{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PTN3FCOVBZRLDGUWYJJLI3F2EU","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":"7f84718328539376349bce4a5e3f49fbc375d5c9cb79be1e8132425f78fb12c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-02T13:23:46Z","title_canon_sha256":"2a86cb1dc29a47baffe65317be56dea51b79a522c405bbc53021c1b9d8cf7c06"},"schema_version":"1.0","source":{"id":"1505.00342","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00342","created_at":"2026-05-18T01:24:24Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00342v3","created_at":"2026-05-18T01:24:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00342","created_at":"2026-05-18T01:24:24Z"},{"alias_kind":"pith_short_12","alias_value":"PTN3FCOVBZRL","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PTN3FCOVBZRLDGUW","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PTN3FCOV","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:af69a4315c2b093f565fc13ba5e249268fa1816185511450801075594567a67a","target":"graph","created_at":"2026-05-18T01:24:24Z","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":"By presenting a relation between average energy of the ensemble of probe photons and energy density of the Universe, in the context of {\\it gravity's rainbow} or {\\it doubly general relativity} scenario, we introduce a rainbow FRW Universe model. By analyzing the fixed points in flat FRW model modified by two well known rainbow functions, we find that the finite time singularity avoidance (i.e. Big-Bang) may still remain as a problem. Then, we follow the \"Emergent Universe\" scenario in which there is no beginning of time and consequently there is no Big-Bang singularity. Moreover, we study the","authors_text":"F. Darabi, K. Nozari, M. Khodadi, Y. Heydarzade","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-02T13:23:46Z","title":"On the Stability of Einstein Static Universe in Doubly General Relativity Scenario"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00342","kind":"arxiv","version":3},"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:bf84b333f9f9299ada59cc557afb8b25dafbd32e9142eade89569b4105050825","target":"record","created_at":"2026-05-18T01:24:24Z","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":"7f84718328539376349bce4a5e3f49fbc375d5c9cb79be1e8132425f78fb12c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-02T13:23:46Z","title_canon_sha256":"2a86cb1dc29a47baffe65317be56dea51b79a522c405bbc53021c1b9d8cf7c06"},"schema_version":"1.0","source":{"id":"1505.00342","kind":"arxiv","version":3}},"canonical_sha256":"7cdbb289d50e62b19a96c252b46cba2503fd385da18d4aebc081d64af0f7e2cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cdbb289d50e62b19a96c252b46cba2503fd385da18d4aebc081d64af0f7e2cf","first_computed_at":"2026-05-18T01:24:24.927157Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:24.927157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pRkR/fXmuh0/RiX1MlD1a4fTJM3Au1D6TD9WU4wWeMS9CS+M8yRGvkLwCAkmYmBbymz3AaagcjRPNzbDZyyfAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:24.927673Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00342","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf84b333f9f9299ada59cc557afb8b25dafbd32e9142eade89569b4105050825","sha256:af69a4315c2b093f565fc13ba5e249268fa1816185511450801075594567a67a"],"state_sha256":"72752b9ee31d42b3a1319efb4c7252d1d586333b7f8e2bed55382718528f0a33"}