{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:7FJOX5EQLP4WWJ4WVEGDQERCKW","short_pith_number":"pith:7FJOX5EQ","canonical_record":{"source":{"id":"1405.0139","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-05-01T11:42:44Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"a5dd6998004ff086a4ef33d70fc3f113b0af395ecf484774f34086d55903baac","abstract_canon_sha256":"6d4aa29db1db45a8bbd3c8c57c2a9ff517abc34c374c164d678edca0142d4dc9"},"schema_version":"1.0"},"canonical_sha256":"f952ebf4905bf96b2796a90c38122255a49bbd36d247d6fdcfbd6ea1a3ae67dd","source":{"kind":"arxiv","id":"1405.0139","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0139","created_at":"2026-05-18T02:32:00Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0139v2","created_at":"2026-05-18T02:32:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0139","created_at":"2026-05-18T02:32:00Z"},{"alias_kind":"pith_short_12","alias_value":"7FJOX5EQLP4W","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"7FJOX5EQLP4WWJ4W","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"7FJOX5EQ","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:7FJOX5EQLP4WWJ4WVEGDQERCKW","target":"record","payload":{"canonical_record":{"source":{"id":"1405.0139","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-05-01T11:42:44Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"a5dd6998004ff086a4ef33d70fc3f113b0af395ecf484774f34086d55903baac","abstract_canon_sha256":"6d4aa29db1db45a8bbd3c8c57c2a9ff517abc34c374c164d678edca0142d4dc9"},"schema_version":"1.0"},"canonical_sha256":"f952ebf4905bf96b2796a90c38122255a49bbd36d247d6fdcfbd6ea1a3ae67dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:00.022696Z","signature_b64":"aW9rObklm7/WY1eyU0jJc5V6QX1elNPEJr1E8lVVbg44wwx/JpRgjPcS0ZAGWgi6MZMxd4xMvpE/Wvh7/XHNCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f952ebf4905bf96b2796a90c38122255a49bbd36d247d6fdcfbd6ea1a3ae67dd","last_reissued_at":"2026-05-18T02:32:00.022232Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:00.022232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.0139","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:32:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZLRw+PcZxF7fbGSUZbZHmvvlz+8OYOx+YzFe94GPJZ/aMEGBuFpDbHTJShLgc6KhlBpd4VLmex19zfZUJ2GDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:23:03.949842Z"},"content_sha256":"f5282e2ba4c0d3011cc41f7af72dc3a2d48fc0af6fabfee14692e6b33de1c4b5","schema_version":"1.0","event_id":"sha256:f5282e2ba4c0d3011cc41f7af72dc3a2d48fc0af6fabfee14692e6b33de1c4b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:7FJOX5EQLP4WWJ4WVEGDQERCKW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmological bounces in spatially flat FRW spacetimes in metric f(R) gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"gr-qc","authors_text":"Kaushik Bhattacharya, Niladri Paul, Saikat Nil Chakrabarty","submitted_at":"2014-05-01T11:42:44Z","abstract_excerpt":"The present work analyzes the various conditions in which there can be a bouncing universe solution in f(R) gravity. In the article an interesting method, to analyze the bouncing FRW solutions in a spatially flat universe using f(R) gravity models using an effective Einstein frame description of the process, is presented. The analysis shows that a cosmological bounce in the f(R) theory need not be described by an equivalent bounce in the Einstein frame description of the process where actually there may be no bounce at all. Nevertheless the Einstein frame description of the bouncing phenomena "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0139","kind":"arxiv","version":2},"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":"2026-05-18T02:32:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5kYsQBAqbEs4/4h5Wd3W35E205VEb5rHlUhPD2Dk434CcUH2LlUv/JLWwqTKo0hNqW3r2nQChssoGbvzowfKCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:23:03.950576Z"},"content_sha256":"deeb1a5fd953dd0fe435c952d397bd2c028bf4f483a8303d6a44f298c75c4adf","schema_version":"1.0","event_id":"sha256:deeb1a5fd953dd0fe435c952d397bd2c028bf4f483a8303d6a44f298c75c4adf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7FJOX5EQLP4WWJ4WVEGDQERCKW/bundle.json","state_url":"https://pith.science/pith/7FJOX5EQLP4WWJ4WVEGDQERCKW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7FJOX5EQLP4WWJ4WVEGDQERCKW/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":"2026-05-25T12:23:03Z","links":{"resolver":"https://pith.science/pith/7FJOX5EQLP4WWJ4WVEGDQERCKW","bundle":"https://pith.science/pith/7FJOX5EQLP4WWJ4WVEGDQERCKW/bundle.json","state":"https://pith.science/pith/7FJOX5EQLP4WWJ4WVEGDQERCKW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7FJOX5EQLP4WWJ4WVEGDQERCKW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7FJOX5EQLP4WWJ4WVEGDQERCKW","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":"6d4aa29db1db45a8bbd3c8c57c2a9ff517abc34c374c164d678edca0142d4dc9","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-05-01T11:42:44Z","title_canon_sha256":"a5dd6998004ff086a4ef33d70fc3f113b0af395ecf484774f34086d55903baac"},"schema_version":"1.0","source":{"id":"1405.0139","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0139","created_at":"2026-05-18T02:32:00Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0139v2","created_at":"2026-05-18T02:32:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0139","created_at":"2026-05-18T02:32:00Z"},{"alias_kind":"pith_short_12","alias_value":"7FJOX5EQLP4W","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"7FJOX5EQLP4WWJ4W","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"7FJOX5EQ","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:deeb1a5fd953dd0fe435c952d397bd2c028bf4f483a8303d6a44f298c75c4adf","target":"graph","created_at":"2026-05-18T02:32:00Z","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":"The present work analyzes the various conditions in which there can be a bouncing universe solution in f(R) gravity. In the article an interesting method, to analyze the bouncing FRW solutions in a spatially flat universe using f(R) gravity models using an effective Einstein frame description of the process, is presented. The analysis shows that a cosmological bounce in the f(R) theory need not be described by an equivalent bounce in the Einstein frame description of the process where actually there may be no bounce at all. Nevertheless the Einstein frame description of the bouncing phenomena ","authors_text":"Kaushik Bhattacharya, Niladri Paul, Saikat Nil Chakrabarty","cross_cats":["astro-ph.HE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-05-01T11:42:44Z","title":"Cosmological bounces in spatially flat FRW spacetimes in metric f(R) gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0139","kind":"arxiv","version":2},"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:f5282e2ba4c0d3011cc41f7af72dc3a2d48fc0af6fabfee14692e6b33de1c4b5","target":"record","created_at":"2026-05-18T02:32:00Z","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":"6d4aa29db1db45a8bbd3c8c57c2a9ff517abc34c374c164d678edca0142d4dc9","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-05-01T11:42:44Z","title_canon_sha256":"a5dd6998004ff086a4ef33d70fc3f113b0af395ecf484774f34086d55903baac"},"schema_version":"1.0","source":{"id":"1405.0139","kind":"arxiv","version":2}},"canonical_sha256":"f952ebf4905bf96b2796a90c38122255a49bbd36d247d6fdcfbd6ea1a3ae67dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f952ebf4905bf96b2796a90c38122255a49bbd36d247d6fdcfbd6ea1a3ae67dd","first_computed_at":"2026-05-18T02:32:00.022232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:00.022232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aW9rObklm7/WY1eyU0jJc5V6QX1elNPEJr1E8lVVbg44wwx/JpRgjPcS0ZAGWgi6MZMxd4xMvpE/Wvh7/XHNCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:00.022696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.0139","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5282e2ba4c0d3011cc41f7af72dc3a2d48fc0af6fabfee14692e6b33de1c4b5","sha256:deeb1a5fd953dd0fe435c952d397bd2c028bf4f483a8303d6a44f298c75c4adf"],"state_sha256":"966352808d0e8bd32fab3e4e922a5abcc7b722555230bfeb6d8db9a8317742ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Xd5YG++XNEsEVCpN/s/+Em2bXEYU4CchSCQNbNubbcE7L6S0Ov9VxFUpqoIUlDOTCkZU0xvFwV6MgUwLiF7AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T12:23:03.954126Z","bundle_sha256":"27b45f9e836266c17d321e788dcc7962d7fb09077c2aca94a7ffc38f05ccdf53"}}