{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3IDINQPLMR6RFGI6UKJ43SNGUW","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":"5139cdf7fbbcaee7c5cc60cfbab2605ed2863ab3c1615a3e8334b833eb900118","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-02-18T20:49:03Z","title_canon_sha256":"903dc17c7cf9cdaf38d51574b766574f50cedb7fee0627310b190d21b8262c3e"},"schema_version":"1.0","source":{"id":"1302.4425","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4425","created_at":"2026-05-18T03:03:21Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4425v3","created_at":"2026-05-18T03:03:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4425","created_at":"2026-05-18T03:03:21Z"},{"alias_kind":"pith_short_12","alias_value":"3IDINQPLMR6R","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3IDINQPLMR6RFGI6","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3IDINQPL","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:a8448648b26adc4b1bab7c8c911e5983d0950cdeeb3e5cedcf46a622cc197515","target":"graph","created_at":"2026-05-18T03:03:21Z","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":"The 3-torus (T^3) FLRW model better fits the nearly zero large-scale auto-correlation of the WMAP CMB sky maps than the infinite flat model. The T^3 model's WMAP parameters imply approximately equal-redshift topological lensing at z \\sim 6. We investigate observational strategies for rejecting the T^3 solution or providing candidate topologically lensed galaxy pairs. T^3 holonomies are applied to (i) existing z \\sim 6 observations and (ii) simulated observations, creating multiply connected catalogues. Corresponding simply connected catalogues are generated. Each catalogue is analysed using a ","authors_text":"Boudewijn F. Roukema, Martin J. France, Thomas Buchert, Tomasz A. Kazimierczak","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-02-18T20:49:03Z","title":"Deep redshift topological lensing: strategies for the T^3 candidate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4425","kind":"arxiv","version":3},"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:ec3715f1b970bb4a01e993522417d6770f2c0b6d655093bf4c9f9e5b3d706611","target":"record","created_at":"2026-05-18T03:03:21Z","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":"5139cdf7fbbcaee7c5cc60cfbab2605ed2863ab3c1615a3e8334b833eb900118","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-02-18T20:49:03Z","title_canon_sha256":"903dc17c7cf9cdaf38d51574b766574f50cedb7fee0627310b190d21b8262c3e"},"schema_version":"1.0","source":{"id":"1302.4425","kind":"arxiv","version":3}},"canonical_sha256":"da0686c1eb647d12991ea293cdc9a6a591aa46619eac41ba412cf5d4c24a8e98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da0686c1eb647d12991ea293cdc9a6a591aa46619eac41ba412cf5d4c24a8e98","first_computed_at":"2026-05-18T03:03:21.119240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:21.119240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jd07HqwIIHhzCL4arqbAtSS51zrDf1d22H71sv8hmSE8T50o+18yOniFKVc1Z2RbqeSmy9u26wOyRrDmI295BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:21.119981Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.4425","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec3715f1b970bb4a01e993522417d6770f2c0b6d655093bf4c9f9e5b3d706611","sha256:a8448648b26adc4b1bab7c8c911e5983d0950cdeeb3e5cedcf46a622cc197515"],"state_sha256":"e9115190e4b7e3c3cfde1e9e793c4acb84b74489d75eb559ccecd4f2f53566d5"}