{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VOWWY4U7IQ7WE674A55PMIC6BN","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":"2a81befca89d67bdcb5c9d5a9a6f6950f37f10708ae06e513c48f1db23c3827a","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-07-10T14:21:35Z","title_canon_sha256":"dc240e3545a9d859bf0623ceccc7f4e6afb9abe83a275fc67f7d0c5b8bdd50b4"},"schema_version":"1.0","source":{"id":"1207.2365","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.2365","created_at":"2026-05-18T02:21:08Z"},{"alias_kind":"arxiv_version","alias_value":"1207.2365v1","created_at":"2026-05-18T02:21:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2365","created_at":"2026-05-18T02:21:08Z"},{"alias_kind":"pith_short_12","alias_value":"VOWWY4U7IQ7W","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VOWWY4U7IQ7WE674","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VOWWY4U7","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:2f68af70a0e40683bb555f4502d83d727abce594ae67e9bc65ac4b8314d87b0e","target":"graph","created_at":"2026-05-18T02:21:08Z","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":"According to experimental data of SNe Ia (Supernovae type Ia), we will discuss in detial dynamics of the DGP model and introduce a simple parametrization of matter $\\omega$, in order to analyze scenarios of the expanding universe and the evolution of the scale factor. We find that the dimensionless matter density parameter at the present epoch $\\Omega^0_m=0.3$, the age of the universe $t_0= 12.48$ Gyr, $\\frac{a}{a_0}=-2.4e^{\\frac{-t}{25.56}}+2.45$. The next we study the linear growth of matter perturbations, and we assume a definition of the growth rate, $f \\equiv \\frac{dln\\delta}{dlna}$. As m","authors_text":"V. Q. Phong","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-07-10T14:21:35Z","title":"Dynamic of the accelerated expansion of the universe in the DGP model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2365","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:e973a8c8ca1ea03c6715f1acf43de376643bf0147dcb9f10042ba78180629fa6","target":"record","created_at":"2026-05-18T02:21:08Z","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":"2a81befca89d67bdcb5c9d5a9a6f6950f37f10708ae06e513c48f1db23c3827a","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-07-10T14:21:35Z","title_canon_sha256":"dc240e3545a9d859bf0623ceccc7f4e6afb9abe83a275fc67f7d0c5b8bdd50b4"},"schema_version":"1.0","source":{"id":"1207.2365","kind":"arxiv","version":1}},"canonical_sha256":"abad6c729f443f627bfc077af6205e0b5ab1f3ba85bdd96930fc09ae886f6edc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abad6c729f443f627bfc077af6205e0b5ab1f3ba85bdd96930fc09ae886f6edc","first_computed_at":"2026-05-18T02:21:08.408424Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:08.408424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZWcrVNtDltFxgxQdEQvO1Fh7N2e+Dt7pG4cW4e10zncvG6t3bmefWsUKdODvBWI4pjFJV9RI/Easukt8FE4PCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:08.408882Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.2365","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e973a8c8ca1ea03c6715f1acf43de376643bf0147dcb9f10042ba78180629fa6","sha256:2f68af70a0e40683bb555f4502d83d727abce594ae67e9bc65ac4b8314d87b0e"],"state_sha256":"c637aaeff33fa6e4401028db5fc76b95f5d36eb4bcc974d5d1c100b1c20b73b1"}