{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HTHJFGGHEJOPXS3SVEDIHOVIJ3","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":"5e82b8e3dc570fea407913e2e6ef80ef0e4a0ea5123803a843fcec8633336cd3","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-08T11:40:25Z","title_canon_sha256":"c9707aa8230544dec6ee712d4b25b1dc12788ab38cc9f3e7472da66be7e07f98"},"schema_version":"1.0","source":{"id":"1308.1819","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.1819","created_at":"2026-05-18T01:23:30Z"},{"alias_kind":"arxiv_version","alias_value":"1308.1819v1","created_at":"2026-05-18T01:23:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1819","created_at":"2026-05-18T01:23:30Z"},{"alias_kind":"pith_short_12","alias_value":"HTHJFGGHEJOP","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HTHJFGGHEJOPXS3S","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HTHJFGGH","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:73f8dd043352fcef08e04bf42dc22b8a301311d11484143eda11d7b1ba6225ae","target":"graph","created_at":"2026-05-18T01:23:30Z","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":"This article motivated by the recent articles and results of two authors. Recently, J. Sadeghi and H. Farahani presented a work [1], where they include viscosity and analyze general model, by this way they extended models considered by M. Khurshudyan [2] and [3]. In this article, We tempt to consider varying Modified Chaplygin gas model in case of variable $G$ and $\\Lambda$. It is well known, that varying $G$ and $\\Lambda$ gives rise to modified field equations and modified conservation laws. We will consider two different toy models. First model is a Universe with one component phenomenologic","authors_text":"H. Farahani, J. Sadeghi, M. Khurshudyan","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-08T11:40:25Z","title":"Phenomenological Varying Modified Chaplygin Gas with Variable $G$ and $\\Lambda$: Toy Models for Our Universe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1819","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":"sha256:8f51d2a088ed1992ec8b65bb9bb15e69f9f21b953590ad9913e27ad06e8689da","target":"record","created_at":"2026-05-18T01:23:30Z","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":"5e82b8e3dc570fea407913e2e6ef80ef0e4a0ea5123803a843fcec8633336cd3","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-08T11:40:25Z","title_canon_sha256":"c9707aa8230544dec6ee712d4b25b1dc12788ab38cc9f3e7472da66be7e07f98"},"schema_version":"1.0","source":{"id":"1308.1819","kind":"arxiv","version":1}},"canonical_sha256":"3cce9298c7225cfbcb72a90683baa84ecc6c2cf0bc6b22d0f1562076b1348b71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cce9298c7225cfbcb72a90683baa84ecc6c2cf0bc6b22d0f1562076b1348b71","first_computed_at":"2026-05-18T01:23:30.046952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:30.046952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"960XVBSBymj/0z+pkS3Yytbav8zh80tz6pVt6jtsNBn2mzyhmxKu2nAfts00Vwd2xI8ulADuNK8mwtiErv13AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:30.047597Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.1819","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f51d2a088ed1992ec8b65bb9bb15e69f9f21b953590ad9913e27ad06e8689da","sha256:73f8dd043352fcef08e04bf42dc22b8a301311d11484143eda11d7b1ba6225ae"],"state_sha256":"2a7655a0aab822089d5b6638a5725860aeb1ff1a20533ef2e95c2456c7933a77"}