{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:J2PTDTX25DEVRHKGMZI2QRLXIG","short_pith_number":"pith:J2PTDTX2","schema_version":"1.0","canonical_sha256":"4e9f31cefae8c9589d466651a8457741a34ccc78d7cc99d7d687734b9b66a8f6","source":{"kind":"arxiv","id":"2507.15754","version":1},"attestation_state":"computed","paper":{"title":"Dynamical analysis of bulk viscous cosmological model in $F(T)$ gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"B. C. Paul, Chanchal Mondal, Partha Sarathi Debnath","submitted_at":"2025-07-21T16:10:16Z","abstract_excerpt":"Bulk viscous cosmological models is presented in the teleparallel ($F(T)$, where $T$ denotes torsion) gravity. In the teleparallel gravity, the Lagrangian of the gravitational action contains a general function $F(T)= T+ f(T)=(1+ \\gamma) T+\\alpha (-T)^n$, where $\\gamma$, $n$ and $\\alpha$ are dimensional constants. Cosmological solutions in Eckart theory and Truncated Israel Stewart theory are talked about in $F(T)=(1+ \\gamma) T+\\alpha (-T)^n$ gravity form which is one of the most generalized gravity form in the torsional gravity. The substantial and geometrical prospective of the cosmological "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2507.15754","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-07-21T16:10:16Z","cross_cats_sorted":[],"title_canon_sha256":"e4aa39b148dc38a72d36ea2a1d682245c2430d666437e054a1e0d641b461ae19","abstract_canon_sha256":"ad0393cdf6c231d082ddc58093a1b79180d4a7a1aeb05b1c8f29ec8eb7b365a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:40:43.570510Z","signature_b64":"OLuahXzvp2Cq1bOzx+9GvEyOKWmIAx4PrJJ46/CTcEOWyjVM/4rtqHvKQEJ8dh34HoLDA6AExGWwOBcouEbSDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e9f31cefae8c9589d466651a8457741a34ccc78d7cc99d7d687734b9b66a8f6","last_reissued_at":"2026-07-05T11:40:43.570031Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:40:43.570031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamical analysis of bulk viscous cosmological model in $F(T)$ gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"B. C. Paul, Chanchal Mondal, Partha Sarathi Debnath","submitted_at":"2025-07-21T16:10:16Z","abstract_excerpt":"Bulk viscous cosmological models is presented in the teleparallel ($F(T)$, where $T$ denotes torsion) gravity. In the teleparallel gravity, the Lagrangian of the gravitational action contains a general function $F(T)= T+ f(T)=(1+ \\gamma) T+\\alpha (-T)^n$, where $\\gamma$, $n$ and $\\alpha$ are dimensional constants. Cosmological solutions in Eckart theory and Truncated Israel Stewart theory are talked about in $F(T)=(1+ \\gamma) T+\\alpha (-T)^n$ gravity form which is one of the most generalized gravity form in the torsional gravity. The substantial and geometrical prospective of the cosmological "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.15754","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.15754/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2507.15754","created_at":"2026-07-05T11:40:43.570087+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.15754v1","created_at":"2026-07-05T11:40:43.570087+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.15754","created_at":"2026-07-05T11:40:43.570087+00:00"},{"alias_kind":"pith_short_12","alias_value":"J2PTDTX25DEV","created_at":"2026-07-05T11:40:43.570087+00:00"},{"alias_kind":"pith_short_16","alias_value":"J2PTDTX25DEVRHKG","created_at":"2026-07-05T11:40:43.570087+00:00"},{"alias_kind":"pith_short_8","alias_value":"J2PTDTX2","created_at":"2026-07-05T11:40:43.570087+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/J2PTDTX25DEVRHKGMZI2QRLXIG","json":"https://pith.science/pith/J2PTDTX25DEVRHKGMZI2QRLXIG.json","graph_json":"https://pith.science/api/pith-number/J2PTDTX25DEVRHKGMZI2QRLXIG/graph.json","events_json":"https://pith.science/api/pith-number/J2PTDTX25DEVRHKGMZI2QRLXIG/events.json","paper":"https://pith.science/paper/J2PTDTX2"},"agent_actions":{"view_html":"https://pith.science/pith/J2PTDTX25DEVRHKGMZI2QRLXIG","download_json":"https://pith.science/pith/J2PTDTX25DEVRHKGMZI2QRLXIG.json","view_paper":"https://pith.science/paper/J2PTDTX2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.15754&json=true","fetch_graph":"https://pith.science/api/pith-number/J2PTDTX25DEVRHKGMZI2QRLXIG/graph.json","fetch_events":"https://pith.science/api/pith-number/J2PTDTX25DEVRHKGMZI2QRLXIG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J2PTDTX25DEVRHKGMZI2QRLXIG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J2PTDTX25DEVRHKGMZI2QRLXIG/action/storage_attestation","attest_author":"https://pith.science/pith/J2PTDTX25DEVRHKGMZI2QRLXIG/action/author_attestation","sign_citation":"https://pith.science/pith/J2PTDTX25DEVRHKGMZI2QRLXIG/action/citation_signature","submit_replication":"https://pith.science/pith/J2PTDTX25DEVRHKGMZI2QRLXIG/action/replication_record"}},"created_at":"2026-07-05T11:40:43.570087+00:00","updated_at":"2026-07-05T11:40:43.570087+00:00"}