{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XMQPKHQLPC6CR6NUO5IV5W5TWI","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":"de04d0f3712ec73095951dc67e79339b54e4dc3d6ab3b5dfc97ad15ef519639d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-05-03T09:34:55Z","title_canon_sha256":"0084df4c3b310236ac793e1eb34ec09c82aa01b0fa2e212e36bdb0e2e3de00f6"},"schema_version":"1.0","source":{"id":"1205.0660","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0660","created_at":"2026-05-18T01:57:38Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0660v2","created_at":"2026-05-18T01:57:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0660","created_at":"2026-05-18T01:57:38Z"},{"alias_kind":"pith_short_12","alias_value":"XMQPKHQLPC6C","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XMQPKHQLPC6CR6NU","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XMQPKHQL","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:d904412dd0c5d71224cd237d3fa71021d57ef241fc9dff25c011e07651499a39","target":"graph","created_at":"2026-05-18T01:57:38Z","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 cosmic microwave background (CMB) anisotropies in spherical 3-spaces with a non-trivial topology are studied. This paper discusses the special class of the so-called double-action manifolds, which are for the first time analysed with respect to their CMB anisotropies. The CMB anisotropies are computed for all prism double-action manifolds generated by a binary dihedral and a cyclic group with a group order of up to 180 leading to 33 different topologies. Several spaces are found which show a suppression of the CMB anisotropies on large angular distances as it is found on the real CMB sky. ","authors_text":"Ralf Aurich, Sven Lustig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-05-03T09:34:55Z","title":"Cosmic Topology of Prism Double-Action Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0660","kind":"arxiv","version":2},"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:ca19cbfd65ccb02be4f84713ccb8650ab4ed11b20b22b8598b54b3af36796127","target":"record","created_at":"2026-05-18T01:57:38Z","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":"de04d0f3712ec73095951dc67e79339b54e4dc3d6ab3b5dfc97ad15ef519639d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-05-03T09:34:55Z","title_canon_sha256":"0084df4c3b310236ac793e1eb34ec09c82aa01b0fa2e212e36bdb0e2e3de00f6"},"schema_version":"1.0","source":{"id":"1205.0660","kind":"arxiv","version":2}},"canonical_sha256":"bb20f51e0b78bc28f9b477515edbb3b2037e9cf94185d9fea002e19dda4c5834","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb20f51e0b78bc28f9b477515edbb3b2037e9cf94185d9fea002e19dda4c5834","first_computed_at":"2026-05-18T01:57:38.520583Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:38.520583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8J1O2tyGuKe6KdjcoIrTNGN+AkLeog/tmQfOLHW2+/9gHXZCIn8nzFKUARh1YC8W1bIao1sOAGZMjBHZGpYiCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:38.521245Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.0660","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca19cbfd65ccb02be4f84713ccb8650ab4ed11b20b22b8598b54b3af36796127","sha256:d904412dd0c5d71224cd237d3fa71021d57ef241fc9dff25c011e07651499a39"],"state_sha256":"d5cbff4a4f1cb10cb8a7cb4033b040db5d0b0687a2b2fc4e2da3d21779c4e56e"}