{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:YCVL6FLWJIIFCVT6PX6GTXVUOX","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":"f41e1b6a6c4c1d4b63989034da56d35cbd04508dd085acf67db27cade27ceb05","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-02-06T16:57:01Z","title_canon_sha256":"f4166cfebbad42629fc93097bcf21c4a77b295e6165f263e6b6d36b122506fad"},"schema_version":"1.0","source":{"id":"2102.03612","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.03612","created_at":"2026-07-05T02:16:01Z"},{"alias_kind":"arxiv_version","alias_value":"2102.03612v1","created_at":"2026-07-05T02:16:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.03612","created_at":"2026-07-05T02:16:01Z"},{"alias_kind":"pith_short_12","alias_value":"YCVL6FLWJIIF","created_at":"2026-07-05T02:16:01Z"},{"alias_kind":"pith_short_16","alias_value":"YCVL6FLWJIIFCVT6","created_at":"2026-07-05T02:16:01Z"},{"alias_kind":"pith_short_8","alias_value":"YCVL6FLW","created_at":"2026-07-05T02:16:01Z"}],"graph_snapshots":[{"event_id":"sha256:4e4e84dfd2fa005014d7e4a20d4ead699f923ee5d81c71d1f5590065526cee6a","target":"graph","created_at":"2026-07-05T02:16:01Z","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/2102.03612/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we analyze the modified $f(\\mathcal{R})$ gravity models in Friedmann--Lema\\^{\\i}tre--Robertson--Walker (FLRW) background. The actions of bouncing cosmology are studied under consideration of different viable models in $f(\\mathcal{R})$ gravity theory that can resolve the difficulty of singularity in standard Big-Bang cosmology. Under different viable models in $f(\\mathcal{R})$ gravity theory, the cosmological constraints are plotted in provisions of cosmic-time, then investigated the bounce circumstance. In addition, the red-shift parameter is used to reconstruct the modified gra","authors_text":"M. Ilyas, W. U. Rahman","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-02-06T16:57:01Z","title":"Bounce cosmology in $f(\\mathcal{R})$ gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.03612","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":"sha256:4dcb678cfe7775be0c61ae363bdf6e6990ee5002051c70338ece0847b5f50725","target":"record","created_at":"2026-07-05T02:16:01Z","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":"f41e1b6a6c4c1d4b63989034da56d35cbd04508dd085acf67db27cade27ceb05","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-02-06T16:57:01Z","title_canon_sha256":"f4166cfebbad42629fc93097bcf21c4a77b295e6165f263e6b6d36b122506fad"},"schema_version":"1.0","source":{"id":"2102.03612","kind":"arxiv","version":1}},"canonical_sha256":"c0aabf15764a1051567e7dfc69deb475fdd282ab5ad5e0ea9ad0491401a99233","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0aabf15764a1051567e7dfc69deb475fdd282ab5ad5e0ea9ad0491401a99233","first_computed_at":"2026-07-05T02:16:01.787116Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:16:01.787116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vRyj5UxYQQhQzNVIEB3Wvi2PnhFwnEXG3YnJACueoIaPqhFlIxAdX/qFUr9yRkwO0BLRxasAwTUOQ5YnxYLZAw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:16:01.787596Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.03612","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4dcb678cfe7775be0c61ae363bdf6e6990ee5002051c70338ece0847b5f50725","sha256:4e4e84dfd2fa005014d7e4a20d4ead699f923ee5d81c71d1f5590065526cee6a"],"state_sha256":"e3983927b250e3f9d3d976a964852ce7997be781920ba99455c47e0e5c954b3a"}