2c5xZFrXQ9noxdyMzr5lbn3pQR7oAeZ/oFGes141o049yDPzLU2RjJ9l31ooV9WbYWoHnAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ed35643434ff1cd8355692e74e3786d7d87deb4616557633f86ff0d6f5ab862","last_reissued_at":"2026-07-05T06:02:02.616184Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:02:02.616184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.00472","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":"2026-07-05T06:02:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"thSfw4vyQwW7lBE4vTq3MuaGp+E3uK8wd/3v07aiiQNPsAZ8+NaD+buVvrKot3aWJAISzToK4MsTRrdeOgnVDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T08:21:29.913746Z"},"content_sha256":"506f6a5843c7f7f685a076c438afe88b0ff170151f654f8ef88c6626e28c8917","schema_version":"1.0","event_id":"sha256:506f6a5843c7f7f685a076c438afe88b0ff170151f654f8ef88c6626e28c8917"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:P3JVMQ2DJ7Y43A2VNEXHJY3YNV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constant-Roll Inflation in modified $f(R,\\phi)$ gravity model using Palatini Formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Arun Rana, Rahul Thakur, Sukanta Panda","submitted_at":"2022-12-01T12:55:25Z","abstract_excerpt":"In this work, we study a constant-roll inflationary model in the Palatini formalism using modified gravity. Here our action consists a non-minimal coupling of a scalar field $\\phi$ with Ricci scalar $R$ in a general form of $f(R,\\phi)$. Using Palatini approach, we write its equivalent scalar-tensor form in the Einstein frame and then apply the constant-roll condition in the equation of motion for the inflaton field. Later the tensor-to-scalar ratio and the spectral index are calculated using the slow-roll parameters and the results obtained are matched with the Planck 2018 data. We found that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.00472","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/2212.00472/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":"2026-07-05T06:02:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"izfsBNRXnTBceqRf2N0b1Gn2uiMfIY69IxpXQfxEwOI9IQL4epaG9MHszzKlwjbOp/do53gm4Z7ysJ2DnFrsBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T08:21:29.914707Z"},"content_sha256":"0e0bfafdd64579fa6e81d7d0ff2eafea2e634df6a90b9a5092de1b2169f2edc1","schema_version":"1.0","event_id":"sha256:0e0bfafdd64579fa6e81d7d0ff2eafea2e634df6a90b9a5092de1b2169f2edc1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P3JVMQ2DJ7Y43A2VNEXHJY3YNV/bundle.json","state_url":"https://pith.science/pith/P3JVMQ2DJ7Y43A2VNEXHJY3YNV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P3JVMQ2DJ7Y43A2VNEXHJY3YNV/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":"2026-08-06T08:21:29Z","links":{"resolver":"https://pith.science/pith/P3JVMQ2DJ7Y43A2VNEXHJY3YNV","bundle":"https://pith.science/pith/P3JVMQ2DJ7Y43A2VNEXHJY3YNV/bundle.json","state":"https://pith.science/pith/P3JVMQ2DJ7Y43A2VNEXHJY3YNV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P3JVMQ2DJ7Y43A2VNEXHJY3YNV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:P3JVMQ2DJ7Y43A2VNEXHJY3YNV","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":"caaed1629eb27d6d9b8d3a3eec4fa8f4e4624ad6ad4368b87fdd642067cbc6f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-01T12:55:25Z","title_canon_sha256":"05d6bcc77c264e235c4e06b0130fec2be87b28592555517794dd521a15b99fa4"},"schema_version":"1.0","source":{"id":"2212.00472","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.00472","created_at":"2026-07-05T06:02:02Z"},{"alias_kind":"arxiv_version","alias_value":"2212.00472v1","created_at":"2026-07-05T06:02:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.00472","created_at":"2026-07-05T06:02:02Z"},{"alias_kind":"pith_short_12","alias_value":"P3JVMQ2DJ7Y4","created_at":"2026-07-05T06:02:02Z"},{"alias_kind":"pith_short_16","alias_value":"P3JVMQ2DJ7Y43A2V","created_at":"2026-07-05T06:02:02Z"},{"alias_kind":"pith_short_8","alias_value":"P3JVMQ2D","created_at":"2026-07-05T06:02:02Z"}],"graph_snapshots":[{"event_id":"sha256:0e0bfafdd64579fa6e81d7d0ff2eafea2e634df6a90b9a5092de1b2169f2edc1","target":"graph","created_at":"2026-07-05T06:02:02Z","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/2212.00472/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we study a constant-roll inflationary model in the Palatini formalism using modified gravity. Here our action consists a non-minimal coupling of a scalar field $\\phi$ with Ricci scalar $R$ in a general form of $f(R,\\phi)$. Using Palatini approach, we write its equivalent scalar-tensor form in the Einstein frame and then apply the constant-roll condition in the equation of motion for the inflaton field. Later the tensor-to-scalar ratio and the spectral index are calculated using the slow-roll parameters and the results obtained are matched with the Planck 2018 data. We found that ","authors_text":"Arun Rana, Rahul Thakur, Sukanta Panda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-01T12:55:25Z","title":"Constant-Roll Inflation in modified $f(R,\\phi)$ gravity model using Palatini Formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.00472","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":"sha256:506f6a5843c7f7f685a076c438afe88b0ff170151f654f8ef88c6626e28c8917","target":"record","created_at":"2026-07-05T06:02:02Z","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":"caaed1629eb27d6d9b8d3a3eec4fa8f4e4624ad6ad4368b87fdd642067cbc6f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-01T12:55:25Z","title_canon_sha256":"05d6bcc77c264e235c4e06b0130fec2be87b28592555517794dd521a15b99fa4"},"schema_version":"1.0","source":{"id":"2212.00472","kind":"arxiv","version":1}},"canonical_sha256":"7ed35643434ff1cd8355692e74e3786d7d87deb4616557633f86ff0d6f5ab862","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ed35643434ff1cd8355692e74e3786d7d87deb4616557633f86ff0d6f5ab862","first_computed_at":"2026-07-05T06:02:02.616184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:02:02.616184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l1T/IRRuJJunLKM2c5xZFrXQ9noxdyMzr5lbn3pQR7oAeZ/oFGes141o049yDPzLU2RjJ9l31ooV9WbYWoHnAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:02:02.616666Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.00472","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:506f6a5843c7f7f685a076c438afe88b0ff170151f654f8ef88c6626e28c8917","sha256:0e0bfafdd64579fa6e81d7d0ff2eafea2e634df6a90b9a5092de1b2169f2edc1"],"state_sha256":"460886892502a2bb50d5196f9b6ad61f636b692dc430bf8eea6a213985001552"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0uLVL1rFwlVKuQofByUsJDZnZEoFx2J1znth5AkAjVTEQSiM8AZzjW5F7V6y0WRk78dsp8Q9+btdAXfTek64AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T08:21:29.922897Z","bundle_sha256":"94d7222832c02f2518e0003a0107532f9272449102f7055ce5ca2931db6c1c9e"}}