{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:NUSQIXWKJIAU3YEVTAB6N6OS3I","short_pith_number":"pith:NUSQIXWK","schema_version":"1.0","canonical_sha256":"6d25045eca4a014de0959803e6f9d2da29d45026d4129b29fd8f8ef699984908","source":{"kind":"arxiv","id":"gr-qc/0403084","version":3},"attestation_state":"computed","paper":{"title":"Sudden Future Singularities","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"John D. Barrow","submitted_at":"2004-03-19T10:17:02Z","abstract_excerpt":"We show that a singularity can occur at a finite future time in an expanding Friedmann universe even when the density is positive and the density plus the sum of the principal pressures is positive. Explicit examples are constructed and a simple condition is given which can be used to eliminate behaviour of this sort if it is judged to be unphysical."},"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":"gr-qc/0403084","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2004-03-19T10:17:02Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"acd07458acad8e8188066986af6ed8ab117d2130af13089dc32a5b111eda7d40","abstract_canon_sha256":"8ca196ebed7b1d4f8ad6498f3f87ca53f2869d6f93d083b843bbed001df3051b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:47:42.525151Z","signature_b64":"cUG8fVRB8+tDakSpjWaufMjnPr4qewVYIggwQbZo6XEUS9fY4DjAK/zh1IRthABw0BFEordjEeQwj+4m8gevAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d25045eca4a014de0959803e6f9d2da29d45026d4129b29fd8f8ef699984908","last_reissued_at":"2026-07-04T16:47:42.524821Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:47:42.524821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sudden Future Singularities","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"John D. Barrow","submitted_at":"2004-03-19T10:17:02Z","abstract_excerpt":"We show that a singularity can occur at a finite future time in an expanding Friedmann universe even when the density is positive and the density plus the sum of the principal pressures is positive. Explicit examples are constructed and a simple condition is given which can be used to eliminate behaviour of this sort if it is judged to be unphysical."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0403084","kind":"arxiv","version":3},"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/gr-qc/0403084/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":"gr-qc/0403084","created_at":"2026-07-04T16:47:42.524876+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0403084v3","created_at":"2026-07-04T16:47:42.524876+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0403084","created_at":"2026-07-04T16:47:42.524876+00:00"},{"alias_kind":"pith_short_12","alias_value":"NUSQIXWKJIAU","created_at":"2026-07-04T16:47:42.524876+00:00"},{"alias_kind":"pith_short_16","alias_value":"NUSQIXWKJIAU3YEV","created_at":"2026-07-04T16:47:42.524876+00:00"},{"alias_kind":"pith_short_8","alias_value":"NUSQIXWK","created_at":"2026-07-04T16:47:42.524876+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":10,"internal_anchor_count":9,"sample":[{"citing_arxiv_id":"2605.27301","citing_title":"Effective Phantom Dark Energy: What Cosmological Reconstruction Does and Does Not Imply","ref_index":78,"is_internal_anchor":true},{"citing_arxiv_id":"2606.22431","citing_title":"An Interplay Between Fractional Calculus and Holographic Dark Energy","ref_index":267,"is_internal_anchor":true},{"citing_arxiv_id":"1907.06854","citing_title":"$\\Lambda$CDM-like models with future singularities","ref_index":13,"is_internal_anchor":true},{"citing_arxiv_id":"1907.06880","citing_title":"Finite scale factor and future singularities","ref_index":14,"is_internal_anchor":true},{"citing_arxiv_id":"2402.07716","citing_title":"$\\Lambda_{\\rm s}$CDM cosmology from a type-II minimally modified gravity","ref_index":152,"is_internal_anchor":true},{"citing_arxiv_id":"2510.18741","citing_title":"Nonlinear Matter Power Spectrum from relativistic $N$-body Simulations: $\\Lambda_{\\rm s}$CDM versus $\\Lambda$CDM","ref_index":229,"is_internal_anchor":true},{"citing_arxiv_id":"2512.10850","citing_title":"F(R,..) theories from the point of view of the Hamiltonian approach: non-vacuum Anisotropic Bianchi type I cosmological model","ref_index":57,"is_internal_anchor":true},{"citing_arxiv_id":"2512.20383","citing_title":"A Spectrum of Cosmological Rips and Their Observational Signatures","ref_index":21,"is_internal_anchor":true},{"citing_arxiv_id":"2602.21642","citing_title":"Geodesic completion of big bangs from emergent geometry","ref_index":9,"is_internal_anchor":true},{"citing_arxiv_id":"2604.28188","citing_title":"Cosmology of fractional gravity","ref_index":127,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NUSQIXWKJIAU3YEVTAB6N6OS3I","json":"https://pith.science/pith/NUSQIXWKJIAU3YEVTAB6N6OS3I.json","graph_json":"https://pith.science/api/pith-number/NUSQIXWKJIAU3YEVTAB6N6OS3I/graph.json","events_json":"https://pith.science/api/pith-number/NUSQIXWKJIAU3YEVTAB6N6OS3I/events.json","paper":"https://pith.science/paper/NUSQIXWK"},"agent_actions":{"view_html":"https://pith.science/pith/NUSQIXWKJIAU3YEVTAB6N6OS3I","download_json":"https://pith.science/pith/NUSQIXWKJIAU3YEVTAB6N6OS3I.json","view_paper":"https://pith.science/paper/NUSQIXWK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0403084&json=true","fetch_graph":"https://pith.science/api/pith-number/NUSQIXWKJIAU3YEVTAB6N6OS3I/graph.json","fetch_events":"https://pith.science/api/pith-number/NUSQIXWKJIAU3YEVTAB6N6OS3I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NUSQIXWKJIAU3YEVTAB6N6OS3I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NUSQIXWKJIAU3YEVTAB6N6OS3I/action/storage_attestation","attest_author":"https://pith.science/pith/NUSQIXWKJIAU3YEVTAB6N6OS3I/action/author_attestation","sign_citation":"https://pith.science/pith/NUSQIXWKJIAU3YEVTAB6N6OS3I/action/citation_signature","submit_replication":"https://pith.science/pith/NUSQIXWKJIAU3YEVTAB6N6OS3I/action/replication_record"}},"created_at":"2026-07-04T16:47:42.524876+00:00","updated_at":"2026-07-04T16:47:42.524876+00:00"}