{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:W6IJV2UIFKUU5FOGZTHJULGXF6","short_pith_number":"pith:W6IJV2UI","schema_version":"1.0","canonical_sha256":"b7909aea882aa94e95c6ccce9a2cd72f84e93853e5c7c68e2bd99920c27dc1d9","source":{"kind":"arxiv","id":"1805.11945","version":1},"attestation_state":"computed","paper":{"title":"Is a Topology Change After a Big Rip Possible?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"V.K. Oikonomou","submitted_at":"2018-05-30T13:35:47Z","abstract_excerpt":"Motivated by condensed matter physical systems, in which a finite-time singularity indicates that the topology of the system changes, we critically examine the possibility of the Universe's topology change at a finite-time cosmological singularity. We emphasize on Big Rip and Type II and IV cosmological singularities, which we classify to future spacelike and timelike singularities. For the Type IV and Type II singularities, since no geodesics incompleteness occurs, no topological change is allowed, by using Geroch's theorem arguments. However, for the Big Rip case, Tipler's arguments allow a "},"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":"1805.11945","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-30T13:35:47Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"86673fe19c65267b2a0083315bfddf2845f01c9c7b28178961ab6f760bf21a68","abstract_canon_sha256":"1041bd2ef8f8b161eaeffb1497882457e9f3dedf608365c65c8e25f5c754479f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:27.965150Z","signature_b64":"h9+SBJK/2CqQRdQ++nbxddYf0XSER3M2AUTgXZ5z2oZkfj4+cNbLkrn7Ar/0mWuqEzVz8hl5it/tn9idbzIJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7909aea882aa94e95c6ccce9a2cd72f84e93853e5c7c68e2bd99920c27dc1d9","last_reissued_at":"2026-05-17T23:50:27.964679Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:27.964679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Is a Topology Change After a Big Rip Possible?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"V.K. Oikonomou","submitted_at":"2018-05-30T13:35:47Z","abstract_excerpt":"Motivated by condensed matter physical systems, in which a finite-time singularity indicates that the topology of the system changes, we critically examine the possibility of the Universe's topology change at a finite-time cosmological singularity. We emphasize on Big Rip and Type II and IV cosmological singularities, which we classify to future spacelike and timelike singularities. For the Type IV and Type II singularities, since no geodesics incompleteness occurs, no topological change is allowed, by using Geroch's theorem arguments. However, for the Big Rip case, Tipler's arguments allow a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.11945","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":""},"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":"1805.11945","created_at":"2026-05-17T23:50:27.964754+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.11945v1","created_at":"2026-05-17T23:50:27.964754+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.11945","created_at":"2026-05-17T23:50:27.964754+00:00"},{"alias_kind":"pith_short_12","alias_value":"W6IJV2UIFKUU","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_16","alias_value":"W6IJV2UIFKUU5FOG","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_8","alias_value":"W6IJV2UI","created_at":"2026-05-18T12:32:59.047623+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.12076","citing_title":"Causality Violating Solutions in Curvature-Squared Gravity","ref_index":39,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/W6IJV2UIFKUU5FOGZTHJULGXF6","json":"https://pith.science/pith/W6IJV2UIFKUU5FOGZTHJULGXF6.json","graph_json":"https://pith.science/api/pith-number/W6IJV2UIFKUU5FOGZTHJULGXF6/graph.json","events_json":"https://pith.science/api/pith-number/W6IJV2UIFKUU5FOGZTHJULGXF6/events.json","paper":"https://pith.science/paper/W6IJV2UI"},"agent_actions":{"view_html":"https://pith.science/pith/W6IJV2UIFKUU5FOGZTHJULGXF6","download_json":"https://pith.science/pith/W6IJV2UIFKUU5FOGZTHJULGXF6.json","view_paper":"https://pith.science/paper/W6IJV2UI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.11945&json=true","fetch_graph":"https://pith.science/api/pith-number/W6IJV2UIFKUU5FOGZTHJULGXF6/graph.json","fetch_events":"https://pith.science/api/pith-number/W6IJV2UIFKUU5FOGZTHJULGXF6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W6IJV2UIFKUU5FOGZTHJULGXF6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W6IJV2UIFKUU5FOGZTHJULGXF6/action/storage_attestation","attest_author":"https://pith.science/pith/W6IJV2UIFKUU5FOGZTHJULGXF6/action/author_attestation","sign_citation":"https://pith.science/pith/W6IJV2UIFKUU5FOGZTHJULGXF6/action/citation_signature","submit_replication":"https://pith.science/pith/W6IJV2UIFKUU5FOGZTHJULGXF6/action/replication_record"}},"created_at":"2026-05-17T23:50:27.964754+00:00","updated_at":"2026-05-17T23:50:27.964754+00:00"}